Metrics for Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze185.0ms (1.9%)

Memory

-13.8MiB live, 348.7MiB 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
25%	25%	75%	0%	0%	0%	0%	3
37.5%	37.5%	62.5%	0%	0%	0%	0%	4
43.8%	43.7%	56.2%	0%	0%	0%	0%	5
46.9%	46.9%	53.1%	0%	0%	0%	0%	6
48.4%	48.4%	51.5%	0%	0%	0%	0%	7
49.2%	49.2%	50.8%	0%	0%	0%	0%	8
49.6%	49.6%	50.4%	0%	0%	0%	0%	9
49.8%	49.8%	50.2%	0%	0%	0%	0%	10
49.9%	49.9%	50.1%	0%	0%	0%	0%	11
50%	49.9%	50%	0%	0%	0%	0%	12

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample1.3s (13%)

Memory

12.5MiB live, 1 357.2MiB allocated

Samples

930.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 689.0ms

ival-sin: 366.0ms (53.1% of total)

ival-mult: 182.0ms (26.4% of total)

ival-div: 121.0ms (17.6% of total)

exact: 10.0ms (1.5% of total)

ival-true: 6.0ms (0.9% of total)

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

Bogosity

explain254.0ms (2.6%)

Memory

-9.2MiB live, 115.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
67	0	-	3	(6.430988246087809e-158)	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`
0	0	-	0	-	`(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))`
0	136	(-1.669905809556288e+207)	0	-	`(sin.f64 (*.f64 x #s(literal 1/2 binary64)))`
0	0	-	0	-	`#s(literal 8 binary64)`
0	0	-	0	-	`#s(literal 3 binary64)`
0	0	-	0	-	`(*.f64 x #s(literal 1/2 binary64))`
0	0	-	0	-	`(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))`
0	0	-	0	-	`(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`#s(literal 1/2 binary64)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sin.f64`	`(sin.f64 (*.f64 x #s(literal 1/2 binary64)))`	sensitivity	136	0
`/.f64`	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`	u/n	64	0
↳	`(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))`	underflow	64

Confusion

	Predicted +	Predicted -
+	64	3
-	136	53

Precision

0.32

Recall

0.9552238805970149

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	64	0	3
-	136	0	53

Precision?

0.32

Recall?

0.9552238805970149

Freqs

test

number	freq
0	56
1	200

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

54.0ms

512×

valid

Compiler

Compiled 127 to 37 computations (70.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-sin: 22.0ms (57.5% of total)

ival-mult: 9.0ms (23.5% of total)

ival-div: 7.0ms (18.3% of total)

exact: 1.0ms (2.6% of total)

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

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

preprocess56.0ms (0.6%)

Memory

26.8MiB live, 26.8MiB allocated

Algorithm

1×	egg-herbie

Rules

586×	`times-frac`
414×	`associate-*r/`
412×	`associate-r`
284×	`associate-l`
270×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	35	29
2	95	28
3	296	28
4	900	28
5	1747	28
6	1848	28
7	1878	28
8	1906	28
9	1918	28
10	1990	28
11	2425	28
0	11	14
0	19	14
1	26	14
2	36	14
3	45	14
4	48	14
0	48	14

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Outputs

(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))

Symmetry

(negabs x)

Compiler

Compiled 17 to 11 computations (35.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.9%	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify5.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
cost-diff	0	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
cost-diff	704	(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))

Rules

46×	`lower-*.f32`
40×	`lower-*.f64`
20×	`*-commutative`
10×	`associate-/l*`
10×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
0	19	45
1	26	45
2	36	45
3	45	45
4	48	45
0	48	45

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
#s(literal 8 binary64)
#s(literal 3 binary64)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sin.f64 x)

Outputs
(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 #s(literal 8/3 binary64) (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))))
(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
#s(literal 8/3 binary64)
#s(literal 8 binary64)
#s(literal 3 binary64)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sin.f64 x)

localize51.0ms (0.5%)

Memory

-2.2MiB live, 35.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 x)
accuracy	0.22265625	(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
accuracy	0.36328125	(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
accuracy	15.229463072249427	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Samples

37.0ms

256×

valid

Compiler

Compiled 55 to 13 computations (76.4% saved)

Precisions

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

ival-div: 14.0ms (48.1% of total)

ival-sin: 11.0ms (37.8% of total)

ival-mult: 4.0ms (13.8% 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

5.9MiB live, 5.9MiB allocated

Counts

5 → 48

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (patch (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())

Outputs
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* 1/18 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor inf x) (#s(alt (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor inf x) (#s(alt (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor inf x) (#s(alt (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor inf x) (#s(alt (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (patch (/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2/3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) (taylor 0 x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) (taylor 0 x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (pow (sin (* 1/2 x)) 2)) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 4/3 x) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 4/3 (* -1/18 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (sin (* 1/2 x))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
1.0ms	x	@	-inf	(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
1.0ms	x	@	inf	(* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))
1.0ms	x	@	0	(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
0.0ms	x	@	-inf	(* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))

simplify736.0ms (7.4%)

Memory

-7.1MiB live, 264.3MiB allocated

Algorithm

1×	egg-herbie

Rules

18 506×	`lower-fma.f64`
18 506×	`lower-fma.f32`
4 370×	`lower-+.f64`
4 370×	`lower-+.f32`
3 662×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	414
1	252	414
2	600	408
3	1799	408
4	3352	408
5	4719	408
6	5032	408
7	5327	408
8	5949	408
9	7813	408
0	8080	384

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
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)

Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 2/3 (pow x 2))
(.f64 #s(literal 2/3 binary64) (.f64 x x))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/540 binary64)) #s(literal -1/18 binary64))) #s(literal 2/3 binary64)))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64))))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 4/3 x)
(*.f64 x #s(literal 4/3 binary64))
(* x (+ 4/3 (* -1/18 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/18 binary64) #s(literal 4/3 binary64)))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/1440 binary64) #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/241920 binary64)) #s(literal 1/1440 binary64))) #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* 8/3 (sin (* 1/2 x)))
(.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)

rewrite238.0ms (2.4%)

Memory

-5.7MiB live, 132.0MiB allocated

Rules

2 420×	`lower-*.f32`
2 414×	`lower-*.f64`
2 008×	`lower-/.f32`
2 006×	`lower-/.f64`
534×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	34
0	19	34
1	34	28
2	115	28
3	628	24
0	4915	24

Stop Event

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

Counts

5 → 286

Calls

Call 1

Inputs
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(sin.f64 x)

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

eval42.0ms (0.4%)

Memory: -12.8MiB live, 104.2MiB allocated
Compiler: Compiled 5 289 to 750 computations (85.8% saved)

prune76.0ms (0.8%)

Memory

6.5MiB live, 204.8MiB allocated

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	304	29	333
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	305	29	334

Accuracy

100.0%

Counts

334 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.8%	(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
▶	55.8%	(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
	55.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (sin.f64 x))
	55.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 x))
	55.8%	(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
	55.6%	(/.f64 (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
	55.8%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
	47.9%	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64))))
	75.9%	(/.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
	24.8%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/540 binary64)) #s(literal -1/18 binary64))) #s(literal 2/3 binary64)))) (sin.f64 x))
	23.4%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64))))) (sin.f64 x))
	23.3%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64))))) (sin.f64 x))
▶	75.8%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (sin.f64 x))
	24.9%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 #s(literal 2/3 binary64) (.f64 x x))) (sin.f64 x))
	55.7%	(/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
	55.7%	(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
▶	55.7%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
	53.0%	(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (sin.f64 x))
	99.2%	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 x) #s(literal 3/8 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
▶	99.5%	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
	99.2%	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))))
	55.8%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
	99.2%	(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
	55.8%	(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal 3/8 binary64))))
	55.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
	47.3%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
	47.3%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 x (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64))))
	75.9%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))))
▶	47.6%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Compiler

Compiled 808 to 572 computations (29.2% saved)

simplify258.0ms (2.6%)

Memory

16.0MiB live, 174.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
cost-diff	0	(.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
cost-diff	0	#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))))
cost-diff	0	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (sin.f64 x))
cost-diff	0	(cos.f64 x)
cost-diff	0	(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
cost-diff	704	(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
cost-diff	6848	(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
cost-diff	0	(cos.f64 x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff	128	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
cost-diff	6848	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
cost-diff	0	(*.f64 #s(literal 2/3 binary64) x)
cost-diff	0	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
cost-diff	0	(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
cost-diff	384	(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))
cost-diff	576	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))

Rules

2 930×	`lower-fma.f32`
2 928×	`lower-fma.f64`
2 074×	`lower-*.f32`
2 062×	`lower-*.f64`
1 074×	`div-sub`

Iterations

Useful iterations: 11 (0.0ms)

Iter	Nodes	Cost
0	39	190
0	60	171
1	95	168
2	125	168
3	163	168
4	226	168
5	335	168
6	599	168
7	974	168
8	1172	168
9	1569	168
10	1944	168
11	2580	166
12	2945	166
13	3639	166
14	4295	166
15	4675	166
16	5150	166
17	5766	166
18	6067	166
19	6613	166
20	7225	166
21	7225	166
22	7225	166
23	7225	166
24	7530	166
0	8014	166

Stop Event

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

Calls

Call 1

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

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

localize190.0ms (1.9%)

Memory

-3.4MiB live, 353.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))))
accuracy	0.27734375	(.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
accuracy	0.29525375976844204	(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
accuracy	15.229463072249427	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (sin.f64 x))
accuracy	0	(cos.f64 x)
accuracy	0.15625	(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
accuracy	12.878816250649574	(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
accuracy	15.264064292884868	(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
accuracy	0	(cos.f64 x)
accuracy	0.40625	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
accuracy	12.891534963109264	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	15.255575525459218	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
accuracy	0.30859375	(*.f64 #s(literal 2/3 binary64) x)
accuracy	33.3708727665532	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
accuracy	0	(sin.f64 x)
accuracy	0.11328125	(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))
accuracy	0.1328125	(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
accuracy	0.21484375	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))

Samples

58.0ms	139×	0	valid
51.0ms	67×	2	valid
16.0ms	36×	1	valid
10.0ms	12×	3	valid
3.0ms	2×	4	valid

Compiler

Compiled 179 to 36 computations (79.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-cos: 22.0ms (20.6% of total)

ival-div: 20.0ms (18.8% of total)

ival-mult: 20.0ms (18.8% of total)

ival-sin: 18.0ms (16.9% of total)

const: 9.0ms (8.4% of total)

adjust: 7.0ms (6.6% of total)

ival-add: 3.0ms (2.8% of total)

ival-pow2: 3.0ms (2.8% of total)

ival-sub: 2.0ms (1.9% of total)

exact: 1.0ms (0.9% of total)

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

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

series20.0ms (0.2%)

Memory

2.4MiB live, 38.1MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))) (patch (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)) (patch (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (patch (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #<representation binary64>) () ())
#s(alt (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 #s(literal 2/3 binary64) x)) (patch #s(approx (/ ( (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2/3 binary64) x) (patch (.f64 #s(literal 2/3 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64)) (patch (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) (patch (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) (patch (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (sin.f64 x)) (patch (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (sin.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (patch #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (patch (.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())

Outputs
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))) (patch (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* 1/18 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))) (patch (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) (taylor 0 x) (#s(alt (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))) (patch (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) (taylor 0 x) (#s(alt (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))) (patch (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor inf x) (#s(alt (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))) (patch (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor inf x) (#s(alt (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))) (patch (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor inf x) (#s(alt (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))) (patch (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor inf x) (#s(alt (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))) (patch (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) (taylor -inf x) (#s(alt (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))) (patch (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
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#s(alt (pow (sin (* 1/2 x)) 2) (taylor inf x) (#s(alt (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (sin (* 1/2 x)) 2) (taylor -inf x) (#s(alt (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (sin (* 1/2 x)) 2) (taylor -inf x) (#s(alt (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (sin (* 1/2 x)) 2) (taylor -inf x) (#s(alt (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (sin (* 1/2 x)) 2) (taylor -inf x) (#s(alt (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())

Calls

54 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(/ (+ (* (cos x) -1/2) 1/2) (sin x))
2.0ms	x	@	inf	(/ (- 1 (cos x)) (sin x))
1.0ms	x	@	-inf	(/ (+ (* (cos x) -1/2) 1/2) (sin x))
0.0ms	x	@	inf	(/ (sin (* 1/2 x)) (sin x))
0.0ms	x	@	-inf	(/ (- 1 (cos x)) (sin x))

simplify495.0ms (5%)

Memory

-10.6MiB live, 461.2MiB allocated

Algorithm

1×	egg-herbie

Rules

15 442×	`lower-fma.f64`
15 442×	`lower-fma.f32`
5 710×	`lower-+.f64`
5 710×	`lower-+.f32`
4 724×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	217	1802
1	636	1802
2	1589	1796
3	2953	1796
4	5214	1796
5	5507	1796
6	5927	1796
7	6875	1796
0	8035	1670

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 215

Calls

Call 1

Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
1/2
(+ 1/2 (* 1/16 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 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)

Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 4/3 x)
(*.f64 x #s(literal 4/3 binary64))
(* x (+ 4/3 (* -1/18 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/1440 binary64)) #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/241920 binary64) #s(literal 1/1440 binary64)) #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* 8/3 (sin (* 1/2 x)))
(.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/16 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5/768 binary64) #s(literal 1/16 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 61/92160 binary64) #s(literal 5/768 binary64)) #s(literal 1/16 binary64)) #s(literal 1/2 binary64))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/48 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
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(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/540 binary64))) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/48 binary64)) #s(literal 1/4 binary64)))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/1440 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/80640 binary64)) #s(literal 1/1440 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)

rewrite252.0ms (2.5%)

Memory

2.5MiB live, 362.2MiB allocated

Rules

3 880×	`lower-*.f32`
3 868×	`lower-*.f64`
3 552×	`lower-/.f32`
3 540×	`lower-/.f64`
2 482×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	156
0	60	138
1	170	138
2	833	138
3	7009	138
0	8101	138

Stop Event

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

Counts

18 → 878

Calls

Call 1

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

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

eval275.0ms (2.8%)

Memory: -103.1MiB live, 248.3MiB allocated
Compiler: Compiled 21 529 to 2 748 computations (87.2% saved)

prune205.0ms (2.1%)

Memory

22.1MiB live, 379.5MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	1 183	18	1 201
Fresh	22	2	24
Picked	4	1	5
Done	0	0	0
Total	1 209	21	1 230

Accuracy

100.0%

Counts

1 230 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.8%	(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
	55.8%	(/.f64 (fma.f64 #s(literal 4/3 binary64) (neg.f64 (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
	55.6%	(/.f64 (+.f64 #s(literal -4/3 binary64) (*.f64 #s(literal 4/3 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x)))
	55.6%	(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
	99.3%	(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
	47.6%	(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))) #s(literal 3/8 binary64))
	47.8%	(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 x #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
	99.3%	(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))))
	55.2%	(+.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal 4/3 binary64)))
	99.2%	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
	99.3%	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
▶	98.9%	(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))
	55.7%	(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
▶	55.8%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
	71.1%	(.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64))) #s(literal 4/3 binary64))
▶	99.4%	(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
▶	47.3%	(.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 4/3 binary64))
	47.3%	#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
▶	47.3%	#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
✓	47.6%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Compiler

Compiled 489 to 341 computations (30.3% saved)

simplify268.0ms (2.7%)

Memory

-6.7MiB live, 109.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (sin.f64 x))
cost-diff	128	(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
cost-diff	7168	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
cost-diff	0	(+.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff	0	(sin.f64 x)
cost-diff	128	(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))
cost-diff	6848	(/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
cost-diff	0	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
cost-diff	0	(.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 4/3 binary64))
cost-diff	0	(*.f64 x #s(literal 1/18 binary64))
cost-diff	0	(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
cost-diff	0	(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
cost-diff	0	#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))

Rules

2 876×	`lower-fma.f32`
2 870×	`lower-fma.f64`
2 004×	`lower-*.f32`
1 984×	`lower-*.f64`
1 304×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	197
0	65	190
1	123	190
2	232	190
3	432	190
4	647	190
5	902	190
6	1174	190
7	1349	190
8	1541	190
9	1791	190
10	2024	190
11	2356	190
12	2608	190
13	3631	190
14	4090	190
15	4245	190
16	4420	190
17	4676	175
18	4853	175
19	5607	175
20	6220	175
21	6984	175
22	7192	175
23	7266	175
24	7352	175
25	7447	175
26	7701	175
27	7789	175
28	7861	175
29	7865	175
0	8025	174

Stop Event

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

Calls

Call 1

Inputs
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 4/3 binary64)
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
x
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(*.f64 x #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 4/3 binary64))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
x
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64))
#s(literal 1/240 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 4/3 binary64)
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))
(/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(sin.f64 x)
x
(+.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
#s(literal 4/3 binary64)
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
#s(literal 1 binary64)
(sin.f64 x)
x
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
#s(literal 4/3 binary64)

Outputs
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 4/3 binary64)
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
x
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(*.f64 x #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 4/3 binary64))
(.f64 #s(literal 4/3 binary64) #s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
x
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64))
(fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64))
#s(literal 1/240 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 4/3 binary64)
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))
(.f64 #s(literal -4/3 binary64) (tan.f64 (.f64 x #s(literal -1/2 binary64))))
(/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(neg.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64))))
(sin.f64 x)
x
(+.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
#s(literal 4/3 binary64)
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
(.f64 #s(literal -4/3 binary64) (tan.f64 (.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
#s(literal 1 binary64)
(sin.f64 x)
x
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
#s(literal 4/3 binary64)

localize222.0ms (2.2%)

Memory

6.4MiB live, 360.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(/.f64 #s(literal 1 binary64) (sin.f64 x))
accuracy	0.26953125	(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
accuracy	12.891534963109264	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	15.011452374378372	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
accuracy	0	(cos.f64 x)
accuracy	0.201503759768442	(/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
accuracy	0.3730302387767895	(+.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	0.40625	(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))
accuracy	0.05078125	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
accuracy	0.08203125	(fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64))
accuracy	0.40625	(.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 4/3 binary64))
accuracy	33.55703534378688	#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
accuracy	0.05859375	(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
accuracy	0.2109375	(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
accuracy	0.3671875	(*.f64 x #s(literal 1/18 binary64))
accuracy	33.5345805196122	#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.40625	(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))

Samples

64.0ms	67×	2	valid
54.0ms	139×	0	valid
20.0ms	36×	1	valid
13.0ms	13×	3	valid
2.0ms	1×	5	exit

Compiler

Compiled 169 to 40 computations (76.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-mult: 27.0ms (22.8% of total)

ival-cos: 25.0ms (21.1% of total)

const: 19.0ms (16.1% of total)

ival-div: 12.0ms (10.1% of total)

adjust: 11.0ms (9.3% of total)

ival-add: 10.0ms (8.5% of total)

ival-tan: 6.0ms (5.1% of total)

ival-sin: 5.0ms (4.2% of total)

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

exact: 1.0ms (0.8% of total)

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

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

series30.0ms (0.3%)

Memory

6.2MiB live, 43.7MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#s(alt (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (patch (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())
#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) (patch #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/18 binary64)) (patch (.f64 x #s(literal 1/18 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 4/3 binary64)) (patch (.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 4/3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (patch #s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (patch (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64)) (patch (.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64)) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (+.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (patch (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 x)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())

Outputs
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (patch (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* 1/18 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (patch (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) (taylor 0 x) (#s(alt (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (patch (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) (taylor 0 x) (#s(alt (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (patch (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (patch (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (patch (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (patch (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (patch (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (patch (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (patch (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (patch (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (patch (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/24 (pow x 2)))) (taylor 0 x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) (taylor 0 x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) (taylor 0 x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor inf x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor inf x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor inf x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor inf x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) (patch #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* 1/18 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) (patch #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) (patch #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) (patch #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) (taylor inf x) (#s(alt #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) (patch #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) (taylor inf x) (#s(alt #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) (patch #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) (taylor inf x) (#s(alt #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) (patch #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) (taylor inf x) (#s(alt #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) (patch #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) (taylor -inf x) (#s(alt #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) (patch #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) (taylor -inf x) (#s(alt #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) (patch #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) (taylor -inf x) (#s(alt #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) (patch #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) (taylor -inf x) (#s(alt #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) (patch #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* 1/18 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* 1/18 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* 1/18 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (pow x 3)) (taylor inf x) (#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (pow x 3)) (taylor -inf x) (#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (/ (- 1 (cos x)) (sin x))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2/3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (patch (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (patch (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (patch (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (patch (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (- 1 (cos x))) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (patch (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (- 1 (cos x))) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (patch (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (- 1 (cos x))) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (patch (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (- 1 (cos x))) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (patch (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (- 1 (cos x))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (patch (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (- 1 (cos x))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (patch (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (- 1 (cos x))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (patch (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (- 1 (cos x))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (patch (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 x)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 1/6 (pow x 2))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 x)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 x)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 x)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (sin x)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 x)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (sin x)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 x)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (sin x)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 x)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (sin x)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 x)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (sin x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 x)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (sin x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 x)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (sin x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 x)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (sin x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 x)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1/24 (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/24 (* 1/240 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/24 (* 1/240 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/24 (* 1/240 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/240 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/240 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())

Calls

63 calls:

Time	Variable		Point	Expression
10.0ms	x	@	inf	(/ (sin x) (+ 1 (cos x)))
3.0ms	x	@	-inf	(* x (+ (* x (* x 1/18)) 2/3))
1.0ms	x	@	-inf	(* (tan (* 1/2 x)) 4/3)
1.0ms	x	@	inf	(* (tan (* 1/2 x)) 4/3)
1.0ms	x	@	-inf	(/ (sin x) (+ 1 (cos x)))

simplify554.0ms (5.6%)

Memory

2.0MiB live, 444.7MiB allocated

Algorithm

1×	egg-herbie

Rules

15 564×	`lower-fma.f64`
15 564×	`lower-fma.f32`
4 924×	`lower-*.f64`
4 924×	`lower-*.f32`
3 136×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	2000
1	535	1994
2	1330	1832
3	3853	1830
4	7266	1830
0	8413	1691

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 251

Calls

Call 1

Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(+ 2/3 (* 1/18 (pow x 2)))
(+ 2/3 (* 1/18 (pow x 2)))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* 1/240 (pow x 5))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/240 (pow x 5))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(* 1/240 (pow x 4))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/240 (pow x 4))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
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)
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(/ 1 x)
(/ (+ 1 (* 1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x)
(/ 1 (sin x))
(/ 1 (sin x))
(/ 1 (sin x))
(/ 1 (sin x))
(/ 1 (sin x))
(/ 1 (sin x))
(/ 1 (sin x))
(/ 1 (sin x))
1/24
(+ 1/24 (* 1/240 (pow x 2)))
(+ 1/24 (* 1/240 (pow x 2)))
(+ 1/24 (* 1/240 (pow x 2)))
(* 1/240 (pow x 2))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* 1/240 (pow x 2))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))

Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 1/18 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/18 binary64))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 1/18 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/18 binary64))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
2/3
#s(literal 2/3 binary64)
(+ 2/3 (* 1/18 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(+ 2/3 (* 1/18 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(+ 2/3 (* 1/18 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(* 1/18 (pow x 2))
(.f64 x (.f64 x #s(literal 1/18 binary64)))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(* 1/18 (pow x 2))
(.f64 x (.f64 x #s(literal 1/18 binary64)))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
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(/ (- 1 (cos x)) (sin x))
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(/ (- 1 (cos x)) (sin x))
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(/ (- 1 (cos x)) (sin x))
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(/ (- 1 (cos x)) (sin x))
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(/ (- 1 (cos x)) (sin x))
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(/ (- 1 (cos x)) (sin x))
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(/ (- 1 (cos x)) (sin x))
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(* 1/2 x)
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(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
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(.f64 x (.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))))
(* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/240 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/240 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/240 (pow x 5))
(.f64 x (.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/240 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/240 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 x x))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* 1/240 (pow x 4))
(.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)))
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* 1/240 (pow x 4))
(.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)))
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(+ 1 (cos x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+ 1 (cos x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+ 1 (cos x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+ 1 (cos x))
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(+ 1 (cos x))
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(+ 1 (cos x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+ 1 (cos x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+ 1 (cos x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 2/3 (pow x 2))
(.f64 #s(literal 2/3 binary64) (.f64 x x))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/18 binary64)) #s(literal 2/3 binary64))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/540 binary64)) #s(literal -1/18 binary64))) #s(literal 2/3 binary64))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))
(* 4/3 (- 1 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(* 4/3 (- 1 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(* 4/3 (- 1 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(* 4/3 (- 1 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(* 4/3 (- 1 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(* 4/3 (- 1 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(* 4/3 (- 1 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(* 4/3 (- 1 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/6 (pow x 2))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)
(/ 1 (sin x))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
(/ 1 (sin x))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
(/ 1 (sin x))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
(/ 1 (sin x))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
(/ 1 (sin x))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
(/ 1 (sin x))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
(/ 1 (sin x))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
(/ 1 (sin x))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/240 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64))
(+ 1/24 (* 1/240 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64))
(+ 1/24 (* 1/240 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64))
(* 1/240 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/240 binary64))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64))
(* 1/240 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/240 binary64))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))

rewrite376.0ms (3.8%)

Memory

-3.8MiB live, 390.3MiB allocated

Rules

4 768×	`lower-/.f32`
4 764×	`lower-/.f64`
4 228×	`lower-*.f32`
4 210×	`lower-*.f64`
2 814×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	173
0	65	156
1	229	156
2	1476	156
0	8482	155

Stop Event

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

Counts

21 → 1 060

Calls

Call 1

Inputs
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(*.f64 x #s(literal 1/18 binary64))
(.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 4/3 binary64))
#s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))
(sin.f64 x)
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
(fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64))
(cos.f64 x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))

Outputs
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal 4/3 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 4/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 4/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x))) (-.f64 #s(literal -1 binary64) (cos.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x))) (-.f64 #s(literal -1 binary64) (cos.f64 x)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 4/3 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x)))
(/.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 4/3 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.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 binary64) (cos.f64 x))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 4/3 binary64))) (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 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)))) #s(literal 4/3 binary64))) (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (*.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (.f64 (neg.f64 (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 4/3 binary64))) (*.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 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)))) #s(literal 4/3 binary64))) (.f64 (neg.f64 (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (.f64 (.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (sin.f64 x)))
(/.f64 (.f64 (.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (*.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (sin.f64 x))))
(/.f64 (.f64 (.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64)) (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (.f64 (.f64 #s(literal 4/3 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)) (neg.f64 (sin.f64 x))))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 4/3 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (sin.f64 x)))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 4/3 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (sin.f64 x))))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 4/3 binary64)) #s(literal 1 binary64)) (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 4/3 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x))))
(/.f64 (.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))))))
(/.f64 (.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))))
(/.f64 (.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 x)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 x)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal -1 binary64) (cos.f64 x))))
(/.f64 #s(literal -4/3 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (sin.f64 x))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 4/3 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) (sin.f64 x))
(/.f64 (neg.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))) (sin.f64 x))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 4/3 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 4/3 binary64))) (sin.f64 x))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (sin.f64 x) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))) #s(literal 4/3 binary64)))
(*.f64 (sin.f64 x) (/.f64 #s(literal -4/3 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 4/3 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(.f64 (.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))))
(.f64 (neg.f64 (.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(.f64 (neg.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 4/3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))))
(.f64 (.f64 #s(literal 4/3 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (.f64 (*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 4/3 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 #s(literal -4/3 binary64) (.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
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(.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
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(fma.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (sin.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (sin.f64 x)) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (sin.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))) (sin.f64 x)) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (sin.f64 x)) (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(neg.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #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) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 #s(literal -1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (*.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)) (.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (*.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (-.f64 #s(literal -1 binary64) (cos.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (.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 binary64) (cos.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64)) (.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 binary64) (cos.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.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))))) (.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal -1 binary64) (cos.f64 x))))
(/.f64 (.f64 (-.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 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))))))
(/.f64 (.f64 (-.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 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #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 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))) #s(literal 3 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 binary64) (cos.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))) (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x 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 x x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x)))) (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x 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 x x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) (.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (sin.f64 x) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #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 binary64) (cos.f64 x))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))))
(.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.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 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))

eval219.0ms (2.2%)

Memory: 23.6MiB live, 333.6MiB allocated
Compiler: Compiled 29 215 to 2 688 computations (90.8% saved)

prune363.0ms (3.7%)

Memory

-66.3MiB live, 410.7MiB allocated

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	1 350	6	1 356
Fresh	7	8	15
Picked	0	5	5
Done	0	1	1
Total	1 357	20	1 377

Accuracy

100.0%

Counts

1 377 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.8%	(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
	55.8%	(/.f64 (fma.f64 #s(literal 4/3 binary64) (neg.f64 (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
▶	55.6%	(/.f64 (+.f64 #s(literal -4/3 binary64) (*.f64 #s(literal 4/3 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x)))
▶	47.6%	(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))) #s(literal 3/8 binary64))
	47.8%	(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 x #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
	99.3%	(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
▶	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)))
▶	99.3%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)))
	98.8%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))
	98.8%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) #s(literal 4/3 binary64))
✓	98.9%	(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))
	55.7%	(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	55.8%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
✓	99.4%	(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
✓	47.3%	(.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 4/3 binary64))
	47.6%	#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))))
	47.3%	#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
✓	47.3%	#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
▶	4.1%	#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64))))))
✓	47.6%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Compiler

Compiled 375 to 270 computations (28% saved)

simplify136.0ms (1.4%)

Memory

37.1MiB live, 141.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 x)
cost-diff	0	(*.f64 #s(literal 4/3 binary64) (cos.f64 x))
cost-diff	128	(+.f64 #s(literal -4/3 binary64) (*.f64 #s(literal 4/3 binary64) (cos.f64 x)))
cost-diff	6976	(/.f64 (+.f64 #s(literal -4/3 binary64) (*.f64 #s(literal 4/3 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x)))
cost-diff	0	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
cost-diff	704	(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)))
cost-diff	0	(fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64))
cost-diff	0	(.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))
cost-diff	0	#s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64))))
cost-diff	0	(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))) #s(literal 3/8 binary64))
cost-diff	0	(.f64 x (.f64 x #s(literal 1/18 binary64)))
cost-diff	0	#s(approx (+ (* x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64))))
cost-diff	0	(.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64)))))
cost-diff	0	#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64))))))
cost-diff	0	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)))

Rules

2 246×	`lower-fma.f32`
2 244×	`lower-fma.f64`
1 450×	`lower-*.f32`
1 434×	`lower-*.f64`
898×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	224
0	65	217
1	104	213
2	135	213
3	159	213
4	187	213
5	220	213
6	273	213
7	357	213
8	542	213
9	914	213
10	2003	213
11	2595	213
12	2756	213
13	2890	197
14	3406	197
15	4624	197
16	5905	197
17	7605	197
18	7995	197
0	8013	193

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)))
#s(literal 1 binary64)
(.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 3/4 binary64)
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64))))))
(.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64)))))
x
#s(approx (+ (* x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64))))
(.f64 x (.f64 x #s(literal 1/18 binary64)))
(*.f64 x #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))) #s(literal 3/8 binary64))
#s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))
x
(fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64))
(*.f64 x #s(literal 1/48 binary64))
#s(literal 1/48 binary64)
#s(literal 1/4 binary64)
#s(literal 3/8 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 4/3 binary64)
(/.f64 (+.f64 #s(literal -4/3 binary64) (*.f64 #s(literal 4/3 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x)))
(+.f64 #s(literal -4/3 binary64) (*.f64 #s(literal 4/3 binary64) (cos.f64 x)))
#s(literal -4/3 binary64)
(*.f64 #s(literal 4/3 binary64) (cos.f64 x))
#s(literal 4/3 binary64)
(cos.f64 x)
x
(neg.f64 (sin.f64 x))
(sin.f64 x)

Outputs
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
#s(literal 1 binary64)
(.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 3/4 binary64)
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64))))))
(.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64)))))
x
#s(approx (+ (* x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64))))
(.f64 x (.f64 x #s(literal 1/18 binary64)))
(*.f64 x #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))) #s(literal 3/8 binary64))
#s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))
x
(fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64))
(*.f64 x #s(literal 1/48 binary64))
#s(literal 1/48 binary64)
#s(literal 1/4 binary64)
#s(literal 3/8 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 4/3 binary64)
(/.f64 (+.f64 #s(literal -4/3 binary64) (*.f64 #s(literal 4/3 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x)))
(.f64 #s(literal -4/3 binary64) (tan.f64 (.f64 x #s(literal -1/2 binary64))))
(+.f64 #s(literal -4/3 binary64) (*.f64 #s(literal 4/3 binary64) (cos.f64 x)))
(fma.f64 #s(literal 4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64))
#s(literal -4/3 binary64)
(*.f64 #s(literal 4/3 binary64) (cos.f64 x))
#s(literal 4/3 binary64)
(cos.f64 x)
x
(neg.f64 (sin.f64 x))
(sin.f64 x)

localize310.0ms (3.1%)

Memory

9.9MiB live, 405.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 x)
accuracy	0.26953125	(*.f64 #s(literal 4/3 binary64) (cos.f64 x))
accuracy	13.090615670264864	(+.f64 #s(literal -4/3 binary64) (*.f64 #s(literal 4/3 binary64) (cos.f64 x)))
accuracy	15.229463072249427	(/.f64 (+.f64 #s(literal -4/3 binary64) (*.f64 #s(literal 4/3 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x)))
accuracy	0.00390625	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.125	(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
accuracy	0.29296875	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)))
accuracy	0.43359375	(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
accuracy	0.046875	(fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64))
accuracy	0.15625	(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))) #s(literal 3/8 binary64))
accuracy	0.3046875	(*.f64 x #s(literal 1/48 binary64))
accuracy	33.533020224733825	#s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64))))
accuracy	0.21484375	(.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64)))))
accuracy	0.3671875	(*.f64 x #s(literal 1/18 binary64))
accuracy	28.86470098074014	#s(approx (+ (* x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64))))
accuracy	33.5345805196122	#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64))))))
accuracy	0.00390625	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.125	(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
accuracy	0.29296875	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)))
accuracy	0.33203125	(.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))

Samples

105.0ms	67×	2	valid
58.0ms	138×	0	valid
19.0ms	14×	3	valid
18.0ms	36×	1	valid
2.0ms	1×	4	valid

Compiler

Compiled 182 to 39 computations (78.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 173.0ms

const: 54.0ms (31.3% of total)

ival-cos: 43.0ms (24.9% of total)

ival-mult: 26.0ms (15.1% of total)

ival-div: 17.0ms (9.8% of total)

adjust: 12.0ms (7% of total)

ival-add: 7.0ms (4.1% of total)

ival-tan: 6.0ms (3.5% of total)

ival-sin: 5.0ms (2.9% of total)

ival-neg: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

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

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

series38.0ms (0.4%)

Memory

-8.4MiB live, 27.9MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())
#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64)))))) (patch #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64)))))) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64))))) (patch (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64)))) (patch #s(approx (+ (* x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x #s(literal 1/18 binary64))) (patch (.f64 x (.f64 x #s(literal 1/18 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))) #s(literal 3/8 binary64)) (patch (/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))) #s(literal 3/8 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))) (patch #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))) (patch (/.f64 (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (patch (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 4/3 binary64) (cos.f64 x)) (patch (.f64 #s(literal 4/3 binary64) (cos.f64 x)) #<representation binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/18 binary64)) (patch (.f64 x #s(literal 1/18 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/48 binary64)) (patch (.f64 x #s(literal 1/48 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* 1/18 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 3/2 x) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 3/2 (* -1/8 (pow x 2))) x) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x)))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* -1/6 (pow x 2))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 1/2 x)) (sin (* 1/2 x))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 1/2 x)) (sin (* 1/2 x))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 1/2 x)) (sin (* 1/2 x))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 1/2 x)) (sin (* 1/2 x))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 1/2 x)) (sin (* 1/2 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 1/2 x)) (sin (* 1/2 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 1/2 x)) (sin (* 1/2 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 1/2 x)) (sin (* 1/2 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/24 (pow x 2)))) (taylor 0 x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) (taylor 0 x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) (taylor 0 x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor inf x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor inf x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor inf x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor inf x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64)))))) (patch #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* 1/18 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64)))))) (patch #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64)))))) (patch #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64)))))) (patch #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) (taylor inf x) (#s(alt #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64)))))) (patch #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) (taylor inf x) (#s(alt #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64)))))) (patch #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) (taylor inf x) (#s(alt #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64)))))) (patch #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) (taylor inf x) (#s(alt #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64)))))) (patch #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) (taylor -inf x) (#s(alt #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64)))))) (patch #s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64)))))) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))) (patch (/.f64 (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 4/3 (cos x)) 4/3) (sin x))) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))) (patch (/.f64 (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 4/3 (cos x)) 4/3) (sin x))) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))) (patch (/.f64 (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 4/3 (cos x)) 4/3) (sin x))) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))) (patch (/.f64 (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 4/3 (cos x)) 4/3) (sin x))) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))) (patch (/.f64 (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 4/3 (cos x)) 4/3) (sin x))) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))) (patch (/.f64 (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 4/3 (cos x)) 4/3) (sin x))) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))) (patch (/.f64 (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 4/3 (cos x)) 4/3) (sin x))) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))) (patch (/.f64 (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 4/3 (cos x)) 4/3) (sin x))) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))) (patch (/.f64 (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -2/3 (pow x 2)) (taylor 0 x) (#s(alt (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (patch (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/18 (pow x 2)) 2/3)) (taylor 0 x) (#s(alt (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (patch (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* (pow x 2) (+ 1/18 (* -1/540 (pow x 2)))) 2/3)) (taylor 0 x) (#s(alt (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (patch (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* (pow x 2) (+ 1/18 (* (pow x 2) (- (* 1/30240 (pow x 2)) 1/540)))) 2/3)) (taylor 0 x) (#s(alt (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (patch (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* 4/3 (cos x)) 4/3) (taylor inf x) (#s(alt (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (patch (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* 4/3 (cos x)) 4/3) (taylor inf x) (#s(alt (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (patch (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* 4/3 (cos x)) 4/3) (taylor inf x) (#s(alt (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (patch (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* 4/3 (cos x)) 4/3) (taylor inf x) (#s(alt (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (patch (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* 4/3 (cos x)) 4/3) (taylor -inf x) (#s(alt (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (patch (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* 4/3 (cos x)) 4/3) (taylor -inf x) (#s(alt (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (patch (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* 4/3 (cos x)) 4/3) (taylor -inf x) (#s(alt (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (patch (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* 4/3 (cos x)) 4/3) (taylor -inf x) (#s(alt (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) (patch (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt 4/3 (taylor 0 x) (#s(alt (.f64 #s(literal 4/3 binary64) (cos.f64 x)) (patch (.f64 #s(literal 4/3 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 4/3 (* -2/3 (pow x 2))) (taylor 0 x) (#s(alt (.f64 #s(literal 4/3 binary64) (cos.f64 x)) (patch (.f64 #s(literal 4/3 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 4/3 (* (pow x 2) (- (* 1/18 (pow x 2)) 2/3))) (taylor 0 x) (#s(alt (.f64 #s(literal 4/3 binary64) (cos.f64 x)) (patch (.f64 #s(literal 4/3 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/18 (* -1/540 (pow x 2)))) 2/3))) (taylor 0 x) (#s(alt (.f64 #s(literal 4/3 binary64) (cos.f64 x)) (patch (.f64 #s(literal 4/3 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (cos x)) (taylor inf x) (#s(alt (.f64 #s(literal 4/3 binary64) (cos.f64 x)) (patch (.f64 #s(literal 4/3 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (cos x)) (taylor inf x) (#s(alt (.f64 #s(literal 4/3 binary64) (cos.f64 x)) (patch (.f64 #s(literal 4/3 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (cos x)) (taylor inf x) (#s(alt (.f64 #s(literal 4/3 binary64) (cos.f64 x)) (patch (.f64 #s(literal 4/3 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (cos x)) (taylor inf x) (#s(alt (.f64 #s(literal 4/3 binary64) (cos.f64 x)) (patch (.f64 #s(literal 4/3 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (cos x)) (taylor -inf x) (#s(alt (.f64 #s(literal 4/3 binary64) (cos.f64 x)) (patch (.f64 #s(literal 4/3 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (cos x)) (taylor -inf x) (#s(alt (.f64 #s(literal 4/3 binary64) (cos.f64 x)) (patch (.f64 #s(literal 4/3 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (cos x)) (taylor -inf x) (#s(alt (.f64 #s(literal 4/3 binary64) (cos.f64 x)) (patch (.f64 #s(literal 4/3 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 4/3 (cos x)) (taylor -inf x) (#s(alt (.f64 #s(literal 4/3 binary64) (cos.f64 x)) (patch (.f64 #s(literal 4/3 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/18 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/18 binary64)) (patch (.f64 x #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/18 binary64)) (patch (.f64 x #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/18 binary64)) (patch (.f64 x #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/18 binary64)) (patch (.f64 x #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/18 binary64)) (patch (.f64 x #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/18 binary64)) (patch (.f64 x #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/18 binary64)) (patch (.f64 x #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/18 binary64)) (patch (.f64 x #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/18 binary64)) (patch (.f64 x #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/18 binary64)) (patch (.f64 x #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/18 binary64)) (patch (.f64 x #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/18 binary64)) (patch (.f64 x #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/48 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/48 binary64)) (patch (.f64 x #s(literal 1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/48 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/48 binary64)) (patch (.f64 x #s(literal 1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/48 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/48 binary64)) (patch (.f64 x #s(literal 1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/48 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/48 binary64)) (patch (.f64 x #s(literal 1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/48 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/48 binary64)) (patch (.f64 x #s(literal 1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/48 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/48 binary64)) (patch (.f64 x #s(literal 1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/48 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/48 binary64)) (patch (.f64 x #s(literal 1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/48 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/48 binary64)) (patch (.f64 x #s(literal 1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/48 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/48 binary64)) (patch (.f64 x #s(literal 1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/48 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/48 binary64)) (patch (.f64 x #s(literal 1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/48 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/48 binary64)) (patch (.f64 x #s(literal 1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/48 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/48 binary64)) (patch (.f64 x #s(literal 1/48 binary64)) #<representation binary64>) () ())) ())

Calls

60 calls:

Time	Variable		Point	Expression
23.0ms	x	@	inf	(/ (+ -4/3 (* 4/3 (cos x))) (neg (sin x)))
1.0ms	x	@	-inf	(/ (+ -4/3 (* 4/3 (cos x))) (neg (sin x)))
1.0ms	x	@	-inf	(* (/ 1 (tan (* 1/2 x))) 3/4)
1.0ms	x	@	inf	(* (/ 1 (tan (* 1/2 x))) 3/4)
0.0ms	x	@	inf	(/ 1 (tan (* 1/2 x)))

simplify256.0ms (2.6%)

Memory

-4.7MiB live, 392.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 250×	`lower-fma.f64`
12 250×	`lower-fma.f32`
4 410×	`lower-*.f64`
4 410×	`lower-*.f32`
3 316×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	176	2012
1	452	2012
2	1124	1964
3	2584	1964
4	4216	1964
5	7431	1964
0	8053	1810

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/ 3/2 x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/ 2 x)
(/ (+ 2 (* -1/6 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))) x)
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(+ 2/3 (* 1/18 (pow x 2)))
(+ 2/3 (* 1/18 (pow x 2)))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* 1/48 (pow x 3))
(* (pow x 3) (+ 1/48 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/48 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/48 (* 1/4 (/ 1 (pow x 2)))))
(* 1/48 (pow x 3))
(* (pow x 3) (+ 1/48 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/48 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/48 (* 1/4 (/ 1 (pow x 2)))))
1/4
(+ 1/4 (* 1/48 (pow x 2)))
(+ 1/4 (* 1/48 (pow x 2)))
(+ 1/4 (* 1/48 (pow x 2)))
(* 1/48 (pow x 2))
(* (pow x 2) (+ 1/48 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/48 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/48 (* 1/4 (/ 1 (pow x 2)))))
(* 1/48 (pow x 2))
(* (pow x 2) (+ 1/48 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/48 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/48 (* 1/4 (/ 1 (pow x 2)))))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/ 3/2 x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* -1 (/ (- (* 4/3 (cos x)) 4/3) (sin x)))
(* -1 (/ (- (* 4/3 (cos x)) 4/3) (sin x)))
(* -1 (/ (- (* 4/3 (cos x)) 4/3) (sin x)))
(* -1 (/ (- (* 4/3 (cos x)) 4/3) (sin x)))
(* -1 (/ (- (* 4/3 (cos x)) 4/3) (sin x)))
(* -1 (/ (- (* 4/3 (cos x)) 4/3) (sin x)))
(* -1 (/ (- (* 4/3 (cos x)) 4/3) (sin x)))
(* -1 (/ (- (* 4/3 (cos x)) 4/3) (sin x)))
(* -2/3 (pow x 2))
(* (pow x 2) (- (* 1/18 (pow x 2)) 2/3))
(* (pow x 2) (- (* (pow x 2) (+ 1/18 (* -1/540 (pow x 2)))) 2/3))
(* (pow x 2) (- (* (pow x 2) (+ 1/18 (* (pow x 2) (- (* 1/30240 (pow x 2)) 1/540)))) 2/3))
(- (* 4/3 (cos x)) 4/3)
(- (* 4/3 (cos x)) 4/3)
(- (* 4/3 (cos x)) 4/3)
(- (* 4/3 (cos x)) 4/3)
(- (* 4/3 (cos x)) 4/3)
(- (* 4/3 (cos x)) 4/3)
(- (* 4/3 (cos x)) 4/3)
(- (* 4/3 (cos x)) 4/3)
4/3
(+ 4/3 (* -2/3 (pow x 2)))
(+ 4/3 (* (pow x 2) (- (* 1/18 (pow x 2)) 2/3)))
(+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/18 (* -1/540 (pow x 2)))) 2/3)))
(* 4/3 (cos x))
(* 4/3 (cos x))
(* 4/3 (cos x))
(* 4/3 (cos x))
(* 4/3 (cos x))
(* 4/3 (cos x))
(* 4/3 (cos x))
(* 4/3 (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/48 x)
(* 1/48 x)
(* 1/48 x)
(* 1/48 x)
(* 1/48 x)
(* 1/48 x)
(* 1/48 x)
(* 1/48 x)
(* 1/48 x)
(* 1/48 x)
(* 1/48 x)
(* 1/48 x)

Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/480 binary64)) #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/20160 binary64) #s(literal -1/480 binary64))) #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) x)
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 3/4 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 3/4 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 3/4 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 3/4 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 3/4 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 3/4 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 3/4 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 3/4 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/6 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/360 binary64)) #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/15120 binary64)) #s(literal -1/360 binary64)) #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 1/18 (pow x 3))
(.f64 x (.f64 #s(literal 1/18 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 1/18 (pow x 3))
(.f64 x (.f64 #s(literal 1/18 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
2/3
#s(literal 2/3 binary64)
(+ 2/3 (* 1/18 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(+ 2/3 (* 1/18 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(+ 2/3 (* 1/18 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(* 1/18 (pow x 2))
(.f64 #s(literal 1/18 binary64) (.f64 x x))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(* 1/18 (pow x 2))
(.f64 #s(literal 1/18 binary64) (.f64 x x))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(* 1/18 (pow x 2))
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(*.f64 x #s(literal 1/48 binary64))
(* 1/48 x)
(*.f64 x #s(literal 1/48 binary64))
(* 1/48 x)
(*.f64 x #s(literal 1/48 binary64))
(* 1/48 x)
(*.f64 x #s(literal 1/48 binary64))

rewrite420.0ms (4.2%)

Memory

8.4MiB live, 425.2MiB allocated

Rules

6 112×	`lower-fma.f32`
6 110×	`lower-fma.f64`
5 626×	`lower-*.f32`
5 610×	`lower-*.f64`
4 146×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	186
0	65	178
1	215	174
2	1124	173
0	8538	165

Stop Event

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

Counts

20 → 587

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64))))))
(.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64)))))
#s(approx (+ (* x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64))))
(.f64 x (.f64 x #s(literal 1/18 binary64)))
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))) #s(literal 3/8 binary64))
#s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
(/.f64 (+.f64 #s(literal -4/3 binary64) (*.f64 #s(literal 4/3 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x)))
(+.f64 #s(literal -4/3 binary64) (*.f64 #s(literal 4/3 binary64) (cos.f64 x)))
(*.f64 #s(literal 4/3 binary64) (cos.f64 x))
(cos.f64 x)
(*.f64 x #s(literal 1/18 binary64))
(*.f64 x #s(literal 1/48 binary64))

Outputs
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(neg.f64 (.f64 #s(literal -4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -3/4 binary64))
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
(/.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal -4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (neg.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (.f64 #s(literal -4/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (.f64 #s(literal -4/3 binary64) (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 #s(literal -4/3 binary64) (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -4/3 binary64))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(.f64 (pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64))) (pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (neg.f64 (log.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(neg.f64 (/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (.f64 #s(literal -4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -4/3 binary64))
(/.f64 #s(literal -3/4 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (.f64 #s(literal 3/4 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64))) (pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))
(.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/4 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (/.f64 #s(literal -3/4 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -3/4 binary64))
(.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 3/4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64)))
(.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (.f64 #s(literal 3/4 binary64) (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -3/4 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (/.f64 #s(literal 3/4 binary64) (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (.f64 (log.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(neg.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)))))
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(/.f64 (.f64 (-.f64 #s(literal 4096/729 binary64) (pow.f64 (.f64 #s(literal 4/3 binary64) (cos.f64 x)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal -4/3 binary64) (cos.f64 x))))) (+.f64 #s(literal 256/81 binary64) (.f64 (.f64 #s(literal 16/9 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (fma.f64 #s(literal 16/9 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 16/9 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 256/81 binary64) (pow.f64 (.f64 #s(literal 4/3 binary64) (cos.f64 x)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal -4/3 binary64) (cos.f64 x))))) (+.f64 #s(literal 16/9 binary64) (.f64 #s(literal 16/9 binary64) (+.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) (fma.f64 #s(literal 4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64)))
(*.f64 (fma.f64 #s(literal 4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)))
(.f64 (fma.f64 #s(literal 64/27 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -64/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 x) #s(literal 16/9 binary64)) #s(literal 16/9 binary64))))
(.f64 (fma.f64 #s(literal 64/27 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -64/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16/9 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 16/9 binary64) (.f64 (cos.f64 x) #s(literal 16/9 binary64))))))
(.f64 (fma.f64 #s(literal 64/27 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -64/27 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (cos.f64 x) #s(literal 16/9 binary64)) #s(literal 16/9 binary64))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 16/9 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal -16/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4/3 binary64) (*.f64 #s(literal -4/3 binary64) (cos.f64 x)))))
(.f64 (+.f64 #s(literal 16/9 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal -16/9 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal -4/3 binary64) (cos.f64 x)))) #s(literal 1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal 64/27 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -64/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 x) #s(literal 16/9 binary64)) #s(literal 16/9 binary64)))))
(.f64 (+.f64 #s(literal -16/9 binary64) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal -16/9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/3 binary64) (neg.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 x))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 x) #s(literal 16/9 binary64)) #s(literal 16/9 binary64))) (fma.f64 #s(literal 64/27 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -64/27 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4/3 binary64) (.f64 #s(literal -4/3 binary64) (cos.f64 x)))) (+.f64 #s(literal 16/9 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -16/9 binary64))))
(.f64 (fma.f64 #s(literal 16/9 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -16/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 16/9 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal -16/9 binary64))) (+.f64 #s(literal 16/9 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -16/9 binary64)))) (fma.f64 #s(literal 4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 64/27 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -64/27 binary64)) (+.f64 #s(literal 4096/729 binary64) (pow.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 x) #s(literal 16/9 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 256/81 binary64) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 x) #s(literal 16/9 binary64))) (-.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 x) #s(literal 16/9 binary64))) #s(literal 16/9 binary64)))))
(.f64 (/.f64 (fma.f64 #s(literal 64/27 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -64/27 binary64)) (-.f64 #s(literal 256/81 binary64) (pow.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 x) #s(literal 16/9 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 16/9 binary64) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (cos.f64 x) #s(literal 16/9 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 16/9 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal -16/9 binary64))) (+.f64 #s(literal -64/27 binary64) (.f64 #s(literal -64/27 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (+.f64 #s(literal 16/9 binary64) (.f64 (cos.f64 x) (fma.f64 (cos.f64 x) #s(literal 16/9 binary64) #s(literal -16/9 binary64)))))
(*.f64 #s(literal 4/3 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal 4/3 binary64))
(cos.f64 x)
(*.f64 x #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) x)
(*.f64 x #s(literal 1/48 binary64))
(*.f64 #s(literal 1/48 binary64) x)

eval472.0ms (4.8%)

Memory: -15.3MiB live, 247.3MiB allocated
Compiler: Compiled 16 527 to 1 848 computations (88.8% saved)

prune199.0ms (2%)

Memory

22.8MiB live, 382.1MiB allocated

Pruning

28 alts after pruning (18 fresh and 10 done)

	Pruned	Kept	Total
New	908	12	920
Fresh	3	6	9
Picked	0	5	5
Done	1	5	6
Total	912	28	940

Accuracy

100.0%

Counts

940 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.8%	(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
✓	55.6%	(/.f64 (+.f64 #s(literal -4/3 binary64) (*.f64 #s(literal 4/3 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x)))
	99.8%	(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
✓	47.6%	(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))) #s(literal 3/8 binary64))
	47.8%	(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (.f64 x #s(approx (+ ( x (* x 1/48)) 1/4) #s(literal 1/4 binary64)))) #s(literal 3/8 binary64))
	99.3%	(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
✓	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)))
	47.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (tan (* 1/2 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 4/3 binary64)))
	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
✓	99.3%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)))
	48.0%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ 1 (tan ( 1/2 x))) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/360 binary64)) #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) #s(literal 3/4 binary64)))
	48.2%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ 1 (tan ( 1/2 x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64)) x)) #s(literal 3/4 binary64)))
	47.6%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ 1 (tan ( 1/2 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 3/4 binary64)))
	48.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/20160 binary64) #s(literal -1/480 binary64))) #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) x)))
	48.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/480 binary64)) #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) x)))
	48.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)))
	47.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 #s(literal 3/2 binary64) x)))
	98.8%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))
	98.8%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) #s(literal 4/3 binary64))
✓	98.9%	(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))
	55.7%	(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	99.4%	(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
✓	47.3%	(.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 4/3 binary64))
	47.6%	#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))))
	47.3%	#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
✓	47.3%	#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
✓	4.1%	#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64))))))
✓	47.6%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Compiler

Compiled 1 109 to 459 computations (58.6% saved)

regimes43.0ms (0.4%)

Memory

-0.4MiB live, 81.6MiB allocated

Counts

66 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 x (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64))))
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 x #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (.f64 x #s(approx (+ ( x (* x 1/48)) 1/4) #s(literal 1/4 binary64)))) #s(literal 3/8 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 #s(literal 3/2 binary64) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ 1 (tan ( 1/2 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 3/4 binary64)))
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))) #s(literal 3/8 binary64))
(.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 4/3 binary64))
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (tan (* 1/2 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 4/3 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ 1 (tan ( 1/2 x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64)) x)) #s(literal 3/4 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/480 binary64)) #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ 1 (tan ( 1/2 x))) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/360 binary64)) #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) #s(literal 3/4 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/20160 binary64) #s(literal -1/480 binary64))) #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) x)))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 #s(literal 2/3 binary64) (.f64 x x))) (sin.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64))))) (sin.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/540 binary64)) #s(literal -1/18 binary64))) #s(literal 2/3 binary64)))) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64))))) (sin.f64 x))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (fma.f64 #s(literal 4/3 binary64) (neg.f64 (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (+.f64 #s(literal -4/3 binary64) (*.f64 #s(literal 4/3 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
(/.f64 (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(+.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal 4/3 binary64)))
(/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) #s(literal 4/3 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (sin.f64 x))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 x) #s(literal 3/8 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (sin.f64 x))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64))) #s(literal 4/3 binary64))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64))))

Outputs
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))

Calls

2 calls:

21.0ms	x
20.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes24.0ms (0.2%)

Memory

-15.1MiB live, 22.9MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 x (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64))))
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 x #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (.f64 x #s(approx (+ ( x (* x 1/48)) 1/4) #s(literal 1/4 binary64)))) #s(literal 3/8 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 #s(literal 3/2 binary64) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ 1 (tan ( 1/2 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 3/4 binary64)))
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))) #s(literal 3/8 binary64))
(.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 4/3 binary64))
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (tan (* 1/2 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 4/3 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ 1 (tan ( 1/2 x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64)) x)) #s(literal 3/4 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/480 binary64)) #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ 1 (tan ( 1/2 x))) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/360 binary64)) #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) #s(literal 3/4 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/20160 binary64) #s(literal -1/480 binary64))) #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) x)))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))

Outputs
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))

Calls

2 calls:

17.0ms	x
6.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes13.0ms (0.1%)

Memory

21.0MiB live, 21.0MiB allocated

Counts

19 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 x (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64))))
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 x #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (.f64 x #s(approx (+ ( x (* x 1/48)) 1/4) #s(literal 1/4 binary64)))) #s(literal 3/8 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 #s(literal 3/2 binary64) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ 1 (tan ( 1/2 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 3/4 binary64)))
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))) #s(literal 3/8 binary64))
(.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 4/3 binary64))
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (tan (* 1/2 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 4/3 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ 1 (tan ( 1/2 x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64)) x)) #s(literal 3/4 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/480 binary64)) #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ 1 (tan ( 1/2 x))) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/360 binary64)) #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) #s(literal 3/4 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/20160 binary64) #s(literal -1/480 binary64))) #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) x)))

Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)))

Calls

2 calls:

6.0ms	x
6.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Results

Accuracy	Segments	Branch
48.2%	1	`x`
48.2%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes24.0ms (0.2%)

Memory

-21.6MiB live, 16.9MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 x (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64))))
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 x #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (.f64 x #s(approx (+ ( x (* x 1/48)) 1/4) #s(literal 1/4 binary64)))) #s(literal 3/8 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 #s(literal 3/2 binary64) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ 1 (tan ( 1/2 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 3/4 binary64)))
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))) #s(literal 3/8 binary64))
(.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 4/3 binary64))
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))))

Outputs
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 x #s(literal 1/4 binary64))) #s(literal 3/8 binary64))

Calls

2 calls:

18.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
5.0ms	x

Results

Accuracy	Segments	Branch
47.8%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`
47.8%	1	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes5.0ms (0%)

Memory

11.5MiB live, 11.5MiB allocated

Accuracy

Total -27.8b remaining (-83%)

Threshold costs -27.8b (-83%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x #s(approx (+ ( x (* x 1/18)) 2/3) (.f64 x (.f64 x #s(literal 1/18 binary64))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 x (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64))))
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))

Outputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Calls

2 calls:

2.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
2.0ms	x

Results

Accuracy	Segments	Branch
47.6%	1	`x`
47.6%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify7.0ms (0.1%)

Memory

22.1MiB live, 22.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	64
1	50	64

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)))
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 x #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64)))

soundness1.2s (12.2%)

Memory

-14.3MiB live, 904.5MiB allocated

Rules

18 506×	`lower-fma.f64`
18 506×	`lower-fma.f32`
15 442×	`lower-fma.f64`
15 442×	`lower-fma.f32`
12 250×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	176	2012
1	452	2012
2	1124	1964
3	2584	1964
4	4216	1964
5	7431	1964
0	8053	1810
0	90	414
1	252	414
2	600	408
3	1799	408
4	3352	408
5	4719	408
6	5032	408
7	5327	408
8	5949	408
9	7813	408
0	8080	384
0	217	1802
1	636	1802
2	1589	1796
3	2953	1796
4	5214	1796
5	5507	1796
6	5927	1796
7	6875	1796
0	8035	1670
0	44	186
0	65	178
1	215	174
2	1124	173
0	8538	165
0	40	173
0	65	156
1	229	156
2	1476	156
0	8482	155
0	39	156
0	60	138
1	170	138
2	833	138
3	7009	138
0	8101	138
0	11	34
0	19	34
1	34	28
2	115	28
3	628	24
0	4915	24

Stop Event

1×	fuel
1×	iter limit
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×	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

Compiler

Compiled 220 to 148 computations (32.7% saved)

preprocess86.0ms (0.9%)

Memory: 1.5MiB live, 136.0MiB allocated
Remove: (negabs x)
Compiler: Compiled 164 to 110 computations (32.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze185.0ms (1.9%)

sample1.3s (13%)

explain254.0ms (2.6%)

preprocess56.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize51.0ms (0.5%)

series6.0ms (0.1%)

simplify736.0ms (7.4%)

rewrite238.0ms (2.4%)

eval42.0ms (0.4%)

prune76.0ms (0.8%)

simplify258.0ms (2.6%)

localize190.0ms (1.9%)

series20.0ms (0.2%)

simplify495.0ms (5%)

rewrite252.0ms (2.5%)

eval275.0ms (2.8%)

prune205.0ms (2.1%)

simplify268.0ms (2.7%)

localize222.0ms (2.2%)

series30.0ms (0.3%)

simplify554.0ms (5.6%)

rewrite376.0ms (3.8%)

eval219.0ms (2.2%)

prune363.0ms (3.7%)

simplify136.0ms (1.4%)

localize310.0ms (3.1%)

series38.0ms (0.4%)

simplify256.0ms (2.6%)

rewrite420.0ms (4.2%)

eval472.0ms (4.8%)

prune199.0ms (2%)

regimes43.0ms (0.4%)

regimes24.0ms (0.2%)

regimes13.0ms (0.1%)

regimes24.0ms (0.2%)

regimes5.0ms (0%)

simplify7.0ms (0.1%)

soundness1.2s (12.2%)

preprocess86.0ms (0.9%)

end0.0ms (0%)

Profiling