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

analyze191.0ms (1.5%)

Memory

5.4MiB live, 465.0MiB 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)

sample1.4s (11%)

Memory

-78.8MiB live, 2 258.3MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 966.0ms

ival-sin: 546.0ms (56.5% of total)

ival-div: 251.0ms (26% of total)

ival-mult: 148.0ms (15.3% of total)

exact: 11.0ms (1.1% of total)

ival-true: 6.0ms (0.6% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

preprocess52.0ms (0.4%)

Memory

-10.2MiB live, 26.9MiB allocated

Algorithm

2×	egg-herbie

Rules

594×	`times-frac`
488×	`associate-r`
336×	`associate-l`
276×	`distribute-lft-neg-in`
276×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	45
1	46	43
2	112	42
3	327	42
4	992	42
5	1751	42
6	1856	42
7	1886	42
8	1914	42
9	1926	42
10	1998	42
11	2469	42
0	12	14
1	19	14
2	29	14
3	38	14
4	41	14
0	41	14

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))

Outputs

(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin 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))))

Call 2

Inputs

(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))

(/ (* (* (/ 8 3) (sin (* (neg x) 1/2))) (sin (* (neg x) 1/2))) (sin (neg x)))

(neg (/ (* (* (/ 8 3) (sin (* (neg x) 1/2))) (sin (* (neg x) 1/2))) (sin (neg x))))

Outputs
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
(* (sin (* x 1/2)) (* 8/3 (/ (sin (* x 1/2)) (sin x))))
(/ (* (* (/ 8 3) (sin (* (neg x) 1/2))) (sin (* (neg x) 1/2))) (sin (neg x)))
(* (sin (* x 1/2)) (* 8/3 (/ (sin (* x -1/2)) (sin x))))
(neg (/ (* (* (/ 8 3) (sin (* (neg x) 1/2))) (sin (* (neg x) 1/2))) (sin (neg x))))
(* (sin (* x 1/2)) (* 8/3 (/ (sin (* x 1/2)) (sin x))))

Symmetry

(negabs x)

explain146.0ms (1.1%)

Memory

-6.0MiB live, 289.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
49	0	-	5	(9.691857279450938e-160)	`(/.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	134	(2.6176632987374457e+126)	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	134	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	44	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	44

Confusion

	Predicted +	Predicted -
+	44	5
-	134	73

Precision

0.24719101123595505

Recall

0.8979591836734694

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	44	0	5
-	134	0	73

Precision?

0.24719101123595505

Recall?

0.8979591836734694

Freqs

test

number	freq
0	78
1	178

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

58.0ms

512×

valid

Compiler

Compiled 144 to 48 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-sin: 23.0ms (54.1% of total)

ival-div: 10.0ms (23.5% of total)

ival-mult: 8.0ms (18.8% of total)

exact: 1.0ms (2.4% of total)

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

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

eval0.0ms (0%)

Memory: 1.1MiB live, 1.1MiB allocated
Compiler: Compiled 15 to 9 computations (40% saved)

prune1.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.6%	(/.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))
▶	99.2%	(.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))))

Status

Accuracy

Program

▶

82.6%

(/.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))

▶

99.2%

(*.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))))

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify8.0ms (0.1%)

Memory

-25.8MiB live, 12.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

46×	`-lowering-.f32`
46×	`-lowering-.f64`
18×	`*-commutative`
10×	`/-lowering-/.f32`
10×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	84
1	27	84
2	36	84
3	42	84
0	42	84

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (sin (* x 1/2)) (* (sin (* x 1/2)) (/ 8/3 (sin x))))
(sin (* x 1/2))
(* x 1/2)
x
1/2
(* (sin (* x 1/2)) (/ 8/3 (sin x)))
(/ 8/3 (sin x))
8/3
(sin x)
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
(* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))
(* (/ 8 3) (sin (* x 1/2)))
(/ 8 3)
8
3
(sin (* x 1/2))
(* x 1/2)
x
1/2
(sin x)

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

localize67.0ms (0.5%)

Memory

30.7MiB live, 148.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	99.6%	(.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	99.5%	(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
✓	accuracy	82.9%	(/.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))
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	99.5%	(.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))))
✓	accuracy	99.5%	(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
✓	accuracy	99.4%	(/.f64 #s(literal 8/3 binary64) (sin.f64 x))

Samples

42.0ms

256×

valid

Compiler

Compiled 94 to 17 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-sin: 11.0ms (34.8% of total)

ival-div: 9.0ms (28.5% of total)

ival-mult: 7.0ms (22.2% of total)

const: 3.0ms (9.5% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.1%)

Memory

-17.1MiB live, 20.8MiB allocated

Counts

10 → 108

Calls

Call 1

Inputs
#<alt (* (sin (* x 1/2)) (* (sin (* x 1/2)) (/ 8/3 (sin x))))>
#<alt (sin (* x 1/2))>
#<alt (* x 1/2)>
#<alt (* (sin (* x 1/2)) (/ 8/3 (sin x)))>
#<alt (/ 8 3)>
#<alt (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))>
#<alt (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))>
#<alt (* (/ 8 3) (sin (* x 1/2)))>
#<alt (/ 8/3 (sin x))>
#<alt (sin x)>

Outputs
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/48 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt 4/3>
#<alt (+ 4/3 (* 1/6 (pow x 2)))>
#<alt (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))>
#<alt (+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 4/3 x)>
#<alt (* x (+ 4/3 (* -1/18 (pow x 2))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (/ 8/3 x)>
#<alt (/ (+ 8/3 (* 4/9 (pow x 2))) x)>
#<alt (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)>
#<alt (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* (sin (* x 1/2)) (/ 8/3 (sin x)))
1.0ms	x	@	0	(/ 8/3 (sin x))
1.0ms	x	@	inf	(* (sin (* x 1/2)) (* (sin (* x 1/2)) (/ 8/3 (sin x))))
1.0ms	x	@	-inf	(* (sin (* x 1/2)) (* (sin (* x 1/2)) (/ 8/3 (sin x))))
1.0ms	x	@	inf	(* x 1/2)

rewrite360.0ms (2.8%)

Memory

-1.9MiB live, 559.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 016×	`-lowering-.f32`
3 016×	`-lowering-.f64`
2 456×	`/-lowering-/.f32`
2 456×	`/-lowering-/.f64`
1 982×	`--lowering--.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	68
1	41	59
2	153	59
3	802	53
4	5881	47
0	8118	47

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 688

Calls

Call 1

Inputs
(* (sin (* x 1/2)) (* (sin (* x 1/2)) (/ 8/3 (sin x))))
(sin (* x 1/2))
(* x 1/2)
(* (sin (* x 1/2)) (/ 8/3 (sin x)))
(/ 8 3)
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
(* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))
(* (/ 8 3) (sin (* x 1/2)))
(/ 8/3 (sin x))
(sin x)

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

simplify499.0ms (3.9%)

Memory

1.0MiB live, 669.6MiB allocated

Algorithm

1×	egg-herbie

Rules

16 216×	`accelerator-lowering-fma.f32`
16 216×	`accelerator-lowering-fma.f64`
4 768×	`-lowering-.f32`
4 768×	`-lowering-.f64`
3 842×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	858
1	399	858
2	964	852
3	2817	852
4	3527	852
5	4255	852
6	4606	852
7	4997	852
8	5754	852
9	7291	852
0	8009	804

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

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)))
(* 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))
(* 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)
4/3
(+ 4/3 (* 1/6 (pow x 2)))
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (/ (sin (* 1/2 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 (/ (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)))
(/ 8/3 x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin 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 (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/180 binary64) (.f64 (*.f64 x x) #s(literal 17/30240 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)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/48 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal -1/48 binary64)))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/48 binary64) (.f64 x (*.f64 x #s(literal 1/3840 binary64)))))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/48 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 x x) #s(literal -1/645120 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))
(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)))
(* 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))
4/3
#s(literal 4/3 binary64)
(+ 4/3 (* 1/6 (pow x 2)))
(+.f64 #s(literal 4/3 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))
(+.f64 #s(literal 4/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 5/288 binary64)))))
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))
(+.f64 #s(literal 4/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 5/288 binary64) (.f64 (.f64 x x) #s(literal 61/34560 binary64)))))))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/180 binary64) (.f64 (*.f64 x x) #s(literal 17/30240 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 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -1/18 binary64))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/18 binary64) (.f64 (.f64 x x) #s(literal 1/540 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 (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/18 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/540 binary64) (.f64 (.f64 x x) #s(literal -1/30240 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 (+.f64 #s(literal 4/3 binary64) (.f64 (*.f64 x x) #s(literal -1/18 binary64))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 x (.f64 x (-.f64 #s(literal -1/18 binary64) (.f64 (*.f64 x x) #s(literal -1/1440 binary64)))))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/18 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/1440 binary64) (.f64 (*.f64 x x) #s(literal -1/241920 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))))
(/ 8/3 x)
(/.f64 #s(literal 8/3 binary64) x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 8/3 binary64) (.f64 (.f64 x x) #s(literal 4/9 binary64))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 8/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 x x) #s(literal 7/135 binary64)))))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)
(/.f64 (+.f64 #s(literal 8/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 7/135 binary64) (.f64 (.f64 x x) #s(literal 31/5670 binary64))))))) x)
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal -1/5040 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)

eval108.0ms (0.8%)

Memory: 29.6MiB live, 218.7MiB allocated
Compiler: Compiled 16 403 to 1 560 computations (90.5% saved)

prune178.0ms (1.4%)

Memory

-30.5MiB live, 189.7MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	966	13	979
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	968	13	981

Accuracy

100.0%

Counts

981 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.9%	(/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
	99.5%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
▶	55.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
	54.7%	(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (sin.f64 x) #s(literal 3/4 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
	82.8%	(/.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 x))
	55.0%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
▶	99.8%	(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
▶	99.3%	(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
▶	54.7%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) #s(literal 3/4 binary64))) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) #s(literal 3/4 binary64))))
	99.4%	(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
	48.5%	(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/18 binary64) (*.f64 x x))))
▶	48.5%	(*.f64 #s(literal 2/3 binary64) x)
	68.1%	(exp.f64 (log.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))))

Compiler

Compiled 280 to 214 computations (23.6% saved)

simplify661.0ms (5.2%)

Memory

6.2MiB live, 161.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
✓	cost-diff	13056	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) #s(literal 3/4 binary64))) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) #s(literal 3/4 binary64))))
✓	cost-diff	0	(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	6528	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
✓	cost-diff	0	(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
✓	cost-diff	128	(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	cost-diff	0	(*.f64 #s(literal 2/3 binary64) x)
✓	cost-diff	0	(/.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))

Rules

1 920×	`accelerator-lowering-fma.f32`
1 920×	`accelerator-lowering-fma.f64`
1 556×	`div-sub`
1 344×	`-lowering-.f32`
1 344×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	103
1	39	99
2	70	99
3	125	99
4	233	99
5	458	99
6	1086	99
7	2679	99
8	4374	99
9	5463	99
10	5700	99
11	5872	99
12	6051	99
13	6385	99
14	6512	99
15	6773	99
16	6862	99
17	6862	99
18	6875	99
19	6876	99
20	6876	99
0	6876	99

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (tan (/ x 2)) 3/4)
(tan (/ x 2))
(/ x 2)
x
2
3/4
(* 2/3 x)
2/3
x
(/ 8/3 (/ 1 (/ (tan (/ x 2)) 2)))
8/3
(/ 1 (/ (tan (/ x 2)) 2))
1
(/ (tan (/ x 2)) 2)
(tan (/ x 2))
(/ x 2)
x
2
(/ (- 1 (cos x)) (* (sin x) 3/4))
(- 1 (cos x))
1
(cos x)
x
(* (sin x) 3/4)
(sin x)
3/4
(- (/ 1 (* (sin x) 3/4)) (/ (cos x) (* (sin x) 3/4)))
(/ 1 (* (sin x) 3/4))
1
(* (sin x) 3/4)
(sin x)
x
3/4
(/ (cos x) (* (sin x) 3/4))
(cos x)

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

localize406.0ms (3.2%)

Memory

-7.2MiB live, 196.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
✓	accuracy	99.6%	(/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
✓	accuracy	54.8%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) #s(literal 3/4 binary64))) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) #s(literal 3/4 binary64))))
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	99.7%	(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
✓	accuracy	82.9%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
✓	accuracy	72.6%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	100.0%	(/.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
✓	accuracy	99.5%	(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	accuracy	99.5%	(*.f64 #s(literal 2/3 binary64) x)
✓	accuracy	100.0%	(/.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓	accuracy	99.8%	(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))

Samples

102.0ms	44×	2	valid
81.0ms	78×	1	valid
55.0ms	134×	0	valid

Compiler

Compiled 120 to 23 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-sin: 41.0ms (32.6% of total)

ival-div: 40.0ms (31.8% of total)

ival-cos: 20.0ms (15.9% of total)

const: 7.0ms (5.6% of total)

ival-tan: 6.0ms (4.8% of total)

adjust: 4.0ms (3.2% of total)

ival-mult: 4.0ms (3.2% of total)

ival-sub: 4.0ms (3.2% of total)

exact: 1.0ms (0.8% of total)

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

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

series17.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Counts

15 → 180

Calls

Call 1

Inputs
#<alt (/ (tan (/ x 2)) 3/4)>
#<alt (tan (/ x 2))>
#<alt (/ x 2)>
#<alt (* 2/3 x)>
#<alt (/ 8/3 (/ 1 (/ (tan (/ x 2)) 2)))>
#<alt (/ 1 (/ (tan (/ x 2)) 2))>
#<alt (/ (tan (/ x 2)) 2)>
#<alt (/ (- 1 (cos x)) (* (sin x) 3/4))>
#<alt (- 1 (cos x))>
#<alt (cos x)>
#<alt (* (sin x) 3/4)>
#<alt (- (/ 1 (* (sin x) 3/4)) (/ (cos x) (* (sin x) 3/4)))>
#<alt (/ 1 (* (sin x) 3/4))>
#<alt (sin x)>
#<alt (/ (cos x) (* (sin x) 3/4))>

Outputs
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (/ 4 x)>
#<alt (/ (+ 4 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)>
#<alt (/ (+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3))) x)>
#<alt (* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 1/4 x)>
#<alt (* x (+ 1/4 (* 1/48 (pow x 2))))>
#<alt (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))>
#<alt (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))>
#<alt (* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (* 3/4 x)>
#<alt (* x (+ 3/4 (* -1/8 (pow x 2))))>
#<alt (* x (+ 3/4 (* (pow x 2) (- (* 1/160 (pow x 2)) 1/8))))>
#<alt (* x (+ 3/4 (* (pow x 2) (- (* (pow x 2) (+ 1/160 (* -1/6720 (pow x 2)))) 1/8))))>
#<alt (* 3/4 (sin x))>
#<alt (* 3/4 (sin x))>
#<alt (* 3/4 (sin x))>
#<alt (* 3/4 (sin x))>
#<alt (* 3/4 (sin x))>
#<alt (* 3/4 (sin x))>
#<alt (* 3/4 (sin x))>
#<alt (* 3/4 (sin x))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))>
#<alt (- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))>
#<alt (- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))>
#<alt (- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))>
#<alt (- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))>
#<alt (- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))>
#<alt (- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))>
#<alt (- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))>
#<alt (/ 4/3 x)>
#<alt (/ (+ 4/3 (* 2/9 (pow x 2))) x)>
#<alt (/ (+ 4/3 (* (pow x 2) (+ 2/9 (* 7/270 (pow x 2))))) x)>
#<alt (/ (+ 4/3 (* (pow x 2) (+ 2/9 (* (pow x 2) (+ 7/270 (* 31/11340 (pow x 2))))))) x)>
#<alt (/ 4/3 (sin x))>
#<alt (/ 4/3 (sin x))>
#<alt (/ 4/3 (sin x))>
#<alt (/ 4/3 (sin x))>
#<alt (/ 4/3 (sin x))>
#<alt (/ 4/3 (sin x))>
#<alt (/ 4/3 (sin x))>
#<alt (/ 4/3 (sin x))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (/ 4/3 x)>
#<alt (/ (+ 4/3 (* -4/9 (pow x 2))) x)>
#<alt (/ (+ 4/3 (* (pow x 2) (- (* -4/135 (pow x 2)) 4/9))) x)>
#<alt (/ (+ 4/3 (* (pow x 2) (- (* (pow x 2) (- (* -8/2835 (pow x 2)) 4/135)) 4/9))) x)>
#<alt (* 4/3 (/ (cos x) (sin x)))>
#<alt (* 4/3 (/ (cos x) (sin x)))>
#<alt (* 4/3 (/ (cos x) (sin x)))>
#<alt (* 4/3 (/ (cos x) (sin x)))>
#<alt (* 4/3 (/ (cos x) (sin x)))>
#<alt (* 4/3 (/ (cos x) (sin x)))>
#<alt (* 4/3 (/ (cos x) (sin x)))>
#<alt (* 4/3 (/ (cos x) (sin x)))>

Calls

45 calls:

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

rewrite851.0ms (6.6%)

Memory

-7.9MiB live, 795.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 328×	`-lowering-.f32`
5 328×	`-lowering-.f64`
4 810×	`/-lowering-/.f32`
4 810×	`/-lowering-/.f64`
3 194×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	73
1	125	69
2	1008	68
0	8263	68

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 1 680

Calls

Call 1

Inputs
(/ (tan (/ x 2)) 3/4)
(tan (/ x 2))
(/ x 2)
(* 2/3 x)
(/ 8/3 (/ 1 (/ (tan (/ x 2)) 2)))
(/ 1 (/ (tan (/ x 2)) 2))
(/ (tan (/ x 2)) 2)
(/ (- 1 (cos x)) (* (sin x) 3/4))
(- 1 (cos x))
(cos x)
(* (sin x) 3/4)
(- (/ 1 (* (sin x) 3/4)) (/ (cos x) (* (sin x) 3/4)))
(/ 1 (* (sin x) 3/4))
(sin x)
(/ (cos x) (* (sin x) 3/4))

Outputs
(+.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (tan.f64 x))))
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (tan.f64 x))) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sin.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) (neg.f64 (.f64 (/.f64 (.f64 #s(literal 3/4 binary64) (sin.f64 x)) (.f64 (*.f64 #s(literal 3/4 binary64) (sin.f64 x)) #s(literal 3/4 binary64))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))))
(+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal -3 binary64)) #s(literal 27/64 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 9/16 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3/4 binary64) (tan.f64 x))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 3/4 binary64) (sin.f64 x)))))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 3/4 binary64) (tan.f64 x)) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 9/16 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3/4 binary64) (tan.f64 x))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 3/4 binary64) (sin.f64 x))))))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 9/16 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 3/4 binary64) (sin.f64 x)))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 3/4 binary64) (tan.f64 x)) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 3/4 binary64) (sin.f64 x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/4 binary64) (tan.f64 x))))
(-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sin.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) (.f64 (/.f64 (.f64 #s(literal 3/4 binary64) (sin.f64 x)) (.f64 (*.f64 #s(literal 3/4 binary64) (sin.f64 x)) #s(literal 3/4 binary64))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal -3 binary64)) #s(literal 27/64 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 9/16 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3/4 binary64) (tan.f64 x))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 3/4 binary64) (sin.f64 x)))))) (/.f64 (pow.f64 (.f64 #s(literal 3/4 binary64) (tan.f64 x)) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 9/16 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3/4 binary64) (tan.f64 x))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 3/4 binary64) (sin.f64 x)))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 9/16 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 3/4 binary64) (sin.f64 x)))) (/.f64 (pow.f64 (.f64 #s(literal 3/4 binary64) (tan.f64 x)) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 3/4 binary64) (sin.f64 x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (sin.f64 x) #s(literal -3/4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (.f64 #s(literal 3/4 binary64) (sin.f64 x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (.f64 #s(literal 3/4 binary64) (sin.f64 x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 #s(literal 3/4 binary64) (sin.f64 x))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 #s(literal 3/4 binary64) (sin.f64 x))))
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(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)))) #s(literal 3/4 binary64))
(pow.f64 (*.f64 #s(literal 3/4 binary64) (sin.f64 x)) #s(literal -1 binary64))
(pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 9/16 binary64)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (*.f64 (sin.f64 x) #s(literal -3/4 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 3/4 binary64) (sin.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 4/3 binary64))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x))) #s(literal -4/3 binary64))
(.f64 (pow.f64 (.f64 #s(literal 3/4 binary64) (sin.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 3/4 binary64) (sin.f64 x)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64)) #s(literal 4/3 binary64))
(sin.f64 x)
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3/4 binary64) (tan.f64 x))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (sin.f64 x) #s(literal -3/4 binary64))) (/.f64 #s(literal -1 binary64) (.f64 #s(literal 3/4 binary64) (tan.f64 x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (tan.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/4 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal 3/4 binary64) (tan.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 x) #s(literal -3/4 binary64)) (.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) #s(literal 3/4 binary64))))
(/.f64 (cos.f64 x) (*.f64 #s(literal 3/4 binary64) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 3/4 binary64) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal -3/4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 3/4 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x))) (neg.f64 (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal -3/4 binary64))
(/.f64 (.f64 (cos.f64 x) #s(literal -1 binary64)) (.f64 (sin.f64 x) #s(literal -3/4 binary64)))
(/.f64 (/.f64 (cos.f64 x) #s(literal 3/4 binary64)) (sin.f64 x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)))) (neg.f64 (neg.f64 (*.f64 (sin.f64 x) #s(literal -3/4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)))) #s(literal 3/4 binary64))
(/.f64 (neg.f64 (.f64 (cos.f64 x) #s(literal -1 binary64))) (neg.f64 (.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(/.f64 (neg.f64 (/.f64 (cos.f64 x) #s(literal 3/4 binary64))) (neg.f64 (sin.f64 x)))
(pow.f64 (*.f64 #s(literal 3/4 binary64) (tan.f64 x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3/4 binary64) (tan.f64 x))))
(*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (cos.f64 x))
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3/4 binary64) (tan.f64 x))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 #s(literal 3/4 binary64) (tan.f64 x))))
(.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) #s(literal 3/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (pow.f64 (/.f64 #s(literal 3/4 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 4/3 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) #s(literal -3/4 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x))) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal -4/3 binary64))
(*.f64 #s(literal -4/3 binary64) (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))))
(.f64 (.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(*.f64 (/.f64 (cos.f64 x) #s(literal 3/4 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) #s(literal -4/3 binary64))
(*.f64 (/.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(.f64 (/.f64 (cos.f64 x) (.f64 #s(literal 1 binary64) (sin.f64 x))) #s(literal 4/3 binary64))
(*.f64 (/.f64 (cos.f64 x) #s(literal -3/4 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(.f64 (/.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (sin.f64 x))) (/.f64 (cos.f64 x) #s(literal 3/4 binary64)))

simplify633.0ms (4.9%)

Memory

26.3MiB live, 889.8MiB allocated

Algorithm

1×	egg-herbie

Rules

16 736×	`accelerator-lowering-fma.f32`
16 736×	`accelerator-lowering-fma.f64`
5 956×	`-lowering-.f32`
5 956×	`-lowering-.f64`
3 272×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	216	1398
1	567	1398
2	1374	1392
3	4008	1392
4	4996	1392
5	5408	1392
6	5936	1392
7	6863	1392
0	8051	1314

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

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)
(* 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)
(* 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))))
(/ 4 x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)
(/ (+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3))) x)
(* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 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 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/2 (/ (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))))))))
(* 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)
(* 3/4 x)
(* x (+ 3/4 (* -1/8 (pow x 2))))
(* x (+ 3/4 (* (pow x 2) (- (* 1/160 (pow x 2)) 1/8))))
(* x (+ 3/4 (* (pow x 2) (- (* (pow x 2) (+ 1/160 (* -1/6720 (pow x 2)))) 1/8))))
(* 3/4 (sin x))
(* 3/4 (sin x))
(* 3/4 (sin x))
(* 3/4 (sin x))
(* 3/4 (sin x))
(* 3/4 (sin x))
(* 3/4 (sin x))
(* 3/4 (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 (sin x))) (* 4/3 (/ (cos x) (sin x))))
(- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))
(- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))
(- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))
(- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))
(- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))
(- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))
(- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))
(/ 4/3 x)
(/ (+ 4/3 (* 2/9 (pow x 2))) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* 7/270 (pow x 2))))) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* (pow x 2) (+ 7/270 (* 31/11340 (pow x 2))))))) x)
(/ 4/3 (sin x))
(/ 4/3 (sin x))
(/ 4/3 (sin x))
(/ 4/3 (sin x))
(/ 4/3 (sin x))
(/ 4/3 (sin x))
(/ 4/3 (sin x))
(/ 4/3 (sin 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)
(/ 4/3 x)
(/ (+ 4/3 (* -4/9 (pow x 2))) x)
(/ (+ 4/3 (* (pow x 2) (- (* -4/135 (pow x 2)) 4/9))) x)
(/ (+ 4/3 (* (pow x 2) (- (* (pow x 2) (- (* -8/2835 (pow x 2)) 4/135)) 4/9))) x)
(* 4/3 (/ (cos x) (sin x)))
(* 4/3 (/ (cos x) (sin x)))
(* 4/3 (/ (cos x) (sin x)))
(* 4/3 (/ (cos x) (sin x)))
(* 4/3 (/ (cos x) (sin x)))
(* 4/3 (/ (cos x) (sin x)))
(* 4/3 (/ (cos x) (sin x)))
(* 4/3 (/ (cos x) (sin x)))

Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/180 binary64) (.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 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 2 binary64)))) (cos.f64 (/.f64 x #s(literal 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 2 binary64)))) (cos.f64 (/.f64 x #s(literal 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 2 binary64)))) (cos.f64 (/.f64 x #s(literal 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 2 binary64)))) (cos.f64 (/.f64 x #s(literal 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 2 binary64)))) (cos.f64 (/.f64 x #s(literal 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 2 binary64)))) (cos.f64 (/.f64 x #s(literal 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 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64)))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
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(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/180 binary64) (.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
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(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
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(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 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 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
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(/ 4 x)
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(/ (+ 4 (* -1/3 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x)
(/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)
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(/ (+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3))) x)
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal -1/7560 binary64)))))))) x)
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(*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
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(*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* x (+ 1/4 (* 1/48 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x #s(literal 1/48 binary64)))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 x x) #s(literal 1/480 binary64))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/48 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/480 binary64) (.f64 (*.f64 x x) #s(literal 17/80640 binary64)))))))))
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
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(/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/180 binary64) (.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 1/2 (pow x 2))
(/.f64 (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 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) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 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))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 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)
(* 3/4 x)
(*.f64 x #s(literal 3/4 binary64))
(* x (+ 3/4 (* -1/8 (pow x 2))))
(.f64 x (+.f64 #s(literal 3/4 binary64) (.f64 x (*.f64 x #s(literal -1/8 binary64)))))
(* x (+ 3/4 (* (pow x 2) (- (* 1/160 (pow x 2)) 1/8))))
(.f64 x (+.f64 #s(literal 3/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal 1/160 binary64)))))))
(* x (+ 3/4 (* (pow x 2) (- (* (pow x 2) (+ 1/160 (* -1/6720 (pow x 2)))) 1/8))))
(.f64 x (+.f64 #s(literal 3/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/160 binary64) (.f64 (*.f64 x x) #s(literal -1/6720 binary64))))))))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/180 binary64) (.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))
(- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/ 4/3 x)
(/.f64 #s(literal 4/3 binary64) x)
(/ (+ 4/3 (* 2/9 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 4/3 binary64) (.f64 x (.f64 x #s(literal 2/9 binary64)))) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* 7/270 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 4/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/9 binary64) (.f64 (.f64 x x) #s(literal 7/270 binary64)))))) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* (pow x 2) (+ 7/270 (* 31/11340 (pow x 2))))))) x)
(/.f64 (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/9 binary64) (.f64 x (.f64 x (+.f64 #s(literal 7/270 binary64) (.f64 (.f64 x x) #s(literal 31/11340 binary64)))))))) x)
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal -1/5040 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)
(/ 4/3 x)
(/.f64 #s(literal 4/3 binary64) x)
(/ (+ 4/3 (* -4/9 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 4/3 binary64) (.f64 x (.f64 x #s(literal -4/9 binary64)))) x)
(/ (+ 4/3 (* (pow x 2) (- (* -4/135 (pow x 2)) 4/9))) x)
(/.f64 (+.f64 #s(literal 4/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -4/9 binary64) (.f64 (.f64 x x) #s(literal -4/135 binary64)))))) x)
(/ (+ 4/3 (* (pow x 2) (- (* (pow x 2) (- (* -8/2835 (pow x 2)) 4/135)) 4/9))) x)
(/.f64 (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -4/9 binary64) (.f64 x (.f64 x (+.f64 #s(literal -4/135 binary64) (.f64 (.f64 x x) #s(literal -8/2835 binary64)))))))) x)
(* 4/3 (/ (cos x) (sin x)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (cos.f64 x)) (sin.f64 x))
(* 4/3 (/ (cos x) (sin x)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (cos.f64 x)) (sin.f64 x))
(* 4/3 (/ (cos x) (sin x)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (cos.f64 x)) (sin.f64 x))
(* 4/3 (/ (cos x) (sin x)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (cos.f64 x)) (sin.f64 x))
(* 4/3 (/ (cos x) (sin x)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (cos.f64 x)) (sin.f64 x))
(* 4/3 (/ (cos x) (sin x)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (cos.f64 x)) (sin.f64 x))
(* 4/3 (/ (cos x) (sin x)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (cos.f64 x)) (sin.f64 x))
(* 4/3 (/ (cos x) (sin x)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (cos.f64 x)) (sin.f64 x))

eval322.0ms (2.5%)

Memory: -13.8MiB live, 622.1MiB allocated
Compiler: Compiled 43 174 to 2 253 computations (94.8% saved)

prune148.0ms (1.2%)

Memory

23.5MiB live, 336.8MiB allocated

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	2 044	12	2 056
Fresh	6	2	8
Picked	2	3	5
Done	0	0	0
Total	2 052	17	2 069

Accuracy

100.0%

Counts

2 069 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.7%	(/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3/4 binary64))
▶	54.8%	(/.f64 (-.f64 #s(literal 4/3 binary64) (/.f64 (cos.f64 x) #s(literal 3/4 binary64))) (sin.f64 x))
✓	55.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
	55.0%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
	99.4%	(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
	31.2%	(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
✓	99.8%	(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
▶	99.7%	(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
▶	49.1%	(/.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x))
▶	48.4%	(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 4 binary64) x))
▶	99.3%	(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
	54.0%	(-.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/4 binary64) (tan.f64 x))))
	54.3%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 3/4 binary64)))
	99.4%	(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
	48.5%	(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/18 binary64)))))
✓	48.5%	(*.f64 #s(literal 2/3 binary64) x)

Compiler

Compiled 313 to 239 computations (23.6% saved)

simplify226.0ms (1.8%)

Memory

-32.8MiB live, 304.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(/.f64 (cos.f64 x) #s(literal 3/4 binary64))
✓	cost-diff	0	(-.f64 #s(literal 4/3 binary64) (/.f64 (cos.f64 x) #s(literal 3/4 binary64)))
✓	cost-diff	6528	(/.f64 (-.f64 #s(literal 4/3 binary64) (/.f64 (cos.f64 x) #s(literal 3/4 binary64))) (sin.f64 x))
✓	cost-diff	0	(/.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
✓	cost-diff	128	(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -1/3 binary64))
✓	cost-diff	0	(+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x)
✓	cost-diff	0	(/.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x))
✓	cost-diff	0	(/.f64 #s(literal 4 binary64) x)
✓	cost-diff	128	(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 4 binary64) x))
✓	cost-diff	0	(*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(sin.f64 (/.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))

Rules

4 882×	`accelerator-lowering-fma.f32`
4 882×	`accelerator-lowering-fma.f64`
2 028×	`div-sub`
1 422×	`-lowering-.f32`
1 422×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	124
1	46	124
2	70	124
3	93	124
4	138	124
5	183	124
6	230	124
7	322	124
8	516	124
9	1041	124
10	1829	124
11	1859	124
12	1897	124
13	2064	124
14	2453	124
15	3065	124
16	3837	124
17	5372	124
18	5889	124
19	6188	124
20	6866	124
21	7540	124
22	7713	124
0	8005	120

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (sin (/ x 2)) (* 3/4 (cos (/ x 2))))
(sin (/ x 2))
(/ x 2)
x
2
(* 3/4 (cos (/ x 2)))
3/4
(cos (/ x 2))
(/ 8/3 (/ 4 x))
8/3
(/ 4 x)
4
x
(/ 8/3 (/ (+ 4 (* (* x x) -1/3)) x))
8/3
(/ (+ 4 (* (* x x) -1/3)) x)
(+ 4 (* (* x x) -1/3))
4
(* (* x x) -1/3)
(* x x)
x
-1/3
(/ 8/3 (/ 2 (tan (/ x 2))))
8/3
(/ 2 (tan (/ x 2)))
2
(tan (/ x 2))
(/ x 2)
x
(/ (- 4/3 (/ (cos x) 3/4)) (sin x))
(- 4/3 (/ (cos x) 3/4))
4/3
(/ (cos x) 3/4)
(cos x)
x
3/4
(sin x)

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

localize264.0ms (2.1%)

Memory

10.2MiB live, 489.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	99.8%	(/.f64 (cos.f64 x) #s(literal 3/4 binary64))
✓	accuracy	82.9%	(/.f64 (-.f64 #s(literal 4/3 binary64) (/.f64 (cos.f64 x) #s(literal 3/4 binary64))) (sin.f64 x))
✓	accuracy	72.4%	(-.f64 #s(literal 4/3 binary64) (/.f64 (cos.f64 x) #s(literal 3/4 binary64)))
✓	accuracy	100.0%	(/.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓	accuracy	99.8%	(/.f64 #s(literal 2 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
✓	accuracy	99.5%	(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -1/3 binary64))
✓	accuracy	99.5%	(/.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x))
✓	accuracy	74.8%	(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x)
✓	accuracy	100.0%	(/.f64 #s(literal 4 binary64) x)
✓	accuracy	99.4%	(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 4 binary64) x))
✓	accuracy	100.0%	(sin.f64 (/.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(cos.f64 (/.f64 x #s(literal 2 binary64)))
✓	accuracy	99.8%	(*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))
✓	accuracy	99.8%	(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))

Samples

94.0ms	135×	0	valid
69.0ms	61×	2	valid
20.0ms	42×	1	valid
15.0ms	18×	3	valid

Compiler

Compiled 133 to 29 computations (78.2% saved)

Precisions

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

ival-cos: 36.0ms (25.7% of total)

ival-div: 24.0ms (17.1% of total)

ival-tan: 21.0ms (15% of total)

ival-sub: 16.0ms (11.4% of total)

const: 15.0ms (10.7% of total)

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

adjust: 7.0ms (5% of total)

ival-mult: 6.0ms (4.3% of total)

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

exact: 1.0ms (0.7% of total)

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

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

series12.0ms (0.1%)

Memory

-12.4MiB live, 26.0MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#<alt (/ (sin (/ x 2)) (* 3/4 (cos (/ x 2))))>
#<alt (sin (/ x 2))>
#<alt (/ x 2)>
#<alt (* 3/4 (cos (/ x 2)))>
#<alt (/ 8/3 (/ 4 x))>
#<alt (/ 4 x)>
#<alt (/ 8/3 (/ (+ 4 (* (* x x) -1/3)) x))>
#<alt (/ (+ 4 (* (* x x) -1/3)) x)>
#<alt (+ 4 (* (* x x) -1/3))>
#<alt (* (* x x) -1/3)>
#<alt (/ 8/3 (/ 2 (tan (/ x 2))))>
#<alt (/ 2 (tan (/ x 2)))>
#<alt (tan (/ x 2))>
#<alt (/ (- 4/3 (/ (cos x) 3/4)) (sin x))>
#<alt (- 4/3 (/ (cos x) 3/4))>
#<alt (/ (cos x) 3/4)>
#<alt (cos x)>
#<alt (cos (/ x 2))>
#<alt (* x x)>
#<alt (sin x)>

Outputs
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/48 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt 3/4>
#<alt (+ 3/4 (* -3/32 (pow x 2)))>
#<alt (+ 3/4 (* (pow x 2) (- (* 1/512 (pow x 2)) 3/32)))>
#<alt (+ 3/4 (* (pow x 2) (- (* (pow x 2) (+ 1/512 (* -1/61440 (pow x 2)))) 3/32)))>
#<alt (* 3/4 (cos (* 1/2 x)))>
#<alt (* 3/4 (cos (* 1/2 x)))>
#<alt (* 3/4 (cos (* 1/2 x)))>
#<alt (* 3/4 (cos (* 1/2 x)))>
#<alt (* 3/4 (cos (* 1/2 x)))>
#<alt (* 3/4 (cos (* 1/2 x)))>
#<alt (* 3/4 (cos (* 1/2 x)))>
#<alt (* 3/4 (cos (* 1/2 x)))>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (/ 4 x)>
#<alt (/ 4 x)>
#<alt (/ 4 x)>
#<alt (/ 4 x)>
#<alt (/ 4 x)>
#<alt (/ 4 x)>
#<alt (/ 4 x)>
#<alt (/ 4 x)>
#<alt (/ 4 x)>
#<alt (/ 4 x)>
#<alt (/ 4 x)>
#<alt (/ 4 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/216 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/216 (* 1/2592 (pow x 2))))))))>
#<alt (/ -8 x)>
#<alt (* -1 (/ (+ 8 (* 96 (/ 1 (pow x 2)))) x))>
#<alt (/ (- (* -1 (/ (+ 96 (* 1152 (/ 1 (pow x 2)))) (pow x 2))) 8) x)>
#<alt (/ (- (* -1 (/ (+ 1152 (* 13824 (/ 1 (pow x 2)))) (pow x 4))) (+ 8 (* 96 (/ 1 (pow x 2))))) x)>
#<alt (/ -8 x)>
#<alt (* -1 (/ (+ 8 (* 96 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 8 (+ (* 96 (/ 1 (pow x 2))) (/ 1152 (pow x 4)))) x))>
#<alt (* -1 (/ (+ 8 (+ (* 96 (/ 1 (pow x 2))) (+ (* 13824 (/ 1 (pow x 6))) (/ 1152 (pow x 4))))) x))>
#<alt (/ 4 x)>
#<alt (/ (+ 4 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 4 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 4 (* -1/3 (pow x 2))) x)>
#<alt (* -1/3 x)>
#<alt (* x (- (* 4 (/ 1 (pow x 2))) 1/3))>
#<alt (* x (- (* 4 (/ 1 (pow x 2))) 1/3))>
#<alt (* x (- (* 4 (/ 1 (pow x 2))) 1/3))>
#<alt (* -1/3 x)>
#<alt (* -1 (* x (- 1/3 (* 4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1/3 (* 4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1/3 (* 4 (/ 1 (pow x 2))))))>
#<alt 4>
#<alt (+ 4 (* -1/3 (pow x 2)))>
#<alt (+ 4 (* -1/3 (pow x 2)))>
#<alt (+ 4 (* -1/3 (pow x 2)))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1/3))>
#<alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1/3))>
#<alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1/3))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1/3))>
#<alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1/3))>
#<alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1/3))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (/ 4 x)>
#<alt (/ (+ 4 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)>
#<alt (/ (+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3))) x)>
#<alt (* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (/ (- 4/3 (* 4/3 (cos x))) (sin x))>
#<alt (/ (- 4/3 (* 4/3 (cos x))) (sin x))>
#<alt (/ (- 4/3 (* 4/3 (cos x))) (sin x))>
#<alt (/ (- 4/3 (* 4/3 (cos x))) (sin x))>
#<alt (/ (- 4/3 (* 4/3 (cos x))) (sin x))>
#<alt (/ (- 4/3 (* 4/3 (cos x))) (sin x))>
#<alt (/ (- 4/3 (* 4/3 (cos x))) (sin x))>
#<alt (/ (- 4/3 (* 4/3 (cos x))) (sin x))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))>
#<alt (- 4/3 (* 4/3 (cos x)))>
#<alt (- 4/3 (* 4/3 (cos x)))>
#<alt (- 4/3 (* 4/3 (cos x)))>
#<alt (- 4/3 (* 4/3 (cos x)))>
#<alt (- 4/3 (* 4/3 (cos x)))>
#<alt (- 4/3 (* 4/3 (cos x)))>
#<alt (- 4/3 (* 4/3 (cos x)))>
#<alt (- 4/3 (* 4/3 (cos x)))>
#<alt 4/3>
#<alt (+ 4/3 (* -2/3 (pow x 2)))>
#<alt (+ 4/3 (* (pow x 2) (- (* 1/18 (pow x 2)) 2/3)))>
#<alt (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/18 (* -1/540 (pow x 2)))) 2/3)))>
#<alt (* 4/3 (cos x))>
#<alt (* 4/3 (cos x))>
#<alt (* 4/3 (cos x))>
#<alt (* 4/3 (cos x))>
#<alt (* 4/3 (cos x))>
#<alt (* 4/3 (cos x))>
#<alt (* 4/3 (cos x))>
#<alt (* 4/3 (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8)))>
#<alt (cos (* 1/2 x))>
#<alt (cos (* 1/2 x))>
#<alt (cos (* 1/2 x))>
#<alt (cos (* 1/2 x))>
#<alt (cos (* 1/2 x))>
#<alt (cos (* 1/2 x))>
#<alt (cos (* 1/2 x))>
#<alt (cos (* 1/2 x))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>

Calls

60 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ (- 4/3 (/ (cos x) 3/4)) (sin x))
1.0ms	x	@	inf	(/ (- 4/3 (/ (cos x) 3/4)) (sin x))
1.0ms	x	@	inf	(/ 8/3 (/ (+ 4 (* (* x x) -1/3)) x))
0.0ms	x	@	inf	(/ (+ 4 (* (* x x) -1/3)) x)
0.0ms	x	@	0	(/ 8/3 (/ (+ 4 (* (* x x) -1/3)) x))

rewrite292.0ms (2.3%)

Memory

20.4MiB live, 696.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 698×	`-lowering-.f32`
4 698×	`-lowering-.f64`
4 332×	`/-lowering-/.f32`
4 332×	`/-lowering-/.f64`
2 944×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	113
1	147	103
2	911	103
0	8791	98

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 827

Calls

Call 1

Inputs
(/ (sin (/ x 2)) (* 3/4 (cos (/ x 2))))
(sin (/ x 2))
(/ x 2)
(* 3/4 (cos (/ x 2)))
(/ 8/3 (/ 4 x))
(/ 4 x)
(/ 8/3 (/ (+ 4 (* (* x x) -1/3)) x))
(/ (+ 4 (* (* x x) -1/3)) x)
(+ 4 (* (* x x) -1/3))
(* (* x x) -1/3)
(/ 8/3 (/ 2 (tan (/ x 2))))
(/ 2 (tan (/ x 2)))
(tan (/ x 2))
(/ (- 4/3 (/ (cos x) 3/4)) (sin x))
(- 4/3 (/ (cos x) 3/4))
(/ (cos x) 3/4)
(cos x)
(cos (/ x 2))
(* x x)
(sin x)

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64))) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal -8/3 binary64) (/.f64 #s(literal -2 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -3/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3/8 binary64))
(/.f64 (/.f64 #s(literal 4/3 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 8/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 8/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -8/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(/.f64 (.f64 #s(literal 8/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 8/3 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 8/3 binary64)) #s(literal -2 binary64))
(/.f64 (.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal -4/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal -4/3 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 8/3 binary64)) (.f64 #s(literal 2 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 8/3 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -8/3 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -4/3 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(*.f64 (/.f64 #s(literal 4/3 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 8/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 8/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 8/3 binary64)))
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(*.f64 #s(literal -4/3 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal -8/3 binary64))
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal -4/3 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 #s(literal -8/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(.f64 #s(literal -1/2 binary64) (.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 8/3 binary64)))
(.f64 (.f64 #s(literal 8/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal -4/3 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(neg.f64 (sin.f64 (/.f64 x #s(literal -2 binary64))))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -2 binary64)))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(neg.f64 (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(/.f64 (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 3/4 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(.f64 (.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -3/4 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -3/4 binary64))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal 3/4 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/2 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2/3 binary64) x))
(neg.f64 (*.f64 #s(literal -2/3 binary64) x))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -2/3 binary64) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 4 binary64) x))
(/.f64 #s(literal -8/3 binary64) (/.f64 #s(literal -4 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 (/.f64 x #s(literal 4 binary64)) #s(literal 3/8 binary64))
(/.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 8/3 binary64)))
(/.f64 (*.f64 #s(literal 8/3 binary64) x) #s(literal 4 binary64))
(/.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 #s(literal -8/3 binary64) x) #s(literal -4 binary64))
(/.f64 (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))
(/.f64 (*.f64 x #s(literal 8/3 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 8/3 binary64)) #s(literal -4 binary64))
(pow.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 2/3 binary64))
(*.f64 #s(literal 8/3 binary64) (/.f64 x #s(literal 4 binary64)))
(.f64 (.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -8/3 binary64) (/.f64 x #s(literal -4 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 2/3 binary64)))
(*.f64 (/.f64 x #s(literal 4 binary64)) #s(literal 8/3 binary64))
(*.f64 #s(literal 2/3 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 #s(literal -2/3 binary64) x))
(*.f64 (/.f64 x #s(literal -4 binary64)) #s(literal -8/3 binary64))
(.f64 #s(literal 1/4 binary64) (.f64 #s(literal 8/3 binary64) x))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 8/3 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 8/3 binary64)))
(.f64 (.f64 #s(literal 8/3 binary64) x) #s(literal 1/4 binary64))
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(/.f64 (-.f64 (.f64 (/.f64 #s(literal 64/27 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 #s(literal 64/27 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 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 27/64 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 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 27/64 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 #s(literal 64/27 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 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 27/64 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 (/.f64 #s(literal 16/9 binary64) (+.f64 #s(literal 4/3 binary64) (/.f64 (cos.f64 x) #s(literal 3/4 binary64)))) (/.f64 #s(literal 16/9 binary64) (+.f64 #s(literal 4/3 binary64) (/.f64 (cos.f64 x) #s(literal 3/4 binary64))))) (.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 4/3 binary64)) (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 4/3 binary64)))) (+.f64 (/.f64 #s(literal 16/9 binary64) (+.f64 #s(literal 4/3 binary64) (/.f64 (cos.f64 x) #s(literal 3/4 binary64)))) (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 4/3 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 262144/19683 binary64) (pow.f64 (/.f64 (cos.f64 x) #s(literal 3/4 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 1 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 #s(literal 4096/729 binary64) (pow.f64 (/.f64 (cos.f64 x) #s(literal 3/4 binary64)) #s(literal 6 binary64))) (pow.f64 (.f64 (cos.f64 x) #s(literal 16/9 binary64)) #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 4096/729 binary64) (pow.f64 (/.f64 (cos.f64 x) #s(literal 3/4 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal 1 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 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 64/27 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 4096/729 binary64) (pow.f64 (/.f64 (cos.f64 x) #s(literal 3/4 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/3 binary64) (/.f64 (cos.f64 x) #s(literal 3/4 binary64))))) (+.f64 #s(literal 256/81 binary64) (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 9/16 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 9/16 binary64)) #s(literal 16/9 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 256/81 binary64) (pow.f64 (/.f64 (cos.f64 x) #s(literal 3/4 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/3 binary64) (/.f64 (cos.f64 x) #s(literal 3/4 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 9/16 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/3 binary64) (/.f64 (cos.f64 x) #s(literal -3/4 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 4/3 binary64) (/.f64 (cos.f64 x) #s(literal -3/4 binary64))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 64/27 binary64) (pow.f64 (/.f64 (cos.f64 x) #s(literal -3/4 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 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 #s(literal 64/27 binary64) (pow.f64 (/.f64 (cos.f64 x) #s(literal -3/4 binary64)) #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 1 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))))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/3 binary64) (/.f64 (cos.f64 x) #s(literal -3/4 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 -9/16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/3 binary64) (/.f64 (cos.f64 x) #s(literal 3/4 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 -9/16 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/3 binary64) (/.f64 (cos.f64 x) #s(literal 3/4 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (cos.f64 x) #s(literal 3/4 binary64)) #s(literal -4/3 binary64)))
(.f64 (+.f64 #s(literal -64/27 binary64) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 27/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -16/9 binary64) (neg.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (cos.f64 x) #s(literal 16/9 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 9/16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (cos.f64 x) #s(literal -3/4 binary64)) #s(literal -4/3 binary64))))
(.f64 (/.f64 #s(literal 1 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 #s(literal 64/27 binary64) (pow.f64 (/.f64 (cos.f64 x) #s(literal -3/4 binary64)) #s(literal 3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/3 binary64) (/.f64 (cos.f64 x) #s(literal 3/4 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 -9/16 binary64))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)) #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 -9/16 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 -9/16 binary64)))) (+.f64 #s(literal 4/3 binary64) (/.f64 (cos.f64 x) #s(literal -3/4 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 64/27 binary64) (pow.f64 (/.f64 (cos.f64 x) #s(literal -3/4 binary64)) #s(literal 3 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 (+.f64 #s(literal 64/27 binary64) (pow.f64 (/.f64 (cos.f64 x) #s(literal -3/4 binary64)) #s(literal 3 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 -9/16 binary64))) (.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 64/27 binary64))) (+.f64 #s(literal 16/9 binary64) (/.f64 (+.f64 (/.f64 (cos.f64 x) #s(literal 3/4 binary64)) #s(literal -4/3 binary64)) (/.f64 #s(literal 3/4 binary64) (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/4 binary64) (cos.f64 x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) #s(literal -3/4 binary64)))
(neg.f64 (/.f64 (cos.f64 x) #s(literal -3/4 binary64)))
(neg.f64 (*.f64 (/.f64 (cos.f64 x) #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (cos.f64 x) #s(literal 3/4 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -3/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (cos.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/4 binary64) (cos.f64 x)))
(pow.f64 (/.f64 #s(literal 3/4 binary64) (cos.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 4/3 binary64) (cos.f64 x))
(*.f64 #s(literal 4/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (cos.f64 x) #s(literal 4/3 binary64))
(*.f64 (/.f64 (cos.f64 x) #s(literal 3/4 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -4/3 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) #s(literal 3/4 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) #s(literal -3/4 binary64)))
(*.f64 #s(literal -4/3 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(*.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (cos.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3/4 binary64) (cos.f64 x)) #s(literal -1/2 binary64)))
(cos.f64 x)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(cos.f64 (/.f64 x #s(literal 2 binary64)))
(cos.f64 (/.f64 x #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(sin.f64 x)
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (sin.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))

simplify470.0ms (3.7%)

Memory

9.3MiB live, 901.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12 362×	`accelerator-lowering-fma.f32`
12 362×	`accelerator-lowering-fma.f64`
5 140×	`+-lowering-+.f64`
5 140×	`+-lowering-+.f32`
3 726×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	255	1700
1	668	1700
2	1676	1689
3	3415	1688
4	6297	1676
0	8242	1564

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))))
(* 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))
(* 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)
3/4
(+ 3/4 (* -3/32 (pow x 2)))
(+ 3/4 (* (pow x 2) (- (* 1/512 (pow x 2)) 3/32)))
(+ 3/4 (* (pow x 2) (- (* (pow x 2) (+ 1/512 (* -1/61440 (pow x 2)))) 3/32)))
(* 3/4 (cos (* 1/2 x)))
(* 3/4 (cos (* 1/2 x)))
(* 3/4 (cos (* 1/2 x)))
(* 3/4 (cos (* 1/2 x)))
(* 3/4 (cos (* 1/2 x)))
(* 3/4 (cos (* 1/2 x)))
(* 3/4 (cos (* 1/2 x)))
(* 3/4 (cos (* 1/2 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)
(/ 4 x)
(/ 4 x)
(/ 4 x)
(/ 4 x)
(/ 4 x)
(/ 4 x)
(/ 4 x)
(/ 4 x)
(/ 4 x)
(/ 4 x)
(/ 4 x)
(/ 4 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/216 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/216 (* 1/2592 (pow x 2))))))))
(/ -8 x)
(* -1 (/ (+ 8 (* 96 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 96 (* 1152 (/ 1 (pow x 2)))) (pow x 2))) 8) x)
(/ (- (* -1 (/ (+ 1152 (* 13824 (/ 1 (pow x 2)))) (pow x 4))) (+ 8 (* 96 (/ 1 (pow x 2))))) x)
(/ -8 x)
(* -1 (/ (+ 8 (* 96 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 8 (+ (* 96 (/ 1 (pow x 2))) (/ 1152 (pow x 4)))) x))
(* -1 (/ (+ 8 (+ (* 96 (/ 1 (pow x 2))) (+ (* 13824 (/ 1 (pow x 6))) (/ 1152 (pow x 4))))) x))
(/ 4 x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(* -1/3 x)
(* x (- (* 4 (/ 1 (pow x 2))) 1/3))
(* x (- (* 4 (/ 1 (pow x 2))) 1/3))
(* x (- (* 4 (/ 1 (pow x 2))) 1/3))
(* -1/3 x)
(* -1 (* x (- 1/3 (* 4 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/3 (* 4 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/3 (* 4 (/ 1 (pow x 2))))))
4
(+ 4 (* -1/3 (pow x 2)))
(+ 4 (* -1/3 (pow x 2)))
(+ 4 (* -1/3 (pow x 2)))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1/3))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1/3))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1/3))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1/3))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1/3))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1/3))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (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))))
(/ 4 x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)
(/ (+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3))) x)
(* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 2 (/ (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))))))))
(/ (- 4/3 (* 4/3 (cos x))) (sin x))
(/ (- 4/3 (* 4/3 (cos x))) (sin x))
(/ (- 4/3 (* 4/3 (cos x))) (sin x))
(/ (- 4/3 (* 4/3 (cos x))) (sin x))
(/ (- 4/3 (* 4/3 (cos x))) (sin x))
(/ (- 4/3 (* 4/3 (cos x))) (sin x))
(/ (- 4/3 (* 4/3 (cos x))) (sin x))
(/ (- 4/3 (* 4/3 (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 (* 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 (* -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
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8)))
(cos (* 1/2 x))
(cos (* 1/2 x))
(cos (* 1/2 x))
(cos (* 1/2 x))
(cos (* 1/2 x))
(cos (* 1/2 x))
(cos (* 1/2 x))
(cos (* 1/2 x))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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 (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/180 binary64) (.f64 (*.f64 x x) #s(literal 17/30240 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 (* -1/48 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal -1/48 binary64)))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 x x) #s(literal 1/3840 binary64))))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 x x) #s(literal -1/645120 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))
(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)))
(* 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))
3/4
#s(literal 3/4 binary64)
(+ 3/4 (* -3/32 (pow x 2)))
(+.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x #s(literal -3/32 binary64))))
(+ 3/4 (* (pow x 2) (- (* 1/512 (pow x 2)) 3/32)))
(+.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -3/32 binary64) (.f64 (.f64 x x) #s(literal 1/512 binary64))))))
(+ 3/4 (* (pow x 2) (- (* (pow x 2) (+ 1/512 (* -1/61440 (pow x 2)))) 3/32)))
(+.f64 #s(literal 3/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -3/32 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) #s(literal -1/61440 binary64)))))))
(* 3/4 (cos (* 1/2 x)))
(.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(* 3/4 (cos (* 1/2 x)))
(.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(* 3/4 (cos (* 1/2 x)))
(.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(* 3/4 (cos (* 1/2 x)))
(.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(* 3/4 (cos (* 1/2 x)))
(.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(* 3/4 (cos (* 1/2 x)))
(.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(* 3/4 (cos (* 1/2 x)))
(.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(* 3/4 (cos (* 1/2 x)))
(.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/216 (pow x 2))))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 (*.f64 x x) #s(literal 1/216 binary64))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/216 (* 1/2592 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (*.f64 x x) #s(literal 1/2592 binary64))))))))
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(* -1 (/ (+ 8 (* 96 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -96 binary64) (*.f64 x x))) x)
(/ (- (* -1 (/ (+ 96 (* 1152 (/ 1 (pow x 2)))) (pow x 2))) 8) x)
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal -96 binary64) (/.f64 #s(literal -1152 binary64) (.f64 x x))) (.f64 x x))) x)
(/ (- (* -1 (/ (+ 1152 (* 13824 (/ 1 (pow x 2)))) (pow x 4))) (+ 8 (* 96 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal -8 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1152 binary64) (/.f64 #s(literal 13824 binary64) (.f64 x x))) (.f64 x x)) #s(literal 96 binary64)))) x)
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(* -1 (/ (+ 8 (* 96 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -96 binary64) (*.f64 x x))) x)
(* -1 (/ (+ 8 (+ (* 96 (/ 1 (pow x 2))) (/ 1152 (pow x 4)))) x))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal -96 binary64) (/.f64 #s(literal -1152 binary64) (.f64 x x))) (.f64 x x))) x)
(* -1 (/ (+ 8 (+ (* 96 (/ 1 (pow x 2))) (+ (* 13824 (/ 1 (pow x 6))) (/ 1152 (pow x 4))))) x))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -96 binary64) (/.f64 #s(literal -1152 binary64) (.f64 x x))) (.f64 x x)) (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -13824 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x)
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* x (- (* 4 (/ 1 (pow x 2))) 1/3))
(+.f64 (/.f64 #s(literal 4 binary64) x) (*.f64 x #s(literal -1/3 binary64)))
(* x (- (* 4 (/ 1 (pow x 2))) 1/3))
(+.f64 (/.f64 #s(literal 4 binary64) x) (*.f64 x #s(literal -1/3 binary64)))
(* x (- (* 4 (/ 1 (pow x 2))) 1/3))
(+.f64 (/.f64 #s(literal 4 binary64) x) (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- 1/3 (* 4 (/ 1 (pow x 2))))))
(+.f64 (/.f64 #s(literal 4 binary64) x) (*.f64 x #s(literal -1/3 binary64)))
(* -1 (* x (- 1/3 (* 4 (/ 1 (pow x 2))))))
(+.f64 (/.f64 #s(literal 4 binary64) x) (*.f64 x #s(literal -1/3 binary64)))
(* -1 (* x (- 1/3 (* 4 (/ 1 (pow x 2))))))
(+.f64 (/.f64 #s(literal 4 binary64) x) (*.f64 x #s(literal -1/3 binary64)))
4
#s(literal 4 binary64)
(+ 4 (* -1/3 (pow x 2)))
(+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
(+ 4 (* -1/3 (pow x 2)))
(+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
(+ 4 (* -1/3 (pow x 2)))
(+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1/3))
(+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1/3))
(+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1/3))
(+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1/3))
(+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1/3))
(+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1/3))
(+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/180 binary64) (.f64 (*.f64 x x) #s(literal 17/30240 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))))
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x)
(/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64))))) x)
(/ (+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3))) x)
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal -1/7560 binary64)))))))) x)
(* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (.f64 #s(literal 2 binary64) (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 (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 (*.f64 x x) #s(literal 17/40320 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 (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/180 binary64) (.f64 (*.f64 x x) #s(literal 17/30240 binary64)))))))))
(/ (- 4/3 (* 4/3 (cos x))) (sin x))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) (sin.f64 x))
(/ (- 4/3 (* 4/3 (cos x))) (sin x))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) (sin.f64 x))
(/ (- 4/3 (* 4/3 (cos x))) (sin x))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) (sin.f64 x))
(/ (- 4/3 (* 4/3 (cos x))) (sin x))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) (sin.f64 x))
(/ (- 4/3 (* 4/3 (cos x))) (sin x))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) (sin.f64 x))
(/ (- 4/3 (* 4/3 (cos x))) (sin x))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) (sin.f64 x))
(/ (- 4/3 (* 4/3 (cos x))) (sin x))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) (sin.f64 x))
(/ (- 4/3 (* 4/3 (cos x))) (sin x))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 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 (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -1/18 binary64)))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/18 binary64) (.f64 x (.f64 x #s(literal 1/540 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) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/18 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/540 binary64) (.f64 (.f64 x x) #s(literal -1/30240 binary64))))))))
(- 4/3 (* 4/3 (cos x)))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
(- 4/3 (* 4/3 (cos x)))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
(- 4/3 (* 4/3 (cos x)))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
(- 4/3 (* 4/3 (cos x)))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
(- 4/3 (* 4/3 (cos x)))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
(- 4/3 (* 4/3 (cos x)))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
(- 4/3 (* 4/3 (cos x)))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
(- 4/3 (* 4/3 (cos x)))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
4/3
#s(literal 4/3 binary64)
(+ 4/3 (* -2/3 (pow x 2)))
(+.f64 #s(literal 4/3 binary64) (.f64 (.f64 x x) #s(literal -2/3 binary64)))
(+ 4/3 (* (pow x 2) (- (* 1/18 (pow x 2)) 2/3)))
(+.f64 #s(literal 4/3 binary64) (.f64 x (.f64 x (+.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal -2/3 binary64)))))
(+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/18 (* -1/540 (pow x 2)))) 2/3)))
(+.f64 #s(literal 4/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 x (.f64 x #s(literal -1/540 binary64))))))))
(* 4/3 (cos x))
(*.f64 #s(literal 4/3 binary64) (cos.f64 x))
(* 4/3 (cos x))
(*.f64 #s(literal 4/3 binary64) (cos.f64 x))
(* 4/3 (cos x))
(*.f64 #s(literal 4/3 binary64) (cos.f64 x))
(* 4/3 (cos x))
(*.f64 #s(literal 4/3 binary64) (cos.f64 x))
(* 4/3 (cos x))
(*.f64 #s(literal 4/3 binary64) (cos.f64 x))
(* 4/3 (cos x))
(*.f64 #s(literal 4/3 binary64) (cos.f64 x))
(* 4/3 (cos x))
(*.f64 #s(literal 4/3 binary64) (cos.f64 x))
(* 4/3 (cos x))
(*.f64 #s(literal 4/3 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 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
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))
(+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/384 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/384 binary64) (.f64 (.f64 x x) #s(literal -1/46080 binary64)))))))
(cos (* 1/2 x))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
(cos (* 1/2 x))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
(cos (* 1/2 x))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
(cos (* 1/2 x))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
(cos (* 1/2 x))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
(cos (* 1/2 x))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
(cos (* 1/2 x))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
(cos (* 1/2 x))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal -1/5040 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)

eval145.0ms (1.1%)

Memory: 20.7MiB live, 381.6MiB allocated
Compiler: Compiled 19 816 to 2 478 computations (87.5% saved)

prune124.0ms (1%)

Memory

-3.0MiB live, 313.6MiB allocated

Pruning

32 alts after pruning (26 fresh and 6 done)

	Pruned	Kept	Total
New	1 115	20	1 135
Fresh	3	6	9
Picked	2	3	5
Done	0	3	3
Total	1 120	32	1 152

Accuracy

100.0%

Counts

1 152 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
	49.4%	(/.f64 (/.f64 x (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))) #s(literal 3/8 binary64))
	48.7%	(/.f64 (/.f64 x #s(literal 4 binary64)) #s(literal 3/8 binary64))
✓	54.8%	(/.f64 (-.f64 #s(literal 4/3 binary64) (/.f64 (cos.f64 x) #s(literal 3/4 binary64))) (sin.f64 x))
✓	55.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
	55.0%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
	49.2%	(/.f64 (.f64 x #s(literal 8/3 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
✓	99.8%	(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
	47.8%	(/.f64 #s(literal 8/3 binary64) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/9 binary64))))) x))
	49.1%	(/.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal -1/3 binary64)) x)) x))
	48.2%	(/.f64 #s(literal 8/3 binary64) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))))
▶	2.5%	(/.f64 #s(literal 8/3 binary64) (/.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
✓	48.4%	(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 4 binary64) x))
✓	99.3%	(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
▶	47.8%	(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) x) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
	47.8%	(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal -4/3 binary64)))))))
	2.6%	(/.f64 #s(literal 8/3 binary64) (*.f64 x #s(literal -1/3 binary64)))
	49.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -4 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x) #s(literal -8/3 binary64)))
	48.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
	48.4%	(/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 8/3 binary64)))
▶	2.6%	(/.f64 #s(literal -8 binary64) x)
	54.0%	(-.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/4 binary64) (tan.f64 x))))
	54.3%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 3/4 binary64)))
	48.3%	(.f64 (/.f64 (.f64 #s(literal 8/3 binary64) x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -16 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal -4 binary64)))
	48.2%	(.f64 (/.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) x)) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
	49.2%	(.f64 (/.f64 #s(literal 8/3 binary64) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))) x)
▶	48.3%	(.f64 (.f64 x (/.f64 #s(literal 8/3 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))))
	47.8%	(.f64 (.f64 #s(literal 8/3 binary64) (/.f64 x (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -4/3 binary64)))))
	99.4%	(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
	48.5%	(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/18 binary64)))))
✓	48.5%	(*.f64 #s(literal 2/3 binary64) x)

Compiler

Compiled 898 to 603 computations (32.9% saved)

simplify339.0ms (2.6%)

Memory

28.5MiB live, 457.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) x)
✓	cost-diff	0	(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) x) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
✓	cost-diff	256	(.f64 (/.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) x) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
✓	cost-diff	1408	(/.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) x) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 8/3 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))))
✓	cost-diff	0	(.f64 x (/.f64 #s(literal 8/3 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/9 binary64)))))
✓	cost-diff	128	(.f64 (.f64 x (/.f64 #s(literal 8/3 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -1/3 binary64))
✓	cost-diff	128	(/.f64 #s(literal 8/3 binary64) (/.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
✓	cost-diff	256	(/.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
✓	cost-diff	0	(/.f64 #s(literal -8 binary64) x)
✓	cost-diff	0	(/.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(sin.f64 (/.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
✓	cost-diff	0	(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64))))

Rules

7 578×	`accelerator-lowering-fma.f32`
7 578×	`accelerator-lowering-fma.f64`
4 564×	`-lowering-.f32`
4 564×	`-lowering-.f64`
3 036×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	284
1	82	252
2	234	208
3	653	196
4	2118	196
5	5547	196
6	7035	196
7	7549	196
0	8002	185

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ (sin (/ x 2)) 3/4) (cos (/ x 2)))
(/ (sin (/ x 2)) 3/4)
(sin (/ x 2))
(/ x 2)
x
2
3/4
(cos (/ x 2))
(/ -8 x)
-8
x
(/ 8/3 (/ (* (* x x) -1/3) x))
8/3
(/ (* (* x x) -1/3) x)
(* (* x x) -1/3)
(* x x)
x
-1/3
(* (* x (/ 8/3 (+ 16 (* (* x (* x (* x x))) -1/9)))) (+ 4 (* (* x x) 1/3)))
(* x (/ 8/3 (+ 16 (* (* x (* x (* x x))) -1/9))))
x
(/ 8/3 (+ 16 (* (* x (* x (* x x))) -1/9)))
8/3
(+ 16 (* (* x (* x (* x x))) -1/9))
16
(* (* x (* x (* x x))) -1/9)
(* x (* x (* x x)))
(* x (* x x))
(* x x)
-1/9
(+ 4 (* (* x x) 1/3))
4
(* (* x x) 1/3)
1/3
(/ 8/3 (* (/ (/ (+ 16 (* (* x (* x (* x x))) -1/9)) x) (+ 16 (* (* x (* x (* x x))) -1/9))) (+ 4 (* (* x x) -1/3))))
8/3
(* (/ (/ (+ 16 (* (* x (* x (* x x))) -1/9)) x) (+ 16 (* (* x (* x (* x x))) -1/9))) (+ 4 (* (* x x) -1/3)))
(/ (/ (+ 16 (* (* x (* x (* x x))) -1/9)) x) (+ 16 (* (* x (* x (* x x))) -1/9)))
(/ (+ 16 (* (* x (* x (* x x))) -1/9)) x)
(+ 16 (* (* x (* x (* x x))) -1/9))
16
(* (* x (* x (* x x))) -1/9)
(* x (* x (* x x)))
x
(* x (* x x))
(* x x)
-1/9
(+ 4 (* (* x x) -1/3))
4
(* (* x x) -1/3)
-1/3

Outputs
(/ (/ (sin (/ x 2)) 3/4) (cos (/ x 2)))
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/ (sin (/ x 2)) 3/4)
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(sin (/ x 2))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(/ x 2)
(/.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
3/4
#s(literal 3/4 binary64)
(cos (/ x 2))
(cos.f64 (/.f64 x #s(literal 2 binary64)))
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
-8
#s(literal -8 binary64)
x
(/ 8/3 (/ (* (* x x) -1/3) x))
(/.f64 #s(literal -8 binary64) x)
8/3
#s(literal 8/3 binary64)
(/ (* (* x x) -1/3) x)
(*.f64 x #s(literal -1/3 binary64))
(* (* x x) -1/3)
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* x x)
(*.f64 x x)
x
-1/3
#s(literal -1/3 binary64)
(* (* x (/ 8/3 (+ 16 (* (* x (* x (* x x))) -1/9)))) (+ 4 (* (* x x) 1/3)))
(/.f64 (.f64 x (+.f64 #s(literal 32/3 binary64) (.f64 x (.f64 x #s(literal 8/9 binary64))))) (+.f64 #s(literal 16 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/9 binary64))))))
(* x (/ 8/3 (+ 16 (* (* x (* x (* x x))) -1/9))))
(/.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 #s(literal 16 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/9 binary64))))) x))
x
(/ 8/3 (+ 16 (* (* x (* x (* x x))) -1/9)))
(/.f64 #s(literal 8/3 binary64) (+.f64 #s(literal 16 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/9 binary64))))))
8/3
#s(literal 8/3 binary64)
(+ 16 (* (* x (* x (* x x))) -1/9))
(+.f64 #s(literal 16 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/9 binary64)))))
16
#s(literal 16 binary64)
(* (* x (* x (* x x))) -1/9)
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/9 binary64))))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
-1/9
#s(literal -1/9 binary64)
(+ 4 (* (* x x) 1/3))
(+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
4
#s(literal 4 binary64)
(* (* x x) 1/3)
(.f64 x (.f64 x #s(literal 1/3 binary64)))
1/3
#s(literal 1/3 binary64)
(/ 8/3 (* (/ (/ (+ 16 (* (* x (* x (* x x))) -1/9)) x) (+ 16 (* (* x (* x (* x x))) -1/9))) (+ 4 (* (* x x) -1/3))))
(/.f64 #s(literal 8/3 binary64) (+.f64 (/.f64 #s(literal 4 binary64) x) (*.f64 x #s(literal -1/3 binary64))))
8/3
#s(literal 8/3 binary64)
(* (/ (/ (+ 16 (* (* x (* x (* x x))) -1/9)) x) (+ 16 (* (* x (* x (* x x))) -1/9))) (+ 4 (* (* x x) -1/3)))
(+.f64 (/.f64 #s(literal 4 binary64) x) (*.f64 x #s(literal -1/3 binary64)))
(/ (/ (+ 16 (* (* x (* x (* x x))) -1/9)) x) (+ 16 (* (* x (* x (* x x))) -1/9)))
(/.f64 #s(literal 1 binary64) x)
(/ (+ 16 (* (* x (* x (* x x))) -1/9)) x)
(/.f64 (+.f64 #s(literal 16 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/9 binary64))))) x)
(+ 16 (* (* x (* x (* x x))) -1/9))
(+.f64 #s(literal 16 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/9 binary64)))))
16
#s(literal 16 binary64)
(* (* x (* x (* x x))) -1/9)
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/9 binary64))))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
x
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
-1/9
#s(literal -1/9 binary64)
(+ 4 (* (* x x) -1/3))
(+.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(* (* x x) -1/3)
(.f64 (.f64 x x) #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)

localize301.0ms (2.3%)

Memory

-10.5MiB live, 264.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) x) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
✓	accuracy	96.4%	(/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) x)
✓	accuracy	74.8%	(.f64 (/.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) x) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
✓	accuracy	61.0%	(/.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) x) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/3 binary64))
✓	accuracy	95.3%	(.f64 x (/.f64 #s(literal 8/3 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/9 binary64)))))
✓	accuracy	65.7%	(.f64 (.f64 x (/.f64 #s(literal 8/3 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -1/3 binary64))
✓	accuracy	99.5%	(/.f64 #s(literal 8/3 binary64) (/.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
✓	accuracy	57.9%	(/.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
✓	accuracy	100.0%	(/.f64 #s(literal -8 binary64) x)
✓	accuracy	100.0%	(sin.f64 (/.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(cos.f64 (/.f64 x #s(literal 2 binary64)))
✓	accuracy	99.8%	(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
✓	accuracy	99.7%	(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64))))

Samples

86.0ms

256×

valid

Compiler

Compiled 328 to 36 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-div: 16.0ms (27.5% of total)

ival-mult: 13.0ms (22.4% of total)

const: 12.0ms (20.6% of total)

ival-sin: 8.0ms (13.8% of total)

ival-cos: 5.0ms (8.6% of total)

ival-add: 3.0ms (5.2% of total)

exact: 1.0ms (1.7% of total)

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

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

series42.0ms (0.3%)

Memory

-12.1MiB live, 25.1MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#<alt (/ (/ (sin (/ x 2)) 3/4) (cos (/ x 2)))>
#<alt (/ (sin (/ x 2)) 3/4)>
#<alt (sin (/ x 2))>
#<alt (/ x 2)>
#<alt (/ -8 x)>
#<alt (/ (* (* x x) -1/3) x)>
#<alt (/ 8/3 (/ (* (* x x) -1/3) x))>
#<alt (* (* x x) -1/3)>
#<alt (* x x)>
#<alt (* (* x (/ 8/3 (+ 16 (* (* x (* x (* x x))) -1/9)))) (+ 4 (* (* x x) 1/3)))>
#<alt (* x (/ 8/3 (+ 16 (* (* x (* x (* x x))) -1/9))))>
#<alt (/ 8/3 (+ 16 (* (* x (* x (* x x))) -1/9)))>
#<alt (+ 16 (* (* x (* x (* x x))) -1/9))>
#<alt (/ (/ (+ 16 (* (* x (* x (* x x))) -1/9)) x) (+ 16 (* (* x (* x (* x x))) -1/9)))>
#<alt (* (/ (/ (+ 16 (* (* x (* x (* x x))) -1/9)) x) (+ 16 (* (* x (* x (* x x))) -1/9))) (+ 4 (* (* x x) -1/3)))>
#<alt (/ 8/3 (* (/ (/ (+ 16 (* (* x (* x (* x x))) -1/9)) x) (+ 16 (* (* x (* x (* x x))) -1/9))) (+ 4 (* (* x x) -1/3))))>
#<alt (/ (+ 16 (* (* x (* x (* x x))) -1/9)) x)>
#<alt (cos (/ x 2))>
#<alt (* (* x x) 1/3)>
#<alt (* x (* x x))>

Outputs
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* -1/36 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/36))))>
#<alt (* x (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/483840 (pow x 2)))) 1/36))))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/48 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (/ -8 x)>
#<alt (/ -8 x)>
#<alt (/ -8 x)>
#<alt (/ -8 x)>
#<alt (/ -8 x)>
#<alt (/ -8 x)>
#<alt (/ -8 x)>
#<alt (/ -8 x)>
#<alt (/ -8 x)>
#<alt (/ -8 x)>
#<alt (/ -8 x)>
#<alt (/ -8 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (/ -8 x)>
#<alt (/ -8 x)>
#<alt (/ -8 x)>
#<alt (/ -8 x)>
#<alt (/ -8 x)>
#<alt (/ -8 x)>
#<alt (/ -8 x)>
#<alt (/ -8 x)>
#<alt (/ -8 x)>
#<alt (/ -8 x)>
#<alt (/ -8 x)>
#<alt (/ -8 x)>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/216 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/216 (* 1/2592 (pow x 2))))))))>
#<alt (/ -8 x)>
#<alt (* -1 (/ (+ 8 (* 96 (/ 1 (pow x 2)))) x))>
#<alt (/ (- (* -1 (/ (+ 96 (* 1152 (/ 1 (pow x 2)))) (pow x 2))) 8) x)>
#<alt (/ (- (* -1 (/ (+ 1152 (* 13824 (/ 1 (pow x 2)))) (pow x 4))) (+ 8 (* 96 (/ 1 (pow x 2))))) x)>
#<alt (/ -8 x)>
#<alt (* -1 (/ (+ 8 (* 96 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 8 (+ (* 96 (/ 1 (pow x 2))) (/ 1152 (pow x 4)))) x))>
#<alt (* -1 (/ (+ 8 (+ (* 96 (/ 1 (pow x 2))) (+ (* 13824 (/ 1 (pow x 6))) (/ 1152 (pow x 4))))) x))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/864 (pow x 4))))>
#<alt (* x (+ 1/6 (* (pow x 4) (+ 1/864 (* 1/124416 (pow x 4))))))>
#<alt (* x (+ 1/6 (* (pow x 4) (+ 1/864 (* (pow x 4) (+ 1/124416 (* 1/17915904 (pow x 4))))))))>
#<alt (/ -24 (pow x 3))>
#<alt (* -1 (/ (+ 24 (* 3456 (/ 1 (pow x 4)))) (pow x 3)))>
#<alt (/ (- (* -1 (/ (+ 3456 (* 497664 (/ 1 (pow x 4)))) (pow x 4))) 24) (pow x 3))>
#<alt (/ (- (* -1 (/ (+ 497664 (* 71663616 (/ 1 (pow x 4)))) (pow x 8))) (+ 24 (* 3456 (/ 1 (pow x 4))))) (pow x 3))>
#<alt (/ -24 (pow x 3))>
#<alt (* -1 (/ (+ 24 (* 3456 (/ 1 (pow x 4)))) (pow x 3)))>
#<alt (* -1 (/ (+ 24 (+ (* 3456 (/ 1 (pow x 4))) (/ 497664 (pow x 8)))) (pow x 3)))>
#<alt (* -1 (/ (+ 24 (+ (* 3456 (/ 1 (pow x 4))) (+ (* 71663616 (/ 1 (pow x 12))) (/ 497664 (pow x 8))))) (pow x 3)))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/864 (pow x 4)))>
#<alt (+ 1/6 (* (pow x 4) (+ 1/864 (* 1/124416 (pow x 4)))))>
#<alt (+ 1/6 (* (pow x 4) (+ 1/864 (* (pow x 4) (+ 1/124416 (* 1/17915904 (pow x 4)))))))>
#<alt (/ -24 (pow x 4))>
#<alt (* -1 (/ (+ 24 (* 3456 (/ 1 (pow x 4)))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 3456 (* 497664 (/ 1 (pow x 4)))) (pow x 4))) 24) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 497664 (* 71663616 (/ 1 (pow x 4)))) (pow x 8))) (+ 24 (* 3456 (/ 1 (pow x 4))))) (pow x 4))>
#<alt (/ -24 (pow x 4))>
#<alt (* -1 (/ (+ 24 (* 3456 (/ 1 (pow x 4)))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 3456 (* 497664 (/ 1 (pow x 4)))) (pow x 4))) 24) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 497664 (* 71663616 (/ 1 (pow x 4)))) (pow x 8))) (+ 24 (* 3456 (/ 1 (pow x 4))))) (pow x 4))>
#<alt 16>
#<alt (+ 16 (* -1/9 (pow x 4)))>
#<alt (+ 16 (* -1/9 (pow x 4)))>
#<alt (+ 16 (* -1/9 (pow x 4)))>
#<alt (* -1/9 (pow x 4))>
#<alt (* (pow x 4) (- (* 16 (/ 1 (pow x 4))) 1/9))>
#<alt (* (pow x 4) (- (* 16 (/ 1 (pow x 4))) 1/9))>
#<alt (* (pow x 4) (- (* 16 (/ 1 (pow x 4))) 1/9))>
#<alt (* -1/9 (pow x 4))>
#<alt (* (pow x 4) (- (* 16 (/ 1 (pow x 4))) 1/9))>
#<alt (* (pow x 4) (- (* 16 (/ 1 (pow x 4))) 1/9))>
#<alt (* (pow x 4) (- (* 16 (/ 1 (pow x 4))) 1/9))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 4 x)>
#<alt (/ (+ 4 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 4 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 4 (* -1/3 (pow x 2))) x)>
#<alt (* -1/3 x)>
#<alt (* x (- (* 4 (/ 1 (pow x 2))) 1/3))>
#<alt (* x (- (* 4 (/ 1 (pow x 2))) 1/3))>
#<alt (* x (- (* 4 (/ 1 (pow x 2))) 1/3))>
#<alt (* -1/3 x)>
#<alt (* -1 (* x (- 1/3 (* 4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1/3 (* 4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1/3 (* 4 (/ 1 (pow x 2))))))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/216 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/216 (* 1/2592 (pow x 2))))))))>
#<alt (/ -8 x)>
#<alt (* -1 (/ (+ 8 (* 96 (/ 1 (pow x 2)))) x))>
#<alt (/ (- (* -1 (/ (+ 96 (* 1152 (/ 1 (pow x 2)))) (pow x 2))) 8) x)>
#<alt (/ (- (* -1 (/ (+ 1152 (* 13824 (/ 1 (pow x 2)))) (pow x 4))) (+ 8 (* 96 (/ 1 (pow x 2))))) x)>
#<alt (/ -8 x)>
#<alt (* -1 (/ (+ 8 (* 96 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 8 (+ (* 96 (/ 1 (pow x 2))) (/ 1152 (pow x 4)))) x))>
#<alt (* -1 (/ (+ 8 (+ (* 96 (/ 1 (pow x 2))) (+ (* 13824 (/ 1 (pow x 6))) (/ 1152 (pow x 4))))) x))>
#<alt (/ 16 x)>
#<alt (/ (+ 16 (* -1/9 (pow x 4))) x)>
#<alt (/ (+ 16 (* -1/9 (pow x 4))) x)>
#<alt (/ (+ 16 (* -1/9 (pow x 4))) x)>
#<alt (* -1/9 (pow x 3))>
#<alt (* (pow x 3) (- (* 16 (/ 1 (pow x 4))) 1/9))>
#<alt (* (pow x 3) (- (* 16 (/ 1 (pow x 4))) 1/9))>
#<alt (* (pow x 3) (- (* 16 (/ 1 (pow x 4))) 1/9))>
#<alt (* -1/9 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/9 (* 16 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 3) (- 1/9 (* 16 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 3) (- 1/9 (* 16 (/ 1 (pow x 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8)))>
#<alt (cos (* 1/2 x))>
#<alt (cos (* 1/2 x))>
#<alt (cos (* 1/2 x))>
#<alt (cos (* 1/2 x))>
#<alt (cos (* 1/2 x))>
#<alt (cos (* 1/2 x))>
#<alt (cos (* 1/2 x))>
#<alt (cos (* 1/2 x))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>

Calls

60 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(* x (/ 8/3 (+ 16 (* (* x (* x (* x x))) -1/9))))
0.0ms	x	@	0	(* x (/ 8/3 (+ 16 (* (* x (* x (* x x))) -1/9))))
0.0ms	x	@	inf	(* (* x (/ 8/3 (+ 16 (* (* x (* x (* x x))) -1/9)))) (+ 4 (* (* x x) 1/3)))
0.0ms	x	@	-inf	(* x (/ 8/3 (+ 16 (* (* x (* x (* x x))) -1/9))))
0.0ms	x	@	0	(/ -8 x)

rewrite558.0ms (4.4%)

Memory

-23.5MiB live, 815.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 568×	`accelerator-lowering-fma.f32`
4 568×	`accelerator-lowering-fma.f64`
4 176×	`/-lowering-/.f32`
4 176×	`/-lowering-/.f64`
4 094×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	193
1	187	173
2	1507	112
0	9024	105

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1 132

Calls

Call 1

Inputs
(/ (/ (sin (/ x 2)) 3/4) (cos (/ x 2)))
(/ (sin (/ x 2)) 3/4)
(sin (/ x 2))
(/ x 2)
(/ -8 x)
(/ (* (* x x) -1/3) x)
(/ 8/3 (/ (* (* x x) -1/3) x))
(* (* x x) -1/3)
(* x x)
(* (* x (/ 8/3 (+ 16 (* (* x (* x (* x x))) -1/9)))) (+ 4 (* (* x x) 1/3)))
(* x (/ 8/3 (+ 16 (* (* x (* x (* x x))) -1/9))))
(/ 8/3 (+ 16 (* (* x (* x (* x x))) -1/9)))
(+ 16 (* (* x (* x (* x x))) -1/9))
(/ (/ (+ 16 (* (* x (* x (* x x))) -1/9)) x) (+ 16 (* (* x (* x (* x x))) -1/9)))
(* (/ (/ (+ 16 (* (* x (* x (* x x))) -1/9)) x) (+ 16 (* (* x (* x (* x x))) -1/9))) (+ 4 (* (* x x) -1/3)))
(/ 8/3 (* (/ (/ (+ 16 (* (* x (* x (* x x))) -1/9)) x) (+ 16 (* (* x (* x (* x x))) -1/9))) (+ 4 (* (* x x) -1/3))))
(/ (+ 16 (* (* x (* x (* x x))) -1/9)) x)
(cos (/ x 2))
(* (* x x) 1/3)
(* x (* x x))

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal -4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64))) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64))))
(neg.f64 (*.f64 #s(literal -4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(neg.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64))))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64))))
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/4 binary64) (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -3/4 binary64))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(/.f64 (neg.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal 3/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))) #s(literal -1 binary64))
(.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)))
(*.f64 #s(literal 4/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(*.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -4/3 binary64))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 4/3 binary64))
(*.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal -4/3 binary64))
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -4/3 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 4/3 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(neg.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(neg.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -3/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(pow.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -4/3 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)))
(*.f64 #s(literal 4/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 4/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(neg.f64 (sin.f64 (/.f64 x #s(literal -2 binary64))))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -2 binary64)))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal -8 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) x))
(neg.f64 (/.f64 #s(literal 8 binary64) x))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) x)))
(neg.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x #s(literal -8 binary64))))
(/.f64 x (/.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) #s(literal 8/3 binary64)))
(/.f64 #s(literal -8 binary64) x)
(/.f64 #s(literal 8/3 binary64) (*.f64 x #s(literal -1/3 binary64)))
(/.f64 #s(literal -8/3 binary64) (*.f64 x #s(literal 1/3 binary64)))
(/.f64 #s(literal 8 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -8 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 #s(literal 8/3 binary64) (*.f64 x x))))
(/.f64 (.f64 x #s(literal 8/3 binary64)) (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(/.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 x #s(literal 8 binary64)))
(/.f64 (.f64 x #s(literal -8/3 binary64)) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (/.f64 #s(literal 8/3 binary64) (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) x))
(/.f64 (/.f64 #s(literal 8/3 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (/.f64 #s(literal 8/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) x))
(pow.f64 (/.f64 x #s(literal -8 binary64)) #s(literal -1 binary64))
(.f64 x (/.f64 #s(literal -8 binary64) (.f64 x x)))
(*.f64 #s(literal -8 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 #s(literal -8 binary64) x) #s(literal 1 binary64))
(.f64 #s(literal -8/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/3 binary64))))
(*.f64 #s(literal 8 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/3 binary64))) #s(literal 8/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -8 binary64))
(.f64 (.f64 x #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/3 binary64)))))
(.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) x)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) x))
(.f64 (/.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal 8/3 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/3 binary64)))) (.f64 x #s(literal 8/3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 8/3 binary64)) #s(literal -1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)) #s(literal -16 binary64))))) (+.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/729 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (+.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))) #s(literal -1/81 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)) #s(literal -16 binary64)))) x) (+.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/729 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) x) (+.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))) #s(literal -1/81 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)) #s(literal -16 binary64)))) (/.f64 (+.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))) #s(literal -1/729 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) (/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/81 binary64))) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))))
(/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/81 binary64))) (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/9 binary64))) x))
(/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/81 binary64))) (.f64 x (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/9 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal -16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))))
(/.f64 (+.f64 #s(literal -4096 binary64) (neg.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/729 binary64)))) (neg.f64 (.f64 x (+.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)) #s(literal -16 binary64)))))))
(/.f64 (+.f64 #s(literal -4096 binary64) (neg.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/729 binary64)))) (neg.f64 (.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)) #s(literal -16 binary64)))) x)))
(/.f64 (+.f64 #s(literal -256 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/81 binary64)))) (neg.f64 (.f64 x (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/9 binary64))))))
(/.f64 (+.f64 #s(literal -256 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/81 binary64)))) (neg.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/9 binary64))) x)))
(/.f64 (/.f64 (+.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/729 binary64))) x) (+.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)) (+.f64 (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/9 binary64)) #s(literal -16 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/81 binary64))) x) (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/729 binary64))) x)) (+.f64 #s(literal -256 binary64) (neg.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)) (+.f64 (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/9 binary64)) #s(literal -16 binary64))))))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/81 binary64))) x)) (+.f64 #s(literal -16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))))
(pow.f64 (/.f64 x (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/9 binary64))) x) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal -16 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/9 binary64))) (/.f64 #s(literal -1 binary64) x))
(.f64 (+.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)) (+.f64 (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/9 binary64)) #s(literal -16 binary64)))))))
(.f64 (+.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)) (+.f64 (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/9 binary64)) #s(literal -16 binary64)))) x)))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/9 binary64))) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/9 binary64))))
(.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/81 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))))))
(.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/81 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) x)))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -16 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/9 binary64))) x))
(.f64 (/.f64 (+.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/729 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)) #s(literal -16 binary64))))))
(.f64 (/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/81 binary64))) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -16 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/9 binary64)))))
(.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/729 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)) #s(literal -16 binary64))))))
(.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/81 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -16 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/9 binary64)))))
(.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/9 binary64)))) #s(literal -1/2 binary64)))
(cos.f64 (/.f64 x #s(literal 2 binary64)))
(cos.f64 (/.f64 x #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x #s(literal -1/3 binary64))))
(neg.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)) (+.f64 #s(literal 0 binary64) (.f64 x (.f64 x #s(literal -1/3 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (.f64 #s(literal 0 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(.f64 (.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) x))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal -1/3 binary64)))
(.f64 (.f64 x #s(literal 1/3 binary64)) x)
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1/3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))

simplify535.0ms (4.2%)

Memory

25.5MiB live, 781.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 702×	`accelerator-lowering-fma.f32`
11 702×	`accelerator-lowering-fma.f64`
4 386×	`-lowering-.f32`
4 386×	`-lowering-.f64`
4 066×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	235	1650
1	621	1650
2	1603	1629
3	4044	1626
0	8122	1563

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))))
(* 2/3 x)
(* x (+ 2/3 (* -1/36 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/36))))
(* x (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/483840 (pow x 2)))) 1/36))))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 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))
(* 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)
(/ -8 x)
(/ -8 x)
(/ -8 x)
(/ -8 x)
(/ -8 x)
(/ -8 x)
(/ -8 x)
(/ -8 x)
(/ -8 x)
(/ -8 x)
(/ -8 x)
(/ -8 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(/ -8 x)
(/ -8 x)
(/ -8 x)
(/ -8 x)
(/ -8 x)
(/ -8 x)
(/ -8 x)
(/ -8 x)
(/ -8 x)
(/ -8 x)
(/ -8 x)
(/ -8 x)
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/216 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/216 (* 1/2592 (pow x 2))))))))
(/ -8 x)
(* -1 (/ (+ 8 (* 96 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 96 (* 1152 (/ 1 (pow x 2)))) (pow x 2))) 8) x)
(/ (- (* -1 (/ (+ 1152 (* 13824 (/ 1 (pow x 2)))) (pow x 4))) (+ 8 (* 96 (/ 1 (pow x 2))))) x)
(/ -8 x)
(* -1 (/ (+ 8 (* 96 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 8 (+ (* 96 (/ 1 (pow x 2))) (/ 1152 (pow x 4)))) x))
(* -1 (/ (+ 8 (+ (* 96 (/ 1 (pow x 2))) (+ (* 13824 (/ 1 (pow x 6))) (/ 1152 (pow x 4))))) x))
(* 1/6 x)
(* x (+ 1/6 (* 1/864 (pow x 4))))
(* x (+ 1/6 (* (pow x 4) (+ 1/864 (* 1/124416 (pow x 4))))))
(* x (+ 1/6 (* (pow x 4) (+ 1/864 (* (pow x 4) (+ 1/124416 (* 1/17915904 (pow x 4))))))))
(/ -24 (pow x 3))
(* -1 (/ (+ 24 (* 3456 (/ 1 (pow x 4)))) (pow x 3)))
(/ (- (* -1 (/ (+ 3456 (* 497664 (/ 1 (pow x 4)))) (pow x 4))) 24) (pow x 3))
(/ (- (* -1 (/ (+ 497664 (* 71663616 (/ 1 (pow x 4)))) (pow x 8))) (+ 24 (* 3456 (/ 1 (pow x 4))))) (pow x 3))
(/ -24 (pow x 3))
(* -1 (/ (+ 24 (* 3456 (/ 1 (pow x 4)))) (pow x 3)))
(* -1 (/ (+ 24 (+ (* 3456 (/ 1 (pow x 4))) (/ 497664 (pow x 8)))) (pow x 3)))
(* -1 (/ (+ 24 (+ (* 3456 (/ 1 (pow x 4))) (+ (* 71663616 (/ 1 (pow x 12))) (/ 497664 (pow x 8))))) (pow x 3)))
1/6
(+ 1/6 (* 1/864 (pow x 4)))
(+ 1/6 (* (pow x 4) (+ 1/864 (* 1/124416 (pow x 4)))))
(+ 1/6 (* (pow x 4) (+ 1/864 (* (pow x 4) (+ 1/124416 (* 1/17915904 (pow x 4)))))))
(/ -24 (pow x 4))
(* -1 (/ (+ 24 (* 3456 (/ 1 (pow x 4)))) (pow x 4)))
(/ (- (* -1 (/ (+ 3456 (* 497664 (/ 1 (pow x 4)))) (pow x 4))) 24) (pow x 4))
(/ (- (* -1 (/ (+ 497664 (* 71663616 (/ 1 (pow x 4)))) (pow x 8))) (+ 24 (* 3456 (/ 1 (pow x 4))))) (pow x 4))
(/ -24 (pow x 4))
(* -1 (/ (+ 24 (* 3456 (/ 1 (pow x 4)))) (pow x 4)))
(/ (- (* -1 (/ (+ 3456 (* 497664 (/ 1 (pow x 4)))) (pow x 4))) 24) (pow x 4))
(/ (- (* -1 (/ (+ 497664 (* 71663616 (/ 1 (pow x 4)))) (pow x 8))) (+ 24 (* 3456 (/ 1 (pow x 4))))) (pow x 4))
16
(+ 16 (* -1/9 (pow x 4)))
(+ 16 (* -1/9 (pow x 4)))
(+ 16 (* -1/9 (pow x 4)))
(* -1/9 (pow x 4))
(* (pow x 4) (- (* 16 (/ 1 (pow x 4))) 1/9))
(* (pow x 4) (- (* 16 (/ 1 (pow x 4))) 1/9))
(* (pow x 4) (- (* 16 (/ 1 (pow x 4))) 1/9))
(* -1/9 (pow x 4))
(* (pow x 4) (- (* 16 (/ 1 (pow x 4))) 1/9))
(* (pow x 4) (- (* 16 (/ 1 (pow x 4))) 1/9))
(* (pow x 4) (- (* 16 (/ 1 (pow x 4))) 1/9))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 4 x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(* -1/3 x)
(* x (- (* 4 (/ 1 (pow x 2))) 1/3))
(* x (- (* 4 (/ 1 (pow x 2))) 1/3))
(* x (- (* 4 (/ 1 (pow x 2))) 1/3))
(* -1/3 x)
(* -1 (* x (- 1/3 (* 4 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/3 (* 4 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/3 (* 4 (/ 1 (pow x 2))))))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/216 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/216 (* 1/2592 (pow x 2))))))))
(/ -8 x)
(* -1 (/ (+ 8 (* 96 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 96 (* 1152 (/ 1 (pow x 2)))) (pow x 2))) 8) x)
(/ (- (* -1 (/ (+ 1152 (* 13824 (/ 1 (pow x 2)))) (pow x 4))) (+ 8 (* 96 (/ 1 (pow x 2))))) x)
(/ -8 x)
(* -1 (/ (+ 8 (* 96 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 8 (+ (* 96 (/ 1 (pow x 2))) (/ 1152 (pow x 4)))) x))
(* -1 (/ (+ 8 (+ (* 96 (/ 1 (pow x 2))) (+ (* 13824 (/ 1 (pow x 6))) (/ 1152 (pow x 4))))) x))
(/ 16 x)
(/ (+ 16 (* -1/9 (pow x 4))) x)
(/ (+ 16 (* -1/9 (pow x 4))) x)
(/ (+ 16 (* -1/9 (pow x 4))) x)
(* -1/9 (pow x 3))
(* (pow x 3) (- (* 16 (/ 1 (pow x 4))) 1/9))
(* (pow x 3) (- (* 16 (/ 1 (pow x 4))) 1/9))
(* (pow x 3) (- (* 16 (/ 1 (pow x 4))) 1/9))
(* -1/9 (pow x 3))
(* -1 (* (pow x 3) (- 1/9 (* 16 (/ 1 (pow x 4))))))
(* -1 (* (pow x 3) (- 1/9 (* 16 (/ 1 (pow x 4))))))
(* -1 (* (pow x 3) (- 1/9 (* 16 (/ 1 (pow x 4))))))
1
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8)))
(cos (* 1/2 x))
(cos (* 1/2 x))
(cos (* 1/2 x))
(cos (* 1/2 x))
(cos (* 1/2 x))
(cos (* 1/2 x))
(cos (* 1/2 x))
(cos (* 1/2 x))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/18 binary64) (.f64 (*.f64 x x) #s(literal 1/180 binary64)))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/180 binary64) (.f64 (*.f64 x x) #s(literal 17/30240 binary64)))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* -1/36 (pow x 2))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal -1/36 binary64))))
(* x (+ 2/3 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/36))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/36 binary64) (.f64 (*.f64 x x) #s(literal 1/2880 binary64)))))))
(* x (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/483840 (pow x 2)))) 1/36))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/36 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2880 binary64) (.f64 x (*.f64 x #s(literal -1/483840 binary64))))))))))
(* 4/3 (sin (* 1/2 x)))
(.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (sin (* 1/2 x)))
(.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (sin (* 1/2 x)))
(.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (sin (* 1/2 x)))
(.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (sin (* 1/2 x)))
(.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (sin (* 1/2 x)))
(.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (sin (* 1/2 x)))
(.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (sin (* 1/2 x)))
(.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/48 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/48 binary64))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 x x) #s(literal 1/3840 binary64))))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 x x) #s(literal -1/645120 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))
(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)))
(* 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))
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/216 (pow x 2))))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 (*.f64 x x) #s(literal 1/216 binary64))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/216 (* 1/2592 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (*.f64 x x) #s(literal 1/2592 binary64)))))))))
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(* -1 (/ (+ 8 (* 96 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -96 binary64) (*.f64 x x))) x)
(/ (- (* -1 (/ (+ 96 (* 1152 (/ 1 (pow x 2)))) (pow x 2))) 8) x)
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal -96 binary64) (/.f64 #s(literal -1152 binary64) (.f64 x x))) (.f64 x x))) x)
(/ (- (* -1 (/ (+ 1152 (* 13824 (/ 1 (pow x 2)))) (pow x 4))) (+ 8 (* 96 (/ 1 (pow x 2))))) x)
(/.f64 (-.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -96 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 1152 binary64) (/.f64 #s(literal 13824 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))) x)
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(* -1 (/ (+ 8 (* 96 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -96 binary64) (*.f64 x x))) x)
(* -1 (/ (+ 8 (+ (* 96 (/ 1 (pow x 2))) (/ 1152 (pow x 4)))) x))
(/.f64 (+.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -96 binary64) (.f64 x x))) (/.f64 #s(literal -1152 binary64) (.f64 (.f64 x x) (.f64 x x)))) x)
(* -1 (/ (+ 8 (+ (* 96 (/ 1 (pow x 2))) (+ (* 13824 (/ 1 (pow x 6))) (/ 1152 (pow x 4))))) x))
(/.f64 (+.f64 (/.f64 #s(literal -1152 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -96 binary64) (.f64 x x))) (/.f64 #s(literal -13824 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/864 (pow x 4))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/864 binary64))))
(* x (+ 1/6 (* (pow x 4) (+ 1/864 (* 1/124416 (pow x 4))))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/864 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/124416 binary64))))))
(* x (+ 1/6 (* (pow x 4) (+ 1/864 (* (pow x 4) (+ 1/124416 (* 1/17915904 (pow x 4))))))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/864 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/124416 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/17915904 binary64))))))))
(/ -24 (pow x 3))
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x x)))
(* -1 (/ (+ 24 (* 3456 (/ 1 (pow x 4)))) (pow x 3)))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -3456 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (*.f64 x x)))
(/ (- (* -1 (/ (+ 3456 (* 497664 (/ 1 (pow x 4)))) (pow x 4))) 24) (pow x 3))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 (+.f64 #s(literal -3456 binary64) (/.f64 #s(literal -497664 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x x)))
(/ (- (* -1 (/ (+ 497664 (* 71663616 (/ 1 (pow x 4)))) (pow x 8))) (+ 24 (* 3456 (/ 1 (pow x 4))))) (pow x 3))
(/.f64 (-.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -3456 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 (+.f64 #s(literal 497664 binary64) (/.f64 #s(literal 71663616 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (.f64 x (*.f64 x x)))
(/ -24 (pow x 3))
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x x)))
(* -1 (/ (+ 24 (* 3456 (/ 1 (pow x 4)))) (pow x 3)))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -3456 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (*.f64 x x)))
(* -1 (/ (+ 24 (+ (* 3456 (/ 1 (pow x 4))) (/ 497664 (pow x 8)))) (pow x 3)))
(/.f64 (-.f64 #s(literal -24 binary64) (+.f64 (/.f64 #s(literal 3456 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 497664 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (.f64 x (.f64 x x)))
(* -1 (/ (+ 24 (+ (* 3456 (/ 1 (pow x 4))) (+ (* 71663616 (/ 1 (pow x 12))) (/ 497664 (pow x 8))))) (pow x 3)))
(/.f64 (+.f64 #s(literal -24 binary64) (+.f64 (/.f64 #s(literal -3456 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 #s(literal -497664 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal -71663616 binary64) (pow.f64 x #s(literal 12 binary64)))))) (.f64 x (.f64 x x)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/864 (pow x 4)))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/864 binary64)))
(+ 1/6 (* (pow x 4) (+ 1/864 (* 1/124416 (pow x 4)))))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/864 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/124416 binary64)))))
(+ 1/6 (* (pow x 4) (+ 1/864 (* (pow x 4) (+ 1/124416 (* 1/17915904 (pow x 4)))))))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/864 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/124416 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/17915904 binary64)))))))
(/ -24 (pow x 4))
(/.f64 (/.f64 #s(literal -24 binary64) (.f64 x x)) (.f64 x x))
(* -1 (/ (+ 24 (* 3456 (/ 1 (pow x 4)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -3456 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x)))
(/ (- (* -1 (/ (+ 3456 (* 497664 (/ 1 (pow x 4)))) (pow x 4))) 24) (pow x 4))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 (+.f64 #s(literal -3456 binary64) (/.f64 #s(literal -497664 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (*.f64 x x)))
(/ (- (* -1 (/ (+ 497664 (* 71663616 (/ 1 (pow x 4)))) (pow x 8))) (+ 24 (* 3456 (/ 1 (pow x 4))))) (pow x 4))
(/.f64 (-.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -3456 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 (+.f64 #s(literal 497664 binary64) (/.f64 #s(literal 71663616 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x x)))
(/ -24 (pow x 4))
(/.f64 (/.f64 #s(literal -24 binary64) (.f64 x x)) (.f64 x x))
(* -1 (/ (+ 24 (* 3456 (/ 1 (pow x 4)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -3456 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x)))
(/ (- (* -1 (/ (+ 3456 (* 497664 (/ 1 (pow x 4)))) (pow x 4))) 24) (pow x 4))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 (+.f64 #s(literal -3456 binary64) (/.f64 #s(literal -497664 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (*.f64 x x)))
(/ (- (* -1 (/ (+ 497664 (* 71663616 (/ 1 (pow x 4)))) (pow x 8))) (+ 24 (* 3456 (/ 1 (pow x 4))))) (pow x 4))
(/.f64 (-.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -3456 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 (+.f64 #s(literal 497664 binary64) (/.f64 #s(literal 71663616 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x x)))
16
#s(literal 16 binary64)
(+ 16 (* -1/9 (pow x 4)))
(+.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64)))
(+ 16 (* -1/9 (pow x 4)))
(+.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64)))
(+ 16 (* -1/9 (pow x 4)))
(+.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64)))
(* -1/9 (pow x 4))
(.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64))
(* (pow x 4) (- (* 16 (/ 1 (pow x 4))) 1/9))
(+.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64)))
(* (pow x 4) (- (* 16 (/ 1 (pow x 4))) 1/9))
(+.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64)))
(* (pow x 4) (- (* 16 (/ 1 (pow x 4))) 1/9))
(+.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64)))
(* -1/9 (pow x 4))
(.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64))
(* (pow x 4) (- (* 16 (/ 1 (pow x 4))) 1/9))
(+.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64)))
(* (pow x 4) (- (* 16 (/ 1 (pow x 4))) 1/9))
(+.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64)))
(* (pow x 4) (- (* 16 (/ 1 (pow x 4))) 1/9))
(+.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(/.f64 (+.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 4 binary64)) x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(/.f64 (+.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 4 binary64)) x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(/.f64 (+.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 4 binary64)) x)
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* x (- (* 4 (/ 1 (pow x 2))) 1/3))
(.f64 x (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))))
(* x (- (* 4 (/ 1 (pow x 2))) 1/3))
(.f64 x (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))))
(* x (- (* 4 (/ 1 (pow x 2))) 1/3))
(.f64 x (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- 1/3 (* 4 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))))
(* -1 (* x (- 1/3 (* 4 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))))
(* -1 (* x (- 1/3 (* 4 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/216 (pow x 2))))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 (*.f64 x x) #s(literal 1/216 binary64))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/216 (* 1/2592 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (*.f64 x x) #s(literal 1/2592 binary64)))))))))
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(* -1 (/ (+ 8 (* 96 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -96 binary64) (*.f64 x x))) x)
(/ (- (* -1 (/ (+ 96 (* 1152 (/ 1 (pow x 2)))) (pow x 2))) 8) x)
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal -96 binary64) (/.f64 #s(literal -1152 binary64) (.f64 x x))) (.f64 x x))) x)
(/ (- (* -1 (/ (+ 1152 (* 13824 (/ 1 (pow x 2)))) (pow x 4))) (+ 8 (* 96 (/ 1 (pow x 2))))) x)
(/.f64 (-.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -96 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 1152 binary64) (/.f64 #s(literal 13824 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))) x)
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(* -1 (/ (+ 8 (* 96 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -96 binary64) (*.f64 x x))) x)
(* -1 (/ (+ 8 (+ (* 96 (/ 1 (pow x 2))) (/ 1152 (pow x 4)))) x))
(/.f64 (+.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -96 binary64) (.f64 x x))) (/.f64 #s(literal -1152 binary64) (.f64 (.f64 x x) (.f64 x x)))) x)
(* -1 (/ (+ 8 (+ (* 96 (/ 1 (pow x 2))) (+ (* 13824 (/ 1 (pow x 6))) (/ 1152 (pow x 4))))) x))
(/.f64 (+.f64 (/.f64 #s(literal -1152 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -96 binary64) (.f64 x x))) (/.f64 #s(literal -13824 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(/ 16 x)
(/.f64 #s(literal 16 binary64) x)
(/ (+ 16 (* -1/9 (pow x 4))) x)
(/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64))) x)
(/ (+ 16 (* -1/9 (pow x 4))) x)
(/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64))) x)
(/ (+ 16 (* -1/9 (pow x 4))) x)
(/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64))) x)
(* -1/9 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/9 binary64)))
(* (pow x 3) (- (* 16 (/ 1 (pow x 4))) 1/9))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(* (pow x 3) (- (* 16 (/ 1 (pow x 4))) 1/9))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(* (pow x 3) (- (* 16 (/ 1 (pow x 4))) 1/9))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(* -1/9 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/9 binary64)))
(* -1 (* (pow x 3) (- 1/9 (* 16 (/ 1 (pow x 4))))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(* -1 (* (pow x 3) (- 1/9 (* 16 (/ 1 (pow x 4))))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(* -1 (* (pow x 3) (- 1/9 (* 16 (/ 1 (pow x 4))))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))
(+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/384 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/384 binary64) (.f64 (.f64 x x) #s(literal -1/46080 binary64))))))))
(cos (* 1/2 x))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
(cos (* 1/2 x))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
(cos (* 1/2 x))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
(cos (* 1/2 x))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
(cos (* 1/2 x))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
(cos (* 1/2 x))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
(cos (* 1/2 x))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
(cos (* 1/2 x))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))

eval332.0ms (2.6%)

Memory: 0.7MiB live, 546.3MiB allocated
Compiler: Compiled 61 248 to 4 126 computations (93.3% saved)

prune239.0ms (1.9%)

Memory

-14.2MiB live, 550.8MiB allocated

Pruning

49 alts after pruning (41 fresh and 8 done)

	Pruned	Kept	Total
New	1 720	27	1 747
Fresh	7	14	21
Picked	3	2	5
Done	0	6	6
Total	1 730	49	1 779

Accuracy

100.0%

Counts

1 779 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.9%	(/.f64 (/.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)))) (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) (.f64 x #s(literal 8/3 binary64)))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal -4 binary64)))))
✓	99.7%	(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
	49.4%	(/.f64 (/.f64 x (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))) #s(literal 3/8 binary64))
	48.7%	(/.f64 (/.f64 x #s(literal 4 binary64)) #s(literal 3/8 binary64))
	2.5%	(/.f64 (/.f64 #s(literal 8/3 binary64) (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) x))
	99.5%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
	2.5%	(/.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
✓	54.8%	(/.f64 (-.f64 #s(literal 4/3 binary64) (/.f64 (cos.f64 x) #s(literal 3/4 binary64))) (sin.f64 x))
✓	55.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
	55.0%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
	47.7%	(/.f64 (.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)))) (.f64 x #s(literal 8/3 binary64))) (.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal -4 binary64)))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))))
	49.2%	(/.f64 (.f64 x #s(literal 8/3 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal -1/3 binary64))) #s(literal 4 binary64)))
	2.5%	(/.f64 (.f64 x #s(literal 8/3 binary64)) (.f64 x (*.f64 x #s(literal -1/3 binary64))))
	2.5%	(/.f64 (.f64 x #s(literal -8/3 binary64)) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
✓	99.8%	(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
	2.5%	(/.f64 x (/.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) #s(literal 8/3 binary64)))
	49.1%	(/.f64 #s(literal 8/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) #s(literal 4 binary64)))))
	47.8%	(/.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) #s(literal -64 binary64)) (neg.f64 (.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) (+.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) #s(literal -4 binary64)))) x))))
	2.5%	(/.f64 #s(literal 8/3 binary64) (/.f64 (.f64 (.f64 x #s(literal -1/3 binary64)) x) x))
✓	48.4%	(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 4 binary64) x))
✓	99.3%	(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
	1.2%	(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) (.f64 (/.f64 (-.f64 #s(literal -16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) x) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))))
	47.8%	(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
	47.6%	(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))))) (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal -4 binary64))))))))
	47.8%	(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal -4/3 binary64)))))))
	47.6%	(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) (+.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/81 binary64)))) (/.f64 (+.f64 (.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal 4 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))))))
	1.1%	(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/9 binary64))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))))
	31.8%	(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 x (.f64 x x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))))
	2.5%	(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 #s(literal -1/3 binary64) x) (.f64 x x)))
	2.6%	(/.f64 #s(literal 8/3 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x #s(literal -1/3 binary64))))
	2.6%	(/.f64 #s(literal 8/3 binary64) (*.f64 x (/.f64 x (/.f64 x #s(literal -1/3 binary64)))))
	2.6%	(/.f64 #s(literal 8/3 binary64) (*.f64 x #s(literal -1/3 binary64)))
	49.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -4 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x) #s(literal -8/3 binary64)))
	49.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -8/3 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal -4 binary64)))))
	48.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
	48.4%	(/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 8/3 binary64)))
✓	2.6%	(/.f64 #s(literal -8 binary64) x)
	54.0%	(-.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/4 binary64) (tan.f64 x))))
	47.6%	(.f64 (/.f64 (/.f64 #s(literal 8/3 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))))
	48.3%	(.f64 (/.f64 (.f64 #s(literal 8/3 binary64) x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -16 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal -4 binary64)))
	2.6%	(.f64 (/.f64 x (.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 8/3 binary64) x))
	2.6%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/3 binary64))) #s(literal 8/3 binary64))
	2.5%	(.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) x)
	1.5%	(.f64 (.f64 x (/.f64 #s(literal 8/3 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))))
	47.8%	(.f64 (.f64 #s(literal 8/3 binary64) (/.f64 x (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -4/3 binary64)))))
	99.4%	(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
	48.5%	(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/18 binary64)))))
✓	48.5%	(*.f64 #s(literal 2/3 binary64) x)

Compiler

Compiled 2 066 to 825 computations (60.1% saved)

regimes52.0ms (0.4%)

Memory

-6.9MiB live, 147.3MiB allocated

Counts

74 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 #s(literal -8 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 #s(literal 8/3 binary64) (*.f64 x #s(literal -1/3 binary64)))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 4 binary64) x))
(/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3/4 binary64))
(/.f64 (/.f64 x #s(literal 4 binary64)) #s(literal 3/8 binary64))
(.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/3 binary64))) #s(literal 8/3 binary64))
(/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 8/3 binary64)))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(.f64 (/.f64 x (.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 8/3 binary64) x))
(/.f64 #s(literal 8/3 binary64) (*.f64 x (/.f64 x (/.f64 x #s(literal -1/3 binary64)))))
(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 #s(literal -1/3 binary64) x) (.f64 x x)))
(/.f64 #s(literal 8/3 binary64) (/.f64 (.f64 (.f64 x #s(literal -1/3 binary64)) x) x))
(/.f64 #s(literal 8/3 binary64) (/.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
(/.f64 x (/.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) #s(literal 8/3 binary64)))
(/.f64 (.f64 x #s(literal -8/3 binary64)) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (.f64 x #s(literal 8/3 binary64)) (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(/.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 8/3 binary64) (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) x))
(.f64 (/.f64 #s(literal 8/3 binary64) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))) x)
(/.f64 #s(literal 8/3 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x #s(literal -1/3 binary64))))
(/.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal -1/3 binary64)) x)) x))
(/.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x))
(/.f64 (.f64 x #s(literal 8/3 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (.f64 x #s(literal 8/3 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal -1/3 binary64))) #s(literal 4 binary64)))
(/.f64 (/.f64 x (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))) #s(literal 3/8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -4 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x) #s(literal -8/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -8/3 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal -4 binary64)))))
(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 x (.f64 x x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 #s(literal 8/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) #s(literal 4 binary64)))))
(.f64 (.f64 x (/.f64 #s(literal 8/3 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))))
(.f64 (.f64 x (/.f64 #s(literal 8/3 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))))
(.f64 (/.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) x)) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(.f64 (/.f64 (.f64 #s(literal 8/3 binary64) x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -16 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal -4 binary64)))
(/.f64 #s(literal 8/3 binary64) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))))
(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/9 binary64))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))))
(.f64 (.f64 #s(literal 8/3 binary64) (/.f64 x (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -4/3 binary64)))))
(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal -4/3 binary64)))))))
(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) x) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) (.f64 (/.f64 (-.f64 #s(literal -16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) x) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))))
(/.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) #s(literal -64 binary64)) (neg.f64 (.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) (+.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) #s(literal -4 binary64)))) x))))
(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 #s(literal 8/3 binary64) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/9 binary64))))) x))
(.f64 (/.f64 (/.f64 #s(literal 8/3 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)))) (.f64 x #s(literal 8/3 binary64))) (.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal -4 binary64)))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)))) (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) (.f64 x #s(literal 8/3 binary64)))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal -4 binary64)))))
(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))))) (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal -4 binary64))))))))
(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) (+.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/81 binary64)))) (/.f64 (+.f64 (.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal 4 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))))))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
(/.f64 (-.f64 #s(literal 4/3 binary64) (/.f64 (cos.f64 x) #s(literal 3/4 binary64))) (sin.f64 x))
(-.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/4 binary64) (tan.f64 x))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (/.f64 x #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 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 3/4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(exp.f64 (log.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))))
(.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 #s(literal 1 binary64) (.f64 (sin.f64 x) #s(literal 3/4 binary64))) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) #s(literal 3/4 binary64))))
(/.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 x))
(/.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (sin.f64 x) #s(literal 3/4 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))

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

Calls

2 calls:

24.0ms	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)

regimes22.0ms (0.2%)

Memory

23.6MiB live, 61.7MiB allocated

Counts

52 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 #s(literal -8 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 #s(literal 8/3 binary64) (*.f64 x #s(literal -1/3 binary64)))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 4 binary64) x))
(/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3/4 binary64))
(/.f64 (/.f64 x #s(literal 4 binary64)) #s(literal 3/8 binary64))
(.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/3 binary64))) #s(literal 8/3 binary64))
(/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 8/3 binary64)))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(.f64 (/.f64 x (.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 8/3 binary64) x))
(/.f64 #s(literal 8/3 binary64) (*.f64 x (/.f64 x (/.f64 x #s(literal -1/3 binary64)))))
(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 #s(literal -1/3 binary64) x) (.f64 x x)))
(/.f64 #s(literal 8/3 binary64) (/.f64 (.f64 (.f64 x #s(literal -1/3 binary64)) x) x))
(/.f64 #s(literal 8/3 binary64) (/.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
(/.f64 x (/.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) #s(literal 8/3 binary64)))
(/.f64 (.f64 x #s(literal -8/3 binary64)) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (.f64 x #s(literal 8/3 binary64)) (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(/.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 8/3 binary64) (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) x))
(.f64 (/.f64 #s(literal 8/3 binary64) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))) x)
(/.f64 #s(literal 8/3 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x #s(literal -1/3 binary64))))
(/.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal -1/3 binary64)) x)) x))
(/.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x))
(/.f64 (.f64 x #s(literal 8/3 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (.f64 x #s(literal 8/3 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal -1/3 binary64))) #s(literal 4 binary64)))
(/.f64 (/.f64 x (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))) #s(literal 3/8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -4 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x) #s(literal -8/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -8/3 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal -4 binary64)))))
(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 x (.f64 x x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 #s(literal 8/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) #s(literal 4 binary64)))))
(.f64 (.f64 x (/.f64 #s(literal 8/3 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))))
(.f64 (.f64 x (/.f64 #s(literal 8/3 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))))
(.f64 (/.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) x)) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(.f64 (/.f64 (.f64 #s(literal 8/3 binary64) x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -16 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal -4 binary64)))
(/.f64 #s(literal 8/3 binary64) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))))
(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/9 binary64))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))))
(.f64 (.f64 #s(literal 8/3 binary64) (/.f64 x (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -4/3 binary64)))))
(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal -4/3 binary64)))))))
(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) x) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) (.f64 (/.f64 (-.f64 #s(literal -16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) x) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))))
(/.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) #s(literal -64 binary64)) (neg.f64 (.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) (+.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) #s(literal -4 binary64)))) x))))
(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 #s(literal 8/3 binary64) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/9 binary64))))) x))
(.f64 (/.f64 (/.f64 #s(literal 8/3 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)))) (.f64 x #s(literal 8/3 binary64))) (.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal -4 binary64)))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)))) (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) (.f64 x #s(literal 8/3 binary64)))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal -4 binary64)))))
(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))))) (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal -4 binary64))))))))
(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) (+.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/81 binary64)))) (/.f64 (+.f64 (.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal 4 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))))))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes32.0ms (0.3%)

Memory

-8.1MiB live, 32.4MiB allocated

Counts

51 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 #s(literal -8 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 #s(literal 8/3 binary64) (*.f64 x #s(literal -1/3 binary64)))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 4 binary64) x))
(/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3/4 binary64))
(/.f64 (/.f64 x #s(literal 4 binary64)) #s(literal 3/8 binary64))
(.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/3 binary64))) #s(literal 8/3 binary64))
(/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 8/3 binary64)))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(.f64 (/.f64 x (.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 8/3 binary64) x))
(/.f64 #s(literal 8/3 binary64) (*.f64 x (/.f64 x (/.f64 x #s(literal -1/3 binary64)))))
(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 #s(literal -1/3 binary64) x) (.f64 x x)))
(/.f64 #s(literal 8/3 binary64) (/.f64 (.f64 (.f64 x #s(literal -1/3 binary64)) x) x))
(/.f64 #s(literal 8/3 binary64) (/.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
(/.f64 x (/.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) #s(literal 8/3 binary64)))
(/.f64 (.f64 x #s(literal -8/3 binary64)) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (.f64 x #s(literal 8/3 binary64)) (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(/.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 8/3 binary64) (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) x))
(.f64 (/.f64 #s(literal 8/3 binary64) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))) x)
(/.f64 #s(literal 8/3 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x #s(literal -1/3 binary64))))
(/.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal -1/3 binary64)) x)) x))
(/.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x))
(/.f64 (.f64 x #s(literal 8/3 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (.f64 x #s(literal 8/3 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal -1/3 binary64))) #s(literal 4 binary64)))
(/.f64 (/.f64 x (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))) #s(literal 3/8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -4 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x) #s(literal -8/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -8/3 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal -4 binary64)))))
(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 x (.f64 x x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 #s(literal 8/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) #s(literal 4 binary64)))))
(.f64 (.f64 x (/.f64 #s(literal 8/3 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))))
(.f64 (.f64 x (/.f64 #s(literal 8/3 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))))
(.f64 (/.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) x)) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(.f64 (/.f64 (.f64 #s(literal 8/3 binary64) x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -16 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal -4 binary64)))
(/.f64 #s(literal 8/3 binary64) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))))
(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/9 binary64))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))))
(.f64 (.f64 #s(literal 8/3 binary64) (/.f64 x (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -4/3 binary64)))))
(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal -4/3 binary64)))))))
(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) x) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) (.f64 (/.f64 (-.f64 #s(literal -16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) x) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))))
(/.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) #s(literal -64 binary64)) (neg.f64 (.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) (+.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) #s(literal -4 binary64)))) x))))
(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 #s(literal 8/3 binary64) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/9 binary64))))) x))
(.f64 (/.f64 (/.f64 #s(literal 8/3 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)))) (.f64 x #s(literal 8/3 binary64))) (.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal -4 binary64)))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)))) (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) (.f64 x #s(literal 8/3 binary64)))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal -4 binary64)))))
(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))))) (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal -4 binary64))))))))
(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64))) (+.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/81 binary64)))) (/.f64 (+.f64 (.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal 4 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9 binary64)))))))

Outputs
(/.f64 (/.f64 x (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))) #s(literal 3/8 binary64))

Calls

1 calls:

29.0ms

Results

Accuracy	Segments	Branch
49.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 #s(literal -8 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 #s(literal 8/3 binary64) (*.f64 x #s(literal -1/3 binary64)))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 4 binary64) x))
(/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3/4 binary64))
(/.f64 (/.f64 x #s(literal 4 binary64)) #s(literal 3/8 binary64))
(.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/3 binary64))) #s(literal 8/3 binary64))
(/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 8/3 binary64)))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(.f64 (/.f64 x (.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 8/3 binary64) x))
(/.f64 #s(literal 8/3 binary64) (*.f64 x (/.f64 x (/.f64 x #s(literal -1/3 binary64)))))
(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 #s(literal -1/3 binary64) x) (.f64 x x)))
(/.f64 #s(literal 8/3 binary64) (/.f64 (.f64 (.f64 x #s(literal -1/3 binary64)) x) x))
(/.f64 #s(literal 8/3 binary64) (/.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
(/.f64 x (/.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) #s(literal 8/3 binary64)))
(/.f64 (.f64 x #s(literal -8/3 binary64)) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (.f64 x #s(literal 8/3 binary64)) (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(/.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 8/3 binary64) (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) x))
(.f64 (/.f64 #s(literal 8/3 binary64) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))) x)
(/.f64 #s(literal 8/3 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x #s(literal -1/3 binary64))))
(/.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal -1/3 binary64)) x)) x))
(/.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x))
(/.f64 (.f64 x #s(literal 8/3 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (.f64 x #s(literal 8/3 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal -1/3 binary64))) #s(literal 4 binary64)))

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
49.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes46.0ms (0.4%)

Memory

-22.3MiB live, 15.8MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 #s(literal -8 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 #s(literal 8/3 binary64) (*.f64 x #s(literal -1/3 binary64)))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 4 binary64) x))
(/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3/4 binary64))
(/.f64 (/.f64 x #s(literal 4 binary64)) #s(literal 3/8 binary64))
(.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/3 binary64))) #s(literal 8/3 binary64))
(/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 8/3 binary64)))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(.f64 (/.f64 x (.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 8/3 binary64) x))
(/.f64 #s(literal 8/3 binary64) (*.f64 x (/.f64 x (/.f64 x #s(literal -1/3 binary64)))))
(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 #s(literal -1/3 binary64) x) (.f64 x x)))
(/.f64 #s(literal 8/3 binary64) (/.f64 (.f64 (.f64 x #s(literal -1/3 binary64)) x) x))
(/.f64 #s(literal 8/3 binary64) (/.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
(/.f64 x (/.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) #s(literal 8/3 binary64)))
(/.f64 (.f64 x #s(literal -8/3 binary64)) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (.f64 x #s(literal 8/3 binary64)) (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(/.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 8/3 binary64) (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) x))

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

Calls

1 calls:

45.0ms

Results

Accuracy	Segments	Branch
48.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 #s(literal -8 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 #s(literal 8/3 binary64) (*.f64 x #s(literal -1/3 binary64)))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 4 binary64) x))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
48.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Accuracy

Total -30.0b remaining (-91%)

Threshold costs -30b (-91%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
48.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify8.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	47
1	34	47

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness2.5s (19.7%)

Memory

-7.4MiB live, 2 950.4MiB allocated

Rules

16 736×	`accelerator-lowering-fma.f32`
16 736×	`accelerator-lowering-fma.f64`
16 216×	`accelerator-lowering-fma.f32`
16 216×	`accelerator-lowering-fma.f64`
5 956×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	858
1	399	858
2	964	852
3	2817	852
4	3527	852
5	4255	852
6	4606	852
7	4997	852
8	5754	852
9	7291	852
0	8009	804
0	15	68
1	41	59
2	153	59
3	802	53
4	5881	47
0	8118	47
0	12	14
1	19	14
2	29	14
3	38	14
4	41	14
0	41	14
0	27	113
1	147	103
2	911	103
0	8791	98
0	216	1398
1	567	1398
2	1374	1392
3	4008	1392
4	4996	1392
5	5408	1392
6	5936	1392
7	6863	1392
0	8051	1314

Stop Event

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

Compiler

Compiled 229 to 149 computations (34.9% saved)

preprocess171.0ms (1.3%)

Memory: -9.5MiB live, 141.6MiB allocated
Remove: (negabs x)
Compiler: Compiled 206 to 132 computations (35.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze191.0ms (1.5%)

sample1.4s (11%)

preprocess52.0ms (0.4%)

explain146.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize67.0ms (0.5%)

series13.0ms (0.1%)

rewrite360.0ms (2.8%)

simplify499.0ms (3.9%)

eval108.0ms (0.8%)

prune178.0ms (1.4%)

simplify661.0ms (5.2%)

localize406.0ms (3.2%)

series17.0ms (0.1%)

rewrite851.0ms (6.6%)

simplify633.0ms (4.9%)

eval322.0ms (2.5%)

prune148.0ms (1.2%)

simplify226.0ms (1.8%)

localize264.0ms (2.1%)

series12.0ms (0.1%)

rewrite292.0ms (2.3%)

simplify470.0ms (3.7%)

eval145.0ms (1.1%)

prune124.0ms (1%)

simplify339.0ms (2.6%)

localize301.0ms (2.3%)

series42.0ms (0.3%)

rewrite558.0ms (4.4%)

simplify535.0ms (4.2%)

eval332.0ms (2.6%)

prune239.0ms (1.9%)

regimes52.0ms (0.4%)

regimes22.0ms (0.2%)

regimes32.0ms (0.3%)

regimes10.0ms (0.1%)

regimes46.0ms (0.4%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify8.0ms (0.1%)

soundness2.5s (19.7%)

preprocess171.0ms (1.3%)

end0.0ms (0%)

Profiling