Metrics for tanhf (example 3.4)

analyze156.0ms (2.4%)

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 9 to 7 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-sub: 35.0ms (46.5% of total)

ival-cos: 16.0ms (21.2% of total)

ival-sin: 15.0ms (19.9% of total)

ival-div: 6.0ms (8% of total)

const: 2.0ms (2.7% of total)

backward-pass: 1.0ms (1.3% of total)

sample2.0s (30.2%)

Results

857.0ms	2012×	2	valid
549.0ms	4123×	0	valid
304.0ms	2116×	1	valid
4.0ms	5×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-cos: 847.0ms (59.4% of total)

ival-sin: 221.0ms (15.5% of total)

ival-div: 168.0ms (11.8% of total)

ival-sub: 92.0ms (6.5% of total)

backward-pass: 81.0ms (5.7% of total)

const: 17.0ms (1.2% of total)

Bogosity

preprocess81.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

640×	`sum5-define`
524×	`sum3-define`
502×	`fnmadd-define`
430×	`fnmadd-define`
398×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	38	13
2	79	12
3	184	12
4	493	12
5	1160	12
6	2161	12
0	6	4
1	16	4
2	23	4
3	35	4
4	59	4
5	90	4
6	152	4
7	264	4
8	633	4
9	1210	4
10	1691	4
11	1714	4
12	1722	4
13	1728	4
14	1736	4
15	1749	4
16	1757	4
17	1766	4
18	1767	4
0	1767	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (- 1 (cos x)) (sin x))

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

Call 2

Inputs
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos (neg x))) (sin (neg x)))
(neg (/ (- 1 (cos (neg x))) (sin (neg x))))

Outputs
(/ (- 1 (cos x)) (sin x))
(tan (* x 1/2))
(/ (- 1 (cos (neg x))) (sin (neg x)))
(tan (* x -1/2))
(neg (/ (- 1 (cos (neg x))) (sin (neg x))))
(tan (* x 1/2))

Symmetry

(negabs x)

explain168.0ms (2.5%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
70	0	-	2	(1.6513816068052901e-156)	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`
67	2	(6.108455405192725e-162)	2	(2.4721104894569236e+292)	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
0	0	-	0	-	`x`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(cos.f64 x)`

Results

78.0ms	138×	2	valid
30.0ms	246×	0	valid
24.0ms	128×	1	valid

Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions

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

ival-cos: 65.0ms (66.3% of total)

ival-sin: 12.0ms (12.2% of total)

backward-pass: 7.0ms (7.1% of total)

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

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

const: 1.0ms (1% of total)

eval0.0ms (0%)

Compiler: Compiled 5 to 4 computations (20% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Rules

2×	`/-lowering-/.f32`
2×	`tan-lowering-tan.f32`
2×	`/-lowering-/.f64`
2×	`tan-lowering-tan.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	9
0	4	9

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(tan (/ x 2))
(/ x 2)
x
2

Outputs
(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)

localize20.0ms (0.3%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Results

14.0ms

256×

valid

Compiler

Compiled 11 to 5 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-tan: 5.0ms (66.8% of total)

ival-div: 2.0ms (26.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series3.0ms (0%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (tan (/ x 2))>
#<alt (/ x 2)>

Outputs
#<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)>

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ x 2)
1.0ms	x	@	inf	(tan (/ x 2))
0.0ms	x	@	-inf	(tan (/ x 2))
0.0ms	x	@	0	(tan (/ x 2))
0.0ms	x	@	-inf	(/ x 2)

rewrite178.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2784×	`-lowering-.f32`
2784×	`-lowering-.f64`
2350×	`/-lowering-/.f32`
2350×	`/-lowering-/.f64`
1558×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	17	7
2	50	7
3	192	7
4	905	7
0	8152	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 326

Calls

Call 1

Inputs
(tan (/ x 2))
(/ x 2)

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

simplify90.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1708×	`fma-define`
1312×	`fma-lowering-fma.f32`
1312×	`fma-lowering-fma.f64`
402×	`-lowering-.f32`
402×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	156
1	73	150
2	232	150
3	651	150
4	1240	150
5	1665	150
6	1823	150
7	1824	150
0	1824	150

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
(* 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)

Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* 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 (.f64 x 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 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)

eval39.0ms (0.6%)

Compiler: Compiled 4560 to 895 computations (80.4% saved)

prune54.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	345	5	350
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	345	6	351

Accuracy

100.0%

Counts

351 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (+.f64 (sin.f64 x) #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
▶	53.2%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))))
▶	53.2%	(.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))))))
▶	53.3%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
▶	53.5%	(*.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Compiler

Compiled 129 to 86 computations (33.3% saved)

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64)))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))
✓	cost-diff	0	(+.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)))))
✓	cost-diff	0	(.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))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 1/24 binary64) (.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	128	(+.f64 (sin.f64 x) #s(literal 0 binary64))
✓	cost-diff	6656	(/.f64 (+.f64 (sin.f64 x) #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))

Rules

1744×	`fma-define`
1312×	`fma-lowering-fma.f32`
1312×	`fma-lowering-fma.f64`
402×	`-lowering-.f32`
402×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	211
1	91	188
2	294	188
3	729	188
4	1300	188
5	1723	188
6	1882	188
7	1883	188
0	1883	188

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (+ (sin x) 0) (+ 1 (cos x)))
(+ (sin x) 0)
(sin x)
x
0
(+ 1 (cos x))
1
(cos x)
(* 1/2 x)
1/2
x
(* x (+ 1/2 (* 1/24 (* x x))))
x
(+ 1/2 (* 1/24 (* x x)))
1/2
(* 1/24 (* x x))
1/24
(* x x)
(* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/240)))))
x
(+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/240))))
1/2
(* (* x x) (+ 1/24 (* (* x x) 1/240)))
(* x x)
(+ 1/24 (* (* x x) 1/240))
1/24
(* (* x x) 1/240)
1/240
(* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* (* x x) 17/40320)))))))
x
(+ 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* (* x x) 17/40320))))))
1/2
(* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* (* x x) 17/40320)))))
(* x x)
(+ 1/24 (* (* x x) (+ 1/240 (* (* x x) 17/40320))))
1/24
(* (* x x) (+ 1/240 (* (* x x) 17/40320)))
(+ 1/240 (* (* x x) 17/40320))
1/240
(* (* x x) 17/40320)
17/40320

Outputs
(/ (+ (sin x) 0) (+ 1 (cos x)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(+ (sin x) 0)
(sin.f64 x)
(sin x)
(sin.f64 x)
x
0
#s(literal 0 binary64)
(+ 1 (cos x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(cos x)
(cos.f64 x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
x
(* x (+ 1/2 (* 1/24 (* x x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
x
(+ 1/2 (* 1/24 (* x x)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
1/2
#s(literal 1/2 binary64)
(* 1/24 (* x x))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
1/24
#s(literal 1/24 binary64)
(* x x)
(*.f64 x x)
(* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/240)))))
(.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 (* (* x x) (+ 1/24 (* (* x x) 1/240))))
(+.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)))))
1/2
#s(literal 1/2 binary64)
(* (* x x) (+ 1/24 (* (* x x) 1/240)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))
(* x x)
(*.f64 x x)
(+ 1/24 (* (* x x) 1/240))
(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64)))
1/24
#s(literal 1/24 binary64)
(* (* x x) 1/240)
(.f64 (.f64 x x) #s(literal 1/240 binary64))
1/240
#s(literal 1/240 binary64)
(* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* (* x x) 17/40320)))))))
(.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)))))))))
x
(+ 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* (* x x) 17/40320))))))
(+.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))))))))
1/2
#s(literal 1/2 binary64)
(* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* (* x x) 17/40320)))))
(.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)))))))
(* x x)
(*.f64 x x)
(+ 1/24 (* (* x x) (+ 1/240 (* (* x x) 17/40320))))
(+.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))))))
1/24
#s(literal 1/24 binary64)
(* (* x x) (+ 1/240 (* (* x x) 17/40320)))
(.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64)))))
(+ 1/240 (* (* x x) 17/40320))
(+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64)))
1/240
#s(literal 1/240 binary64)
(* (* x x) 17/40320)
(.f64 (.f64 x x) #s(literal 17/40320 binary64))
17/40320
#s(literal 17/40320 binary64)

localize148.0ms (2.2%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64))))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 17/40320 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64)))
✓	accuracy	100.0%	(.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))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/240 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
✓	accuracy	99.7%	(.f64 #s(literal 1/24 binary64) (.f64 x x))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.7%	(/.f64 (+.f64 (sin.f64 x) #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	accuracy	99.4%	(+.f64 #s(literal 1 binary64) (cos.f64 x))

Results

95.0ms

256×

valid

Compiler

Compiled 217 to 30 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 20.0ms (36.1% of total)

...c/correct-round.rkt:119:19: 12.0ms (21.7% of total)

ival-add: 10.0ms (18.1% of total)

ival-sin: 6.0ms (10.8% of total)

ival-cos: 5.0ms (9% of total)

ival-div: 2.0ms (3.6% of total)

const: 1.0ms (1.8% of total)

backward-pass: 0.0ms (0% of total)

series12.0ms (0.2%)

Counts

20 → 240

Calls

Call 1

Inputs
#<alt (/ (+ (sin x) 0) (+ 1 (cos x)))>
#<alt (+ (sin x) 0)>
#<alt (sin x)>
#<alt (+ 1 (cos x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (* x x))))>
#<alt (+ 1/2 (* 1/24 (* x x)))>
#<alt (* 1/24 (* x x))>
#<alt (* x x)>
#<alt (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/240)))))>
#<alt (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/240))))>
#<alt (* (* x x) (+ 1/24 (* (* x x) 1/240)))>
#<alt (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* (* x x) 17/40320)))))))>
#<alt (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* (* x x) 17/40320))))))>
#<alt (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* (* x x) 17/40320)))))>
#<alt (cos x)>
#<alt (* (* x x) 1/240)>
#<alt (+ 1/24 (* (* x x) 1/240))>
#<alt (* (* x x) 17/40320)>
#<alt (* (* x x) (+ 1/240 (* (* x x) 17/40320)))>

Outputs
#<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 x) (+ 1 (cos x)))>
#<alt (/ (sin x) (+ 1 (cos x)))>
#<alt (/ (sin x) (+ 1 (cos x)))>
#<alt (/ (sin x) (+ 1 (cos x)))>
#<alt (/ (sin x) (+ 1 (cos x)))>
#<alt (/ (sin x) (+ 1 (cos x)))>
#<alt (/ (sin x) (+ 1 (cos x)))>
#<alt (/ (sin x) (+ 1 (cos 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 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 2>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<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 (* 1/2 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 (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (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 (* 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 (* 1/240 (pow x 2))))))>
#<alt (* 1/240 (pow x 5))>
#<alt (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* 1/240 (pow x 5))>
#<alt (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))>
#<alt (* 1/240 (pow x 4))>
#<alt (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* 1/240 (pow x 4))>
#<alt (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))>
#<alt (* 1/240 (pow x 4))>
#<alt (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/240 (pow x 4))>
#<alt (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))>
#<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 (* 17/40320 (pow x 7))>
#<alt (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))>
#<alt (* 17/40320 (pow x 7))>
#<alt (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))>
#<alt (* 17/40320 (pow x 6))>
#<alt (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))>
#<alt (* 17/40320 (pow x 6))>
#<alt (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))>
#<alt (* 17/40320 (pow x 6))>
#<alt (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))>
#<alt (* 17/40320 (pow x 6))>
#<alt (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))>
#<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 (* 1/240 (pow x 2))>
#<alt (* 1/240 (pow x 2))>
#<alt (* 1/240 (pow x 2))>
#<alt (* 1/240 (pow x 2))>
#<alt (* 1/240 (pow x 2))>
#<alt (* 1/240 (pow x 2))>
#<alt (* 1/240 (pow x 2))>
#<alt (* 1/240 (pow x 2))>
#<alt (* 1/240 (pow x 2))>
#<alt (* 1/240 (pow x 2))>
#<alt (* 1/240 (pow x 2))>
#<alt (* 1/240 (pow x 2))>
#<alt 1/24>
#<alt (+ 1/24 (* 1/240 (pow x 2)))>
#<alt (+ 1/24 (* 1/240 (pow x 2)))>
#<alt (+ 1/24 (* 1/240 (pow x 2)))>
#<alt (* 1/240 (pow x 2))>
#<alt (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/240 (pow x 2))>
#<alt (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 17/40320 (pow x 2))>
#<alt (* 17/40320 (pow x 2))>
#<alt (* 17/40320 (pow x 2))>
#<alt (* 17/40320 (pow x 2))>
#<alt (* 17/40320 (pow x 2))>
#<alt (* 17/40320 (pow x 2))>
#<alt (* 17/40320 (pow x 2))>
#<alt (* 17/40320 (pow x 2))>
#<alt (* 17/40320 (pow x 2))>
#<alt (* 17/40320 (pow x 2))>
#<alt (* 17/40320 (pow x 2))>
#<alt (* 17/40320 (pow x 2))>
#<alt (* 1/240 (pow x 2))>
#<alt (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))>
#<alt (* 17/40320 (pow x 4))>
#<alt (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))>
#<alt (* 17/40320 (pow x 4))>
#<alt (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))>

Calls

60 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* (* x x) 17/40320)))))))
1.0ms	x	@	0	(+ (sin x) 0)
1.0ms	x	@	inf	(* x (+ 1/2 (* 1/24 (* x x))))
1.0ms	x	@	inf	(/ (+ (sin x) 0) (+ 1 (cos x)))
1.0ms	x	@	-inf	(/ (+ (sin x) 0) (+ 1 (cos x)))

rewrite589.0ms (8.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3166×	`-lowering-.f32`
3166×	`-lowering-.f64`
2618×	`+-lowering-+.f64`
2618×	`+-lowering-+.f32`
2516×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	168
1	200	148
2	1854	148
0	8632	148

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 498

Calls

Call 1

Inputs
(/ (+ (sin x) 0) (+ 1 (cos x)))
(+ (sin x) 0)
(sin x)
(+ 1 (cos x))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (* x x))))
(+ 1/2 (* 1/24 (* x x)))
(* 1/24 (* x x))
(* x x)
(* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/240)))))
(+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/240))))
(* (* x x) (+ 1/24 (* (* x x) 1/240)))
(* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* (* x x) 17/40320)))))))
(+ 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* (* x x) 17/40320))))))
(* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* (* x x) 17/40320)))))
(cos x)
(* (* x x) 1/240)
(+ 1/24 (* (* x x) 1/240))
(* (* x x) 17/40320)
(* (* x x) (+ 1/240 (* (* x x) 17/40320)))

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (+.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (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 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(neg.f64 (/.f64 (sin.f64 x) (+.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))))
(neg.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))))
(/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64)) (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x))) (neg.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.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 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64)) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.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 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (sin.f64 x))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.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 (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))) (neg.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)))) (neg.f64 (neg.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64))) (+.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64)))
(/.f64 (neg.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) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (sin.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (cos.f64 x)) #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)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))
(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.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 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.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 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))))
(.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))))))
(.f64 (/.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 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal -1 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 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))))))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.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) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.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 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))))))
(.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 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) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (sin.f64 x))
(-.f64 (sin.f64 x) #s(literal 0 binary64))
(-.f64 (sin.f64 x) (/.f64 #s(literal 0 binary64) (sin.f64 x)))
(-.f64 (sin.f64 x) (/.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) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 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)))) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (sin.f64 x)))
(sin.f64 x)
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (neg.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x))))
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(/.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/240 binary64) (.f64 x x)))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/240 binary64) (.f64 x x))) (.f64 #s(literal 1/57600 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/240 binary64) (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/240 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 #s(literal 1/13824000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/240 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/57600 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/240 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/57600 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/576 binary64))) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/240 binary64)) #s(literal 1/24 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/576 binary64) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/240 binary64) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1/57600 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/240 binary64) (.f64 x x)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1/576 binary64) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/240 binary64) (.f64 x x)))) (/.f64 #s(literal 1/576 binary64) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/240 binary64) (.f64 x x))))) (+.f64 (.f64 (/.f64 (.f64 #s(literal 1/57600 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/240 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/57600 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/240 binary64) (.f64 x x))))) (.f64 (/.f64 #s(literal 1/576 binary64) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/240 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/57600 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/240 binary64) (*.f64 x x))))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/240 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/13824 binary64) (.f64 #s(literal 1/13824000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/240 binary64) (.f64 x x))) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/57600 binary64) (.f64 (.f64 x x) (.f64 x x))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 #s(literal 1/13824000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/240 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/240 binary64)) #s(literal 1/24 binary64))))))
(.f64 (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/57600 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/240 binary64) (*.f64 x x)))))
(.f64 x (.f64 x #s(literal 17/40320 binary64)))
(.f64 (.f64 x x) #s(literal 17/40320 binary64))
(.f64 #s(literal 17/40320 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 17/40320 binary64)) x)
(+.f64 (.f64 (.f64 x x) #s(literal 1/240 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 17/40320 binary64))))))
(+.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 17/40320 binary64))))) (.f64 (.f64 x x) #s(literal 1/240 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 1/57600 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (.f64 x x) #s(literal 1/240 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 17/40320 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (-.f64 (.f64 (.f64 x x) #s(literal 1/240 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))
(fma.f64 x (.f64 x #s(literal 1/240 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 17/40320 binary64))))))
(fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 17/40320 binary64)))) (.f64 (*.f64 x x) #s(literal 1/240 binary64)))
(fma.f64 x (.f64 (.f64 x #s(literal 17/40320 binary64)) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/240 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/240 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 17/40320 binary64))))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 17/40320 binary64))) (.f64 (*.f64 x x) #s(literal 1/240 binary64)))
(fma.f64 #s(literal 1/240 binary64) (.f64 x x) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 17/40320 binary64))))))
(fma.f64 #s(literal 17/40320 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/240 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 17/40320 binary64))) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/240 binary64)))
(fma.f64 (.f64 x #s(literal 1/240 binary64)) x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 17/40320 binary64))))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 17/40320 binary64)) (.f64 (*.f64 x x) #s(literal 1/240 binary64)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 17/40320 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 x #s(literal 17/40320 binary64))) x) x (.f64 (*.f64 x x) #s(literal 1/240 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 1/13824000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 4913/65548320768000 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (.f64 #s(literal 1/57600 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 17/40320 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 (.f64 (.f64 x x) #s(literal 1/240 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))))
(/.f64 (-.f64 (.f64 #s(literal 1/57600 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 17/40320 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (-.f64 (.f64 (.f64 x x) #s(literal 1/240 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/13824000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 4913/65548320768000 binary64))))) (+.f64 #s(literal 1/57600 binary64) (.f64 (.f64 x (.f64 x #s(literal 17/40320 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 17/40320 binary64))) #s(literal 1/240 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/57600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/1625702400 binary64)))) (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal -17/40320 binary64) (.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal 1/13824000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 4913/65548320768000 binary64)))) (.f64 x x)) (+.f64 #s(literal 1/57600 binary64) (.f64 (.f64 x (.f64 x #s(literal 17/40320 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 17/40320 binary64))) #s(literal 1/240 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/57600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/1625702400 binary64))) (.f64 x x)) (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal -17/40320 binary64) (.f64 x x))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/13824000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 4913/65548320768000 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (+.f64 (.f64 #s(literal 1/57600 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 17/40320 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 (.f64 (.f64 x x) #s(literal 1/240 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/57600 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 17/40320 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/240 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/13824000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 4913/65548320768000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/57600 binary64) (.f64 (.f64 x (.f64 x #s(literal 17/40320 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 17/40320 binary64))) #s(literal 1/240 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/57600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/1625702400 binary64))))) (neg.f64 (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal -17/40320 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/13824000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 4913/65548320768000 binary64)))) (.f64 x x))) (neg.f64 (+.f64 #s(literal 1/57600 binary64) (.f64 (.f64 x (.f64 x #s(literal 17/40320 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 17/40320 binary64))) #s(literal 1/240 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/57600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/1625702400 binary64))) (.f64 x x))) (neg.f64 (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal -17/40320 binary64) (.f64 x x)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 4913/65548320768000 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 1/13824000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 17/40320 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (-.f64 (.f64 #s(literal 1/57600 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 17/40320 binary64))))) (.f64 (.f64 x x) #s(literal 1/240 binary64))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))
(.f64 (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))) x)

simplify248.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

3400×	`-lowering-.f32`
3400×	`-lowering-.f64`
2448×	`/-lowering-/.f32`
2448×	`/-lowering-/.f64`
2446×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	127	1792
1	405	1683
2	1202	1672
3	3781	1650
0	8597	1650

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
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)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(* 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)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* 1/240 (pow x 5))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/240 (pow x 5))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(* 1/240 (pow x 4))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/240 (pow x 4))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))
(* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))
(* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))
(* 1/240 (pow x 4))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* 1/240 (pow x 4))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* 17/40320 (pow x 7))
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(* 17/40320 (pow x 7))
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(* 17/40320 (pow x 6))
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(* 17/40320 (pow x 6))
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))
(* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))
(* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))
(* 17/40320 (pow x 6))
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* 17/40320 (pow x 6))
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* 1/240 (pow x 2))
(* 1/240 (pow x 2))
(* 1/240 (pow x 2))
(* 1/240 (pow x 2))
(* 1/240 (pow x 2))
(* 1/240 (pow x 2))
(* 1/240 (pow x 2))
(* 1/240 (pow x 2))
(* 1/240 (pow x 2))
(* 1/240 (pow x 2))
(* 1/240 (pow x 2))
(* 1/240 (pow x 2))
1/24
(+ 1/24 (* 1/240 (pow x 2)))
(+ 1/24 (* 1/240 (pow x 2)))
(+ 1/24 (* 1/240 (pow x 2)))
(* 1/240 (pow x 2))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* 1/240 (pow x 2))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* 17/40320 (pow x 2))
(* 17/40320 (pow x 2))
(* 17/40320 (pow x 2))
(* 17/40320 (pow x 2))
(* 17/40320 (pow x 2))
(* 17/40320 (pow x 2))
(* 17/40320 (pow x 2))
(* 17/40320 (pow x 2))
(* 17/40320 (pow x 2))
(* 17/40320 (pow x 2))
(* 17/40320 (pow x 2))
(* 17/40320 (pow x 2))
(* 1/240 (pow x 2))
(* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))
(* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))
(* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))
(* 17/40320 (pow x 4))
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* 17/40320 (pow x 4))
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))

Outputs
(* 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 x (*.f64 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 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 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 x (*.f64 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 (*.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)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 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 x (*.f64 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 (*.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)
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 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))
(* 1/2 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))
(* 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 x (*.f64 x #s(literal 1/24 binary64)))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))
(+ 1/2 (* 1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))
(+ 1/2 (* 1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 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)
(* 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 x (*.f64 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 (* 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))))))
(* 1/240 (pow x 5))
(.f64 x (.f64 x (.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))))
(* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) (+.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) (+.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/240 (pow x 5))
(.f64 x (.f64 x (.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/240 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/240 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 x x))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(+.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)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(+.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)))))
(* 1/240 (pow x 4))
(.f64 x (.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/240 (pow x 4))
(.f64 x (.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))
(* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))
(* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))
(* 1/240 (pow x 4))
(.f64 x (.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))
(* 1/240 (pow x 4))
(.f64 x (.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 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 x (*.f64 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 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))))
(* 17/40320 (pow x 7))
(*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/240 binary64) (.f64 x x))))
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/240 binary64) (.f64 x x)) (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/240 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (*.f64 x x)))) (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 17/40320 (pow x 7))
(*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/240 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 17/40320 binary64) (/.f64 (+.f64 #s(literal -1/240 binary64) (/.f64 #s(literal -1/24 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/240 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(+.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)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64)))))))
(* 17/40320 (pow x 6))
(*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/240 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/240 binary64) (.f64 x x)) (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/240 binary64) (.f64 x x)) (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))))
(* 17/40320 (pow x 6))
(*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/240 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/240 binary64) (.f64 x x)) (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/240 binary64) (.f64 x x)) (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))
(* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64))))))
(* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64))))))
(* 17/40320 (pow x 6))
(*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/240 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/240 binary64) (.f64 x x)) (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/240 binary64) (.f64 x x)) (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* 17/40320 (pow x 6))
(*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/240 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/240 binary64) (.f64 x x)) (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/240 binary64) (.f64 x x)) (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
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 x (.f64 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 (.f64 x 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)
(* 1/240 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/240 binary64))
(* 1/240 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/240 binary64))
(* 1/240 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/240 binary64))
(* 1/240 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/240 binary64))
(* 1/240 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/240 binary64))
(* 1/240 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/240 binary64))
(* 1/240 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/240 binary64))
(* 1/240 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/240 binary64))
(* 1/240 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/240 binary64))
(* 1/240 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/240 binary64))
(* 1/240 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/240 binary64))
(* 1/240 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/240 binary64))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/240 (pow x 2)))
(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64)))
(+ 1/24 (* 1/240 (pow x 2)))
(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64)))
(+ 1/24 (* 1/240 (pow x 2)))
(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64)))
(* 1/240 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/240 binary64))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64)))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64)))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64)))
(* 1/240 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/240 binary64))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64)))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64)))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64)))
(* 17/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/40320 binary64))
(* 17/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/40320 binary64))
(* 17/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/40320 binary64))
(* 17/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/40320 binary64))
(* 17/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/40320 binary64))
(* 17/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/40320 binary64))
(* 17/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/40320 binary64))
(* 17/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/40320 binary64))
(* 17/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/40320 binary64))
(* 17/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/40320 binary64))
(* 17/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/40320 binary64))
(* 17/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/40320 binary64))
(* 1/240 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/240 binary64))
(* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64))))
(* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64))))
(* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64))))
(* 17/40320 (pow x 4))
(.f64 #s(literal 17/40320 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64))))
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64))))
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64))))
(* 17/40320 (pow x 4))
(.f64 #s(literal 17/40320 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64))))
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64))))
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64))))

eval114.0ms (1.7%)

Compiler: Compiled 21771 to 1940 computations (91.1% saved)

prune74.0ms (1.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	826	2	828
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	827	7	834

Accuracy

100.0%

Counts

834 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
▶	53.3%	(+.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x #s(literal 1/2 binary64)))
✓	53.2%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))))
✓	53.2%	(.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))))))
✓	53.3%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
✓	53.5%	(*.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Compiler

Compiled 77 to 51 computations (33.8% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	6528	(/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 1/24 binary64) (.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
✓	cost-diff	128	(+.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x #s(literal 1/2 binary64)))

Rules

38×	`-lowering-.f32`
38×	`-lowering-.f64`
24×	`fma-lowering-fma.f32`
24×	`fma-define`
24×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	30	43
2	52	41
3	60	41
0	60	41

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* x (* 1/24 (* x x))) (* x 1/2))
(* x (* 1/24 (* x x)))
x
(* 1/24 (* x x))
1/24
(* x x)
(* x 1/2)
1/2
(/ (sin x) (+ 1 (cos x)))
(sin x)
x
(+ 1 (cos x))
1
(cos x)

Outputs
(+ (* x (* 1/24 (* x x))) (* x 1/2))
(.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(* x (* 1/24 (* x x)))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
x
(* 1/24 (* x x))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
1/24
#s(literal 1/24 binary64)
(* x x)
(*.f64 x x)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(sin x)
(sin.f64 x)
x
(+ 1 (cos x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(cos x)
(cos.f64 x)

localize60.0ms (0.9%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.7%	(/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	accuracy	99.4%	(+.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x #s(literal 1/2 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
✓	accuracy	99.7%	(.f64 #s(literal 1/24 binary64) (.f64 x x))

Results

45.0ms

256×

valid

Compiler

Compiled 51 to 14 computations (72.5% saved)

Precisions

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

ival-mult: 7.0ms (24.2% of total)

...c/correct-round.rkt:119:19: 6.0ms (20.8% of total)

ival-sin: 6.0ms (20.8% of total)

ival-cos: 5.0ms (17.3% of total)

ival-add: 3.0ms (10.4% of total)

ival-div: 2.0ms (6.9% of total)

const: 1.0ms (3.5% of total)

backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts

9 → 108

Calls

Call 1

Inputs
#<alt (+ (* x (* 1/24 (* x x))) (* x 1/2))>
#<alt (* x (* 1/24 (* x x)))>
#<alt (* 1/24 (* x x))>
#<alt (* x x)>
#<alt (/ (sin x) (+ 1 (cos x)))>
#<alt (sin x)>
#<alt (+ 1 (cos x))>
#<alt (cos x)>
#<alt (* x 1/2)>

Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (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 (* 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 x) (+ 1 (cos x)))>
#<alt (/ (sin x) (+ 1 (cos x)))>
#<alt (/ (sin x) (+ 1 (cos x)))>
#<alt (/ (sin x) (+ 1 (cos x)))>
#<alt (/ (sin x) (+ 1 (cos x)))>
#<alt (/ (sin x) (+ 1 (cos x)))>
#<alt (/ (sin x) (+ 1 (cos x)))>
#<alt (/ (sin x) (+ 1 (cos 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 2>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<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 (* 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)>

Calls

27 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(* x (* 1/24 (* x x)))
0.0ms	x	@	inf	(+ (* x (* 1/24 (* x x))) (* x 1/2))
0.0ms	x	@	0	(+ (* x (* 1/24 (* x x))) (* x 1/2))
0.0ms	x	@	0	(* x (* 1/24 (* x x)))
0.0ms	x	@	inf	(* x (* 1/24 (* x x)))

rewrite273.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3390×	`-lowering-.f32`
3390×	`-lowering-.f64`
1972×	`sum3-define`
1848×	`/-lowering-/.f32`
1848×	`/-lowering-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	63	38
2	478	36
3	5399	36
0	8343	36

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 250

Calls

Call 1

Inputs
(+ (* x (* 1/24 (* x x))) (* x 1/2))
(* x (* 1/24 (* x x)))
(* 1/24 (* x x))
(* x x)
(/ (sin x) (+ 1 (cos x)))
(sin x)
(+ 1 (cos x))
(cos x)
(* x 1/2)

Outputs
(+.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 x #s(literal 2 binary64)))
(+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)))) (neg.f64 (/.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(-.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 x #s(literal -2 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)))) (/.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x)) (/.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(fma.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x)) (/.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64)) (/.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) x (/.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(fma.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x) (/.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (/.f64 x #s(literal 2 binary64)))
(neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))))))
(neg.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))))) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)))) (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/576 binary64)))))))
(/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))))) (.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/64 binary64)))) (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))))))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) #s(literal 1/8 binary64)))) (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) #s(literal 1/8 binary64)))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) #s(literal 1/8 binary64)))) (.f64 (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64))) (+.f64 (.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal 1/4 binary64)))))))
(/.f64 (.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal 1/4 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)))) (.f64 (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/576 binary64))) #s(literal 1/4 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))))) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)))) (.f64 (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64))) (/.f64 (.f64 x x) #s(literal 4 binary64)))) (.f64 (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64))) (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))))) (.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/64 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))))) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))))
(/.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) #s(literal 1/8 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) #s(literal 1/8 binary64))) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64))))))
(/.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) #s(literal 1/8 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal 1/4 binary64))))) (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal 1/4 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal 1/4 binary64))) (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))))) (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))))
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(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) (neg.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) (+.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x)))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (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)))))
(cos.f64 x)
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))

simplify185.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

3254×	`-lowering-.f32`
3254×	`-lowering-.f64`
1980×	`+-lowering-+.f64`
1980×	`+-lowering-+.f32`
1920×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	70	550
1	199	520
2	570	517
3	1825	517
4	3052	517
5	6613	517
0	8185	517

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* 1/2 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)

Outputs
(* 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 x (*.f64 x #s(literal 1/24 binary64)))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 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)
(* 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 x (*.f64 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 x) (+ 1 (cos x)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
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 x (*.f64 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)
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal -1/720 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 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 x (.f64 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 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 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)
(* 1/2 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))

eval79.0ms (1.2%)

Compiler: Compiled 7621 to 773 computations (89.9% saved)

prune51.0ms (0.8%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	356	2	358
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	356	9	365

Accuracy

100.0%

Counts

365 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	53.3%	(+.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x #s(literal 1/2 binary64)))
▶	12.6%	(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/48 binary64)))))
▶	17.9%	(.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) #s(literal 1/8 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal 1/4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))
✓	53.2%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))))
✓	53.2%	(.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))))))
✓	53.3%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
✓	53.5%	(*.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Compiler

Compiled 239 to 106 computations (55.6% saved)

simplify226.0ms (3.4%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	512	(+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/48 binary64))))
✓	cost-diff	640	(.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/48 binary64)))))
✓	cost-diff	1152	(/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/48 binary64))))))
✓	cost-diff	3456	(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/48 binary64)))))
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)))
✓	cost-diff	512	(+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal 1/4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/48 binary64))))
✓	cost-diff	512	(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) #s(literal 1/8 binary64))))
✓	cost-diff	1280	(.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) #s(literal 1/8 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal 1/4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))

Rules

4010×	`+-lowering-+.f64`
4010×	`+-lowering-+.f32`
3912×	`-lowering-.f32`
3912×	`-lowering-.f64`
1648×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	598
1	171	495
2	912	399
3	4622	389
4	7760	389
0	8041	389

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x (* x x)) (- (* (* x (* x x)) (* (* x (* x x)) 1/13824)) 1/8))) (+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) 1/4)) (* (* x x) (* (* x x) 1/48))))
(/ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x (* x x)) (- (* (* x (* x x)) (* (* x (* x x)) 1/13824)) 1/8)))
(* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4))
(* x x)
x
(+ (* (* x x) (* (* x x) 1/576)) -1/4)
(* (* x x) (* (* x x) 1/576))
(* (* x x) 1/576)
1/576
-1/4
(* (* x (* x x)) (- (* (* x (* x x)) (* (* x (* x x)) 1/13824)) 1/8))
(* x (* x x))
(- (* (* x (* x x)) (* (* x (* x x)) 1/13824)) 1/8)
(* (* x (* x x)) (* (* x (* x x)) 1/13824))
(* (* x (* x x)) 1/13824)
1/13824
1/8
(+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) 1/4)) (* (* x x) (* (* x x) 1/48)))
(* (* x x) (+ (* (* x x) (* (* x x) 1/576)) 1/4))
(+ (* (* x x) (* (* x x) 1/576)) 1/4)
1/4
(* (* x x) (* (* x x) 1/48))
(* (* x x) 1/48)
1/48
(* (/ (* (* x (* x x)) (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824)))) (* (+ (/ (* x x) 4) (* (* (* x x) (* 1/24 (* x x))) (+ (* 1/24 (* x x)) -1/2))) (+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x x) (* (* x x) 1/48))))) (+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x x) (* (* x x) 1/48))))
(/ (* (* x (* x x)) (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824)))) (* (+ (/ (* x x) 4) (* (* (* x x) (* 1/24 (* x x))) (+ (* 1/24 (* x x)) -1/2))) (+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x x) (* (* x x) 1/48)))))
(* (* x (* x x)) (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))))
(* x (* x x))
x
(* x x)
(+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824)))
1/8
(* (* x (* x x)) (* (* x (* x x)) 1/13824))
(* (* x (* x x)) 1/13824)
1/13824
(* (+ (/ (* x x) 4) (* (* (* x x) (* 1/24 (* x x))) (+ (* 1/24 (* x x)) -1/2))) (+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x x) (* (* x x) 1/48))))
(+ (/ (* x x) 4) (* (* (* x x) (* 1/24 (* x x))) (+ (* 1/24 (* x x)) -1/2)))
(/ (* x x) 4)
4
(* (* (* x x) (* 1/24 (* x x))) (+ (* 1/24 (* x x)) -1/2))
(* (* x x) (* 1/24 (* x x)))
(* 1/24 (* x x))
1/24
(+ (* 1/24 (* x x)) -1/2)
-1/2
(+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x x) (* (* x x) 1/48)))
(* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4))
(+ (* (* x x) (* (* x x) 1/576)) -1/4)
(* (* x x) (* (* x x) 1/576))
(* (* x x) 1/576)
1/576
-1/4
(* (* x x) (* (* x x) 1/48))
(* (* x x) 1/48)
1/48

Outputs
(* (/ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x (* x x)) (- (* (* x (* x x)) (* (* x (* x x)) 1/13824)) 1/8))) (+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) 1/4)) (* (* x x) (* (* x x) 1/48))))
(.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) (.f64 x (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) #s(literal -1/8 binary64)))))
(/ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x (* x x)) (- (* (* x (* x x)) (* (* x (* x x)) 1/13824)) 1/8)))
(/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)) (.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) #s(literal -1/8 binary64))))
(* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4))
(.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))))
(* x x)
(*.f64 x x)
x
(+ (* (* x x) (* (* x x) 1/576)) -1/4)
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))
(* (* x x) (* (* x x) 1/576))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)))
(* (* x x) 1/576)
(.f64 (.f64 x x) #s(literal 1/576 binary64))
1/576
#s(literal 1/576 binary64)
-1/4
#s(literal -1/4 binary64)
(* (* x (* x x)) (- (* (* x (* x x)) (* (* x (* x x)) 1/13824)) 1/8))
(.f64 x (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) #s(literal -1/8 binary64))))
(* x (* x x))
(.f64 x (.f64 x x))
(- (* (* x (* x x)) (* (* x (* x x)) 1/13824)) 1/8)
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) #s(literal -1/8 binary64))
(* (* x (* x x)) (* (* x (* x x)) 1/13824))
(.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))
(* (* x (* x x)) 1/13824)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))
1/13824
#s(literal 1/13824 binary64)
1/8
#s(literal 1/8 binary64)
(+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) 1/4)) (* (* x x) (* (* x x) 1/48)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))
(* (* x x) (+ (* (* x x) (* (* x x) 1/576)) 1/4))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal 1/4 binary64)))
(+ (* (* x x) (* (* x x) 1/576)) 1/4)
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(* (* x x) (* (* x x) 1/48))
(.f64 #s(literal 1/48 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (* x x) 1/48)
(.f64 (.f64 x x) #s(literal 1/48 binary64))
1/48
#s(literal 1/48 binary64)
(* (/ (* (* x (* x x)) (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824)))) (* (+ (/ (* x x) 4) (* (* (* x x) (* 1/24 (* x x))) (+ (* 1/24 (* x x)) -1/2))) (+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x x) (* (* x x) 1/48))))) (+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x x) (* (* x x) 1/48))))
(/.f64 (.f64 x (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) #s(literal 1/8 binary64)))) (.f64 x (+.f64 (/.f64 x #s(literal 4 binary64)) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
(/ (* (* x (* x x)) (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824)))) (* (+ (/ (* x x) 4) (* (* (* x x) (* 1/24 (* x x))) (+ (* 1/24 (* x x)) -1/2))) (+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x x) (* (* x x) 1/48)))))
(/.f64 (/.f64 (.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) #s(literal 1/8 binary64))) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))) (.f64 x (+.f64 (/.f64 x #s(literal 4 binary64)) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
(* (* x (* x x)) (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))))
(.f64 x (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) #s(literal 1/8 binary64))))
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824)))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) #s(literal 1/8 binary64))
1/8
#s(literal 1/8 binary64)
(* (* x (* x x)) (* (* x (* x x)) 1/13824))
(.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))
(* (* x (* x x)) 1/13824)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))
1/13824
#s(literal 1/13824 binary64)
(* (+ (/ (* x x) 4) (* (* (* x x) (* 1/24 (* x x))) (+ (* 1/24 (* x x)) -1/2))) (+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x x) (* (* x x) 1/48))))
(.f64 x (.f64 (.f64 x (+.f64 (/.f64 x #s(literal 4 binary64)) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))) (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))))
(+ (/ (* x x) 4) (* (* (* x x) (* 1/24 (* x x))) (+ (* 1/24 (* x x)) -1/2)))
(.f64 x (+.f64 (/.f64 x #s(literal 4 binary64)) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
(/ (* x x) 4)
(/.f64 (*.f64 x x) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(* (* (* x x) (* 1/24 (* x x))) (+ (* 1/24 (* x x)) -1/2))
(.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(* (* x x) (* 1/24 (* x x)))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/24 (* x x))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(+ (* 1/24 (* x x)) -1/2)
(+.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x x) (* (* x x) 1/48)))
(.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
(* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4))
(.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))))
(+ (* (* x x) (* (* x x) 1/576)) -1/4)
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))
(* (* x x) (* (* x x) 1/576))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)))
(* (* x x) 1/576)
(.f64 (.f64 x x) #s(literal 1/576 binary64))
1/576
#s(literal 1/576 binary64)
-1/4
#s(literal -1/4 binary64)
(* (* x x) (* (* x x) 1/48))
(.f64 #s(literal 1/48 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (* x x) 1/48)
(.f64 (.f64 x x) #s(literal 1/48 binary64))
1/48
#s(literal 1/48 binary64)

localize258.0ms (3.9%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/576 binary64))
✓	accuracy	99.7%	(.f64 #s(literal 1/24 binary64) (.f64 x x))
✓	accuracy	43.1%	(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/48 binary64)))))
✓	accuracy	18.2%	(/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/48 binary64))))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/48 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/576 binary64))
✓	accuracy	43.1%	(.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) #s(literal 1/8 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal 1/4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))
✓	accuracy	26.7%	(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) #s(literal 1/8 binary64))))

Results

170.0ms

256×

valid

Compiler

Compiled 713 to 40 computations (94.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 44.0ms (51.5% of total)

...c/correct-round.rkt:119:19: 14.0ms (16.4% of total)

ival-sub: 13.0ms (15.2% of total)

ival-add: 8.0ms (9.4% of total)

ival-div: 5.0ms (5.9% of total)

const: 1.0ms (1.2% of total)

backward-pass: 0.0ms (0% of total)

series21.0ms (0.3%)

Counts

11 → 132

Calls

Call 1

Inputs
#<alt (* (/ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x (* x x)) (- (* (* x (* x x)) (* (* x (* x x)) 1/13824)) 1/8))) (+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) 1/4)) (* (* x x) (* (* x x) 1/48))))>
#<alt (/ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x (* x x)) (- (* (* x (* x x)) (* (* x (* x x)) 1/13824)) 1/8)))>
#<alt (+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) 1/4)) (* (* x x) (* (* x x) 1/48)))>
#<alt (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4))>
#<alt (* (/ (* (* x (* x x)) (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824)))) (* (+ (/ (* x x) 4) (* (* (* x x) (* 1/24 (* x x))) (+ (* 1/24 (* x x)) -1/2))) (+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x x) (* (* x x) 1/48))))) (+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x x) (* (* x x) 1/48))))>
#<alt (/ (* (* x (* x x)) (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824)))) (* (+ (/ (* x x) 4) (* (* (* x x) (* 1/24 (* x x))) (+ (* 1/24 (* x x)) -1/2))) (+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x x) (* (* x x) 1/48)))))>
#<alt (* (+ (/ (* x x) 4) (* (* (* x x) (* 1/24 (* x x))) (+ (* 1/24 (* x x)) -1/2))) (+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x x) (* (* x x) 1/48))))>
#<alt (+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x x) (* (* x x) 1/48)))>
#<alt (* (* x x) 1/576)>
#<alt (* (* x x) 1/48)>
#<alt (* 1/24 (* x x))>

Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* -1/72 (pow x 4))) x)>
#<alt (/ (+ 2 (* (pow x 4) (- (* 1/864 (pow x 2)) 1/72))) x)>
#<alt (/ (+ 2 (* (pow x 4) (- (* (pow x 2) (+ 1/864 (* -1/124416 (pow x 4)))) 1/72))) x)>
#<alt (/ 24 (pow x 3))>
#<alt (/ (- 24 (* 3456 (/ 1 (pow x 4)))) (pow x 3))>
#<alt (/ (- (+ 24 (/ 41472 (pow x 6))) (* 3456 (/ 1 (pow x 4)))) (pow x 3))>
#<alt (/ (- (+ 24 (/ 41472 (pow x 6))) (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10))))) (pow x 3))>
#<alt (/ 24 (pow x 3))>
#<alt (* -1 (/ (- (* 3456 (/ 1 (pow x 4))) 24) (pow x 3)))>
#<alt (* -1 (/ (- (* 3456 (/ 1 (pow x 4))) (+ 24 (/ 41472 (pow x 6)))) (pow x 3)))>
#<alt (* -1 (/ (- (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10)))) (+ 24 (/ 41472 (pow x 6)))) (pow x 3)))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* 1/48 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/576 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/576 (pow x 2))))))>
#<alt (* 1/576 (pow x 6))>
#<alt (* (pow x 6) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/576 (+ (/ 1/4 (pow x 4)) (* 1/48 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/576 (+ (/ 1/4 (pow x 4)) (* 1/48 (/ 1 (pow x 2))))))>
#<alt (* 1/576 (pow x 6))>
#<alt (* (pow x 6) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/576 (+ (/ 1/4 (pow x 4)) (* 1/48 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/576 (+ (/ 1/4 (pow x 4)) (* 1/48 (/ 1 (pow x 2))))))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/576 (pow x 4)) 1/4))>
#<alt (* (pow x 2) (- (* 1/576 (pow x 4)) 1/4))>
#<alt (* (pow x 2) (- (* 1/576 (pow x 4)) 1/4))>
#<alt (* 1/576 (pow x 6))>
#<alt (* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* 1/576 (pow x 6))>
#<alt (* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (/ -2 x)>
#<alt (/ (- (* -1/3 (pow x 2)) 2) x)>
#<alt (/ (- (* (pow x 2) (- (* -1/24 (pow x 2)) 1/3)) 2) x)>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -5/864 (pow x 2)) 1/24)) 1/3)) 2) x)>
#<alt (/ 24 (pow x 3))>
#<alt (/ (+ 24 (* 3456 (/ 1 (pow x 4)))) (pow x 3))>
#<alt (/ (- (+ 24 (* 3456 (/ 1 (pow x 4)))) (/ 41472 (pow x 6))) (pow x 3))>
#<alt (/ (- (+ 24 (+ (* 3456 (/ 1 (pow x 4))) (* 995328 (/ 1 (pow x 8))))) (/ 41472 (pow x 6))) (pow x 3))>
#<alt (/ 24 (pow x 3))>
#<alt (/ (+ 24 (* 3456 (/ 1 (pow x 4)))) (pow x 3))>
#<alt (* -1 (/ (- (/ 41472 (pow x 6)) (+ 24 (* 3456 (/ 1 (pow x 4))))) (pow x 3)))>
#<alt (* -1 (/ (- (/ 41472 (pow x 6)) (+ 24 (+ (* 3456 (/ 1 (pow x 4))) (* 995328 (/ 1 (pow x 8)))))) (pow x 3)))>
#<alt (* -1/16 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/96 (pow x 2)) 1/16))>
#<alt (* (pow x 4) (- (* (pow x 2) (+ 1/96 (* -1/2304 (pow x 2)))) 1/16))>
#<alt (* (pow x 4) (- (* (pow x 2) (+ 1/96 (* (pow x 2) (- (* 1/331776 (pow x 4)) 1/2304)))) 1/16))>
#<alt (* 1/331776 (pow x 12))>
#<alt (* (pow x 12) (- 1/331776 (* 1/2304 (/ 1 (pow x 4)))))>
#<alt (* (pow x 12) (- (+ 1/331776 (/ 1/96 (pow x 6))) (* 1/2304 (/ 1 (pow x 4)))))>
#<alt (* (pow x 12) (- (+ 1/331776 (/ 1/96 (pow x 6))) (+ (* 1/2304 (/ 1 (pow x 4))) (* 1/16 (/ 1 (pow x 8))))))>
#<alt (* 1/331776 (pow x 12))>
#<alt (* (pow x 12) (- 1/331776 (* 1/2304 (/ 1 (pow x 4)))))>
#<alt (* (pow x 12) (- (+ 1/331776 (/ 1/96 (pow x 6))) (* 1/2304 (/ 1 (pow x 4)))))>
#<alt (* (pow x 12) (- (+ 1/331776 (/ 1/96 (pow x 6))) (+ (* 1/2304 (/ 1 (pow x 4))) (* 1/16 (/ 1 (pow x 8))))))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* 1/576 (pow x 2)))) 1/4))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* 1/576 (pow x 2)))) 1/4))>
#<alt (* 1/576 (pow x 6))>
#<alt (* (pow x 6) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/576 (* 1/48 (/ 1 (pow x 2)))) (/ 1/4 (pow x 4))))>
#<alt (* (pow x 6) (- (+ 1/576 (* 1/48 (/ 1 (pow x 2)))) (/ 1/4 (pow x 4))))>
#<alt (* 1/576 (pow x 6))>
#<alt (* (pow x 6) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/576 (* 1/48 (/ 1 (pow x 2)))) (/ 1/4 (pow x 4))))>
#<alt (* (pow x 6) (- (+ 1/576 (* 1/48 (/ 1 (pow x 2)))) (/ 1/4 (pow x 4))))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/48 (pow x 2))>
#<alt (* 1/48 (pow x 2))>
#<alt (* 1/48 (pow x 2))>
#<alt (* 1/48 (pow x 2))>
#<alt (* 1/48 (pow x 2))>
#<alt (* 1/48 (pow x 2))>
#<alt (* 1/48 (pow x 2))>
#<alt (* 1/48 (pow x 2))>
#<alt (* 1/48 (pow x 2))>
#<alt (* 1/48 (pow x 2))>
#<alt (* 1/48 (pow x 2))>
#<alt (* 1/48 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>

Calls

33 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(/ (* (* x (* x x)) (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824)))) (* (+ (/ (* x x) 4) (* (* (* x x) (* 1/24 (* x x))) (+ (* 1/24 (* x x)) -1/2))) (+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x x) (* (* x x) 1/48)))))
2.0ms	x	@	0	(* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4))
2.0ms	x	@	inf	(* (/ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x (* x x)) (- (* (* x (* x x)) (* (* x (* x x)) 1/13824)) 1/8))) (+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) 1/4)) (* (* x x) (* (* x x) 1/48))))
1.0ms	x	@	0	(* (/ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x (* x x)) (- (* (* x (* x x)) (* (* x (* x x)) 1/13824)) 1/8))) (+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) 1/4)) (* (* x x) (* (* x x) 1/48))))
1.0ms	x	@	inf	(* (/ (* (* x (* x x)) (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824)))) (* (+ (/ (* x x) 4) (* (* (* x x) (* 1/24 (* x x))) (+ (* 1/24 (* x x)) -1/2))) (+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x x) (* (* x x) 1/48))))) (+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x x) (* (* x x) 1/48))))

rewrite590.0ms (8.9%)

Algorithm

1×	batch-egg-rewrite

Rules

5102×	`-lowering-.f32`
5102×	`-lowering-.f64`
2514×	`/-lowering-/.f32`
2514×	`/-lowering-/.f64`
1736×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	330
1	286	242
2	3250	236
0	8693	236

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 660

Calls

Call 1

Inputs
(* (/ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x (* x x)) (- (* (* x (* x x)) (* (* x (* x x)) 1/13824)) 1/8))) (+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) 1/4)) (* (* x x) (* (* x x) 1/48))))
(/ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x (* x x)) (- (* (* x (* x x)) (* (* x (* x x)) 1/13824)) 1/8)))
(+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) 1/4)) (* (* x x) (* (* x x) 1/48)))
(* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4))
(* (/ (* (* x (* x x)) (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824)))) (* (+ (/ (* x x) 4) (* (* (* x x) (* 1/24 (* x x))) (+ (* 1/24 (* x x)) -1/2))) (+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x x) (* (* x x) 1/48))))) (+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x x) (* (* x x) 1/48))))
(/ (* (* x (* x x)) (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824)))) (* (+ (/ (* x x) 4) (* (* (* x x) (* 1/24 (* x x))) (+ (* 1/24 (* x x)) -1/2))) (+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x x) (* (* x x) 1/48)))))
(* (+ (/ (* x x) 4) (* (* (* x x) (* 1/24 (* x x))) (+ (* 1/24 (* x x)) -1/2))) (+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x x) (* (* x x) 1/48))))
(+ (* (* x x) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* (* x x) (* (* x x) 1/48)))
(* (* x x) 1/576)
(* (* x x) 1/48)
(* 1/24 (* x x))

Outputs
(+.f64 (/.f64 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal 1/4 binary64)))) (.f64 x (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))))) #s(literal -1/8 binary64)) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/48 binary64)))) (.f64 x (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))))) #s(literal -1/8 binary64)) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))))))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/48 binary64)))) (.f64 x (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))))) #s(literal -1/8 binary64)) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))))) (/.f64 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal 1/4 binary64)))) (.f64 x (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))))) #s(literal -1/8 binary64)) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))))))
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(.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))
(.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/110592 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))) (.f64 x (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))) (.f64 x (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/48 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/48 binary64)))) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)))))))))
(.f64 (.f64 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))) (.f64 (.f64 x x) (-.f64 (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) (.f64 (.f64 x x) #s(literal 1/48 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) (.f64 (.f64 x x) #s(literal 1/48 binary64))))))
(.f64 (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64)))) (.f64 x x))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(.f64 #s(literal 1/576 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/576 binary64)) x)
(.f64 x (.f64 x #s(literal 1/48 binary64)))
(.f64 (.f64 x x) #s(literal 1/48 binary64))
(.f64 #s(literal 1/48 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/48 binary64)) x)
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/24 binary64)) x)

simplify260.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

3352×	`+-lowering-+.f64`
3352×	`+-lowering-+.f32`
2842×	`-lowering-.f32`
2842×	`-lowering-.f64`
1290×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	1252
1	497	1201
2	1425	1195
3	4088	1195
0	8154	1195

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(/ 2 x)
(/ (+ 2 (* -1/72 (pow x 4))) x)
(/ (+ 2 (* (pow x 4) (- (* 1/864 (pow x 2)) 1/72))) x)
(/ (+ 2 (* (pow x 4) (- (* (pow x 2) (+ 1/864 (* -1/124416 (pow x 4)))) 1/72))) x)
(/ 24 (pow x 3))
(/ (- 24 (* 3456 (/ 1 (pow x 4)))) (pow x 3))
(/ (- (+ 24 (/ 41472 (pow x 6))) (* 3456 (/ 1 (pow x 4)))) (pow x 3))
(/ (- (+ 24 (/ 41472 (pow x 6))) (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10))))) (pow x 3))
(/ 24 (pow x 3))
(* -1 (/ (- (* 3456 (/ 1 (pow x 4))) 24) (pow x 3)))
(* -1 (/ (- (* 3456 (/ 1 (pow x 4))) (+ 24 (/ 41472 (pow x 6)))) (pow x 3)))
(* -1 (/ (- (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10)))) (+ 24 (/ 41472 (pow x 6)))) (pow x 3)))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* 1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/576 (pow x 2))))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/576 (pow x 2))))))
(* 1/576 (pow x 6))
(* (pow x 6) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/576 (+ (/ 1/4 (pow x 4)) (* 1/48 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/576 (+ (/ 1/4 (pow x 4)) (* 1/48 (/ 1 (pow x 2))))))
(* 1/576 (pow x 6))
(* (pow x 6) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/576 (+ (/ 1/4 (pow x 4)) (* 1/48 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/576 (+ (/ 1/4 (pow x 4)) (* 1/48 (/ 1 (pow x 2))))))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/576 (pow x 4)) 1/4))
(* (pow x 2) (- (* 1/576 (pow x 4)) 1/4))
(* (pow x 2) (- (* 1/576 (pow x 4)) 1/4))
(* 1/576 (pow x 6))
(* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))
(* 1/576 (pow x 6))
(* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(/ -2 x)
(/ (- (* -1/3 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -1/24 (pow x 2)) 1/3)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -5/864 (pow x 2)) 1/24)) 1/3)) 2) x)
(/ 24 (pow x 3))
(/ (+ 24 (* 3456 (/ 1 (pow x 4)))) (pow x 3))
(/ (- (+ 24 (* 3456 (/ 1 (pow x 4)))) (/ 41472 (pow x 6))) (pow x 3))
(/ (- (+ 24 (+ (* 3456 (/ 1 (pow x 4))) (* 995328 (/ 1 (pow x 8))))) (/ 41472 (pow x 6))) (pow x 3))
(/ 24 (pow x 3))
(/ (+ 24 (* 3456 (/ 1 (pow x 4)))) (pow x 3))
(* -1 (/ (- (/ 41472 (pow x 6)) (+ 24 (* 3456 (/ 1 (pow x 4))))) (pow x 3)))
(* -1 (/ (- (/ 41472 (pow x 6)) (+ 24 (+ (* 3456 (/ 1 (pow x 4))) (* 995328 (/ 1 (pow x 8)))))) (pow x 3)))
(* -1/16 (pow x 4))
(* (pow x 4) (- (* 1/96 (pow x 2)) 1/16))
(* (pow x 4) (- (* (pow x 2) (+ 1/96 (* -1/2304 (pow x 2)))) 1/16))
(* (pow x 4) (- (* (pow x 2) (+ 1/96 (* (pow x 2) (- (* 1/331776 (pow x 4)) 1/2304)))) 1/16))
(* 1/331776 (pow x 12))
(* (pow x 12) (- 1/331776 (* 1/2304 (/ 1 (pow x 4)))))
(* (pow x 12) (- (+ 1/331776 (/ 1/96 (pow x 6))) (* 1/2304 (/ 1 (pow x 4)))))
(* (pow x 12) (- (+ 1/331776 (/ 1/96 (pow x 6))) (+ (* 1/2304 (/ 1 (pow x 4))) (* 1/16 (/ 1 (pow x 8))))))
(* 1/331776 (pow x 12))
(* (pow x 12) (- 1/331776 (* 1/2304 (/ 1 (pow x 4)))))
(* (pow x 12) (- (+ 1/331776 (/ 1/96 (pow x 6))) (* 1/2304 (/ 1 (pow x 4)))))
(* (pow x 12) (- (+ 1/331776 (/ 1/96 (pow x 6))) (+ (* 1/2304 (/ 1 (pow x 4))) (* 1/16 (/ 1 (pow x 8))))))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/48 (pow x 2)) 1/4))
(* (pow x 2) (- (* (pow x 2) (+ 1/48 (* 1/576 (pow x 2)))) 1/4))
(* (pow x 2) (- (* (pow x 2) (+ 1/48 (* 1/576 (pow x 2)))) 1/4))
(* 1/576 (pow x 6))
(* (pow x 6) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/576 (* 1/48 (/ 1 (pow x 2)))) (/ 1/4 (pow x 4))))
(* (pow x 6) (- (+ 1/576 (* 1/48 (/ 1 (pow x 2)))) (/ 1/4 (pow x 4))))
(* 1/576 (pow x 6))
(* (pow x 6) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/576 (* 1/48 (/ 1 (pow x 2)))) (/ 1/4 (pow x 4))))
(* (pow x 6) (- (+ 1/576 (* 1/48 (/ 1 (pow x 2)))) (/ 1/4 (pow x 4))))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/48 (pow x 2))
(* 1/48 (pow x 2))
(* 1/48 (pow x 2))
(* 1/48 (pow x 2))
(* 1/48 (pow x 2))
(* 1/48 (pow x 2))
(* 1/48 (pow x 2))
(* 1/48 (pow x 2))
(* 1/48 (pow x 2))
(* 1/48 (pow x 2))
(* 1/48 (pow x 2))
(* 1/48 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))

Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/72 (pow x 4))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/72 binary64) (.f64 x (.f64 x (.f64 x x))))) x)
(/ (+ 2 (* (pow x 4) (- (* 1/864 (pow x 2)) 1/72))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/72 binary64) (.f64 x (.f64 x #s(literal 1/864 binary64)))))) x)
(/ (+ 2 (* (pow x 4) (- (* (pow x 2) (+ 1/864 (* -1/124416 (pow x 4)))) 1/72))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/72 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/864 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/124416 binary64))))))) x)
(/ 24 (pow x 3))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))
(/ (- 24 (* 3456 (/ 1 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -3456 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (*.f64 x x)))
(/ (- (+ 24 (/ 41472 (pow x 6))) (* 3456 (/ 1 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 #s(literal 24 binary64) (+.f64 (/.f64 #s(literal 41472 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -3456 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (*.f64 x x)))
(/ (- (+ 24 (/ 41472 (pow x 6))) (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10))))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal -3456 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 41472 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 5971968 binary64) (pow.f64 x #s(literal 10 binary64)))))) (.f64 x (*.f64 x x)))
(/ 24 (pow x 3))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))
(* -1 (/ (- (* 3456 (/ 1 (pow x 4))) 24) (pow x 3)))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -3456 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* 3456 (/ 1 (pow x 4))) (+ 24 (/ 41472 (pow x 6)))) (pow x 3)))
(/.f64 (+.f64 #s(literal 24 binary64) (+.f64 (/.f64 #s(literal 41472 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -3456 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10)))) (+ 24 (/ 41472 (pow x 6)))) (pow x 3)))
(/.f64 (+.f64 (/.f64 #s(literal -3456 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 41472 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 5971968 binary64) (pow.f64 x #s(literal 10 binary64)))))) (.f64 x (*.f64 x x)))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/4 (* 1/48 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64))))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/576 (pow x 2))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/576 (pow x 2))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))))))
(* 1/576 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/576 binary64))
(* (pow x 6) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/576 (+ (/ 1/4 (pow x 4)) (* 1/48 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/576 binary64) (+.f64 (/.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/576 (+ (/ 1/4 (pow x 4)) (* 1/48 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/576 binary64) (+.f64 (/.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/576 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/576 binary64))
(* (pow x 6) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/576 (+ (/ 1/4 (pow x 4)) (* 1/48 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/576 binary64) (+.f64 (/.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/576 (+ (/ 1/4 (pow x 4)) (* 1/48 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/576 binary64) (+.f64 (/.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* -1/4 (pow x 2))
(.f64 x (.f64 x #s(literal -1/4 binary64)))
(* (pow x 2) (- (* 1/576 (pow x 4)) 1/4))
(.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)))))
(* (pow x 2) (- (* 1/576 (pow x 4)) 1/4))
(.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)))))
(* (pow x 2) (- (* 1/576 (pow x 4)) 1/4))
(.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)))))
(* 1/576 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/576 binary64))
(* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* 1/576 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/576 binary64))
(* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -1/3 (pow x 2)) 2) x)
(+.f64 (.f64 (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -1/24 (pow x 2)) 1/3)) 2) x)
(+.f64 (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))) (.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -5/864 (pow x 2)) 1/24)) 1/3)) 2) x)
(+.f64 (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal -5/864 binary64))))) (.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -2 binary64) x))
(/ 24 (pow x 3))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))
(/ (+ 24 (* 3456 (/ 1 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 3456 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (*.f64 x x)))
(/ (- (+ 24 (* 3456 (/ 1 (pow x 4)))) (/ 41472 (pow x 6))) (pow x 3))
(/.f64 (-.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -41472 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -3456 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (*.f64 x x)))
(/ (- (+ 24 (+ (* 3456 (/ 1 (pow x 4))) (* 995328 (/ 1 (pow x 8))))) (/ 41472 (pow x 6))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 3456 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 995328 binary64) (pow.f64 x #s(literal 8 binary64))) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -41472 binary64) (pow.f64 x #s(literal 6 binary64)))))) (.f64 x (*.f64 x x)))
(/ 24 (pow x 3))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))
(/ (+ 24 (* 3456 (/ 1 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 3456 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (/ 41472 (pow x 6)) (+ 24 (* 3456 (/ 1 (pow x 4))))) (pow x 3)))
(/.f64 (-.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -41472 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -3456 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (/ 41472 (pow x 6)) (+ 24 (+ (* 3456 (/ 1 (pow x 4))) (* 995328 (/ 1 (pow x 8)))))) (pow x 3)))
(/.f64 (+.f64 (/.f64 #s(literal 3456 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 995328 binary64) (pow.f64 x #s(literal 8 binary64))) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -41472 binary64) (pow.f64 x #s(literal 6 binary64)))))) (.f64 x (*.f64 x x)))
(* -1/16 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/16 binary64))
(* (pow x 4) (- (* 1/96 (pow x 2)) 1/16))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x #s(literal 1/96 binary64)))))
(* (pow x 4) (- (* (pow x 2) (+ 1/96 (* -1/2304 (pow x 2)))) 1/16))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/96 binary64) (.f64 (.f64 x x) #s(literal -1/2304 binary64)))))))
(* (pow x 4) (- (* (pow x 2) (+ 1/96 (* (pow x 2) (- (* 1/331776 (pow x 4)) 1/2304)))) 1/16))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/96 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2304 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/331776 binary64))))))))
(* 1/331776 (pow x 12))
(*.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (- 1/331776 (* 1/2304 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/331776 binary64) (/.f64 #s(literal -1/2304 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 12) (- (+ 1/331776 (/ 1/96 (pow x 6))) (* 1/2304 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/331776 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2304 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 12) (- (+ 1/331776 (/ 1/96 (pow x 6))) (+ (* 1/2304 (/ 1 (pow x 4))) (* 1/16 (/ 1 (pow x 8))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/331776 binary64) (+.f64 (/.f64 #s(literal -1/2304 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 8 binary64)))))))
(* 1/331776 (pow x 12))
(*.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (- 1/331776 (* 1/2304 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/331776 binary64) (/.f64 #s(literal -1/2304 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 12) (- (+ 1/331776 (/ 1/96 (pow x 6))) (* 1/2304 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/331776 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2304 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 12) (- (+ 1/331776 (/ 1/96 (pow x 6))) (+ (* 1/2304 (/ 1 (pow x 4))) (* 1/16 (/ 1 (pow x 8))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/331776 binary64) (+.f64 (/.f64 #s(literal -1/2304 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 8 binary64)))))))
(* -1/4 (pow x 2))
(.f64 x (.f64 x #s(literal -1/4 binary64)))
(* (pow x 2) (- (* 1/48 (pow x 2)) 1/4))
(.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/48 binary64))) #s(literal -1/4 binary64))))
(* (pow x 2) (- (* (pow x 2) (+ 1/48 (* 1/576 (pow x 2)))) 1/4))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)))
(* (pow x 2) (- (* (pow x 2) (+ 1/48 (* 1/576 (pow x 2)))) 1/4))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)))
(* 1/576 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/576 binary64))
(* (pow x 6) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/576 (* 1/48 (/ 1 (pow x 2)))) (/ 1/4 (pow x 4))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/576 binary64) (+.f64 (/.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 6) (- (+ 1/576 (* 1/48 (/ 1 (pow x 2)))) (/ 1/4 (pow x 4))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/576 binary64) (+.f64 (/.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/576 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/576 binary64))
(* (pow x 6) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/576 (* 1/48 (/ 1 (pow x 2)))) (/ 1/4 (pow x 4))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/576 binary64) (+.f64 (/.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 6) (- (+ 1/576 (* 1/48 (/ 1 (pow x 2)))) (/ 1/4 (pow x 4))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/576 binary64) (+.f64 (/.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/48 (pow x 2))
(.f64 x (.f64 x #s(literal 1/48 binary64)))
(* 1/48 (pow x 2))
(.f64 x (.f64 x #s(literal 1/48 binary64)))
(* 1/48 (pow x 2))
(.f64 x (.f64 x #s(literal 1/48 binary64)))
(* 1/48 (pow x 2))
(.f64 x (.f64 x #s(literal 1/48 binary64)))
(* 1/48 (pow x 2))
(.f64 x (.f64 x #s(literal 1/48 binary64)))
(* 1/48 (pow x 2))
(.f64 x (.f64 x #s(literal 1/48 binary64)))
(* 1/48 (pow x 2))
(.f64 x (.f64 x #s(literal 1/48 binary64)))
(* 1/48 (pow x 2))
(.f64 x (.f64 x #s(literal 1/48 binary64)))
(* 1/48 (pow x 2))
(.f64 x (.f64 x #s(literal 1/48 binary64)))
(* 1/48 (pow x 2))
(.f64 x (.f64 x #s(literal 1/48 binary64)))
(* 1/48 (pow x 2))
(.f64 x (.f64 x #s(literal 1/48 binary64)))
(* 1/48 (pow x 2))
(.f64 x (.f64 x #s(literal 1/48 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))

eval199.0ms (3%)

Compiler: Compiled 131392 to 2701 computations (97.9% saved)

prune141.0ms (2.1%)

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	973	8	981
Fresh	0	0	0
Picked	2	0	2
Done	0	7	7
Total	975	15	990

Accuracy

100.0%

Counts

990 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	53.3%	(+.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x #s(literal 1/2 binary64)))
	12.7%	(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))) (+.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/48 binary64)))))
	12.7%	(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))) (.f64 x (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/48 binary64))) #s(literal -1/4 binary64)))))
	12.4%	(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))) (.f64 x (*.f64 x #s(literal -1/4 binary64))))
	17.7%	(.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) #s(literal 1/8 binary64)))) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
	18.0%	(.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) #s(literal 1/8 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64)))))))
	18.0%	(.f64 (/.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) #s(literal 1/8 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal 1/4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))
	27.5%	(.f64 (/.f64 #s(literal -2 binary64) x) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/48 binary64)))))
	27.4%	(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))))) #s(literal -1/8 binary64)))) (.f64 x x)) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))
✓	53.2%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))))
✓	53.2%	(.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))))))
✓	53.3%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
✓	53.5%	(*.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Compiler

Compiled 1280 to 374 computations (70.8% saved)

regimes16.0ms (0.2%)

Counts

19 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(+.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x #s(literal 1/2 binary64)))
(.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))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))))
(.f64 (/.f64 #s(literal -2 binary64) x) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/48 binary64)))))
(.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) #s(literal 1/8 binary64)))) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
(.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) #s(literal 1/8 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64)))))))
(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))))) #s(literal -1/8 binary64)))) (.f64 x x)) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))
(.f64 (/.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) #s(literal 1/8 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal 1/4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))
(.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) #s(literal 1/8 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal 1/4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))) (.f64 x (*.f64 x #s(literal -1/4 binary64))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))) (.f64 x (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/48 binary64))) #s(literal -1/4 binary64)))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))) (+.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/48 binary64)))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/48 binary64)))))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (sin.f64 x) #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))

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

Calls

2 calls:

6.0ms	x
5.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Accuracy

Total -26.5b remaining (-89.1%)

Threshold costs -26.5b (-89.1%)

Counts

15 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(+.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x #s(literal 1/2 binary64)))
(.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))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))))
(.f64 (/.f64 #s(literal -2 binary64) x) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/48 binary64)))))
(.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) #s(literal 1/8 binary64)))) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
(.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) #s(literal 1/8 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64)))))))
(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))))) #s(literal -1/8 binary64)))) (.f64 x x)) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))
(.f64 (/.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) #s(literal 1/8 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal 1/4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))
(.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) #s(literal 1/8 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal 1/4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))) (.f64 x (*.f64 x #s(literal -1/4 binary64))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))) (.f64 x (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/48 binary64))) #s(literal -1/4 binary64)))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))) (+.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/48 binary64)))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/48 binary64)))))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
53.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7

Stop Event

1×

saturated

Calls

Call 1

Inputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)

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

soundness142.0ms (2.1%)

Rules

1708×	`fma-define`
1312×	`fma-lowering-fma.f32`
1312×	`fma-lowering-fma.f64`
430×	`fnmadd-define`
402×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	156
1	73	150
2	232	150
3	651	150
4	1240	150
5	1665	150
6	1823	150
7	1824	150
0	1824	150
0	6	4
1	16	4
2	23	4
3	35	4
4	59	4
5	90	4
6	152	4
7	264	4
8	633	4
9	1210	4
10	1691	4
11	1714	4
12	1722	4
13	1728	4
14	1736	4
15	1749	4
16	1757	4
17	1766	4
18	1767	4
0	1767	4

Stop Event

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

Compiler

Compiled 22 to 17 computations (22.7% saved)

preprocess68.0ms (1%)

Remove: (negabs x)
Compiler: Compiled 72 to 56 computations (22.2% saved)

analyze156.0ms (2.4%)

sample2.0s (30.2%)

preprocess81.0ms (1.2%)

explain168.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize20.0ms (0.3%)

series3.0ms (0%)

rewrite178.0ms (2.7%)

simplify90.0ms (1.3%)

eval39.0ms (0.6%)

prune54.0ms (0.8%)

simplify56.0ms (0.8%)

localize148.0ms (2.2%)

series12.0ms (0.2%)

rewrite589.0ms (8.9%)

simplify248.0ms (3.7%)

eval114.0ms (1.7%)

prune74.0ms (1.1%)

simplify7.0ms (0.1%)

localize60.0ms (0.9%)

series7.0ms (0.1%)

rewrite273.0ms (4.1%)

simplify185.0ms (2.8%)

eval79.0ms (1.2%)

prune51.0ms (0.8%)

simplify226.0ms (3.4%)

localize258.0ms (3.9%)

series21.0ms (0.3%)

rewrite590.0ms (8.9%)

simplify260.0ms (3.9%)

eval199.0ms (3%)

prune141.0ms (2.1%)

regimes16.0ms (0.2%)

regimes6.0ms (0.1%)

simplify10.0ms (0.1%)

soundness142.0ms (2.1%)

preprocess68.0ms (1%)

end0.0ms (0%)

Profiling