Metrics for Trigonometry B

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze127.0ms (1.4%)

Memory

18.2MiB live, 335.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
50%	50%	50%	0%	0%	0%	0%	5
50%	50%	50%	0%	0%	0%	0%	6
50%	50%	50%	0%	0%	0%	0%	7
50%	50%	50%	0%	0%	0%	0%	8
50%	50%	50%	0%	0%	0%	0%	9
50%	50%	50%	0%	0%	0%	0%	10
50%	50%	50%	0%	0%	0%	0%	11
50%	50%	50%	0%	0%	0%	0%	12

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample837.0ms (9%)

Memory

37.4MiB live, 1 961.4MiB allocated

Samples

605.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 434.0ms

ival-tan: 198.0ms (45.7% of total)

ival-sub: 66.0ms (15.2% of total)

ival-mult: 57.0ms (13.1% of total)

ival-div: 55.0ms (12.7% of total)

ival-add: 44.0ms (10.1% of total)

ival-true: 6.0ms (1.4% of total)

exact: 5.0ms (1.2% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain109.0ms (1.2%)

Memory

-29.1MiB live, 294.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))`
0	-	-	`(*.f64 (tan.f64 x) (tan.f64 x))`
0	-	-	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(tan.f64 x)`
0	-	-	`(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))`	cancellation	1	1

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	1	254

Precision?

0.5

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

40.0ms

512×

valid

Compiler

Compiled 96 to 25 computations (74% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-tan: 12.0ms (48.1% of total)

ival-mult: 4.0ms (16% of total)

ival-div: 3.0ms (12% of total)

ival-add: 3.0ms (12% of total)

ival-sub: 2.0ms (8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess344.0ms (3.7%)

Memory

38.4MiB live, 392.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 592×	`lower-fma.f64`
10 592×	`lower-fma.f32`
2 342×	`lower--.f32`
2 340×	`lower--.f64`
2 012×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	31	30
2	64	30
3	165	30
4	383	30
5	714	30
6	1303	30
7	1754	30
8	2899	30
9	4148	30
10	5113	30
11	6330	30
12	7186	30
13	7657	30
14	7901	30
15	7971	30
0	7	15
0	12	15
1	23	15
2	34	15
3	53	15
4	92	15
5	155	15
6	254	15
7	565	15
8	1249	15
9	2973	15
10	4326	15
11	5404	15
12	6158	15
13	6507	15
14	6636	15
15	6697	15
16	7563	15
0	8150	14

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))

Outputs

(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))

(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))

Symmetry

(abs x)

Compiler

Compiled 16 to 7 computations (56.3% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))

Compiler

Compiled 16 to 7 computations (56.3% saved)

simplify245.0ms (2.6%)

Memory

-4.5MiB live, 396.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (tan.f64 x) (tan.f64 x))
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
cost-diff	128	(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))

Rules

10 592×	`lower-fma.f64`
10 592×	`lower-fma.f32`
2 342×	`lower--.f32`
2 340×	`lower--.f64`
2 012×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	38
0	12	38
1	23	38
2	34	38
3	53	38
4	92	38
5	155	38
6	254	38
7	565	38
8	1249	38
9	2973	38
10	4326	38
11	5404	38
12	6158	38
13	6507	38
14	6636	38
15	6697	38
16	7563	38
0	8150	36

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
#s(literal 1 binary64)
(*.f64 (tan.f64 x) (tan.f64 x))
(tan.f64 x)
x
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))

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

localize29.0ms (0.3%)

Memory

-11.0MiB live, 67.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
accuracy	0.15625	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
accuracy	0.19104890115728565	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
accuracy	0.27734375	(*.f64 (tan.f64 x) (tan.f64 x))

Samples

20.0ms

256×

valid

Compiler

Compiled 40 to 9 computations (77.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-tan: 7.0ms (49.9% of total)

ival-div: 2.0ms (14.3% of total)

ival-add: 2.0ms (14.3% of total)

ival-mult: 2.0ms (14.3% of total)

ival-sub: 1.0ms (7.1% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) (taylor 0 x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))) (taylor 0 x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor -inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor -inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor -inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor -inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(+ 1 (* (tan x) (tan x)))
1.0ms	x	@	inf	(+ 1 (* (tan x) (tan x)))
1.0ms	x	@	0	(* (tan x) (tan x))
1.0ms	x	@	inf	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
1.0ms	x	@	-inf	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))

simplify235.0ms (2.5%)

Memory

-28.6MiB live, 489.8MiB allocated

Algorithm

1×	egg-herbie

Rules

16 148×	`lower-fma.f64`
16 148×	`lower-fma.f32`
2 936×	`lower-*.f64`
2 936×	`lower-*.f32`
2 512×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	603
1	151	602
2	409	588
3	1153	588
4	2141	588
5	3924	588
6	5296	588
0	8024	567

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (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))

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

rewrite212.0ms (2.3%)

Memory

9.9MiB live, 415.3MiB allocated

Rules

3 320×	`lower-fma.f64`
3 320×	`lower-fma.f32`
2 864×	`lower-*.f32`
2 862×	`lower-*.f64`
2 666×	`lower-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	34
0	12	29
1	51	29
2	359	29
3	5062	17
0	10307	17

Stop Event

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

Counts

4 → 373

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))

Outputs
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.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) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(+.f64 (neg.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) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))))
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(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (*.f64 (tan.f64 x) (sin.f64 x))))
(/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 (-.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)))))
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (cos.f64 x)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x))))
(/.f64 (.f64 (sin.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) (.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (.f64 (.f64 (tan.f64 x) (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
(/.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)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (sin.f64 x))) (cos.f64 x))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (tan.f64 x) (sin.f64 x)))) (cos.f64 x))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x)))) (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (cos.f64 x)))))
(/.f64 (exp.f64 (log.f64 (*.f64 (tan.f64 x) (sin.f64 x)))) (exp.f64 (log.f64 (cos.f64 x))))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (neg.f64 (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.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))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 x) (*.f64 (tan.f64 x) (sin.f64 x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (tan.f64 x)))
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (sin.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (tan.f64 x)))
(.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 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))
(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(.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 (.f64 (tan.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))

eval58.0ms (0.6%)

Memory: 15.9MiB live, 174.3MiB allocated
Compiler: Compiled 13 565 to 1 022 computations (92.5% saved)

prune101.0ms (1.1%)

Memory

-5.3MiB live, 314.0MiB allocated

Pruning

38 alts after pruning (38 fresh and 0 done)

	Pruned	Kept	Total
New	441	38	479
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	442	38	480

Accuracy

99.9%

Counts

480 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.1%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
▶	99.5%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.3%	(/.f64 (fma.f64 (sin.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.3%	(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.3%	(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.2%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.2%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.2%	(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 18 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (pow.f64 (tan.f64 x) #s(literal 12 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.2%	(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.2%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
▶	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	98.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.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)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	98.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.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))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	98.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.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 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)) #s(literal 1 binary64)))
	99.2%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
	99.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
	99.2%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64)))))
	47.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) #s(approx ( (tan x) (tan x)) (.f64 x (fma.f64 (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)) (.f64 x (*.f64 x x)) x)))))
	56.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
▶	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.2%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
▶	99.4%	(/.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	47.0%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
	47.1%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
	47.0%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
	99.3%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan 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)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
▶	51.8%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))

Compiler

Compiled 1 914 to 1 006 computations (47.4% saved)

simplify166.0ms (1.8%)

Memory

-23.8MiB live, 293.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	128	(neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
cost-diff	256	(*.f64 (tan.f64 x) (tan.f64 x))
cost-diff	320	(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))))
cost-diff	384	(/.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
cost-diff	0	(*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x))))
cost-diff	128	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
cost-diff	256	(*.f64 (tan.f64 x) (tan.f64 x))
cost-diff	0	(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
cost-diff	256	(*.f64 (tan.f64 x) (tan.f64 x))
cost-diff	0	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
cost-diff	0	(tan.f64 x)
cost-diff	0	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
cost-diff	256	(*.f64 (tan.f64 x) (tan.f64 x))
cost-diff	256	(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))

Rules

9 474×	`lower-fma.f32`
9 472×	`lower-fma.f64`
2 778×	`lower-*.f32`
2 772×	`lower-*.f64`
1 470×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	305
0	67	289
1	113	281
2	218	281
3	516	281
4	1255	281
5	2874	281
6	4778	281
7	6296	281
0	8133	280

Stop Event

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

Calls

Call 1

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

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

localize128.0ms (1.4%)

Memory

32.5MiB live, 351.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.27734375	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy	0.27734375	(*.f64 (tan.f64 x) (tan.f64 x))
accuracy	0.47937031259014484	(pow.f64 (tan.f64 x) #s(literal 4 binary64))
accuracy	0.6142641597674339	(pow.f64 (tan.f64 x) #s(literal 6 binary64))
accuracy	0.171875	(*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))
accuracy	0.17806625976844204	(/.f64 (tan.f64 x) (cos.f64 x))
accuracy	0.19104890115728565	(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x))))
accuracy	0.27734375	(*.f64 (tan.f64 x) (tan.f64 x))
accuracy	0.15625	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
accuracy	0.19104890115728565	(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64)))
accuracy	0.27734375	(*.f64 (tan.f64 x) (tan.f64 x))
accuracy	0.37861254884221013	(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))
accuracy	30.858931837829513	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
accuracy	0.05078125	(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
accuracy	0.15625	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
accuracy	0.27734375	(*.f64 (tan.f64 x) (tan.f64 x))
accuracy	0.33320200628392377	(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))

Samples

83.0ms

256×

valid

Compiler

Compiled 307 to 38 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-div: 12.0ms (19.1% of total)

ival-pow: 10.0ms (15.9% of total)

ival-add: 7.0ms (11.1% of total)

ival-mult: 7.0ms (11.1% of total)

ival-sin: 6.0ms (9.5% of total)

ival-tan: 6.0ms (9.5% of total)

ival-cos: 5.0ms (7.9% of total)

ival-sub: 4.0ms (6.4% of total)

ival-neg: 2.0ms (3.2% of total)

ival-pow2: 2.0ms (3.2% of total)

exact: 1.0ms (1.6% of total)

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

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

series44.0ms (0.5%)

Memory

-21.8MiB live, 99.5MiB allocated

Counts

19 → 228

Calls

Call 1

Inputs
#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())
#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) (patch #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) (patch (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) #<representation binary64>) () ())
#s(alt (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x))) (patch (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))) (patch (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))) #<representation binary64>) () ())
#s(alt (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (patch (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 x) (cos.f64 x)) (patch (/.f64 (tan.f64 x) (cos.f64 x)) #<representation binary64>) () ())
#s(alt (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 4 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>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))) (taylor 0 x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))) (taylor 0 x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) (taylor 0 x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))) (taylor 0 x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor -inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor -inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor -inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor -inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) #<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>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) (patch #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (/.f64 (tan.f64 x) (cos.f64 x)) (patch (/.f64 (tan.f64 x) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 5/6 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (tan.f64 x) (cos.f64 x)) (patch (/.f64 (tan.f64 x) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f64 (tan.f64 x) (cos.f64 x)) (patch (/.f64 (tan.f64 x) (cos.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 (/.f64 (tan.f64 x) (cos.f64 x)) (patch (/.f64 (tan.f64 x) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow (cos x) 2)) (taylor inf x) (#s(alt (/.f64 (tan.f64 x) (cos.f64 x)) (patch (/.f64 (tan.f64 x) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow (cos x) 2)) (taylor inf x) (#s(alt (/.f64 (tan.f64 x) (cos.f64 x)) (patch (/.f64 (tan.f64 x) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow (cos x) 2)) (taylor inf x) (#s(alt (/.f64 (tan.f64 x) (cos.f64 x)) (patch (/.f64 (tan.f64 x) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow (cos x) 2)) (taylor inf x) (#s(alt (/.f64 (tan.f64 x) (cos.f64 x)) (patch (/.f64 (tan.f64 x) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow (cos x) 2)) (taylor -inf x) (#s(alt (/.f64 (tan.f64 x) (cos.f64 x)) (patch (/.f64 (tan.f64 x) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow (cos x) 2)) (taylor -inf x) (#s(alt (/.f64 (tan.f64 x) (cos.f64 x)) (patch (/.f64 (tan.f64 x) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow (cos x) 2)) (taylor -inf x) (#s(alt (/.f64 (tan.f64 x) (cos.f64 x)) (patch (/.f64 (tan.f64 x) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow (cos x) 2)) (taylor -inf x) (#s(alt (/.f64 (tan.f64 x) (cos.f64 x)) (patch (/.f64 (tan.f64 x) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow x 6) (taylor 0 x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1 (* 2 (pow x 2)))) (taylor 0 x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1 (* (pow x 2) (+ 2 (* 37/15 (pow x 2)))))) (taylor 0 x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1 (* (pow x 2) (+ 2 (* (pow x 2) (+ 37/15 (* 2266/945 (pow x 2)))))))) (taylor 0 x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 6) (pow (cos x) 6)) (taylor inf x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 6) (pow (cos x) 6)) (taylor inf x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 6) (pow (cos x) 6)) (taylor inf x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 6) (pow (cos x) 6)) (taylor inf x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 6) (pow (cos x) 6)) (taylor -inf x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 6) (pow (cos x) 6)) (taylor -inf x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 6) (pow (cos x) 6)) (taylor -inf x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 6) (pow (cos x) 6)) (taylor -inf x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (* 4/3 (pow x 2)))) (taylor 0 x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2)))))) (taylor 0 x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2)))))))) (taylor 0 x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 4) (pow (cos x) 4)) (taylor inf x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 4) (pow (cos x) 4)) (taylor inf x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 4) (pow (cos x) 4)) (taylor inf x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 4) (pow (cos x) 4)) (taylor inf x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 4) (pow (cos x) 4)) (taylor -inf x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 4) (pow (cos x) 4)) (taylor -inf x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 4) (pow (cos x) 4)) (taylor -inf x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 4) (pow (cos x) 4)) (taylor -inf x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#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 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) (taylor 0 x) (#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 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) (taylor 0 x) (#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 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))) (taylor 0 x) (#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 (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor inf x) (#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 (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor inf x) (#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 (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor inf x) (#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 (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor inf x) (#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 (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor -inf x) (#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 (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor -inf x) (#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 (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor -inf x) (#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 (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor -inf x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())

Calls

57 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(/ (* (+ (pow (tan x) 6) -1) (/ 1 (neg (+ 1 (+ (pow (tan x) 2) (pow (tan x) 4)))))) (+ 1 (* (tan x) (tan x))))
3.0ms	x	@	-inf	(/ (* (+ (pow (tan x) 6) -1) (/ 1 (neg (+ 1 (+ (pow (tan x) 2) (pow (tan x) 4)))))) (+ 1 (* (tan x) (tan x))))
2.0ms	x	@	inf	(pow (tan x) 2)
2.0ms	x	@	inf	(/ (+ (* (tan x) (neg (tan x))) 1) (+ 1 (* (tan x) (tan x))))
1.0ms	x	@	inf	(* (+ (pow (tan x) 6) -1) (/ 1 (neg (+ 1 (+ (pow (tan x) 2) (pow (tan x) 4))))))

simplify233.0ms (2.5%)

Memory

7.6MiB live, 481.5MiB allocated

Algorithm

1×	egg-herbie

Rules

15 120×	`lower-fma.f64`
15 120×	`lower-fma.f32`
4 588×	`lower-+.f64`
4 588×	`lower-+.f32`
3 588×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	3281
1	483	3277
2	1386	3212
3	3018	3212
4	6305	3206
0	8141	3097

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 226

Calls

Call 1

Inputs
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (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))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 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
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (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))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (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))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* -1 (/ (- (/ (pow (sin x) 6) (pow (cos x) 6)) 1) (* (+ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* -1 (/ (- (/ (pow (sin x) 6) (pow (cos x) 6)) 1) (* (+ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* -1 (/ (- (/ (pow (sin x) 6) (pow (cos x) 6)) 1) (* (+ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* -1 (/ (- (/ (pow (sin x) 6) (pow (cos x) 6)) 1) (* (+ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* -1 (/ (- (/ (pow (sin x) 6) (pow (cos x) 6)) 1) (* (+ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* -1 (/ (- (/ (pow (sin x) 6) (pow (cos x) 6)) 1) (* (+ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* -1 (/ (- (/ (pow (sin x) 6) (pow (cos x) 6)) 1) (* (+ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* -1 (/ (- (/ (pow (sin x) 6) (pow (cos x) 6)) 1) (* (+ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(* -1 (/ (- (/ (pow (sin x) 6) (pow (cos x) 6)) 1) (+ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))))
(* -1 (/ (- (/ (pow (sin x) 6) (pow (cos x) 6)) 1) (+ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))))
(* -1 (/ (- (/ (pow (sin x) 6) (pow (cos x) 6)) 1) (+ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))))
(* -1 (/ (- (/ (pow (sin x) 6) (pow (cos x) 6)) 1) (+ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))))
(* -1 (/ (- (/ (pow (sin x) 6) (pow (cos x) 6)) 1) (+ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))))
(* -1 (/ (- (/ (pow (sin x) 6) (pow (cos x) 6)) 1) (+ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))))
(* -1 (/ (- (/ (pow (sin x) 6) (pow (cos x) 6)) 1) (+ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))))
(* -1 (/ (- (/ (pow (sin x) 6) (pow (cos x) 6)) 1) (+ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))))
-1
(- (* -1 (pow x 2)) 1)
(- (* (pow x 2) (- (* -5/3 (pow x 2)) 1)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -77/45 (pow x 2)) 5/3)) 1)) 1)
(* -1 (+ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))))
(* -1 (+ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))))
(* -1 (+ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))))
(* -1 (+ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))))
(* -1 (+ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))))
(* -1 (+ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))))
(* -1 (+ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))))
(* -1 (+ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (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) (pow (cos x) 2))
(/ (sin x) (pow (cos x) 2))
(/ (sin x) (pow (cos x) 2))
(/ (sin x) (pow (cos x) 2))
(/ (sin x) (pow (cos x) 2))
(/ (sin x) (pow (cos x) 2))
(/ (sin x) (pow (cos x) 2))
(/ (sin x) (pow (cos x) 2))
(pow x 6)
(* (pow x 6) (+ 1 (* 2 (pow x 2))))
(* (pow x 6) (+ 1 (* (pow x 2) (+ 2 (* 37/15 (pow x 2))))))
(* (pow x 6) (+ 1 (* (pow x 2) (+ 2 (* (pow x 2) (+ 37/15 (* 2266/945 (pow x 2))))))))
(/ (pow (sin x) 6) (pow (cos x) 6))
(/ (pow (sin x) 6) (pow (cos x) 6))
(/ (pow (sin x) 6) (pow (cos x) 6))
(/ (pow (sin x) 6) (pow (cos x) 6))
(/ (pow (sin x) 6) (pow (cos x) 6))
(/ (pow (sin x) 6) (pow (cos x) 6))
(/ (pow (sin x) 6) (pow (cos x) 6))
(/ (pow (sin x) 6) (pow (cos x) 6))
(pow x 4)
(* (pow x 4) (+ 1 (* 4/3 (pow x 2))))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(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))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -2/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(fma.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))) #s(literal 1 binary64))
(+ 1 (* -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 (* -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 (* -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 (* -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 (* -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 (* -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 (* -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 (* -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))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 2/3 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow 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)))
(/ (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)))
(/ (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)))
(/ (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)))
(/ (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)))
(/ (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)))
(/ (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)))
(/ (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)))
(/ (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)))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 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 (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 (.f64 x 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))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.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))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.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))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
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#s(literal 1 binary64)
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(pow x 2)
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#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
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(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
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(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
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(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
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#s(literal 1 binary64)
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(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
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(/ (pow (sin x) 6) (pow (cos x) 6))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))
(/ (pow (sin x) 6) (pow (cos x) 6))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))
(/ (pow (sin x) 6) (pow (cos x) 6))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(* (pow x 4) (+ 1 (* 4/3 (pow x 2))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) #s(literal 1 binary64)))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 6/5 binary64) #s(literal 4/3 binary64)) #s(literal 1 binary64)))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 848/945 binary64) #s(literal 6/5 binary64))) #s(literal 4/3 binary64))) #s(literal 1 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 2/3 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow 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)))
(/ (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)))
(/ (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)))
(/ (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)))
(/ (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)))
(/ (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)))
(/ (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)))
(/ (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)))
(/ (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)))

rewrite276.0ms (3%)

Memory

8.8MiB live, 644.9MiB allocated

Rules

5 114×	`lower-/.f32`
5 104×	`lower-/.f64`
4 254×	`lower-*.f32`
4 248×	`lower-*.f64`
3 684×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	198
0	67	166
1	263	163
2	1978	163
0	8936	163

Stop Event

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

Counts

19 → 1 217

Calls

Call 1

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

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

eval351.0ms (3.8%)

Memory: 29.0MiB live, 967.9MiB allocated
Compiler: Compiled 69 391 to 5 147 computations (92.6% saved)

prune294.0ms (3.2%)

Memory

1.0MiB live, 924.9MiB allocated

Pruning

39 alts after pruning (38 fresh and 1 done)

	Pruned	Kept	Total
New	2 405	27	2 432
Fresh	22	11	33
Picked	4	1	5
Done	0	0	0
Total	2 431	39	2 470

Accuracy

100.0%

Counts

2 470 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
	99.3%	(/.f64 (fma.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
▶	99.3%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
▶	99.5%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.5%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	99.4%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
	47.7%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (fma.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)) (.f64 x (*.f64 x x)) x)))))
	47.8%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (.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))))))
	56.3%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
	99.3%	(/.f64 (fma.f64 (sin.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
▶	99.4%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.2%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.2%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))))
	99.2%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (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)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
	56.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
	99.2%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
▶	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	98.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.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)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	98.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.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))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	98.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.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 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
	99.2%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))
	56.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	56.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
	99.2%	(/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	99.2%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	99.2%	(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	47.0%	#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
▶	47.0%	#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
	47.1%	#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))
✓	51.8%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))

Compiler

Compiled 1 643 to 904 computations (45% saved)

simplify159.0ms (1.7%)

Memory

-22.6MiB live, 295.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(tan.f64 x)
cost-diff	0	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
cost-diff	128	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
cost-diff	256	(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
cost-diff	256	(*.f64 (tan.f64 x) (tan.f64 x))
cost-diff	1408	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
cost-diff	0	(tan.f64 x)
cost-diff	0	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
cost-diff	0	(tan.f64 x)
cost-diff	0	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
cost-diff	128	(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
cost-diff	256	(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))

Rules

7 342×	`lower-fma.f32`
7 334×	`lower-fma.f64`
2 796×	`lower-*.f32`
2 788×	`lower-*.f64`
1 450×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	256
0	70	240
1	113	240
2	171	240
3	328	240
4	796	240
5	1812	240
6	3679	240
7	6539	240
0	8315	237

Stop Event

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

Calls

Call 1

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

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

localize213.0ms (2.3%)

Memory

13.5MiB live, 543.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.15625	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
accuracy	0.32259750976844204	(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))
accuracy	0.3332020062839238	(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
accuracy	13.345264065269841	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
accuracy	0.16796875	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
accuracy	0.19104890115728565	(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
accuracy	0.27734375	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy	0.27734375	(*.f64 (tan.f64 x) (tan.f64 x))
accuracy	0.05078125	(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
accuracy	0.15625	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
accuracy	0.19104890115728565	(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
accuracy	0.27734375	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy	0	(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
accuracy	0	(*.f64 x x)
accuracy	33.934018843149616	#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
accuracy	0	(neg.f64 (tan.f64 x))
accuracy	0.15625	(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
accuracy	0.15625	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
accuracy	0.3332020062839238	(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))

Samples

74.0ms	80×	2	valid
53.0ms	142×	0	valid
20.0ms	34×	1	valid

Compiler

Compiled 260 to 41 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-cos: 25.0ms (21.8% of total)

ival-div: 20.0ms (17.4% of total)

adjust: 15.0ms (13.1% of total)

ival-mult: 15.0ms (13.1% of total)

ival-add: 12.0ms (10.4% of total)

ival-sub: 7.0ms (6.1% of total)

ival-tan: 7.0ms (6.1% of total)

ival-pow2: 7.0ms (6.1% of total)

ival-pow: 4.0ms (3.5% of total)

ival-neg: 2.0ms (1.7% of total)

exact: 1.0ms (0.9% of total)

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

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

series28.0ms (0.3%)

Memory

-7.8MiB live, 70.1MiB allocated

Counts

20 → 240

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))) (taylor 0 x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))) (taylor 0 x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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Calls

60 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(* x x)
3.0ms	x	@	inf	(/ (+ (* (tan x) (neg (tan x))) 1) (+ (* (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (/ 1 (cos x)) 2)) 1))
2.0ms	x	@	-inf	(/ (+ (* (tan x) (neg (tan x))) 1) (+ (* (- 1/2 (* 1/2 (cos (* 2 x)))) (pow (/ 1 (cos x)) 2)) 1))
1.0ms	x	@	inf	(/ (/ -1 (/ 1 (+ (pow (tan x) 2) -1))) (+ 1 (* (tan x) (tan x))))
1.0ms	x	@	-inf	(/ (/ -1 (/ 1 (+ (pow (tan x) 2) -1))) (+ 1 (* (tan x) (tan x))))

simplify279.0ms (3%)

Memory

-11.3MiB live, 548.2MiB allocated

Algorithm

1×	egg-herbie

Rules

16 790×	`lower-fma.f64`
16 790×	`lower-fma.f32`
5 970×	`lower-*.f64`
5 970×	`lower-*.f32`
3 038×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	2841
1	392	2838
2	1039	2775
3	3261	2743
4	4581	2735
5	6187	2735
0	8217	2617

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 239

Calls

Call 1

Inputs
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 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
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* -2 (pow x 2)))
(+ 1 (* -2 (pow x 2)))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (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))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(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))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
-1
(- (* -1 (pow x 2)) 1)
(- (* (pow x 2) (- (* -5/3 (pow x 2)) 1)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -122/45 (pow x 2)) 5/3)) 1)) 1)
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (+ 1 (* 1/2 (/ 1 (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (pow (cos x) 2)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (+ 1 (* 1/2 (/ 1 (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (pow (cos x) 2)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (+ 1 (* 1/2 (/ 1 (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (pow (cos x) 2)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (+ 1 (* 1/2 (/ 1 (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (pow (cos x) 2)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (+ 1 (* 1/2 (/ 1 (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (pow (cos x) 2)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (+ 1 (* 1/2 (/ 1 (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (pow (cos x) 2)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (+ 1 (* 1/2 (/ 1 (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (pow (cos x) 2)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (+ 1 (* 1/2 (/ 1 (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (pow (cos x) 2)))))
(* -1 x)
(* x (- (* -1/3 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
-1
(- (pow x 2) 1)
(- (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(/ 1 (pow (cos x) 2))
(/ 1 (pow (cos x) 2))
(/ 1 (pow (cos x) 2))
(/ 1 (pow (cos x) 2))
(/ 1 (pow (cos x) 2))
(/ 1 (pow (cos x) 2))
(/ 1 (pow (cos x) 2))
(/ 1 (pow (cos x) 2))

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

rewrite255.0ms (2.7%)

Memory

37.7MiB live, 631.8MiB allocated

Rules

5 360×	`lower-fma.f32`
5 352×	`lower-fma.f64`
2 856×	`lower-*.f32`
2 848×	`lower-*.f64`
2 468×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	178
0	70	154
1	287	146
2	2024	146
0	8750	146

Stop Event

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

Counts

20 → 1 700

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.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) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.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) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (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)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
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(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (neg.f64 (log.f64 (cos.f64 x)))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (neg.f64 (log.f64 (cos.f64 x))) (neg.f64 (log.f64 (cos.f64 x)))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (cos.f64 x)))
(neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x))))
(/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))) (cos.f64 x))
(pow.f64 (cos.f64 x) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (cos.f64 x))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 x)))
(*.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))

eval667.0ms (7.2%)

Memory: -34.3MiB live, 1 070.0MiB allocated
Compiler: Compiled 75 969 to 4 684 computations (93.8% saved)

prune431.0ms (4.7%)

Memory

-6.6MiB live, 1 248.2MiB allocated

Pruning

57 alts after pruning (53 fresh and 4 done)

	Pruned	Kept	Total
New	2 730	36	2 766
Fresh	16	17	33
Picked	2	3	5
Done	0	1	1
Total	2 748	57	2 805

Accuracy

100.0%

Counts

2 805 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
	98.9%	(/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	98.9%	(/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	99.3%	(/.f64 (fma.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	99.3%	(/.f64 (fma.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
▶	99.3%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
	58.8%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(approx (pow (/ 1 (cos x)) 2) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	99.5%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	47.7%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) #s(approx (tan x) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 17/315 binary64)) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)) #s(literal 1 binary64)))
▶	99.5%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
	56.3%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
	47.0%	(/.f64 (fma.f64 (tan.f64 x) #s(approx (neg (tan x)) (.f64 x (fma.f64 (.f64 x x) (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)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
▶	99.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	98.8%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	98.8%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64))))))
	98.8%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
	99.2%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.2%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.2%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))))
	99.2%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (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)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	56.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
	99.2%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.2%	(/.f64 (-.f64 #s(literal 1 binary64) (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)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
	75.0%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
✓	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	47.8%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 17/315 binary64)) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)) #s(literal 2 binary64))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))
	47.8%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (.f64 x (fma.f64 (.f64 x x) (.f64 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))) x)))))
	56.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(approx (+ 1 (pow (tan x) 2)) #s(literal 1 binary64)))
	98.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	99.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
▶	56.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
	99.2%	(/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (+.f64 (tan.f64 x) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	99.2%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	47.1%	#s(approx (/ (/ -1 (/ 1 (+ (pow (tan x) 2) -1))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
	47.0%	#s(approx (/ (/ -1 (/ 1 (+ (pow (tan x) 2) -1))) (+ 1 (* (tan x) (tan x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))
✓	47.0%	#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
	47.0%	#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))
	46.1%	#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))))))
	46.4%	#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))
	46.4%	#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)))))))
	47.0%	#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))))
	46.4%	#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))))
▶	2.5%	#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
✓	51.8%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))

Compiler

Compiled 2 380 to 1 360 computations (42.9% saved)

simplify159.0ms (1.7%)

Memory

-7.6MiB live, 310.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 (tan.f64 x))
cost-diff	0	(tan.f64 x)
cost-diff	0	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
cost-diff	256	(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
cost-diff	0	(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
cost-diff	0	(sin.f64 x)
cost-diff	0	(*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x))))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal -2 binary64))
cost-diff	0	#s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))
cost-diff	0	#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
cost-diff	0	(neg.f64 (tan.f64 x))
cost-diff	0	(tan.f64 x)
cost-diff	0	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
cost-diff	256	(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))

Rules

6 022×	`lower-fma.f32`
6 016×	`lower-fma.f64`
2 738×	`lower-*.f32`
2 732×	`lower-*.f64`
1 954×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	291
0	76	282
1	122	276
2	194	276
3	386	276
4	817	276
5	1749	276
6	4555	276
0	8125	274

Stop Event

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

Calls

Call 1

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

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

localize244.0ms (2.6%)

Memory

15.4MiB live, 617.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.15625	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
accuracy	0.32259750976844204	(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))
accuracy	0.3332020062839238	(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
accuracy	13.345264065269841	(fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
accuracy	0.15625	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
accuracy	0.16796875	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
accuracy	0.19104890115728565	(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
accuracy	0.27734375	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy	0.171875	(*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))
accuracy	0.17806625976844204	(/.f64 (tan.f64 x) (cos.f64 x))
accuracy	0.19104890115728565	(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x))))
accuracy	27.805822856852227	#s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64))
accuracy	0	(.f64 (.f64 x x) #s(literal -2 binary64))
accuracy	0	(*.f64 x x)
accuracy	28.92132335953079	#s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))
accuracy	33.934018843149616	#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
accuracy	0.05078125	(-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
accuracy	0.15625	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
accuracy	0.27734375	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy	0.3332020062839238	(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))

Samples

82.0ms	80×	2	valid
66.0ms	142×	0	valid
26.0ms	34×	1	valid

Compiler

Compiled 278 to 45 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-div: 26.0ms (18.6% of total)

ival-cos: 26.0ms (18.6% of total)

adjust: 21.0ms (15% of total)

ival-mult: 17.0ms (12.1% of total)

ival-add: 13.0ms (9.3% of total)

ival-pow2: 9.0ms (6.4% of total)

ival-sin: 8.0ms (5.7% of total)

ival-sub: 7.0ms (5% of total)

ival-tan: 7.0ms (5% of total)

ival-pow: 4.0ms (2.9% of total)

ival-neg: 2.0ms (1.4% of total)

exact: 1.0ms (0.7% of total)

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

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

series21.0ms (0.2%)

Memory

12.4MiB live, 50.9MiB allocated

Counts

23 → 276

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))) (taylor 0 x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))) (taylor 0 x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #<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>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 (tan.f64 x)) (patch (neg.f64 (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -1/3 (pow x 2)) 1)) (taylor 0 x) (#s(alt (neg.f64 (tan.f64 x)) (patch (neg.f64 (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1)) (taylor 0 x) (#s(alt (neg.f64 (tan.f64 x)) (patch (neg.f64 (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1)) (taylor 0 x) (#s(alt (neg.f64 (tan.f64 x)) (patch (neg.f64 (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin x) (cos x))) (taylor inf x) (#s(alt (neg.f64 (tan.f64 x)) (patch (neg.f64 (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin x) (cos x))) (taylor inf x) (#s(alt (neg.f64 (tan.f64 x)) (patch (neg.f64 (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin x) (cos x))) (taylor inf x) (#s(alt (neg.f64 (tan.f64 x)) (patch (neg.f64 (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin x) (cos x))) (taylor inf x) (#s(alt (neg.f64 (tan.f64 x)) (patch (neg.f64 (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin x) (cos x))) (taylor -inf x) (#s(alt (neg.f64 (tan.f64 x)) (patch (neg.f64 (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin x) (cos x))) (taylor -inf x) (#s(alt (neg.f64 (tan.f64 x)) (patch (neg.f64 (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin x) (cos x))) (taylor -inf x) (#s(alt (neg.f64 (tan.f64 x)) (patch (neg.f64 (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin x) (cos x))) (taylor -inf x) (#s(alt (neg.f64 (tan.f64 x)) (patch (neg.f64 (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) (patch #s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) (patch #s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) (patch #s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt #s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) (patch #s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt #s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) (patch #s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt #s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) (patch #s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt #s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) (patch #s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (/.f64 (tan.f64 x) (cos.f64 x)) (patch (/.f64 (tan.f64 x) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 5/6 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (tan.f64 x) (cos.f64 x)) (patch (/.f64 (tan.f64 x) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f64 (tan.f64 x) (cos.f64 x)) (patch (/.f64 (tan.f64 x) (cos.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 (/.f64 (tan.f64 x) (cos.f64 x)) (patch (/.f64 (tan.f64 x) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow (cos x) 2)) (taylor inf x) (#s(alt (/.f64 (tan.f64 x) (cos.f64 x)) (patch (/.f64 (tan.f64 x) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow (cos x) 2)) (taylor inf x) (#s(alt (/.f64 (tan.f64 x) (cos.f64 x)) (patch (/.f64 (tan.f64 x) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow (cos x) 2)) (taylor inf x) (#s(alt (/.f64 (tan.f64 x) (cos.f64 x)) (patch (/.f64 (tan.f64 x) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow (cos x) 2)) (taylor inf x) (#s(alt (/.f64 (tan.f64 x) (cos.f64 x)) (patch (/.f64 (tan.f64 x) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow (cos x) 2)) (taylor -inf x) (#s(alt (/.f64 (tan.f64 x) (cos.f64 x)) (patch (/.f64 (tan.f64 x) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow (cos x) 2)) (taylor -inf x) (#s(alt (/.f64 (tan.f64 x) (cos.f64 x)) (patch (/.f64 (tan.f64 x) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow (cos x) 2)) (taylor -inf x) (#s(alt (/.f64 (tan.f64 x) (cos.f64 x)) (patch (/.f64 (tan.f64 x) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow (cos x) 2)) (taylor -inf x) (#s(alt (/.f64 (tan.f64 x) (cos.f64 x)) (patch (/.f64 (tan.f64 x) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (cos (* 2 x)))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (cos (* 2 x)))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (cos (* 2 x)))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (cos (* 2 x)))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))) (taylor 0 x) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))) (taylor 0 x) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (cos x) 2)) (taylor inf x) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (cos x) 2)) (taylor inf x) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (cos x) 2)) (taylor inf x) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (cos x) 2)) (taylor inf x) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (cos x) 2)) (taylor -inf x) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (cos x) 2)) (taylor -inf x) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (cos x) 2)) (taylor -inf x) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (cos x) 2)) (taylor -inf x) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())

Calls

69 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(/ (+ (* (tan x) (neg (tan x))) 1) (+ (* (+ (* (cos (+ x x)) -1/2) 1/2) (pow (/ 1 (cos x)) 2)) 1))
2.0ms	x	@	-inf	(/ (+ (* (tan x) (neg (tan x))) 1) (+ (* (+ (* (cos (+ x x)) -1/2) 1/2) (pow (/ 1 (cos x)) 2)) 1))
1.0ms	x	@	inf	(/ -1 (+ (pow (tan x) 2) -1))
1.0ms	x	@	-inf	(/ -1 (+ (pow (tan x) 2) -1))
0.0ms	x	@	inf	(* (* x x) -2)

simplify248.0ms (2.7%)

Memory

-4.3MiB live, 507.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 910×	`lower-fma.f64`
12 910×	`lower-fma.f32`
4 192×	`lower-*.f64`
4 192×	`lower-*.f32`
3 902×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	203	3064
1	531	3061
2	1392	3005
3	2640	3005
4	4781	3005
5	5865	2998
0	8312	2859

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 273

Calls

Call 1

Inputs
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 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 x)
(* x (- (* -1/3 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* -2 (pow x 2)))
(+ 1 (* -2 (pow x 2)))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (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))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 5/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* 122/45 (pow x 2)))))))
(/ -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/ -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/ -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/ -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/ -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/ -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/ -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/ -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
-1
(- (pow x 2) 1)
(- (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (+ (* -1/2 (/ (cos (* 2 x)) (pow (cos x) 2))) (* 1/2 (/ 1 (pow (cos x) 2))))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (+ (* -1/2 (/ (cos (* 2 x)) (pow (cos x) 2))) (* 1/2 (/ 1 (pow (cos x) 2))))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (+ (* -1/2 (/ (cos (* 2 x)) (pow (cos x) 2))) (* 1/2 (/ 1 (pow (cos x) 2))))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (+ (* -1/2 (/ (cos (* 2 x)) (pow (cos x) 2))) (* 1/2 (/ 1 (pow (cos x) 2))))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (+ (* -1/2 (/ (cos (neg (* -2 x))) (pow (cos x) 2))) (* 1/2 (/ 1 (pow (cos x) 2))))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (+ (* -1/2 (/ (cos (neg (* -2 x))) (pow (cos x) 2))) (* 1/2 (/ 1 (pow (cos x) 2))))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (+ (* -1/2 (/ (cos (neg (* -2 x))) (pow (cos x) 2))) (* 1/2 (/ 1 (pow (cos x) 2))))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (+ (* -1/2 (/ (cos (neg (* -2 x))) (pow (cos x) 2))) (* 1/2 (/ 1 (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))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (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) (pow (cos x) 2))
(/ (sin x) (pow (cos x) 2))
(/ (sin x) (pow (cos x) 2))
(/ (sin x) (pow (cos x) 2))
(/ (sin x) (pow (cos x) 2))
(/ (sin x) (pow (cos x) 2))
(/ (sin x) (pow (cos x) 2))
(/ (sin x) (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))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(/ 1 (pow (cos x) 2))
(/ 1 (pow (cos x) 2))
(/ 1 (pow (cos x) 2))
(/ 1 (pow (cos x) 2))
(/ 1 (pow (cos x) 2))
(/ 1 (pow (cos x) 2))
(/ 1 (pow (cos x) 2))
(/ 1 (pow (cos x) 2))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -2/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -17/45 binary64) #s(literal -2/3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* -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 (* -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 (* -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 (* -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 (* -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 (* -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 (* -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 (* -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
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) 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))
(* -1 x)
(neg.f64 x)
(* x (- (* -1/3 (pow x 2)) 1))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64))) #s(literal -1 binary64)))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1))
(.f64 x (fma.f64 (.f64 x x) (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)) #s(literal -1 binary64)))
(* -1 (/ (sin x) (cos x)))
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(* -1 (/ (sin x) (cos x)))
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(* -1 (/ (sin x) (cos x)))
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(* -1 (/ (sin x) (cos x)))
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(* -1 (/ (sin x) (cos x)))
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(* -1 (/ (sin x) (cos x)))
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(* -1 (/ (sin x) (cos x)))
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(* -1 (/ (sin x) (cos x)))
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.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))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.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))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.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))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.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))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.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))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.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))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.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))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* -2 (pow x 2)))
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(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(+.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 (sin x) 2) (pow (cos x) 2)) 1)
(+.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 (sin x) 2) (pow (cos x) 2)) 1)
(+.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 (sin x) 2) (pow (cos x) 2)) 1)
(+.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 (sin x) 2) (pow (cos x) 2)) 1)
(+.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 (sin x) 2) (pow (cos x) 2)) 1)
(+.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 (sin x) 2) (pow (cos x) 2)) 1)
(+.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 (sin x) 2) (pow (cos x) 2)) 1)
(+.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
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (+ (* -1/2 (/ (cos (* 2 x)) (pow (cos x) 2))) (* 1/2 (/ 1 (pow (cos x) 2))))))
(/.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 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (+ (* -1/2 (/ (cos (* 2 x)) (pow (cos x) 2))) (* 1/2 (/ 1 (pow (cos x) 2))))))
(/.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 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (+ (* -1/2 (/ (cos (* 2 x)) (pow (cos x) 2))) (* 1/2 (/ 1 (pow (cos x) 2))))))
(/.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 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (+ (* -1/2 (/ (cos (* 2 x)) (pow (cos x) 2))) (* 1/2 (/ 1 (pow (cos x) 2))))))
(/.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 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (+ (* -1/2 (/ (cos (neg (* -2 x))) (pow (cos x) 2))) (* 1/2 (/ 1 (pow (cos x) 2))))))
(/.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 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (+ (* -1/2 (/ (cos (neg (* -2 x))) (pow (cos x) 2))) (* 1/2 (/ 1 (pow (cos x) 2))))))
(/.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 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (+ (* -1/2 (/ (cos (neg (* -2 x))) (pow (cos x) 2))) (* 1/2 (/ 1 (pow (cos x) 2))))))
(/.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 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (+ (* -1/2 (/ (cos (neg (* -2 x))) (pow (cos x) 2))) (* 1/2 (/ 1 (pow (cos x) 2))))))
(/.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 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 2/3 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 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)))
(/ (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)))
(/ (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)))
(/ (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)))
(/ (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)))
(/ (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)))
(/ (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)))
(/ (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)))
(/ (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)))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 2/3 binary64)) x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) #s(literal 1 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 (/ (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 (/ (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 (/ (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 (/ (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 (/ (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 (/ (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 (/ (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
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 2/3 binary64)) x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) #s(literal 1 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 (/ (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 (/ (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 (/ (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 (/ (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 (/ (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 (/ (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 (/ (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))))
x
(* x (+ 1 (* 5/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 5/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) (.f64 x (*.f64 x 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 (cos x) 2))
(/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (sin x) (pow (cos x) 2))
(/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (sin x) (pow (cos x) 2))
(/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (sin x) (pow (cos x) 2))
(/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (sin x) (pow (cos x) 2))
(/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (sin x) (pow (cos x) 2))
(/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (sin x) (pow (cos x) 2))
(/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (sin x) (pow (cos x) 2))
(/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/315 binary64)) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 2/3 binary64)) x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/ 1 (pow (cos x) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ 1 (pow (cos x) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ 1 (pow (cos x) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ 1 (pow (cos x) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ 1 (pow (cos x) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ 1 (pow (cos x) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ 1 (pow (cos x) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ 1 (pow (cos x) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))

rewrite286.0ms (3.1%)

Memory

-6.6MiB live, 651.6MiB allocated

Rules

4 234×	`lower-fma.f32`
4 228×	`lower-fma.f64`
3 406×	`lower-/.f32`
3 392×	`lower-/.f64`
2 982×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	218
0	76	211
1	309	186
2	2353	186
0	9111	184

Stop Event

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

Counts

23 → 1 252

Calls

Call 1

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

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

eval302.0ms (3.3%)

Memory: 15.7MiB live, 846.6MiB allocated
Compiler: Compiled 52 221 to 4 093 computations (92.2% saved)

prune349.0ms (3.8%)

Memory

-17.0MiB live, 1 119.8MiB allocated

Pruning

59 alts after pruning (51 fresh and 8 done)

	Pruned	Kept	Total
New	2 098	22	2 120
Fresh	19	29	48
Picked	1	4	5
Done	0	4	4
Total	2 118	59	2 177

Accuracy

100.0%

Counts

2 177 → 59

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(fma.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
	99.2%	(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
	98.9%	(/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	98.9%	(/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	99.3%	(/.f64 (fma.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	99.3%	(/.f64 (fma.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
	56.3%	(/.f64 (fma.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
	99.4%	(/.f64 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
	58.8%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(approx (pow (/ 1 (cos x)) 2) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	99.5%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	47.7%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) #s(approx (tan x) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 17/315 binary64)) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)) #s(literal 1 binary64)))
	99.5%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
	99.5%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal 2 binary64)) #s(literal -1 binary64)))
✓	99.5%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
	56.3%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64)))
	47.0%	(/.f64 (fma.f64 (tan.f64 x) #s(approx (neg (tan x)) (.f64 x (fma.f64 (.f64 x x) (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)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
	99.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
✓	99.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	99.2%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	98.8%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	98.8%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64))))))
	98.8%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
	56.3%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
	99.2%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.2%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))))
	99.2%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (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)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	56.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
	99.2%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.2%	(/.f64 (-.f64 #s(literal 1 binary64) (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)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
	75.0%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
✓	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	47.8%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 17/315 binary64)) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)) #s(literal 2 binary64))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))
	47.8%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (.f64 x (fma.f64 (.f64 x x) (.f64 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))) x)))))
	56.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(approx (+ 1 (pow (tan x) 2)) #s(literal 1 binary64)))
	98.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	56.3%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.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)))))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
	56.3%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
	56.3%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
	56.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.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))))))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
✓	56.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
	51.3%	(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
	46.6%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (sin x) (/ (tan x) (cos x))) (.f64 x x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
	99.2%	(/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (+.f64 (tan.f64 x) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	99.3%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	99.2%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	98.8%	(.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.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)))))
	47.0%	#s(approx (/ (/ 1 (/ -1 (+ (pow (tan x) 2) -1))) (+ 1 (pow (tan x) 2))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
	47.1%	#s(approx (/ (/ 1 (/ -1 (+ (pow (tan x) 2) -1))) (+ 1 (pow (tan x) 2))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
✓	47.0%	#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
✓	2.5%	#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
✓	51.8%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))

Compiler

Compiled 3 837 to 1 117 computations (70.9% saved)

regimes137.0ms (1.5%)

Memory

-13.5MiB live, 384.4MiB allocated

Counts

124 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (sin x) (/ (tan x) (cos x))) (.f64 x x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
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(/.f64 (fma.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (sin.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan 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)))) (+.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 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (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)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (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)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 18 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (pow.f64 (tan.f64 x) #s(literal 12 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))

Outputs
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))

Calls

4 calls:

33.0ms	(tan.f64 x)
33.0ms	x
32.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
32.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`
99.5%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
99.5%	1	`(tan.f64 x)`

Compiler

Compiled 27 to 13 computations (51.9% saved)

regimes59.0ms (0.6%)

Memory

9.9MiB live, 169.4MiB allocated

Counts

50 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (sin x) (/ (tan x) (cos x))) (.f64 x x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ -1 (/ 1 (+ (pow (tan x) 2) -1))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (/ 1 (/ -1 (+ (pow (tan x) 2) -1))) (+ 1 (pow (tan x) 2))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (/ -1 (/ 1 (+ (pow (tan x) 2) -1))) (+ 1 (* (tan x) (tan x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ 1 (/ -1 (+ (pow (tan x) 2) -1))) (+ 1 (pow (tan x) 2))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)))))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(approx (+ 1 (pow (tan x) 2)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.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)))))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.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))))))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (.f64 x (fma.f64 (.f64 x x) (.f64 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))) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) #s(approx ( (tan x) (tan x)) (.f64 x (fma.f64 (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)) (.f64 x (*.f64 x x)) x)))))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (.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))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(approx (pow (/ 1 (cos x)) 2) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(approx (pow (/ 1 (cos x)) 2) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 17/315 binary64)) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (tan.f64 x) #s(approx (neg (tan x)) (.f64 x (fma.f64 (.f64 x x) (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)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) #s(approx (neg (tan x)) (.f64 x (fma.f64 (.f64 x x) (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)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) #s(approx (tan x) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 17/315 binary64)) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (fma.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)) (.f64 x (*.f64 x x)) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.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) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))

Outputs
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))

Calls

4 calls:

15.0ms	(tan.f64 x)
14.0ms	x
14.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
13.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`
99.5%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
99.5%	1	`(tan.f64 x)`

Compiler

Compiled 27 to 13 computations (51.9% saved)

regimes56.0ms (0.6%)

Memory

-3.5MiB live, 157.1MiB allocated

Counts

46 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (sin x) (/ (tan x) (cos x))) (.f64 x x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ -1 (/ 1 (+ (pow (tan x) 2) -1))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (/ 1 (/ -1 (+ (pow (tan x) 2) -1))) (+ 1 (pow (tan x) 2))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (/ -1 (/ 1 (+ (pow (tan x) 2) -1))) (+ 1 (* (tan x) (tan x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ 1 (/ -1 (+ (pow (tan x) 2) -1))) (+ 1 (pow (tan x) 2))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)))))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(approx (+ 1 (pow (tan x) 2)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.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)))))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.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))))))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (.f64 x (fma.f64 (.f64 x x) (.f64 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))) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) #s(approx ( (tan x) (tan x)) (.f64 x (fma.f64 (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)) (.f64 x (*.f64 x x)) x)))))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (.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))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(approx (pow (/ 1 (cos x)) 2) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(approx (pow (/ 1 (cos x)) 2) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 17/315 binary64)) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (tan.f64 x) #s(approx (neg (tan x)) (.f64 x (fma.f64 (.f64 x x) (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)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) #s(approx (neg (tan x)) (.f64 x (fma.f64 (.f64 x x) (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)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) #s(approx (tan x) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 17/315 binary64)) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (fma.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)) (.f64 x (*.f64 x x)) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))

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

Calls

4 calls:

14.0ms	(tan.f64 x)
13.0ms	x
13.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
13.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`
99.5%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
99.5%	1	`(tan.f64 x)`

Compiler

Compiled 27 to 13 computations (51.9% saved)

regimes52.0ms (0.6%)

Memory

-10.0MiB live, 150.0MiB allocated

Counts

44 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (sin x) (/ (tan x) (cos x))) (.f64 x x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ -1 (/ 1 (+ (pow (tan x) 2) -1))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (/ 1 (/ -1 (+ (pow (tan x) 2) -1))) (+ 1 (pow (tan x) 2))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (/ -1 (/ 1 (+ (pow (tan x) 2) -1))) (+ 1 (* (tan x) (tan x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ 1 (/ -1 (+ (pow (tan x) 2) -1))) (+ 1 (pow (tan x) 2))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)))))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(approx (+ 1 (pow (tan x) 2)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.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)))))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.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))))))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (.f64 x (fma.f64 (.f64 x x) (.f64 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))) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) #s(approx ( (tan x) (tan x)) (.f64 x (fma.f64 (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)) (.f64 x (*.f64 x x)) x)))))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (.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))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(approx (pow (/ 1 (cos x)) 2) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(approx (pow (/ 1 (cos x)) 2) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 17/315 binary64)) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (tan.f64 x) #s(approx (neg (tan x)) (.f64 x (fma.f64 (.f64 x x) (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)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) #s(approx (neg (tan x)) (.f64 x (fma.f64 (.f64 x x) (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)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) #s(approx (tan x) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 17/315 binary64)) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (fma.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)) (.f64 x (*.f64 x x)) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))

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

Calls

4 calls:

13.0ms	(tan.f64 x)
13.0ms	x
12.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
12.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`
99.5%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
99.5%	1	`(tan.f64 x)`

Compiler

Compiled 27 to 13 computations (51.9% saved)

regimes51.0ms (0.6%)

Memory

-11.1MiB live, 148.8MiB allocated

Counts

43 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (sin x) (/ (tan x) (cos x))) (.f64 x x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ -1 (/ 1 (+ (pow (tan x) 2) -1))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (/ 1 (/ -1 (+ (pow (tan x) 2) -1))) (+ 1 (pow (tan x) 2))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (/ -1 (/ 1 (+ (pow (tan x) 2) -1))) (+ 1 (* (tan x) (tan x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ 1 (/ -1 (+ (pow (tan x) 2) -1))) (+ 1 (pow (tan x) 2))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)))))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(approx (+ 1 (pow (tan x) 2)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.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)))))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.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))))))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (.f64 x (fma.f64 (.f64 x x) (.f64 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))) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) #s(approx ( (tan x) (tan x)) (.f64 x (fma.f64 (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)) (.f64 x (*.f64 x x)) x)))))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (.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))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(approx (pow (/ 1 (cos x)) 2) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(approx (pow (/ 1 (cos x)) 2) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (tan x) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 17/315 binary64)) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (tan.f64 x) #s(approx (neg (tan x)) (.f64 x (fma.f64 (.f64 x x) (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)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) #s(approx (neg (tan x)) (.f64 x (fma.f64 (.f64 x x) (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)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) #s(approx (tan x) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 17/315 binary64)) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (fma.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)) (.f64 x (*.f64 x x)) x)))))

Outputs

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

Calls

4 calls:

12.0ms	x
12.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
12.0ms	(tan.f64 x)
12.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Accuracy	Segments	Branch
58.8%	1	`x`
58.8%	1	`(tan.f64 x)`
58.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`
58.8%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`

Compiler

Compiled 27 to 13 computations (51.9% saved)

regimes43.0ms (0.5%)

Memory

2.6MiB live, 122.7MiB allocated

Counts

36 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (sin x) (/ (tan x) (cos x))) (.f64 x x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ -1 (/ 1 (+ (pow (tan x) 2) -1))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (/ 1 (/ -1 (+ (pow (tan x) 2) -1))) (+ 1 (pow (tan x) 2))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (/ -1 (/ 1 (+ (pow (tan x) 2) -1))) (+ 1 (* (tan x) (tan x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ 1 (/ -1 (+ (pow (tan x) 2) -1))) (+ 1 (pow (tan x) 2))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)))))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(approx (+ 1 (pow (tan x) 2)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.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)))))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.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))))))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (.f64 x (fma.f64 (.f64 x x) (.f64 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))) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) #s(approx ( (tan x) (tan x)) (.f64 x (fma.f64 (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)) (.f64 x (*.f64 x x)) x)))))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (.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))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))

Outputs

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

Calls

4 calls:

11.0ms	(tan.f64 x)
11.0ms	x
10.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
10.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Accuracy	Segments	Branch
56.3%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
56.3%	1	`x`
56.3%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`
56.3%	1	`(tan.f64 x)`

Compiler

Compiled 27 to 13 computations (51.9% saved)

regimes32.0ms (0.3%)

Memory

15.5MiB live, 94.6MiB allocated

Counts

26 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (sin x) (/ (tan x) (cos x))) (.f64 x x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ -1 (/ 1 (+ (pow (tan x) 2) -1))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (/ 1 (/ -1 (+ (pow (tan x) 2) -1))) (+ 1 (pow (tan x) 2))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (/ -1 (/ 1 (+ (pow (tan x) 2) -1))) (+ 1 (* (tan x) (tan x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ 1 (/ -1 (+ (pow (tan x) 2) -1))) (+ 1 (pow (tan x) 2))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)))))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(approx (+ 1 (pow (tan x) 2)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))

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

Calls

4 calls:

8.0ms	x
8.0ms	(tan.f64 x)
8.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
7.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))

Results

Accuracy	Segments	Branch
56.3%	1	`x`
56.3%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`
56.3%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
56.3%	1	`(tan.f64 x)`

Compiler

Compiled 27 to 13 computations (51.9% saved)

regimes26.0ms (0.3%)

Memory

-7.4MiB live, 74.6MiB allocated

Accuracy

Total -32.3b remaining (-104.6%)

Threshold costs -32.3b (-104.6%)

Counts

19 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (sin x) (/ (tan x) (cos x))) (.f64 x x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ -1 (/ 1 (+ (pow (tan x) 2) -1))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (/ 1 (/ -1 (+ (pow (tan x) 2) -1))) (+ 1 (pow (tan x) 2))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (/ -1 (/ 1 (+ (pow (tan x) 2) -1))) (+ 1 (* (tan x) (tan x)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ 1 (/ -1 (+ (pow (tan x) 2) -1))) (+ 1 (pow (tan x) 2))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)))))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))))))
#s(approx (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))

Outputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))

Calls

4 calls:

7.0ms	(tan.f64 x)
6.0ms	x
6.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
6.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Accuracy	Segments	Branch
51.8%	1	`x`
51.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`
51.8%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
51.8%	1	`(tan.f64 x)`

Compiler

Compiled 27 to 13 computations (51.9% saved)

simplify8.0ms (0.1%)

Memory

-16.9MiB live, 22.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`*-commutative_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	131
1	51	131
2	56	131
3	59	131
4	60	131

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.3s (14.2%)

Memory

6.2MiB live, 1 403.6MiB allocated

Rules

16 790×	`lower-fma.f64`
16 790×	`lower-fma.f32`
16 148×	`lower-fma.f64`
16 148×	`lower-fma.f32`
15 120×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	603
1	151	602
2	409	588
3	1153	588
4	2141	588
5	3924	588
6	5296	588
0	8024	567
0	46	218
0	76	211
1	309	186
2	2353	186
0	9111	184
0	170	3281
1	483	3277
2	1386	3212
3	3018	3212
4	6305	3206
0	8141	3097
0	39	198
0	67	166
1	263	163
2	1978	163
0	8936	163
0	203	3064
1	531	3061
2	1392	3005
3	2640	3005
4	4781	3005
5	5865	2998
0	8312	2859
0	156	2841
1	392	2838
2	1039	2775
3	3261	2743
4	4581	2735
5	6187	2735
0	8217	2617
0	40	178
0	70	154
1	287	146
2	2024	146
0	8750	146
0	7	34
0	12	29
1	51	29
2	359	29
3	5062	17
0	10307	17

Stop Event

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

Compiler

Compiled 604 to 230 computations (61.9% saved)

preprocess51.0ms (0.5%)

Memory: 3.4MiB live, 162.4MiB allocated
Remove: (abs x)
Compiler: Compiled 288 to 96 computations (66.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze127.0ms (1.4%)

sample837.0ms (9%)

explain109.0ms (1.2%)

preprocess344.0ms (3.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify245.0ms (2.6%)

localize29.0ms (0.3%)

series6.0ms (0.1%)

simplify235.0ms (2.5%)

rewrite212.0ms (2.3%)

eval58.0ms (0.6%)

prune101.0ms (1.1%)

simplify166.0ms (1.8%)

localize128.0ms (1.4%)

series44.0ms (0.5%)

simplify233.0ms (2.5%)

rewrite276.0ms (3%)

eval351.0ms (3.8%)

prune294.0ms (3.2%)

simplify159.0ms (1.7%)

localize213.0ms (2.3%)

series28.0ms (0.3%)

simplify279.0ms (3%)

rewrite255.0ms (2.7%)

eval667.0ms (7.2%)

prune431.0ms (4.7%)

simplify159.0ms (1.7%)

localize244.0ms (2.6%)

series21.0ms (0.2%)

simplify248.0ms (2.7%)

rewrite286.0ms (3.1%)

eval302.0ms (3.3%)

prune349.0ms (3.8%)

regimes137.0ms (1.5%)

regimes59.0ms (0.6%)

regimes56.0ms (0.6%)

regimes52.0ms (0.6%)

regimes51.0ms (0.6%)

regimes43.0ms (0.5%)

regimes32.0ms (0.3%)

regimes26.0ms (0.3%)

simplify8.0ms (0.1%)

soundness1.3s (14.2%)

preprocess51.0ms (0.5%)

end0.0ms (0%)

Profiling