Metrics for tanhf (example 3.4)

analyze143.0ms (1.7%)

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: 56.0ms

ival-sin: 19.0ms (33.9% of total)

ival-cos: 16.0ms (28.5% of total)

ival-sub: 12.0ms (21.4% of total)

ival-div: 6.0ms (10.7% of total)

const: 2.0ms (3.6% of total)

backward-pass: 1.0ms (1.8% of total)

sample2.0s (23.7%)

Results

935.0ms	2025×	2	valid
471.0ms	4170×	0	valid
322.0ms	2054×	1	valid
6.0ms	7×	3	valid

Precisions

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

ival-cos: 912.0ms (64.1% of total)

ival-sin: 207.0ms (14.6% of total)

ival-div: 105.0ms (7.4% of total)

ival-sub: 99.0ms (7% of total)

backward-pass: 82.0ms (5.8% of total)

const: 17.0ms (1.2% of total)

Bogosity

preprocess84.0ms (1%)

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)

explain173.0ms (2.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
75	-	2	(1.8246217183876334e+50)	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
61	-	1	(8.455037218544507e-157)	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`
0	-	0	-	`x`
0	-	0	-	`(sin.f64 x)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(cos.f64 x)`

Results

88.0ms	120×	2	valid
33.0ms	254×	0	valid
24.0ms	138×	1	valid

Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-cos: 75.0ms (70.5% of total)

ival-sin: 12.0ms (11.3% of total)

ival-div: 6.0ms (5.6% of total)

backward-pass: 6.0ms (5.6% of total)

ival-sub: 6.0ms (5.6% of total)

const: 1.0ms (0.9% 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)

localize34.0ms (0.4%)

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

28.0ms

256×

valid

Compiler

Compiled 11 to 5 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 15.0ms (70.8% of total)

ival-tan: 5.0ms (23.6% 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)
0.0ms	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)

rewrite202.0ms (2.4%)

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)

simplify58.0ms (0.7%)

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)

eval48.0ms (0.6%)

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

prune44.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	346	4	350
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	346	5	351

Accuracy

100.0%

Counts

351 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.1%	(.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))))))))
▶	52.0%	(.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))))))
▶	51.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
▶	52.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Compiler

Compiled 57 to 37 computations (35.1% saved)

simplify56.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.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	(+.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	(.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	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))
✓	cost-diff	(+.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	(.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	(*.f64 x x)
✓	cost-diff	(.f64 #s(literal 1/24 binary64) (.f64 x x))
✓	cost-diff	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
✓	cost-diff	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
✓	cost-diff	(*.f64 #s(literal 1/2 binary64) 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	22	191
1	80	171
2	277	171
3	704	171
4	1263	171
5	1689	171
6	1848	171
7	1849	171
0	1849	171

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* 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
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
x
(* x (+ 1/2 (* 1/24 (* x x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
x
(+ 1/2 (* 1/24 (* x x)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))
1/2
#s(literal 1/2 binary64)
(* 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 (* (* 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 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 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 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 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 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 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 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))
1/24
#s(literal 1/24 binary64)
(* (* x x) (+ 1/240 (* (* x x) 17/40320)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))
(+ 1/240 (* (* x x) 17/40320))
(+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))
1/240
#s(literal 1/240 binary64)
(* (* x x) 17/40320)
(.f64 x (.f64 x #s(literal 17/40320 binary64)))
17/40320
#s(literal 17/40320 binary64)

localize146.0ms (1.7%)

Localize:

Found 13 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	99.4%	(.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)

Results

106.0ms

256×

valid

Compiler

Compiled 193 to 23 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 39.0ms (51.1% of total)

...c/correct-round.rkt:119:19: 30.0ms (39.3% of total)

ival-add: 7.0ms (9.2% of total)

const: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Counts

15 → 180

Calls

Call 1

Inputs
#<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 (* (* 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 (* 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 (* 1/240 (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

45 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* (* x x) (+ 1/240 (* (* x x) 17/40320)))
1.0ms	x	@	-inf	(* x (+ 1/2 (* 1/24 (* x x))))
1.0ms	x	@	inf	(* x (+ 1/2 (* 1/24 (* x x))))
0.0ms	x	@	inf	(* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/240)))))
0.0ms	x	@	0	(* x (+ 1/2 (* 1/24 (* x x))))

rewrite544.0ms (6.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4102×	`-lowering-.f32`
4102×	`-lowering-.f64`
2910×	`/-lowering-/.f32`
2910×	`/-lowering-/.f64`
2156×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	151
1	155	134
2	1442	134
0	8142	134

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 338

Calls

Call 1

Inputs
(* 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)))))
(* (* x x) 1/240)
(+ 1/24 (* (* x x) 1/240))
(* (* x x) 17/40320)
(* (* x x) (+ 1/240 (* (* x x) 17/40320)))

Outputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))))
(+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 #s(literal 1/2 binary64) x))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) x (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))))) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))
(/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)))) x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) x)) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)))) x)) (neg.f64 (+.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 x x))) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))) x)
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/48 binary64) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (+.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/48 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(/.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/4 binary64)) (-.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)))))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x))) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (*.f64 x x)))))
(/.f64 (.f64 (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 #s(literal 1/110592 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (*.f64 x x)))))
(/.f64 (.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (*.f64 x x)))))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(.f64 (.f64 x #s(literal 1/24 binary64)) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/240 binary64)))))))
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(-.f64 (/.f64 (.f64 #s(literal 1/57600 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 x (.f64 x #s(literal 1/240 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 17/40320 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 17/40320 binary64))))) (-.f64 (.f64 x (.f64 x #s(literal 1/240 binary64))) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))
(fma.f64 x (.f64 x #s(literal 1/240 binary64)) (.f64 (.f64 x 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 x (*.f64 x #s(literal 1/240 binary64))))
(fma.f64 x (.f64 (.f64 x #s(literal 17/40320 binary64)) (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/240 binary64))))
(fma.f64 (.f64 x x) #s(literal 1/240 binary64) (.f64 (.f64 x 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 x (*.f64 x #s(literal 1/240 binary64))))
(fma.f64 #s(literal 1/240 binary64) (.f64 x x) (.f64 (.f64 x 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 x (*.f64 x #s(literal 1/240 binary64))))
(fma.f64 (.f64 x (.f64 x #s(literal 17/40320 binary64))) (.f64 x x) (.f64 x (*.f64 x #s(literal 1/240 binary64))))
(fma.f64 (.f64 x #s(literal 1/240 binary64)) x (.f64 (.f64 x 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 x (*.f64 x #s(literal 1/240 binary64))))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 17/40320 binary64) (.f64 x (*.f64 x #s(literal 1/240 binary64))))
(fma.f64 (.f64 (.f64 x (.f64 x #s(literal 17/40320 binary64))) x) x (.f64 x (*.f64 x #s(literal 1/240 binary64))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824000 binary64) (.f64 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 (.f64 x x) (.f64 x (.f64 x #s(literal 17/40320 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 17/40320 binary64))))) (.f64 (.f64 x (.f64 x #s(literal 1/240 binary64))) (.f64 (.f64 x 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 (.f64 x x) (.f64 x (.f64 x #s(literal 17/40320 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (-.f64 (.f64 x (.f64 x #s(literal 1/240 binary64))) (.f64 (.f64 x 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 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824000 binary64) (.f64 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 (.f64 x x) (.f64 x (.f64 x #s(literal 17/40320 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 17/40320 binary64))))) (.f64 (.f64 x (.f64 x #s(literal 1/240 binary64))) (.f64 (.f64 x 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 (.f64 x x) (.f64 x (.f64 x #s(literal 17/40320 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/240 binary64))) (.f64 (.f64 x 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 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824000 binary64) (.f64 x (.f64 x x))))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 17/40320 binary64)))) (.f64 (.f64 x 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 (.f64 x x) (.f64 x (.f64 x #s(literal 17/40320 binary64)))) (.f64 x (.f64 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)

simplify204.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2670×	`-lowering-.f32`
2670×	`-lowering-.f64`
1700×	`fnmadd-define`
1390×	`fma-lowering-fma.f32`
1390×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	1452
1	300	1367
2	928	1362
3	2756	1338
4	5675	1338
0	8059	1338

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
(* 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))))))
(* 1/240 (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 #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)
(* 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)))))
1/2
#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)))
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(* (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 (.f64 x x) (.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))))
(* (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))))

eval116.0ms (1.4%)

Compiler: Compiled 19043 to 1508 computations (92.1% saved)

prune55.0ms (0.7%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	603	5	608
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	603	10	613

Accuracy

100.0%

Counts

613 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	29.5%	(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x)))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x))))))
▶	52.0%	(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/240 binary64)))))) (.f64 #s(literal 1/2 binary64) x))
▶	51.9%	(+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 #s(literal 1/2 binary64) x))
▶	52.0%	(.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/240 binary64)))))))
✓	52.1%	(.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))))))))
✓	52.0%	(.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))))))
✓	51.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
▶	51.4%	(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.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 x (*.f64 x #s(literal 17/40320 binary64)))))))))))
✓	52.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Compiler

Compiled 473 to 183 computations (61.3% saved)

simplify232.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x))))
✓	cost-diff	128	(.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	256	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (*.f64 x x)))))
✓	cost-diff	2048	(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x)))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x))))))
✓	cost-diff	0	(.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))
✓	cost-diff	0	(-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))))
✓	cost-diff	128	(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.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 x (.f64 x #s(literal 17/40320 binary64))))))))))
✓	cost-diff	128	(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.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 x (*.f64 x #s(literal 17/40320 binary64)))))))))))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/24 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))
✓	cost-diff	256	(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/240 binary64))))))
✓	cost-diff	256	(.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/240 binary64)))))))
✓	cost-diff	0	(*.f64 x #s(literal 1/24 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/24 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
✓	cost-diff	128	(+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/240 binary64)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/240 binary64))))))
✓	cost-diff	128	(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/240 binary64)))))) (.f64 #s(literal 1/2 binary64) x))

Rules

4250×	`-lowering-.f32`
4250×	`-lowering-.f64`
2394×	`+-lowering-+.f64`
2394×	`+-lowering-+.f32`
1128×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	755
1	161	655
2	625	636
3	3012	617
4	7668	617
0	8050	617

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (* x x) (* x (+ 1/24 (* x (* x 1/240))))) (* 1/2 x))
(* (* x x) (* x (+ 1/24 (* x (* x 1/240)))))
(* x x)
x
(* x (+ 1/24 (* x (* x 1/240))))
(+ 1/24 (* x (* x 1/240)))
1/24
(* x (* x 1/240))
(* x 1/240)
1/240
(* 1/2 x)
1/2
(+ (* x (* x (* x 1/24))) (* 1/2 x))
(* x (* x (* x 1/24)))
x
(* x (* x 1/24))
(* x 1/24)
1/24
(* 1/2 x)
1/2
(* x (+ (+ 1/2 (* x (* x 1/24))) (* x (* x (* x (* x 1/240))))))
x
(+ (+ 1/2 (* x (* x 1/24))) (* x (* x (* x (* x 1/240)))))
(+ 1/2 (* x (* x 1/24)))
1/2
(* x (* x 1/24))
(* x 1/24)
1/24
(* x (* x (* x (* x 1/240))))
(* x (* x (* x 1/240)))
(* x (* x 1/240))
(* x 1/240)
1/240
(* x (* (- 1/4 (* (* (* 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 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))))
x
(* (- 1/4 (* (* (* 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 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))))))
(- 1/4 (* (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))) (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))
1/4
(* (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))) (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))))
(* (* 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))
(* x 17/40320)
17/40320
(/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))
1
(- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))))
1/2
(- (/ (* (* 1/2 x) (* 1/2 x)) (- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))))) (/ (* (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))) (- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))))))
(/ (* (* 1/2 x) (* 1/2 x)) (- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))))
(* (* 1/2 x) (* 1/2 x))
(* 1/2 x)
1/2
x
(- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))))
(* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))
(+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))
1/24
(* (* x x) (+ 1/240 (* x (* x 17/40320))))
(* x x)
(+ 1/240 (* x (* x 17/40320)))
1/240
(* x (* x 17/40320))
(* x 17/40320)
17/40320
(* x (* x x))
(/ (* (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))) (- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))))
(* (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))))

Outputs
(+ (* (* x x) (* x (+ 1/24 (* x (* x 1/240))))) (* 1/2 x))
(.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 x) (* x (+ 1/24 (* x (* x 1/240)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64)))))
(* x x)
(*.f64 x x)
x
(* x (+ 1/24 (* x (* x 1/240))))
(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64))))
(+ 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))
(* x 1/240)
(*.f64 x #s(literal 1/240 binary64))
1/240
#s(literal 1/240 binary64)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ (* x (* x (* x 1/24))) (* 1/2 x))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* x (* x (* x 1/24)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64)))
x
(* x (* x 1/24))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* x (+ (+ 1/2 (* x (* x 1/24))) (* x (* x (* 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 (* 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 (* x (* x 1/24)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))
1/2
#s(literal 1/2 binary64)
(* x (* x 1/24))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(* x (* x (* x (* x 1/240))))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/240 binary64)))
(* x (* x (* x 1/240)))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/240 binary64)))
(* x (* x 1/240))
(.f64 (.f64 x x) #s(literal 1/240 binary64))
(* x 1/240)
(*.f64 x #s(literal 1/240 binary64))
1/240
#s(literal 1/240 binary64)
(* x (* (- 1/4 (* (* (* 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 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))))
(/.f64 (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (-.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))))))) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))))))
x
(* (- 1/4 (* (* (* 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 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (-.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))))) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))))))
(- 1/4 (* (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))) (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))
(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (-.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))))))
1/4
#s(literal 1/4 binary64)
(* (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))) (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))))
(* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))))
(* 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 x (.f64 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 x (.f64 x #s(literal 17/40320 binary64))))))
(+ 1/240 (* x (* x 17/40320)))
(+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))
1/240
#s(literal 1/240 binary64)
(* x (* x 17/40320))
(.f64 x (.f64 x #s(literal 17/40320 binary64)))
(* x 17/40320)
(*.f64 x #s(literal 17/40320 binary64))
17/40320
#s(literal 17/40320 binary64)
(/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))))))
1
#s(literal 1 binary64)
(- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))))
(-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))))
1/2
#s(literal 1/2 binary64)
(- (/ (* (* 1/2 x) (* 1/2 x)) (- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))))) (/ (* (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))) (- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))))))
(.f64 (/.f64 (/.f64 (.f64 x x) x) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (-.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))))))
(/ (* (* 1/2 x) (* 1/2 x)) (- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))))
(/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))))))
(* (* 1/2 x) (* 1/2 x))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
x
(- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))))
(.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))))))
(* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))))
(+ 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 x (.f64 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 x (.f64 x #s(literal 17/40320 binary64))))))
(* x x)
(*.f64 x x)
(+ 1/240 (* x (* x 17/40320)))
(+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))
1/240
#s(literal 1/240 binary64)
(* x (* x 17/40320))
(.f64 x (.f64 x #s(literal 17/40320 binary64)))
(* x 17/40320)
(*.f64 x #s(literal 17/40320 binary64))
17/40320
#s(literal 17/40320 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
(/ (* (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))) (- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))))))
(* (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))))
(.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))

localize247.0ms (2.9%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 17/40320 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 17/40320 binary64))
✓	accuracy	52.4%	(/.f64 (.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x)))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (*.f64 x x)))))
✓	accuracy	51.4%	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (*.f64 x x)))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 17/40320 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 17/40320 binary64))
✓	accuracy	63.1%	(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.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 x (.f64 x #s(literal 17/40320 binary64))))))))))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x #s(literal 1/240 binary64))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/24 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/240 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/24 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	99.9%	(*.f64 x #s(literal 1/240 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/240 binary64))))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/240 binary64)))
✓	accuracy	99.7%	(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/240 binary64)))))

Results

134.0ms

256×

valid

Compiler

Compiled 807 to 45 computations (94.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 41.0ms (56.1% of total)

...c/correct-round.rkt:119:19: 12.0ms (16.4% of total)

ival-add: 9.0ms (12.3% of total)

ival-div: 5.0ms (6.8% of total)

ival-sub: 5.0ms (6.8% of total)

const: 1.0ms (1.4% of total)

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

series39.0ms (0.5%)

Counts

27 → 324

Calls

Call 1

Inputs
#<alt (+ (* (* x x) (* x (+ 1/24 (* x (* x 1/240))))) (* 1/2 x))>
#<alt (* (* x x) (* x (+ 1/24 (* x (* x 1/240)))))>
#<alt (* x x)>
#<alt (* x (+ 1/24 (* x (* x 1/240))))>
#<alt (+ (* x (* x (* x 1/24))) (* 1/2 x))>
#<alt (* x (* x (* x 1/24)))>
#<alt (* x (* x 1/24))>
#<alt (* x 1/24)>
#<alt (* x (+ (+ 1/2 (* x (* x 1/24))) (* x (* x (* x (* x 1/240))))))>
#<alt (+ (+ 1/2 (* x (* x 1/24))) (* x (* x (* x (* x 1/240)))))>
#<alt (+ 1/2 (* x (* x 1/24)))>
#<alt (* x (* (- 1/4 (* (* (* 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 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))))>
#<alt (* (- 1/4 (* (* (* 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 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))))))>
#<alt (- 1/4 (* (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))) (* (* 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)))))) (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))))>
#<alt (- (/ (* (* 1/2 x) (* 1/2 x)) (- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))))) (/ (* (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))) (- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))))))>
#<alt (/ (* (* 1/2 x) (* 1/2 x)) (- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))))>
#<alt (* (* 1/2 x) (* 1/2 x))>
#<alt (- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))))>
#<alt (* x (* x 1/240))>
#<alt (* x 1/240)>
#<alt (* 1/2 x)>
#<alt (* x (* x (* x 1/240)))>
#<alt (* x 17/40320)>
#<alt (* x (* x 17/40320))>
#<alt (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))>
#<alt (/ (* (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))) (- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))))>

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 (* 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 (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/240 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/240 (pow x 2))))>
#<alt (* (pow x 3) (+ 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 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/240 (* 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 (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (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 (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/240 (pow x 2))))>
#<alt (* x (+ 1/24 (* 1/240 (pow x 2))))>
#<alt (* x (+ 1/24 (* 1/240 (pow x 2))))>
#<alt (* 1/240 (pow x 3))>
#<alt (* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/240 (pow x 3))>
#<alt (* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 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 (* 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 (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 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 1/2>
#<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 (* 1/2 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 1/4>
#<alt (+ 1/4 (* -1/576 (pow x 4)))>
#<alt (+ 1/4 (* (pow x 4) (- (* -1/2880 (pow x 2)) 1/576)))>
#<alt (+ 1/4 (* (pow x 4) (- (* (pow x 2) (- (* -127/2419200 (pow x 2)) 1/2880)) 1/576)))>
#<alt (* -289/1625702400 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 289/1625702400 (* 17/4838400 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 17/4838400 (* 127/2419200 (/ 1 (pow x 2)))) (pow x 2))) 289/1625702400))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2)))) (pow x 4))) (+ 289/1625702400 (* 17/4838400 (/ 1 (pow x 2))))))>
#<alt (* -289/1625702400 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 289/1625702400 (* 17/4838400 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 17/4838400 (* 127/2419200 (/ 1 (pow x 2)))) (pow x 2))) 289/1625702400))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2)))) (pow x 4))) (+ 289/1625702400 (* 17/4838400 (/ 1 (pow x 2))))))>
#<alt (* 1/576 (pow x 4))>
#<alt (* (pow x 4) (+ 1/576 (* 1/2880 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/576 (* (pow x 2) (+ 1/2880 (* 127/2419200 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/576 (* (pow x 2) (+ 1/2880 (* (pow x 2) (+ 127/2419200 (* 17/4838400 (pow x 2))))))))>
#<alt (* 289/1625702400 (pow x 12))>
#<alt (* (pow x 12) (+ 289/1625702400 (* 17/4838400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 289/1625702400 (+ (/ 127/2419200 (pow x 4)) (* 17/4838400 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 289/1625702400 (+ (/ 127/2419200 (pow x 4)) (+ (* 17/4838400 (/ 1 (pow x 2))) (* 1/2880 (/ 1 (pow x 6)))))))>
#<alt (* 289/1625702400 (pow x 12))>
#<alt (* (pow x 12) (+ 289/1625702400 (* 17/4838400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 289/1625702400 (+ (/ 127/2419200 (pow x 4)) (* 17/4838400 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 289/1625702400 (+ (/ 127/2419200 (pow x 4)) (+ (* 17/4838400 (/ 1 (pow x 2))) (* 1/2880 (/ 1 (pow x 6)))))))>
#<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 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 11/1440 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 11/1440 (* 17/12096 (pow x 2))))))))>
#<alt (/ -10080/17 (pow x 5))>
#<alt (/ (- (* 1693440/289 (/ 1 (pow x 2))) 10080/17) (pow x 5))>
#<alt (/ (- (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4))) 10080/17) (pow x 5))>
#<alt (/ (- (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4))) (+ 10080/17 (* 107662141440/83521 (/ 1 (pow x 6))))) (pow x 5))>
#<alt (/ -10080/17 (pow x 5))>
#<alt (* -1 (/ (- 10080/17 (* 1693440/289 (/ 1 (pow x 2)))) (pow x 5)))>
#<alt (* -1 (/ (+ 10080/17 (* -1 (/ (+ 1693440/289 (* 3386880/4913 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5)))>
#<alt (* -1 (/ (- (+ 10080/17 (* 107662141440/83521 (/ 1 (pow x 6)))) (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4)))) (pow x 5)))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24))))>
#<alt (* -17/40320 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))>
#<alt (* (pow x 7) (- (* 1/2 (/ 1 (pow x 6))) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))>
#<alt (* -17/40320 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))) (* 1/2 (/ 1 (pow x 6))))))>
#<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 (* 1/240 x)>
#<alt (* 1/240 x)>
#<alt (* 1/240 x)>
#<alt (* 1/240 x)>
#<alt (* 1/240 x)>
#<alt (* 1/240 x)>
#<alt (* 1/240 x)>
#<alt (* 1/240 x)>
#<alt (* 1/240 x)>
#<alt (* 1/240 x)>
#<alt (* 1/240 x)>
#<alt (* 1/240 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 (* 1/240 (pow x 3))>
#<alt (* 1/240 (pow x 3))>
#<alt (* 1/240 (pow x 3))>
#<alt (* 1/240 (pow x 3))>
#<alt (* 1/240 (pow x 3))>
#<alt (* 1/240 (pow x 3))>
#<alt (* 1/240 (pow x 3))>
#<alt (* 1/240 (pow x 3))>
#<alt (* 1/240 (pow x 3))>
#<alt (* 1/240 (pow x 3))>
#<alt (* 1/240 (pow x 3))>
#<alt (* 1/240 (pow x 3))>
#<alt (* 17/40320 x)>
#<alt (* 17/40320 x)>
#<alt (* 17/40320 x)>
#<alt (* 17/40320 x)>
#<alt (* 17/40320 x)>
#<alt (* 17/40320 x)>
#<alt (* 17/40320 x)>
#<alt (* 17/40320 x)>
#<alt (* 17/40320 x)>
#<alt (* 17/40320 x)>
#<alt (* 17/40320 x)>
#<alt (* 17/40320 x)>
#<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 (* 1/24 (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 (* 1/288 (pow x 5))>
#<alt (* (pow x 5) (+ 1/288 (* 17/17280 (pow x 2))))>
#<alt (* (pow x 5) (+ 1/288 (* (pow x 2) (+ 17/17280 (* 1567/7257600 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/288 (* (pow x 2) (+ 17/17280 (* (pow x 2) (+ 1567/7257600 (* 787/21772800 (pow x 2))))))))>
#<alt (* -17/40320 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))>
#<alt (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))>
#<alt (* -17/40320 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))))>

Calls

81 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ (* (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))) (- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))))
1.0ms	x	@	inf	(* x (* (- 1/4 (* (* (* 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 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))))
0.0ms	x	@	inf	(- (/ (* (* 1/2 x) (* 1/2 x)) (- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))))) (/ (* (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))) (- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))))))
0.0ms	x	@	0	(* x (* (- 1/4 (* (* (* 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 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))))
0.0ms	x	@	-inf	(- (/ (* (* 1/2 x) (* 1/2 x)) (- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))))) (/ (* (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))) (- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))))))

rewrite362.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4002×	`-lowering-.f32`
4002×	`-lowering-.f64`
2108×	`pow-lowering-pow.f64`
2108×	`pow-lowering-pow.f32`
1656×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	405
1	326	298
2	3426	297
0	8133	297

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 470

Calls

Call 1

Inputs
(+ (* (* x x) (* x (+ 1/24 (* x (* x 1/240))))) (* 1/2 x))
(* (* x x) (* x (+ 1/24 (* x (* x 1/240)))))
(* x x)
(* x (+ 1/24 (* x (* x 1/240))))
(+ (* x (* x (* x 1/24))) (* 1/2 x))
(* x (* x (* x 1/24)))
(* x (* x 1/24))
(* x 1/24)
(* x (+ (+ 1/2 (* x (* x 1/24))) (* x (* x (* x (* x 1/240))))))
(+ (+ 1/2 (* x (* x 1/24))) (* x (* x (* x (* x 1/240)))))
(+ 1/2 (* x (* x 1/24)))
(* x (* (- 1/4 (* (* (* 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 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))))
(* (- 1/4 (* (* (* 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 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))))))
(- 1/4 (* (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))) (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))
(* (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))) (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))))
(- (/ (* (* 1/2 x) (* 1/2 x)) (- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))))) (/ (* (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))) (- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))))))
(/ (* (* 1/2 x) (* 1/2 x)) (- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))))
(* (* 1/2 x) (* 1/2 x))
(- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))))
(* x (* x 1/240))
(* x 1/240)
(* 1/2 x)
(* x (* x (* x 1/240)))
(* x 17/40320)
(* 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))))) (* x (* x x))) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))) (- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))))

Outputs
(+.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/240 binary64))))))
(+.f64 (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/240 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))
(-.f64 (/.f64 (.f64 x (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64)))) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))))) (.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64)))) #s(literal 1/2 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64)))) #s(literal 1/2 binary64)))))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64))))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/240 binary64))))))
(fma.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64)))) (.f64 x x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64))))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) x (.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/240 binary64))))))
(fma.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64)))) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))))) (.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64)))))))) (+.f64 (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))) (.f64 x (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64)))) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64)))))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))))
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(.f64 (.f64 (+.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)))))) (+.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))))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 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)))))))))))
(.f64 (.f64 (+.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)))))) (.f64 (.f64 x x) (.f64 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))))))))) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 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))))))))))))
(.f64 (.f64 (+.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)))))) (.f64 (.f64 x x) (.f64 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))))))))) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 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)))))))))))
(.f64 (.f64 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))))))) (.f64 (.f64 x x) (/.f64 (.f64 (.f64 x x) (.f64 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)))))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 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))))))))))))
(.f64 (/.f64 (.f64 (.f64 x x) (.f64 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)))))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 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)))))))))) (.f64 (.f64 x x) (.f64 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)))))))))
(.f64 (/.f64 (.f64 (+.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)))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 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)))))))))) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (+.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)))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 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)))))))))))) (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 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))))))))))
(.f64 (/.f64 (.f64 (+.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)))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 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)))))))))) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 (.f64 (+.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)))))) (+.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))))))) (+.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))))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 x x) (.f64 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)))))))) (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 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))))))))))))

simplify295.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

4024×	`-lowering-.f32`
4024×	`-lowering-.f64`
2492×	`+-lowering-+.f64`
2492×	`+-lowering-+.f32`
1204×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	251	2792
1	817	2660
2	2592	2632
3	6759	2632
0	8014	2632

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

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 (* 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)))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/240 (pow x 2))))
(* (pow x 3) (+ 1/24 (* 1/240 (pow x 2))))
(* (pow x 3) (+ 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 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* 1/240 (pow x 5))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (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)
(* 1/24 x)
(* x (+ 1/24 (* 1/240 (pow x 2))))
(* x (+ 1/24 (* 1/240 (pow x 2))))
(* x (+ 1/24 (* 1/240 (pow x 2))))
(* 1/240 (pow x 3))
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* 1/240 (pow x 3))
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* 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))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* 1/240 (pow x 5))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/240 (pow x 5))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(* 1/240 (pow x 4))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/240 (pow x 4))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
1/2
(+ 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)))))
(* 1/2 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)))))))
1/4
(+ 1/4 (* -1/576 (pow x 4)))
(+ 1/4 (* (pow x 4) (- (* -1/2880 (pow x 2)) 1/576)))
(+ 1/4 (* (pow x 4) (- (* (pow x 2) (- (* -127/2419200 (pow x 2)) 1/2880)) 1/576)))
(* -289/1625702400 (pow x 12))
(* -1 (* (pow x 12) (+ 289/1625702400 (* 17/4838400 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 17/4838400 (* 127/2419200 (/ 1 (pow x 2)))) (pow x 2))) 289/1625702400))
(* (pow x 12) (- (* -1 (/ (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2)))) (pow x 4))) (+ 289/1625702400 (* 17/4838400 (/ 1 (pow x 2))))))
(* -289/1625702400 (pow x 12))
(* -1 (* (pow x 12) (+ 289/1625702400 (* 17/4838400 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 17/4838400 (* 127/2419200 (/ 1 (pow x 2)))) (pow x 2))) 289/1625702400))
(* (pow x 12) (- (* -1 (/ (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2)))) (pow x 4))) (+ 289/1625702400 (* 17/4838400 (/ 1 (pow x 2))))))
(* 1/576 (pow x 4))
(* (pow x 4) (+ 1/576 (* 1/2880 (pow x 2))))
(* (pow x 4) (+ 1/576 (* (pow x 2) (+ 1/2880 (* 127/2419200 (pow x 2))))))
(* (pow x 4) (+ 1/576 (* (pow x 2) (+ 1/2880 (* (pow x 2) (+ 127/2419200 (* 17/4838400 (pow x 2))))))))
(* 289/1625702400 (pow x 12))
(* (pow x 12) (+ 289/1625702400 (* 17/4838400 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 289/1625702400 (+ (/ 127/2419200 (pow x 4)) (* 17/4838400 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 289/1625702400 (+ (/ 127/2419200 (pow x 4)) (+ (* 17/4838400 (/ 1 (pow x 2))) (* 1/2880 (/ 1 (pow x 6)))))))
(* 289/1625702400 (pow x 12))
(* (pow x 12) (+ 289/1625702400 (* 17/4838400 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 289/1625702400 (+ (/ 127/2419200 (pow x 4)) (* 17/4838400 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 289/1625702400 (+ (/ 127/2419200 (pow x 4)) (+ (* 17/4838400 (/ 1 (pow x 2))) (* 1/2880 (/ 1 (pow x 6)))))))
(* 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 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 11/1440 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 11/1440 (* 17/12096 (pow x 2))))))))
(/ -10080/17 (pow x 5))
(/ (- (* 1693440/289 (/ 1 (pow x 2))) 10080/17) (pow x 5))
(/ (- (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4))) 10080/17) (pow x 5))
(/ (- (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4))) (+ 10080/17 (* 107662141440/83521 (/ 1 (pow x 6))))) (pow x 5))
(/ -10080/17 (pow x 5))
(* -1 (/ (- 10080/17 (* 1693440/289 (/ 1 (pow x 2)))) (pow x 5)))
(* -1 (/ (+ 10080/17 (* -1 (/ (+ 1693440/289 (* 3386880/4913 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5)))
(* -1 (/ (- (+ 10080/17 (* 107662141440/83521 (/ 1 (pow x 6)))) (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4)))) (pow x 5)))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24))))
(* -17/40320 (pow x 7))
(* -1 (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))
(* (pow x 7) (- (* 1/2 (/ 1 (pow x 6))) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))
(* -17/40320 (pow x 7))
(* -1 (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (- (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))) (* 1/2 (/ 1 (pow x 6))))))
(* 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))
(* 1/240 x)
(* 1/240 x)
(* 1/240 x)
(* 1/240 x)
(* 1/240 x)
(* 1/240 x)
(* 1/240 x)
(* 1/240 x)
(* 1/240 x)
(* 1/240 x)
(* 1/240 x)
(* 1/240 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)
(* 1/240 (pow x 3))
(* 1/240 (pow x 3))
(* 1/240 (pow x 3))
(* 1/240 (pow x 3))
(* 1/240 (pow x 3))
(* 1/240 (pow x 3))
(* 1/240 (pow x 3))
(* 1/240 (pow x 3))
(* 1/240 (pow x 3))
(* 1/240 (pow x 3))
(* 1/240 (pow x 3))
(* 1/240 (pow x 3))
(* 17/40320 x)
(* 17/40320 x)
(* 17/40320 x)
(* 17/40320 x)
(* 17/40320 x)
(* 17/40320 x)
(* 17/40320 x)
(* 17/40320 x)
(* 17/40320 x)
(* 17/40320 x)
(* 17/40320 x)
(* 17/40320 x)
(* 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))
(* 1/24 (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))))))
(* 1/288 (pow x 5))
(* (pow x 5) (+ 1/288 (* 17/17280 (pow x 2))))
(* (pow x 5) (+ 1/288 (* (pow x 2) (+ 17/17280 (* 1567/7257600 (pow x 2))))))
(* (pow x 5) (+ 1/288 (* (pow x 2) (+ 17/17280 (* (pow x 2) (+ 1567/7257600 (* 787/21772800 (pow x 2))))))))
(* -17/40320 (pow x 7))
(* -1 (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))
(* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))
(* -17/40320 (pow x 7))
(* -1 (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))))

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 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64)))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64)))))))
(* 1/240 (pow x 5))
(*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.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 (pow.f64 x #s(literal 5 binary64)) (+.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 (pow.f64 x #s(literal 5 binary64)) (+.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 #s(literal 1/240 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.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 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 0 binary64) (-.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 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 0 binary64) (-.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)))))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/240 (pow x 2))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/240 (pow x 2))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/240 (pow x 2))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64)))))
(* 1/240 (pow x 5))
(*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))))
(* 1/240 (pow x 5))
(*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/24 binary64) (.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)
(pow x 2)
(*.f64 x x)
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/240 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64))))
(* x (+ 1/24 (* 1/240 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64))))
(* x (+ 1/24 (* 1/240 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64))))
(* 1/240 (pow x 3))
(.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64))))
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64))))
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64))))
(* 1/240 (pow x 3))
(.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64))))
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64))))
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64))))
(* 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 (* 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 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 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 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64)))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64)))))))
(* 1/240 (pow x 5))
(*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.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 (pow.f64 x #s(literal 5 binary64)) (+.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 (pow.f64 x #s(literal 5 binary64)) (+.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 #s(literal 1/240 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.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 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 0 binary64) (-.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 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 0 binary64) (-.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 #s(literal 1/24 binary64) (.f64 x x)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))))
(* 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 #s(literal 1/240 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.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 (.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 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (.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 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 #s(literal 1/240 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.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 (.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 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (.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)))))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(+ 1/2 (* 1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(+ 1/2 (* 1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
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(* (pow x 7) (- (* 1/2 (/ 1 (pow x 6))) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))
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(* -17/40320 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -17/40320 binary64))
(* -1 (* (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) (+ 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 -17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (.f64 x x))) (/.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1 (* (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 1/2 binary64) (pow.f64 x #s(literal 6 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))))))))
(* 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))
(* 1/240 x)
(*.f64 x #s(literal 1/240 binary64))
(* 1/240 x)
(*.f64 x #s(literal 1/240 binary64))
(* 1/240 x)
(*.f64 x #s(literal 1/240 binary64))
(* 1/240 x)
(*.f64 x #s(literal 1/240 binary64))
(* 1/240 x)
(*.f64 x #s(literal 1/240 binary64))
(* 1/240 x)
(*.f64 x #s(literal 1/240 binary64))
(* 1/240 x)
(*.f64 x #s(literal 1/240 binary64))
(* 1/240 x)
(*.f64 x #s(literal 1/240 binary64))
(* 1/240 x)
(*.f64 x #s(literal 1/240 binary64))
(* 1/240 x)
(*.f64 x #s(literal 1/240 binary64))
(* 1/240 x)
(*.f64 x #s(literal 1/240 binary64))
(* 1/240 x)
(*.f64 x #s(literal 1/240 binary64))
(* 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)
(* 1/240 (pow x 3))
(.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x x)))
(* 1/240 (pow x 3))
(.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x x)))
(* 1/240 (pow x 3))
(.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x x)))
(* 1/240 (pow x 3))
(.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x x)))
(* 1/240 (pow x 3))
(.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x x)))
(* 1/240 (pow x 3))
(.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x x)))
(* 1/240 (pow x 3))
(.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x x)))
(* 1/240 (pow x 3))
(.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x x)))
(* 1/240 (pow x 3))
(.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x x)))
(* 1/240 (pow x 3))
(.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x x)))
(* 1/240 (pow x 3))
(.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x x)))
(* 1/240 (pow x 3))
(.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x x)))
(* 17/40320 x)
(*.f64 x #s(literal 17/40320 binary64))
(* 17/40320 x)
(*.f64 x #s(literal 17/40320 binary64))
(* 17/40320 x)
(*.f64 x #s(literal 17/40320 binary64))
(* 17/40320 x)
(*.f64 x #s(literal 17/40320 binary64))
(* 17/40320 x)
(*.f64 x #s(literal 17/40320 binary64))
(* 17/40320 x)
(*.f64 x #s(literal 17/40320 binary64))
(* 17/40320 x)
(*.f64 x #s(literal 17/40320 binary64))
(* 17/40320 x)
(*.f64 x #s(literal 17/40320 binary64))
(* 17/40320 x)
(*.f64 x #s(literal 17/40320 binary64))
(* 17/40320 x)
(*.f64 x #s(literal 17/40320 binary64))
(* 17/40320 x)
(*.f64 x #s(literal 17/40320 binary64))
(* 17/40320 x)
(*.f64 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))
(* 17/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/40320 binary64))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))
(.f64 x (.f64 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 x (.f64 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 x (.f64 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)))
(* 1/288 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/288 binary64))
(* (pow x 5) (+ 1/288 (* 17/17280 (pow x 2))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/288 binary64) (.f64 (*.f64 x x) #s(literal 17/17280 binary64))))
(* (pow x 5) (+ 1/288 (* (pow x 2) (+ 17/17280 (* 1567/7257600 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/288 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 17/17280 binary64) (.f64 (*.f64 x x) #s(literal 1567/7257600 binary64))))))
(* (pow x 5) (+ 1/288 (* (pow x 2) (+ 17/17280 (* (pow x 2) (+ 1567/7257600 (* 787/21772800 (pow x 2))))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/288 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/17280 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1567/7257600 binary64) (.f64 x (*.f64 x #s(literal 787/21772800 binary64))))))))))
(* -17/40320 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -17/40320 binary64))
(* -1 (* (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) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/240 binary64) (/.f64 #s(literal -1/24 binary64) (.f64 x x))) (*.f64 x x)) #s(literal -17/40320 binary64)))
(* (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 (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/240 binary64) (.f64 x x)))))
(* -17/40320 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -17/40320 binary64))
(* -1 (* (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) (+ 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 -17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (.f64 x x))) (/.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1 (* (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 (+.f64 #s(literal -17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (.f64 x x))) (/.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 6 binary64)))))

eval228.0ms (2.7%)

Compiler: Compiled 103633 to 2559 computations (97.5% saved)

prune145.0ms (1.7%)

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	1470	5	1475
Fresh	0	0	0
Picked	2	3	5
Done	0	5	5
Total	1472	13	1485

Accuracy

100.0%

Counts

1485 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	29.7%	(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x)))) (*.f64 #s(literal 1/2 binary64) x)))
✓	52.0%	(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/240 binary64)))))) (.f64 #s(literal 1/2 binary64) x))
✓	51.9%	(+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 #s(literal 1/2 binary64) x))
✓	52.0%	(.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/240 binary64)))))))
✓	52.1%	(.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))))))))
✓	52.0%	(.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))))))
✓	51.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
▶	51.5%	(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))))) (/.f64 #s(literal 1 binary64) (-.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 x (*.f64 x #s(literal 17/40320 binary64)))))))))))
▶	51.5%	(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2880 binary64) (.f64 (.f64 x x) #s(literal 127/2419200 binary64))))))) (/.f64 #s(literal 1 binary64) (-.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 x (.f64 x #s(literal 17/40320 binary64)))))))))))
▶	51.6%	(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (-.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 x (.f64 x #s(literal 17/40320 binary64)))))))))))
▶	52.5%	(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (-.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 x (.f64 x #s(literal 17/40320 binary64)))))))))))
✓	52.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Compiler

Compiled 591 to 298 computations (49.6% saved)

simplify214.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	256	(/.f64 (.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	512	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (*.f64 x x)))))
✓	cost-diff	768	(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x)))) (*.f64 #s(literal 1/2 binary64) x)))
✓	cost-diff	0	(.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64))))))
✓	cost-diff	0	(-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64)))))))
✓	cost-diff	128	(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))))) (/.f64 #s(literal 1 binary64) (-.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 x (.f64 x #s(literal 17/40320 binary64))))))))))
✓	cost-diff	128	(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))))) (/.f64 #s(literal 1 binary64) (-.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 x (*.f64 x #s(literal 17/40320 binary64)))))))))))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2880 binary64) (.f64 (.f64 x x) #s(literal 127/2419200 binary64))))))
✓	cost-diff	0	(-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2880 binary64) (.f64 (.f64 x x) #s(literal 127/2419200 binary64)))))))
✓	cost-diff	128	(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2880 binary64) (.f64 (.f64 x x) #s(literal 127/2419200 binary64))))))) (/.f64 #s(literal 1 binary64) (-.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 x (*.f64 x #s(literal 17/40320 binary64))))))))))
✓	cost-diff	128	(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2880 binary64) (.f64 (.f64 x x) #s(literal 127/2419200 binary64))))))) (/.f64 #s(literal 1 binary64) (-.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 x (.f64 x #s(literal 17/40320 binary64)))))))))))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64)))
✓	cost-diff	128	(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (-.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 x (*.f64 x #s(literal 17/40320 binary64))))))))))
✓	cost-diff	128	(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (-.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 x (.f64 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 x (.f64 x #s(literal 17/40320 binary64))))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.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 x (.f64 x #s(literal 17/40320 binary64)))))))))
✓	cost-diff	128	(.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (-.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 x (*.f64 x #s(literal 17/40320 binary64))))))))))
✓	cost-diff	128	(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (-.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 x (.f64 x #s(literal 17/40320 binary64)))))))))))

Rules

5964×	`-lowering-.f32`
5964×	`-lowering-.f64`
2074×	`+-lowering-+.f64`
2074×	`+-lowering-+.f32`
1468×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	1180
1	201	1027
2	895	992
3	4777	984
0	9085	984

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (* 1/4 (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))))
x
(* 1/4 (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))))))
1/4
(/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))
1
(- 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))
(* x 17/40320)
17/40320
(* x (* (- 1/4 (* (* x (* x (* x x))) 1/576)) (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))))
x
(* (- 1/4 (* (* x (* x (* x x))) 1/576)) (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))))))
(- 1/4 (* (* x (* x (* x x))) 1/576))
1/4
(* (* x (* x (* x x))) 1/576)
(* x (* x (* x x)))
(* x (* x x))
(* x x)
1/576
(/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))
1
(- 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))))))
(+ 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))
(* x 17/40320)
17/40320
(* x (* (- 1/4 (* (* x (* x (* x x))) (+ 1/576 (* (* x x) (+ 1/2880 (* (* x x) 127/2419200)))))) (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))))
x
(* (- 1/4 (* (* x (* x (* x x))) (+ 1/576 (* (* x x) (+ 1/2880 (* (* x x) 127/2419200)))))) (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))))))
(- 1/4 (* (* x (* x (* x x))) (+ 1/576 (* (* x x) (+ 1/2880 (* (* x x) 127/2419200))))))
1/4
(* (* x (* x (* x x))) (+ 1/576 (* (* x x) (+ 1/2880 (* (* x x) 127/2419200)))))
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(+ 1/576 (* (* x x) (+ 1/2880 (* (* x x) 127/2419200))))
1/576
(* (* x x) (+ 1/2880 (* (* x x) 127/2419200)))
(+ 1/2880 (* (* x x) 127/2419200))
1/2880
(* (* x x) 127/2419200)
127/2419200
(/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))
1
(- 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))))))
(+ 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))
(* x 17/40320)
17/40320
(* x (* (- 1/4 (* (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))) (* x (* x (+ 1/24 (* (* x x) 1/240)))))) (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))))
x
(* (- 1/4 (* (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))) (* x (* x (+ 1/24 (* (* x x) 1/240)))))) (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))))))
(- 1/4 (* (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))) (* x (* x (+ 1/24 (* (* x x) 1/240))))))
1/4
(* (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))) (* x (* x (+ 1/24 (* (* x x) 1/240)))))
(* (* 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))
(* x 17/40320)
17/40320
(* x (* x (+ 1/24 (* (* x x) 1/240))))
(* x (+ 1/24 (* (* x x) 1/240)))
(+ 1/24 (* (* x x) 1/240))
(* (* x x) 1/240)
(/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))
1
(- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))))
1/2
(- (/ (* (* 1/2 x) (* 1/2 x)) (- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))))) (/ (* (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))) (* 1/2 x)))
(/ (* (* 1/2 x) (* 1/2 x)) (- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))))
(* (* 1/2 x) (* 1/2 x))
(* 1/2 x)
1/2
x
(- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))))
(* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))
(+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))
1/24
(* (* x x) (+ 1/240 (* x (* x 17/40320))))
(* x x)
(+ 1/240 (* x (* x 17/40320)))
1/240
(* x (* x 17/40320))
(* x 17/40320)
17/40320
(* x (* x x))
(/ (* (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))) (* 1/2 x))
(* (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))))

Outputs
(* x (* 1/4 (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))))
(/.f64 (.f64 x #s(literal 1/4 binary64)) (-.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
(* 1/4 (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))))))
(/.f64 #s(literal 1/4 binary64) (-.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)))))))))
1/4
#s(literal 1/4 binary64)
(/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))
(/.f64 #s(literal 1 binary64) (-.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
#s(literal 1 binary64)
(- 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))
(* x 17/40320)
(*.f64 x #s(literal 17/40320 binary64))
17/40320
#s(literal 17/40320 binary64)
(* x (* (- 1/4 (* (* x (* x (* x x))) 1/576)) (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))))
(/.f64 (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64)))) (-.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
(* (- 1/4 (* (* x (* x (* x x))) 1/576)) (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (-.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)))))))))
(- 1/4 (* (* x (* x (* x x))) 1/576))
(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64)))
1/4
#s(literal 1/4 binary64)
(* (* x (* x (* x x))) 1/576)
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
1/576
#s(literal 1/576 binary64)
(/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))
(/.f64 #s(literal 1 binary64) (-.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
#s(literal 1 binary64)
(- 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)))))))
(+ 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))
(* x 17/40320)
(*.f64 x #s(literal 17/40320 binary64))
17/40320
#s(literal 17/40320 binary64)
(* x (* (- 1/4 (* (* x (* x (* x x))) (+ 1/576 (* (* x x) (+ 1/2880 (* (* x x) 127/2419200)))))) (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))))
(/.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/576 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2880 binary64) (.f64 (.f64 x x) #s(literal 127/2419200 binary64))))))))) (-.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
(* (- 1/4 (* (* x (* x (* x x))) (+ 1/576 (* (* x x) (+ 1/2880 (* (* x x) 127/2419200)))))) (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/576 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2880 binary64) (.f64 (.f64 x x) #s(literal 127/2419200 binary64)))))))) (-.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)))))))))
(- 1/4 (* (* x (* x (* x x))) (+ 1/576 (* (* x x) (+ 1/2880 (* (* x x) 127/2419200))))))
(-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/576 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2880 binary64) (.f64 (.f64 x x) #s(literal 127/2419200 binary64))))))))
1/4
#s(literal 1/4 binary64)
(* (* x (* x (* x x))) (+ 1/576 (* (* x x) (+ 1/2880 (* (* x x) 127/2419200)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/576 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2880 binary64) (.f64 (.f64 x x) #s(literal 127/2419200 binary64)))))))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(+ 1/576 (* (* x x) (+ 1/2880 (* (* x x) 127/2419200))))
(+.f64 #s(literal 1/576 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2880 binary64) (.f64 (.f64 x x) #s(literal 127/2419200 binary64))))))
1/576
#s(literal 1/576 binary64)
(* (* x x) (+ 1/2880 (* (* x x) 127/2419200)))
(.f64 x (.f64 x (+.f64 #s(literal 1/2880 binary64) (.f64 (.f64 x x) #s(literal 127/2419200 binary64)))))
(+ 1/2880 (* (* x x) 127/2419200))
(+.f64 #s(literal 1/2880 binary64) (.f64 (.f64 x x) #s(literal 127/2419200 binary64)))
1/2880
#s(literal 1/2880 binary64)
(* (* x x) 127/2419200)
(.f64 (.f64 x x) #s(literal 127/2419200 binary64))
127/2419200
#s(literal 127/2419200 binary64)
(/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))
(/.f64 #s(literal 1 binary64) (-.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
#s(literal 1 binary64)
(- 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)))))))
(+ 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))
(* x 17/40320)
(*.f64 x #s(literal 17/40320 binary64))
17/40320
#s(literal 17/40320 binary64)
(* x (* (- 1/4 (* (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))) (* x (* x (+ 1/24 (* (* x x) 1/240)))))) (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))))
(/.f64 (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (-.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)))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64)))))))) (-.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
(* (- 1/4 (* (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))) (* x (* x (+ 1/24 (* (* x x) 1/240)))))) (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (-.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)))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))))) (-.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)))))))))
(- 1/4 (* (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))) (* x (* x (+ 1/24 (* (* x x) 1/240))))))
(+.f64 #s(literal 1/4 binary64) (.f64 (-.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)))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64)))))))
1/4
#s(literal 1/4 binary64)
(* (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))) (* x (* x (+ 1/24 (* (* x x) 1/240)))))
(.f64 x (.f64 x (.f64 (+.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)))))) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 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))
(* x 17/40320)
(*.f64 x #s(literal 17/40320 binary64))
17/40320
#s(literal 17/40320 binary64)
(* x (* x (+ 1/24 (* (* x x) 1/240))))
(.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64)))))
(* x (+ 1/24 (* (* x x) 1/240)))
(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64))))
(+ 1/24 (* (* x x) 1/240))
(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64)))
(* (* x x) 1/240)
(.f64 (.f64 x x) #s(literal 1/240 binary64))
(/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))
(/.f64 #s(literal 1 binary64) (-.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
#s(literal 1 binary64)
(- 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)
(- (/ (* (* 1/2 x) (* 1/2 x)) (- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))))) (/ (* (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))) (* 1/2 x)))
(-.f64 (/.f64 (.f64 x #s(literal 1/4 binary64)) (-.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))))))))) (.f64 (+.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)))))) (.f64 x (/.f64 (.f64 x (.f64 x (.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))))))))) #s(literal 1/2 binary64)))))
(/ (* (* 1/2 x) (* 1/2 x)) (- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))))
(/.f64 (.f64 x #s(literal 1/4 binary64)) (-.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 x) (* 1/2 x))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
x
(- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))))
(.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)))))))))
(* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))
(.f64 x (.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))))))))
(+ 1/24 (* (* 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)))))
(* x x)
(*.f64 x x)
(+ 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))
(* x 17/40320)
(*.f64 x #s(literal 17/40320 binary64))
17/40320
#s(literal 17/40320 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
(/ (* (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))) (* 1/2 x))
(.f64 (+.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)))))) (.f64 x (/.f64 (.f64 x (.f64 x (.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))))))))) #s(literal 1/2 binary64))))
(* (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))))
(.f64 (+.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)))))) (.f64 x (.f64 x (.f64 x (.f64 x (.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))))))))))))

localize386.0ms (4.6%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 17/40320 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 17/40320 binary64))
✓	accuracy	98.5%	(/.f64 (.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/2 binary64) x))
✓	accuracy	51.4%	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (*.f64 x x)))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 17/40320 binary64)))
✓	accuracy	99.7%	(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64))))
✓	accuracy	99.5%	(*.f64 x #s(literal 17/40320 binary64))
✓	accuracy	63.6%	(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))))) (/.f64 #s(literal 1 binary64) (-.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 x (.f64 x #s(literal 17/40320 binary64))))))))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 17/40320 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 17/40320 binary64))
✓	accuracy	99.4%	(.f64 (.f64 x x) #s(literal 127/2419200 binary64))
✓	accuracy	64.1%	(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2880 binary64) (.f64 (.f64 x x) #s(literal 127/2419200 binary64))))))) (/.f64 #s(literal 1 binary64) (-.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 x (*.f64 x #s(literal 17/40320 binary64))))))))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 17/40320 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 17/40320 binary64))
✓	accuracy	78.1%	(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (-.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 x (.f64 x #s(literal 17/40320 binary64)))))))))))
✓	accuracy	61.6%	(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (-.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 x (*.f64 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 x (.f64 x #s(literal 17/40320 binary64)))))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 17/40320 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 17/40320 binary64))
✓	accuracy	98.9%	(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (-.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 x (.f64 x #s(literal 17/40320 binary64)))))))))))

Results

188.0ms

256×

valid

Compiler

Compiled 1254 to 52 computations (95.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-mult: 58.0ms (55% of total)

...c/correct-round.rkt:119:19: 21.0ms (19.9% of total)

ival-add: 12.0ms (11.4% of total)

ival-sub: 7.0ms (6.6% of total)

ival-div: 6.0ms (5.7% of total)

const: 1.0ms (0.9% of total)

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

series40.0ms (0.5%)

Counts

25 → 300

Calls

Call 1

Inputs
#<alt (* x (* 1/4 (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))))>
#<alt (* 1/4 (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))))))>
#<alt (/ 1 (- 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 (* (- 1/4 (* (* x (* x (* x x))) 1/576)) (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))))>
#<alt (* (- 1/4 (* (* x (* x (* x x))) 1/576)) (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))))))>
#<alt (- 1/4 (* (* x (* x (* x x))) 1/576))>
#<alt (* (* x (* x (* x x))) 1/576)>
#<alt (* x (* (- 1/4 (* (* x (* x (* x x))) (+ 1/576 (* (* x x) (+ 1/2880 (* (* x x) 127/2419200)))))) (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))))>
#<alt (* (- 1/4 (* (* x (* x (* x x))) (+ 1/576 (* (* x x) (+ 1/2880 (* (* x x) 127/2419200)))))) (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))))))>
#<alt (- 1/4 (* (* x (* x (* x x))) (+ 1/576 (* (* x x) (+ 1/2880 (* (* x x) 127/2419200))))))>
#<alt (* (* x (* x (* x x))) (+ 1/576 (* (* x x) (+ 1/2880 (* (* x x) 127/2419200)))))>
#<alt (* x (* (- 1/4 (* (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))) (* x (* x (+ 1/24 (* (* x x) 1/240)))))) (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))))>
#<alt (* (- 1/4 (* (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))) (* x (* x (+ 1/24 (* (* x x) 1/240)))))) (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))))))>
#<alt (- 1/4 (* (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))) (* x (* x (+ 1/24 (* (* x x) 1/240))))))>
#<alt (* (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))) (* x (* x (+ 1/24 (* (* x x) 1/240)))))>
#<alt (- (/ (* (* 1/2 x) (* 1/2 x)) (- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))))) (/ (* (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))) (* 1/2 x)))>
#<alt (/ (* (* 1/2 x) (* 1/2 x)) (- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))))>
#<alt (/ (* (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))) (* 1/2 x))>
#<alt (* (* 1/2 x) (* 1/2 x))>
#<alt (* x 17/40320)>
#<alt (* x (* x 17/40320))>
#<alt (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))>
#<alt (* (* x x) 127/2419200)>
#<alt (* x (+ 1/24 (* (* x x) 1/240)))>

Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 11/1440 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 11/1440 (* 17/12096 (pow x 2))))))))>
#<alt (/ -10080/17 (pow x 5))>
#<alt (/ (- (* 1693440/289 (/ 1 (pow x 2))) 10080/17) (pow x 5))>
#<alt (/ (- (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4))) 10080/17) (pow x 5))>
#<alt (/ (- (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4))) (+ 10080/17 (* 107662141440/83521 (/ 1 (pow x 6))))) (pow x 5))>
#<alt (/ -10080/17 (pow x 5))>
#<alt (* -1 (/ (- 10080/17 (* 1693440/289 (/ 1 (pow x 2)))) (pow x 5)))>
#<alt (* -1 (/ (+ 10080/17 (* -1 (/ (+ 1693440/289 (* 3386880/4913 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5)))>
#<alt (* -1 (/ (- (+ 10080/17 (* 107662141440/83521 (/ 1 (pow x 6)))) (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4)))) (pow x 5)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 11/1440 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 11/1440 (* 17/12096 (pow x 2)))))))>
#<alt (/ -10080/17 (pow x 6))>
#<alt (/ (- (* 1693440/289 (/ 1 (pow x 2))) 10080/17) (pow x 6))>
#<alt (/ (- (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4))) 10080/17) (pow x 6))>
#<alt (/ (- (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4))) (+ 10080/17 (* 107662141440/83521 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ -10080/17 (pow x 6))>
#<alt (/ (- (* 1693440/289 (/ 1 (pow x 2))) 10080/17) (pow x 6))>
#<alt (/ (- (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4))) 10080/17) (pow x 6))>
#<alt (/ (- (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4))) (+ 10080/17 (* 107662141440/83521 (/ 1 (pow x 6))))) (pow x 6))>
#<alt 2>
#<alt (+ 2 (* 1/6 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 1/6 (* 11/360 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 11/360 (* 17/3024 (pow x 2)))))))>
#<alt (/ -40320/17 (pow x 6))>
#<alt (/ (- (* 6773760/289 (/ 1 (pow x 2))) 40320/17) (pow x 6))>
#<alt (/ (- (+ (* 6773760/289 (/ 1 (pow x 2))) (/ 13547520/4913 (pow x 4))) 40320/17) (pow x 6))>
#<alt (/ (- (+ (* 6773760/289 (/ 1 (pow x 2))) (/ 13547520/4913 (pow x 4))) (+ 40320/17 (* 430648565760/83521 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ -40320/17 (pow x 6))>
#<alt (/ (- (* 6773760/289 (/ 1 (pow x 2))) 40320/17) (pow x 6))>
#<alt (/ (- (+ (* 6773760/289 (/ 1 (pow x 2))) (/ 13547520/4913 (pow x 4))) 40320/17) (pow x 6))>
#<alt (/ (- (+ (* 6773760/289 (/ 1 (pow x 2))) (/ 13547520/4913 (pow x 4))) (+ 40320/17 (* 430648565760/83521 (/ 1 (pow x 6))))) (pow x 6))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)))>
#<alt (* -17/40320 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))>
#<alt (* (pow x 6) (- (* 1/2 (/ 1 (pow x 6))) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))>
#<alt (* -17/40320 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))>
#<alt (* (pow x 6) (- (* 1/2 (/ 1 (pow x 6))) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 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 (* 1/896 (pow x 2))))))))>
#<alt (/ 70/17 x)>
#<alt (/ (- 70/17 (* 11760/289 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 70/17 (* -1 (/ (+ 11760/289 (* 2936640/4913 (/ 1 (pow x 2)))) (pow x 2)))) x)>
#<alt (/ (- (+ 70/17 (* 1237057920/83521 (/ 1 (pow x 6)))) (+ (* 11760/289 (/ 1 (pow x 2))) (/ 2936640/4913 (pow x 4)))) x)>
#<alt (/ 70/17 x)>
#<alt (* -1 (/ (- (* 11760/289 (/ 1 (pow x 2))) 70/17) x))>
#<alt (* -1 (/ (- (+ (* 11760/289 (/ 1 (pow x 2))) (/ 2936640/4913 (pow x 4))) 70/17) x))>
#<alt (* -1 (/ (- (+ (* 11760/289 (/ 1 (pow x 2))) (/ 2936640/4913 (pow x 4))) (+ 70/17 (* 1237057920/83521 (/ 1 (pow x 6))))) x))>
#<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 (* 1/896 (pow x 2)))))))>
#<alt (/ 70/17 (pow x 2))>
#<alt (/ (- 70/17 (* 11760/289 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 70/17 (* -1 (/ (+ 11760/289 (* 2936640/4913 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 70/17 (* 1237057920/83521 (/ 1 (pow x 6)))) (+ (* 11760/289 (/ 1 (pow x 2))) (/ 2936640/4913 (pow x 4)))) (pow x 2))>
#<alt (/ 70/17 (pow x 2))>
#<alt (/ (- 70/17 (* 11760/289 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 70/17 (* -1 (/ (+ 11760/289 (* 2936640/4913 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 70/17 (* 1237057920/83521 (/ 1 (pow x 6)))) (+ (* 11760/289 (/ 1 (pow x 2))) (/ 2936640/4913 (pow x 4)))) (pow x 2))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/576 (pow x 4)))>
#<alt (+ 1/4 (* -1/576 (pow x 4)))>
#<alt (+ 1/4 (* -1/576 (pow x 4)))>
#<alt (* -1/576 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* -1/576 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* 1/576 (pow x 4))>
#<alt (* 1/576 (pow x 4))>
#<alt (* 1/576 (pow x 4))>
#<alt (* 1/576 (pow x 4))>
#<alt (* 1/576 (pow x 4))>
#<alt (* 1/576 (pow x 4))>
#<alt (* 1/576 (pow x 4))>
#<alt (* 1/576 (pow x 4))>
#<alt (* 1/576 (pow x 4))>
#<alt (* 1/576 (pow x 4))>
#<alt (* 1/576 (pow x 4))>
#<alt (* 1/576 (pow x 4))>
#<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 (* 127/1020 (pow x 3))>
#<alt (* (pow x 3) (- 127/1020 (* 588/1445 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 127/1020 (* -1 (/ (+ 588/1445 (* 102326/24565 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 3) (- (+ 127/1020 (* 95645088/417605 (/ 1 (pow x 6)))) (+ (* 588/1445 (/ 1 (pow x 2))) (/ 102326/24565 (pow x 4)))))>
#<alt (* 127/1020 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 588/1445 (/ 1 (pow x 2))) 127/1020)))>
#<alt (* -1 (* (pow x 3) (- (+ (* 588/1445 (/ 1 (pow x 2))) (/ 102326/24565 (pow x 4))) 127/1020)))>
#<alt (* -1 (* (pow x 3) (- (+ (* 588/1445 (/ 1 (pow x 2))) (/ 102326/24565 (pow x 4))) (+ 127/1020 (* 95645088/417605 (/ 1 (pow x 6)))))))>
#<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 (* 127/1020 (pow x 2))>
#<alt (* (pow x 2) (- 127/1020 (* 588/1445 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 127/1020 (* -1 (/ (+ 588/1445 (* 102326/24565 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 127/1020 (* 95645088/417605 (/ 1 (pow x 6)))) (+ (* 588/1445 (/ 1 (pow x 2))) (/ 102326/24565 (pow x 4)))))>
#<alt (* 127/1020 (pow x 2))>
#<alt (* (pow x 2) (- 127/1020 (* 588/1445 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 127/1020 (* -1 (/ (+ 588/1445 (* 102326/24565 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 127/1020 (* 95645088/417605 (/ 1 (pow x 6)))) (+ (* 588/1445 (/ 1 (pow x 2))) (/ 102326/24565 (pow x 4)))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/576 (pow x 4)))>
#<alt (+ 1/4 (* (pow x 4) (- (* -1/2880 (pow x 2)) 1/576)))>
#<alt (+ 1/4 (* (pow x 4) (- (* (pow x 2) (- (* -127/2419200 (pow x 2)) 1/2880)) 1/576)))>
#<alt (* -127/2419200 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 1/2880 (* 1/576 (/ 1 (pow x 2)))) (pow x 2))) 127/2419200))>
#<alt (* (pow x 8) (- (* 1/4 (/ 1 (pow x 8))) (+ 127/2419200 (+ (/ 1/576 (pow x 4)) (* 1/2880 (/ 1 (pow x 2)))))))>
#<alt (* -127/2419200 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 1/2880 (* 1/576 (/ 1 (pow x 2)))) (pow x 2))) 127/2419200))>
#<alt (* (pow x 8) (- (* 1/4 (/ 1 (pow x 8))) (+ 127/2419200 (+ (/ 1/576 (pow x 4)) (* 1/2880 (/ 1 (pow x 2)))))))>
#<alt (* 1/576 (pow x 4))>
#<alt (* (pow x 4) (+ 1/576 (* 1/2880 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/576 (* (pow x 2) (+ 1/2880 (* 127/2419200 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/576 (* (pow x 2) (+ 1/2880 (* 127/2419200 (pow x 2))))))>
#<alt (* 127/2419200 (pow x 8))>
#<alt (* (pow x 8) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 127/2419200 (+ (/ 1/576 (pow x 4)) (* 1/2880 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 127/2419200 (+ (/ 1/576 (pow x 4)) (* 1/2880 (/ 1 (pow x 2))))))>
#<alt (* 127/2419200 (pow x 8))>
#<alt (* (pow x 8) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 127/2419200 (+ (/ 1/576 (pow x 4)) (* 1/2880 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 127/2419200 (+ (/ 1/576 (pow x 4)) (* 1/2880 (/ 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 (* 1/240 (pow x 5))>
#<alt (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/240 (+ (* 1/24 (/ 1 (pow x 2))) (/ 84/17 (pow x 6)))))>
#<alt (* (pow x 5) (+ 1/240 (+ (* 1/24 (/ 1 (pow x 2))) (+ (* 168/289 (/ 1 (pow x 8))) (/ 84/17 (pow x 6))))))>
#<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 (* 84/17 (/ 1 (pow x 4)))) (pow x 2))) 1/240)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 84/17 (* 168/289 (/ 1 (pow x 2)))) (pow x 6))) (+ 1/240 (* 1/24 (/ 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 (* 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))) (/ 84/17 (pow x 6)))))>
#<alt (* (pow x 4) (+ 1/240 (+ (* 1/24 (/ 1 (pow x 2))) (+ (* 168/289 (/ 1 (pow x 8))) (/ 84/17 (pow x 6))))))>
#<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))) (/ 84/17 (pow x 6)))))>
#<alt (* (pow x 4) (+ 1/240 (+ (* 1/24 (/ 1 (pow x 2))) (+ (* 168/289 (/ 1 (pow x 8))) (/ 84/17 (pow x 6))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/576 (pow x 4)))>
#<alt (+ 1/4 (* (pow x 4) (- (* -1/2880 (pow x 2)) 1/576)))>
#<alt (+ 1/4 (* (pow x 4) (- (* (pow x 2) (- (* -169/4838400 (pow x 2)) 1/2880)) 1/576)))>
#<alt (* -17/9676800 (pow x 10))>
#<alt (* -1 (* (pow x 10) (+ 17/9676800 (* 169/4838400 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (- (* -1 (/ (+ 169/4838400 (* 1/2880 (/ 1 (pow x 2)))) (pow x 2))) 17/9676800))>
#<alt (* (pow x 10) (- (* -1 (/ (+ 1/2880 (* 1/576 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/9676800 (* 169/4838400 (/ 1 (pow x 2))))))>
#<alt (* -17/9676800 (pow x 10))>
#<alt (* -1 (* (pow x 10) (+ 17/9676800 (* 169/4838400 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (- (* -1 (/ (+ 169/4838400 (* 1/2880 (/ 1 (pow x 2)))) (pow x 2))) 17/9676800))>
#<alt (* (pow x 10) (- (* -1 (/ (+ 1/2880 (* 1/576 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/9676800 (* 169/4838400 (/ 1 (pow x 2))))))>
#<alt (* 1/576 (pow x 4))>
#<alt (* (pow x 4) (+ 1/576 (* 1/2880 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/576 (* (pow x 2) (+ 1/2880 (* 169/4838400 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/576 (* (pow x 2) (+ 1/2880 (* (pow x 2) (+ 169/4838400 (* 17/9676800 (pow x 2))))))))>
#<alt (* 17/9676800 (pow x 10))>
#<alt (* (pow x 10) (+ 17/9676800 (* 169/4838400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 17/9676800 (+ (/ 1/2880 (pow x 4)) (* 169/4838400 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 17/9676800 (+ (/ 1/2880 (pow x 4)) (+ (* 169/4838400 (/ 1 (pow x 2))) (* 1/576 (/ 1 (pow x 6)))))))>
#<alt (* 17/9676800 (pow x 10))>
#<alt (* (pow x 10) (+ 17/9676800 (* 169/4838400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 17/9676800 (+ (/ 1/2880 (pow x 4)) (* 169/4838400 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 17/9676800 (+ (/ 1/2880 (pow x 4)) (+ (* 169/4838400 (/ 1 (pow x 2))) (* 1/576 (/ 1 (pow x 6)))))))>
#<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 (* 43/60480 (pow x 2))))))))>
#<alt (* -289/812851200 (pow x 13))>
#<alt (* -1 (* (pow x 13) (+ 289/812851200 (* 17/2419200 (/ 1 (pow x 2))))))>
#<alt (* (pow x 13) (- (* -1 (/ (+ 17/2419200 (* 127/1209600 (/ 1 (pow x 2)))) (pow x 2))) 289/812851200))>
#<alt (* (pow x 13) (- (* -1 (/ (+ 127/1209600 (* 1/1440 (/ 1 (pow x 2)))) (pow x 4))) (+ 289/812851200 (* 17/2419200 (/ 1 (pow x 2))))))>
#<alt (* -289/812851200 (pow x 13))>
#<alt (* -1 (* (pow x 13) (+ 289/812851200 (* 17/2419200 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 13) (+ 289/812851200 (+ (/ 127/1209600 (pow x 4)) (* 17/2419200 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 13) (+ 289/812851200 (+ (/ 127/1209600 (pow x 4)) (+ (* 17/2419200 (/ 1 (pow x 2))) (* 1/1440 (/ 1 (pow x 6))))))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 11/1440 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 11/1440 (* 17/12096 (pow x 2))))))))>
#<alt (/ -10080/17 (pow x 5))>
#<alt (/ (- (* 1693440/289 (/ 1 (pow x 2))) 10080/17) (pow x 5))>
#<alt (/ (- (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4))) 10080/17) (pow x 5))>
#<alt (/ (- (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4))) (+ 10080/17 (* 107662141440/83521 (/ 1 (pow x 6))))) (pow x 5))>
#<alt (/ -10080/17 (pow x 5))>
#<alt (* -1 (/ (- 10080/17 (* 1693440/289 (/ 1 (pow x 2)))) (pow x 5)))>
#<alt (* -1 (/ (+ 10080/17 (* -1 (/ (+ 1693440/289 (* 3386880/4913 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5)))>
#<alt (* -1 (/ (- (+ 10080/17 (* 107662141440/83521 (/ 1 (pow x 6)))) (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4)))) (pow x 5)))>
#<alt (* 1/288 (pow x 5))>
#<alt (* (pow x 5) (+ 1/288 (* 1/1440 (pow x 2))))>
#<alt (* (pow x 5) (+ 1/288 (* (pow x 2) (+ 1/1440 (* 127/1209600 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/288 (* (pow x 2) (+ 1/1440 (* (pow x 2) (+ 127/1209600 (* 17/2419200 (pow x 2))))))))>
#<alt (* 289/812851200 (pow x 13))>
#<alt (* (pow x 13) (+ 289/812851200 (* 17/2419200 (/ 1 (pow x 2)))))>
#<alt (* (pow x 13) (+ 289/812851200 (+ (/ 127/1209600 (pow x 4)) (* 17/2419200 (/ 1 (pow x 2))))))>
#<alt (* (pow x 13) (+ 289/812851200 (+ (/ 127/1209600 (pow x 4)) (+ (* 17/2419200 (/ 1 (pow x 2))) (* 1/1440 (/ 1 (pow x 6)))))))>
#<alt (* 289/812851200 (pow x 13))>
#<alt (* (pow x 13) (+ 289/812851200 (* 17/2419200 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 13) (- (* -1 (/ (+ 17/2419200 (* 127/1209600 (/ 1 (pow x 2)))) (pow x 2))) 289/812851200)))>
#<alt (* -1 (* (pow x 13) (- (* -1 (/ (+ 127/1209600 (* 1/1440 (/ 1 (pow x 2)))) (pow x 4))) (+ 289/812851200 (* 17/2419200 (/ 1 (pow x 2)))))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 17/40320 x)>
#<alt (* 17/40320 x)>
#<alt (* 17/40320 x)>
#<alt (* 17/40320 x)>
#<alt (* 17/40320 x)>
#<alt (* 17/40320 x)>
#<alt (* 17/40320 x)>
#<alt (* 17/40320 x)>
#<alt (* 17/40320 x)>
#<alt (* 17/40320 x)>
#<alt (* 17/40320 x)>
#<alt (* 17/40320 x)>
#<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 (* 1/24 (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 (* 127/2419200 (pow x 2))>
#<alt (* 127/2419200 (pow x 2))>
#<alt (* 127/2419200 (pow x 2))>
#<alt (* 127/2419200 (pow x 2))>
#<alt (* 127/2419200 (pow x 2))>
#<alt (* 127/2419200 (pow x 2))>
#<alt (* 127/2419200 (pow x 2))>
#<alt (* 127/2419200 (pow x 2))>
#<alt (* 127/2419200 (pow x 2))>
#<alt (* 127/2419200 (pow x 2))>
#<alt (* 127/2419200 (pow x 2))>
#<alt (* 127/2419200 (pow x 2))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/240 (pow x 2))))>
#<alt (* x (+ 1/24 (* 1/240 (pow x 2))))>
#<alt (* x (+ 1/24 (* 1/240 (pow x 2))))>
#<alt (* 1/240 (pow x 3))>
#<alt (* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/240 (pow x 3))>
#<alt (* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))>

Calls

75 calls:

Time	Variable		Point	Expression
25.0ms	x	@	inf	(* x (* (- 1/4 (* (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))) (* x (* x (+ 1/24 (* (* x x) 1/240)))))) (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))))
1.0ms	x	@	-inf	(* x (* (- 1/4 (* (* x (* x (* x x))) 1/576)) (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))))
1.0ms	x	@	inf	(* x (* (- 1/4 (* (* x (* x (* x x))) (+ 1/576 (* (* x x) (+ 1/2880 (* (* x x) 127/2419200)))))) (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))))
0.0ms	x	@	-inf	(* x (* (- 1/4 (* (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))) (* x (* x (+ 1/24 (* (* x x) 1/240)))))) (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))))
0.0ms	x	@	inf	(* (* x (* x (* x x))) (+ 1/576 (* (* x x) (+ 1/2880 (* (* x x) 127/2419200)))))

rewrite389.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4790×	`-lowering-.f32`
4790×	`-lowering-.f64`
2416×	`pow-lowering-pow.f64`
2416×	`pow-lowering-pow.f32`
1922×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	590
1	375	515
2	3918	495
0	8561	495

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 492

Calls

Call 1

Inputs
(* x (* 1/4 (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))))
(* 1/4 (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))))))
(/ 1 (- 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 (* (- 1/4 (* (* x (* x (* x x))) 1/576)) (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))))
(* (- 1/4 (* (* x (* x (* x x))) 1/576)) (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))))))
(- 1/4 (* (* x (* x (* x x))) 1/576))
(* (* x (* x (* x x))) 1/576)
(* x (* (- 1/4 (* (* x (* x (* x x))) (+ 1/576 (* (* x x) (+ 1/2880 (* (* x x) 127/2419200)))))) (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))))
(* (- 1/4 (* (* x (* x (* x x))) (+ 1/576 (* (* x x) (+ 1/2880 (* (* x x) 127/2419200)))))) (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))))))
(- 1/4 (* (* x (* x (* x x))) (+ 1/576 (* (* x x) (+ 1/2880 (* (* x x) 127/2419200))))))
(* (* x (* x (* x x))) (+ 1/576 (* (* x x) (+ 1/2880 (* (* x x) 127/2419200)))))
(* x (* (- 1/4 (* (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))) (* x (* x (+ 1/24 (* (* x x) 1/240)))))) (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))))))
(* (- 1/4 (* (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))) (* x (* x (+ 1/24 (* (* x x) 1/240)))))) (/ 1 (- 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))))))
(- 1/4 (* (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))) (* x (* x (+ 1/24 (* (* x x) 1/240))))))
(* (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))) (* x (* x (+ 1/24 (* (* x x) 1/240)))))
(- (/ (* (* 1/2 x) (* 1/2 x)) (- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))))) (/ (* (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))) (* 1/2 x)))
(/ (* (* 1/2 x) (* 1/2 x)) (- (* 1/2 x) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))))
(/ (* (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))) (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))) (* 1/2 x))
(* (* 1/2 x) (* 1/2 x))
(* x 17/40320)
(* x (* x 17/40320))
(* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))))
(* (* x x) 127/2419200)
(* x (+ 1/24 (* (* x x) 1/240)))

Outputs
(/.f64 (.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))))
(/.f64 (.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))))
(/.f64 (.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))))))
(.f64 x (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))))))
(.f64 #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))))) x))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))))) (.f64 x #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))))) x)
(.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))))))
(.f64 (.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))))) #s(literal 1/4 binary64))
(.f64 (.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))))))
(/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))) #s(literal 1/4 binary64)))
(/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))))))
(pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))))) #s(literal 1/4 binary64))
(.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))) (.f64 x (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 x (.f64 x x)))))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))))))
(.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 x (.f64 x x))))))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))))
(exp.f64 (.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))))))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))))))
(.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))) (.f64 x (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 x (.f64 x x)))))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))) (.f64 x (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 x (.f64 x x)))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 x (.f64 x x))))))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 x (.f64 x x))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))))) #s(literal -1 binary64)))
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))))
(+.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))) #s(literal 1/2 binary64))
(exp.f64 (neg.f64 (.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))))) #s(literal -1 binary64))))
(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))))
(-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))) #s(literal 1 binary64)))
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(.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 x (*.f64 x x)))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (.f64 x (*.f64 x x))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(.f64 #s(literal 1/4 binary64) (.f64 x x))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 x #s(literal 1/4 binary64)) x)
(.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(.f64 (exp.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))) (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 x #s(literal 17/40320 binary64))
(*.f64 #s(literal 17/40320 binary64) 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 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))) (.f64 x (.f64 x (.f64 x x)))))
(fma.f64 (.f64 x x) #s(literal 1/24 binary64) (.f64 (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))) (.f64 x (.f64 x (*.f64 x x)))))
(fma.f64 #s(literal 1/24 binary64) (.f64 x x) (.f64 (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))) (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))) (.f64 x (.f64 x (*.f64 x x))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 (.f64 (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))) (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64)))))) #s(literal 1/24 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))) (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))) (-.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))
(/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))) (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))) (.f64 x x)) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64)))))) #s(literal 1/24 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))) (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))) (.f64 x x)) (-.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))))) x)
(.f64 x (.f64 x #s(literal 127/2419200 binary64)))
(.f64 (.f64 x x) #s(literal 127/2419200 binary64))
(.f64 #s(literal 127/2419200 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 127/2419200 binary64)) x)
(+.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/240 binary64))))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/240 binary64))) (.f64 x #s(literal 1/24 binary64)))
(fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/240 binary64))))
(fma.f64 #s(literal 1/24 binary64) x (.f64 x (.f64 (*.f64 x x) #s(literal 1/240 binary64))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824000 binary64))))) (+.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/240 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/240 binary64)))) (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/240 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x #s(literal 1/24 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/240 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/240 binary64))))) (-.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/240 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824000 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 x (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/57600 binary64)))) (-.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824000 binary64)))) x) (+.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 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/57600 binary64))) x) (-.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64))))
(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64))) x)

simplify335.0ms (4%)

Algorithm

1×	egg-herbie

Rules

4962×	`+-lowering-+.f64`
4962×	`+-lowering-+.f32`
4498×	`-lowering-.f32`
4498×	`-lowering-.f64`
1758×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	425	3313
1	1331	3153
2	4256	3104
0	8123	3104

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 11/1440 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 11/1440 (* 17/12096 (pow x 2))))))))
(/ -10080/17 (pow x 5))
(/ (- (* 1693440/289 (/ 1 (pow x 2))) 10080/17) (pow x 5))
(/ (- (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4))) 10080/17) (pow x 5))
(/ (- (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4))) (+ 10080/17 (* 107662141440/83521 (/ 1 (pow x 6))))) (pow x 5))
(/ -10080/17 (pow x 5))
(* -1 (/ (- 10080/17 (* 1693440/289 (/ 1 (pow x 2)))) (pow x 5)))
(* -1 (/ (+ 10080/17 (* -1 (/ (+ 1693440/289 (* 3386880/4913 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5)))
(* -1 (/ (- (+ 10080/17 (* 107662141440/83521 (/ 1 (pow x 6)))) (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4)))) (pow x 5)))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 11/1440 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 11/1440 (* 17/12096 (pow x 2)))))))
(/ -10080/17 (pow x 6))
(/ (- (* 1693440/289 (/ 1 (pow x 2))) 10080/17) (pow x 6))
(/ (- (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4))) 10080/17) (pow x 6))
(/ (- (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4))) (+ 10080/17 (* 107662141440/83521 (/ 1 (pow x 6))))) (pow x 6))
(/ -10080/17 (pow x 6))
(/ (- (* 1693440/289 (/ 1 (pow x 2))) 10080/17) (pow x 6))
(/ (- (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4))) 10080/17) (pow x 6))
(/ (- (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4))) (+ 10080/17 (* 107662141440/83521 (/ 1 (pow x 6))))) (pow x 6))
2
(+ 2 (* 1/6 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/6 (* 11/360 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 11/360 (* 17/3024 (pow x 2)))))))
(/ -40320/17 (pow x 6))
(/ (- (* 6773760/289 (/ 1 (pow x 2))) 40320/17) (pow x 6))
(/ (- (+ (* 6773760/289 (/ 1 (pow x 2))) (/ 13547520/4913 (pow x 4))) 40320/17) (pow x 6))
(/ (- (+ (* 6773760/289 (/ 1 (pow x 2))) (/ 13547520/4913 (pow x 4))) (+ 40320/17 (* 430648565760/83521 (/ 1 (pow x 6))))) (pow x 6))
(/ -40320/17 (pow x 6))
(/ (- (* 6773760/289 (/ 1 (pow x 2))) 40320/17) (pow x 6))
(/ (- (+ (* 6773760/289 (/ 1 (pow x 2))) (/ 13547520/4913 (pow x 4))) 40320/17) (pow x 6))
(/ (- (+ (* 6773760/289 (/ 1 (pow x 2))) (/ 13547520/4913 (pow x 4))) (+ 40320/17 (* 430648565760/83521 (/ 1 (pow x 6))))) (pow x 6))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)))
(* -17/40320 (pow x 6))
(* -1 (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))
(* (pow x 6) (- (* 1/2 (/ 1 (pow x 6))) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))
(* -17/40320 (pow x 6))
(* -1 (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))
(* (pow x 6) (- (* 1/2 (/ 1 (pow x 6))) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 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 (* 1/896 (pow x 2))))))))
(/ 70/17 x)
(/ (- 70/17 (* 11760/289 (/ 1 (pow x 2)))) x)
(/ (+ 70/17 (* -1 (/ (+ 11760/289 (* 2936640/4913 (/ 1 (pow x 2)))) (pow x 2)))) x)
(/ (- (+ 70/17 (* 1237057920/83521 (/ 1 (pow x 6)))) (+ (* 11760/289 (/ 1 (pow x 2))) (/ 2936640/4913 (pow x 4)))) x)
(/ 70/17 x)
(* -1 (/ (- (* 11760/289 (/ 1 (pow x 2))) 70/17) x))
(* -1 (/ (- (+ (* 11760/289 (/ 1 (pow x 2))) (/ 2936640/4913 (pow x 4))) 70/17) x))
(* -1 (/ (- (+ (* 11760/289 (/ 1 (pow x 2))) (/ 2936640/4913 (pow x 4))) (+ 70/17 (* 1237057920/83521 (/ 1 (pow x 6))))) x))
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 (* 1/896 (pow x 2)))))))
(/ 70/17 (pow x 2))
(/ (- 70/17 (* 11760/289 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 70/17 (* -1 (/ (+ 11760/289 (* 2936640/4913 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 2))
(/ (- (+ 70/17 (* 1237057920/83521 (/ 1 (pow x 6)))) (+ (* 11760/289 (/ 1 (pow x 2))) (/ 2936640/4913 (pow x 4)))) (pow x 2))
(/ 70/17 (pow x 2))
(/ (- 70/17 (* 11760/289 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 70/17 (* -1 (/ (+ 11760/289 (* 2936640/4913 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 2))
(/ (- (+ 70/17 (* 1237057920/83521 (/ 1 (pow x 6)))) (+ (* 11760/289 (/ 1 (pow x 2))) (/ 2936640/4913 (pow x 4)))) (pow x 2))
1/4
(+ 1/4 (* -1/576 (pow x 4)))
(+ 1/4 (* -1/576 (pow x 4)))
(+ 1/4 (* -1/576 (pow x 4)))
(* -1/576 (pow x 4))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* -1/576 (pow x 4))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* 1/576 (pow x 4))
(* 1/576 (pow x 4))
(* 1/576 (pow x 4))
(* 1/576 (pow x 4))
(* 1/576 (pow x 4))
(* 1/576 (pow x 4))
(* 1/576 (pow x 4))
(* 1/576 (pow x 4))
(* 1/576 (pow x 4))
(* 1/576 (pow x 4))
(* 1/576 (pow x 4))
(* 1/576 (pow x 4))
(* 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))))))))
(* 127/1020 (pow x 3))
(* (pow x 3) (- 127/1020 (* 588/1445 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 127/1020 (* -1 (/ (+ 588/1445 (* 102326/24565 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 3) (- (+ 127/1020 (* 95645088/417605 (/ 1 (pow x 6)))) (+ (* 588/1445 (/ 1 (pow x 2))) (/ 102326/24565 (pow x 4)))))
(* 127/1020 (pow x 3))
(* -1 (* (pow x 3) (- (* 588/1445 (/ 1 (pow x 2))) 127/1020)))
(* -1 (* (pow x 3) (- (+ (* 588/1445 (/ 1 (pow x 2))) (/ 102326/24565 (pow x 4))) 127/1020)))
(* -1 (* (pow x 3) (- (+ (* 588/1445 (/ 1 (pow x 2))) (/ 102326/24565 (pow x 4))) (+ 127/1020 (* 95645088/417605 (/ 1 (pow x 6)))))))
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)))))))
(* 127/1020 (pow x 2))
(* (pow x 2) (- 127/1020 (* 588/1445 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 127/1020 (* -1 (/ (+ 588/1445 (* 102326/24565 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 2) (- (+ 127/1020 (* 95645088/417605 (/ 1 (pow x 6)))) (+ (* 588/1445 (/ 1 (pow x 2))) (/ 102326/24565 (pow x 4)))))
(* 127/1020 (pow x 2))
(* (pow x 2) (- 127/1020 (* 588/1445 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 127/1020 (* -1 (/ (+ 588/1445 (* 102326/24565 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 2) (- (+ 127/1020 (* 95645088/417605 (/ 1 (pow x 6)))) (+ (* 588/1445 (/ 1 (pow x 2))) (/ 102326/24565 (pow x 4)))))
1/4
(+ 1/4 (* -1/576 (pow x 4)))
(+ 1/4 (* (pow x 4) (- (* -1/2880 (pow x 2)) 1/576)))
(+ 1/4 (* (pow x 4) (- (* (pow x 2) (- (* -127/2419200 (pow x 2)) 1/2880)) 1/576)))
(* -127/2419200 (pow x 8))
(* -1 (* (pow x 8) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 1/2880 (* 1/576 (/ 1 (pow x 2)))) (pow x 2))) 127/2419200))
(* (pow x 8) (- (* 1/4 (/ 1 (pow x 8))) (+ 127/2419200 (+ (/ 1/576 (pow x 4)) (* 1/2880 (/ 1 (pow x 2)))))))
(* -127/2419200 (pow x 8))
(* -1 (* (pow x 8) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 1/2880 (* 1/576 (/ 1 (pow x 2)))) (pow x 2))) 127/2419200))
(* (pow x 8) (- (* 1/4 (/ 1 (pow x 8))) (+ 127/2419200 (+ (/ 1/576 (pow x 4)) (* 1/2880 (/ 1 (pow x 2)))))))
(* 1/576 (pow x 4))
(* (pow x 4) (+ 1/576 (* 1/2880 (pow x 2))))
(* (pow x 4) (+ 1/576 (* (pow x 2) (+ 1/2880 (* 127/2419200 (pow x 2))))))
(* (pow x 4) (+ 1/576 (* (pow x 2) (+ 1/2880 (* 127/2419200 (pow x 2))))))
(* 127/2419200 (pow x 8))
(* (pow x 8) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 127/2419200 (+ (/ 1/576 (pow x 4)) (* 1/2880 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 127/2419200 (+ (/ 1/576 (pow x 4)) (* 1/2880 (/ 1 (pow x 2))))))
(* 127/2419200 (pow x 8))
(* (pow x 8) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 127/2419200 (+ (/ 1/576 (pow x 4)) (* 1/2880 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 127/2419200 (+ (/ 1/576 (pow x 4)) (* 1/2880 (/ 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))))))))
(* 1/240 (pow x 5))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/240 (+ (* 1/24 (/ 1 (pow x 2))) (/ 84/17 (pow x 6)))))
(* (pow x 5) (+ 1/240 (+ (* 1/24 (/ 1 (pow x 2))) (+ (* 168/289 (/ 1 (pow x 8))) (/ 84/17 (pow x 6))))))
(* 1/240 (pow x 5))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 84/17 (/ 1 (pow x 4)))) (pow x 2))) 1/240)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 84/17 (* 168/289 (/ 1 (pow x 2)))) (pow x 6))) (+ 1/240 (* 1/24 (/ 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)))))))
(* 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))) (/ 84/17 (pow x 6)))))
(* (pow x 4) (+ 1/240 (+ (* 1/24 (/ 1 (pow x 2))) (+ (* 168/289 (/ 1 (pow x 8))) (/ 84/17 (pow x 6))))))
(* 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))) (/ 84/17 (pow x 6)))))
(* (pow x 4) (+ 1/240 (+ (* 1/24 (/ 1 (pow x 2))) (+ (* 168/289 (/ 1 (pow x 8))) (/ 84/17 (pow x 6))))))
1/4
(+ 1/4 (* -1/576 (pow x 4)))
(+ 1/4 (* (pow x 4) (- (* -1/2880 (pow x 2)) 1/576)))
(+ 1/4 (* (pow x 4) (- (* (pow x 2) (- (* -169/4838400 (pow x 2)) 1/2880)) 1/576)))
(* -17/9676800 (pow x 10))
(* -1 (* (pow x 10) (+ 17/9676800 (* 169/4838400 (/ 1 (pow x 2))))))
(* (pow x 10) (- (* -1 (/ (+ 169/4838400 (* 1/2880 (/ 1 (pow x 2)))) (pow x 2))) 17/9676800))
(* (pow x 10) (- (* -1 (/ (+ 1/2880 (* 1/576 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/9676800 (* 169/4838400 (/ 1 (pow x 2))))))
(* -17/9676800 (pow x 10))
(* -1 (* (pow x 10) (+ 17/9676800 (* 169/4838400 (/ 1 (pow x 2))))))
(* (pow x 10) (- (* -1 (/ (+ 169/4838400 (* 1/2880 (/ 1 (pow x 2)))) (pow x 2))) 17/9676800))
(* (pow x 10) (- (* -1 (/ (+ 1/2880 (* 1/576 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/9676800 (* 169/4838400 (/ 1 (pow x 2))))))
(* 1/576 (pow x 4))
(* (pow x 4) (+ 1/576 (* 1/2880 (pow x 2))))
(* (pow x 4) (+ 1/576 (* (pow x 2) (+ 1/2880 (* 169/4838400 (pow x 2))))))
(* (pow x 4) (+ 1/576 (* (pow x 2) (+ 1/2880 (* (pow x 2) (+ 169/4838400 (* 17/9676800 (pow x 2))))))))
(* 17/9676800 (pow x 10))
(* (pow x 10) (+ 17/9676800 (* 169/4838400 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 17/9676800 (+ (/ 1/2880 (pow x 4)) (* 169/4838400 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 17/9676800 (+ (/ 1/2880 (pow x 4)) (+ (* 169/4838400 (/ 1 (pow x 2))) (* 1/576 (/ 1 (pow x 6)))))))
(* 17/9676800 (pow x 10))
(* (pow x 10) (+ 17/9676800 (* 169/4838400 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 17/9676800 (+ (/ 1/2880 (pow x 4)) (* 169/4838400 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 17/9676800 (+ (/ 1/2880 (pow x 4)) (+ (* 169/4838400 (/ 1 (pow x 2))) (* 1/576 (/ 1 (pow x 6)))))))
(* 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 (* 43/60480 (pow x 2))))))))
(* -289/812851200 (pow x 13))
(* -1 (* (pow x 13) (+ 289/812851200 (* 17/2419200 (/ 1 (pow x 2))))))
(* (pow x 13) (- (* -1 (/ (+ 17/2419200 (* 127/1209600 (/ 1 (pow x 2)))) (pow x 2))) 289/812851200))
(* (pow x 13) (- (* -1 (/ (+ 127/1209600 (* 1/1440 (/ 1 (pow x 2)))) (pow x 4))) (+ 289/812851200 (* 17/2419200 (/ 1 (pow x 2))))))
(* -289/812851200 (pow x 13))
(* -1 (* (pow x 13) (+ 289/812851200 (* 17/2419200 (/ 1 (pow x 2))))))
(* -1 (* (pow x 13) (+ 289/812851200 (+ (/ 127/1209600 (pow x 4)) (* 17/2419200 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 13) (+ 289/812851200 (+ (/ 127/1209600 (pow x 4)) (+ (* 17/2419200 (/ 1 (pow x 2))) (* 1/1440 (/ 1 (pow x 6))))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 11/1440 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 11/1440 (* 17/12096 (pow x 2))))))))
(/ -10080/17 (pow x 5))
(/ (- (* 1693440/289 (/ 1 (pow x 2))) 10080/17) (pow x 5))
(/ (- (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4))) 10080/17) (pow x 5))
(/ (- (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4))) (+ 10080/17 (* 107662141440/83521 (/ 1 (pow x 6))))) (pow x 5))
(/ -10080/17 (pow x 5))
(* -1 (/ (- 10080/17 (* 1693440/289 (/ 1 (pow x 2)))) (pow x 5)))
(* -1 (/ (+ 10080/17 (* -1 (/ (+ 1693440/289 (* 3386880/4913 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5)))
(* -1 (/ (- (+ 10080/17 (* 107662141440/83521 (/ 1 (pow x 6)))) (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4)))) (pow x 5)))
(* 1/288 (pow x 5))
(* (pow x 5) (+ 1/288 (* 1/1440 (pow x 2))))
(* (pow x 5) (+ 1/288 (* (pow x 2) (+ 1/1440 (* 127/1209600 (pow x 2))))))
(* (pow x 5) (+ 1/288 (* (pow x 2) (+ 1/1440 (* (pow x 2) (+ 127/1209600 (* 17/2419200 (pow x 2))))))))
(* 289/812851200 (pow x 13))
(* (pow x 13) (+ 289/812851200 (* 17/2419200 (/ 1 (pow x 2)))))
(* (pow x 13) (+ 289/812851200 (+ (/ 127/1209600 (pow x 4)) (* 17/2419200 (/ 1 (pow x 2))))))
(* (pow x 13) (+ 289/812851200 (+ (/ 127/1209600 (pow x 4)) (+ (* 17/2419200 (/ 1 (pow x 2))) (* 1/1440 (/ 1 (pow x 6)))))))
(* 289/812851200 (pow x 13))
(* (pow x 13) (+ 289/812851200 (* 17/2419200 (/ 1 (pow x 2)))))
(* -1 (* (pow x 13) (- (* -1 (/ (+ 17/2419200 (* 127/1209600 (/ 1 (pow x 2)))) (pow x 2))) 289/812851200)))
(* -1 (* (pow x 13) (- (* -1 (/ (+ 127/1209600 (* 1/1440 (/ 1 (pow x 2)))) (pow x 4))) (+ 289/812851200 (* 17/2419200 (/ 1 (pow x 2)))))))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 17/40320 x)
(* 17/40320 x)
(* 17/40320 x)
(* 17/40320 x)
(* 17/40320 x)
(* 17/40320 x)
(* 17/40320 x)
(* 17/40320 x)
(* 17/40320 x)
(* 17/40320 x)
(* 17/40320 x)
(* 17/40320 x)
(* 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))
(* 1/24 (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))))))
(* 127/2419200 (pow x 2))
(* 127/2419200 (pow x 2))
(* 127/2419200 (pow x 2))
(* 127/2419200 (pow x 2))
(* 127/2419200 (pow x 2))
(* 127/2419200 (pow x 2))
(* 127/2419200 (pow x 2))
(* 127/2419200 (pow x 2))
(* 127/2419200 (pow x 2))
(* 127/2419200 (pow x 2))
(* 127/2419200 (pow x 2))
(* 127/2419200 (pow x 2))
(* 1/24 x)
(* x (+ 1/24 (* 1/240 (pow x 2))))
(* x (+ 1/24 (* 1/240 (pow x 2))))
(* x (+ 1/24 (* 1/240 (pow x 2))))
(* 1/240 (pow x 3))
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* 1/240 (pow x 3))
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (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 (* (pow x 2) (+ 1/24 (* 11/1440 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 11/1440 binary64))))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 11/1440 (* 17/12096 (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 11/1440 binary64) (.f64 (*.f64 x x) #s(literal 17/12096 binary64))))))))
(/ -10080/17 (pow x 5))
(/.f64 #s(literal -10080/17 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* 1693440/289 (/ 1 (pow x 2))) 10080/17) (pow x 5))
(/.f64 (+.f64 #s(literal -10080/17 binary64) (/.f64 #s(literal 1693440/289 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4))) 10080/17) (pow x 5))
(/.f64 (+.f64 #s(literal -10080/17 binary64) (+.f64 (/.f64 #s(literal 1693440/289 binary64) (.f64 x x)) (/.f64 #s(literal 3386880/4913 binary64) (.f64 (.f64 x x) (.f64 x x))))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4))) (+ 10080/17 (* 107662141440/83521 (/ 1 (pow x 6))))) (pow x 5))
(/.f64 (+.f64 (/.f64 #s(literal 3386880/4913 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (+.f64 #s(literal -10080/17 binary64) (/.f64 #s(literal 1693440/289 binary64) (.f64 x x))) (/.f64 #s(literal -107662141440/83521 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 5 binary64)))
(/ -10080/17 (pow x 5))
(/.f64 #s(literal -10080/17 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (/ (- 10080/17 (* 1693440/289 (/ 1 (pow x 2)))) (pow x 5)))
(/.f64 (-.f64 #s(literal 10080/17 binary64) (/.f64 #s(literal 1693440/289 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))))
(* -1 (/ (+ 10080/17 (* -1 (/ (+ 1693440/289 (* 3386880/4913 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5)))
(/.f64 (-.f64 #s(literal 10080/17 binary64) (/.f64 (+.f64 #s(literal 1693440/289 binary64) (/.f64 #s(literal 3386880/4913 binary64) (.f64 x x))) (.f64 x x))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))))
(* -1 (/ (- (+ 10080/17 (* 107662141440/83521 (/ 1 (pow x 6)))) (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4)))) (pow x 5)))
(/.f64 (+.f64 #s(literal 10080/17 binary64) (+.f64 (+.f64 (/.f64 #s(literal 107662141440/83521 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1693440/289 binary64) (.f64 x x))) (/.f64 #s(literal -3386880/4913 binary64) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 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 (* (pow x 2) (+ 1/24 (* 11/1440 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 11/1440 binary64)))))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 11/1440 (* 17/12096 (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 11/1440 binary64) (.f64 (.f64 x x) #s(literal 17/12096 binary64)))))))
(/ -10080/17 (pow x 6))
(/.f64 #s(literal -10080/17 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* 1693440/289 (/ 1 (pow x 2))) 10080/17) (pow x 6))
(/.f64 (+.f64 #s(literal -10080/17 binary64) (/.f64 #s(literal 1693440/289 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4))) 10080/17) (pow x 6))
(/.f64 (+.f64 #s(literal -10080/17 binary64) (+.f64 (/.f64 #s(literal 1693440/289 binary64) (.f64 x x)) (/.f64 #s(literal 3386880/4913 binary64) (.f64 (.f64 x x) (.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4))) (+ 10080/17 (* 107662141440/83521 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 3386880/4913 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (+.f64 #s(literal -10080/17 binary64) (/.f64 #s(literal 1693440/289 binary64) (.f64 x x))) (/.f64 #s(literal -107662141440/83521 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(/ -10080/17 (pow x 6))
(/.f64 #s(literal -10080/17 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* 1693440/289 (/ 1 (pow x 2))) 10080/17) (pow x 6))
(/.f64 (+.f64 #s(literal -10080/17 binary64) (/.f64 #s(literal 1693440/289 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4))) 10080/17) (pow x 6))
(/.f64 (+.f64 #s(literal -10080/17 binary64) (+.f64 (/.f64 #s(literal 1693440/289 binary64) (.f64 x x)) (/.f64 #s(literal 3386880/4913 binary64) (.f64 (.f64 x x) (.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ (* 1693440/289 (/ 1 (pow x 2))) (/ 3386880/4913 (pow x 4))) (+ 10080/17 (* 107662141440/83521 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 3386880/4913 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (+.f64 #s(literal -10080/17 binary64) (/.f64 #s(literal 1693440/289 binary64) (.f64 x x))) (/.f64 #s(literal -107662141440/83521 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* 1/6 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(+ 2 (* (pow x 2) (+ 1/6 (* 11/360 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 11/360 binary64)))))
(+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 11/360 (* 17/3024 (pow x 2)))))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 11/360 binary64) (.f64 (.f64 x x) #s(literal 17/3024 binary64))))))))
(/ -40320/17 (pow x 6))
(/.f64 #s(literal -40320/17 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* 6773760/289 (/ 1 (pow x 2))) 40320/17) (pow x 6))
(/.f64 (+.f64 #s(literal -40320/17 binary64) (/.f64 #s(literal 6773760/289 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ (* 6773760/289 (/ 1 (pow x 2))) (/ 13547520/4913 (pow x 4))) 40320/17) (pow x 6))
(/.f64 (+.f64 #s(literal -40320/17 binary64) (+.f64 (/.f64 #s(literal 6773760/289 binary64) (.f64 x x)) (/.f64 #s(literal 13547520/4913 binary64) (.f64 (.f64 x x) (.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ (* 6773760/289 (/ 1 (pow x 2))) (/ 13547520/4913 (pow x 4))) (+ 40320/17 (* 430648565760/83521 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 13547520/4913 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 #s(literal 6773760/289 binary64) (.f64 x x)) (+.f64 #s(literal -40320/17 binary64) (/.f64 #s(literal -430648565760/83521 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 6 binary64)))
(/ -40320/17 (pow x 6))
(/.f64 #s(literal -40320/17 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* 6773760/289 (/ 1 (pow x 2))) 40320/17) (pow x 6))
(/.f64 (+.f64 #s(literal -40320/17 binary64) (/.f64 #s(literal 6773760/289 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ (* 6773760/289 (/ 1 (pow x 2))) (/ 13547520/4913 (pow x 4))) 40320/17) (pow x 6))
(/.f64 (+.f64 #s(literal -40320/17 binary64) (+.f64 (/.f64 #s(literal 6773760/289 binary64) (.f64 x x)) (/.f64 #s(literal 13547520/4913 binary64) (.f64 (.f64 x x) (.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ (* 6773760/289 (/ 1 (pow x 2))) (/ 13547520/4913 (pow x 4))) (+ 40320/17 (* 430648565760/83521 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 13547520/4913 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 #s(literal 6773760/289 binary64) (.f64 x x)) (+.f64 #s(literal -40320/17 binary64) (/.f64 #s(literal -430648565760/83521 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 6 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 (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)))
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(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/288 binary64))
(* (pow x 5) (+ 1/288 (* 1/1440 (pow x 2))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/288 binary64) (.f64 x (*.f64 x #s(literal 1/1440 binary64)))))
(* (pow x 5) (+ 1/288 (* (pow x 2) (+ 1/1440 (* 127/1209600 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/288 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/1440 binary64) (.f64 (*.f64 x x) #s(literal 127/1209600 binary64))))))
(* (pow x 5) (+ 1/288 (* (pow x 2) (+ 1/1440 (* (pow x 2) (+ 127/1209600 (* 17/2419200 (pow x 2))))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/288 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/1440 binary64) (.f64 x (.f64 x (+.f64 #s(literal 127/1209600 binary64) (.f64 (*.f64 x x) #s(literal 17/2419200 binary64)))))))))
(* 289/812851200 (pow x 13))
(*.f64 (pow.f64 x #s(literal 13 binary64)) #s(literal 289/812851200 binary64))
(* (pow x 13) (+ 289/812851200 (* 17/2419200 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 #s(literal 289/812851200 binary64) (/.f64 #s(literal 17/2419200 binary64) (.f64 x x))))
(* (pow x 13) (+ 289/812851200 (+ (/ 127/1209600 (pow x 4)) (* 17/2419200 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 #s(literal 289/812851200 binary64) (+.f64 (/.f64 #s(literal 17/2419200 binary64) (.f64 x x)) (/.f64 #s(literal 127/1209600 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* (pow x 13) (+ 289/812851200 (+ (/ 127/1209600 (pow x 4)) (+ (* 17/2419200 (/ 1 (pow x 2))) (* 1/1440 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 17/2419200 binary64) (.f64 x x)) (/.f64 #s(literal 127/1209600 binary64) (.f64 (.f64 x x) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/1440 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 289/812851200 binary64))))
(* 289/812851200 (pow x 13))
(*.f64 (pow.f64 x #s(literal 13 binary64)) #s(literal 289/812851200 binary64))
(* (pow x 13) (+ 289/812851200 (* 17/2419200 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 #s(literal 289/812851200 binary64) (/.f64 #s(literal 17/2419200 binary64) (.f64 x x))))
(* -1 (* (pow x 13) (- (* -1 (/ (+ 17/2419200 (* 127/1209600 (/ 1 (pow x 2)))) (pow x 2))) 289/812851200)))
(.f64 (-.f64 #s(literal -289/812851200 binary64) (/.f64 (+.f64 #s(literal 17/2419200 binary64) (/.f64 #s(literal 127/1209600 binary64) (.f64 x x))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 13 binary64))))
(* -1 (* (pow x 13) (- (* -1 (/ (+ 127/1209600 (* 1/1440 (/ 1 (pow x 2)))) (pow x 4))) (+ 289/812851200 (* 17/2419200 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 127/1209600 binary64) (/.f64 #s(literal 1/1440 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 289/812851200 binary64) (/.f64 #s(literal 17/2419200 binary64) (.f64 x x)))))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 17/40320 x)
(*.f64 x #s(literal 17/40320 binary64))
(* 17/40320 x)
(*.f64 x #s(literal 17/40320 binary64))
(* 17/40320 x)
(*.f64 x #s(literal 17/40320 binary64))
(* 17/40320 x)
(*.f64 x #s(literal 17/40320 binary64))
(* 17/40320 x)
(*.f64 x #s(literal 17/40320 binary64))
(* 17/40320 x)
(*.f64 x #s(literal 17/40320 binary64))
(* 17/40320 x)
(*.f64 x #s(literal 17/40320 binary64))
(* 17/40320 x)
(*.f64 x #s(literal 17/40320 binary64))
(* 17/40320 x)
(*.f64 x #s(literal 17/40320 binary64))
(* 17/40320 x)
(*.f64 x #s(literal 17/40320 binary64))
(* 17/40320 x)
(*.f64 x #s(literal 17/40320 binary64))
(* 17/40320 x)
(*.f64 x #s(literal 17/40320 binary64))
(* 17/40320 (pow x 2))
(.f64 x (.f64 x #s(literal 17/40320 binary64)))
(* 17/40320 (pow x 2))
(.f64 x (.f64 x #s(literal 17/40320 binary64)))
(* 17/40320 (pow x 2))
(.f64 x (.f64 x #s(literal 17/40320 binary64)))
(* 17/40320 (pow x 2))
(.f64 x (.f64 x #s(literal 17/40320 binary64)))
(* 17/40320 (pow x 2))
(.f64 x (.f64 x #s(literal 17/40320 binary64)))
(* 17/40320 (pow x 2))
(.f64 x (.f64 x #s(literal 17/40320 binary64)))
(* 17/40320 (pow x 2))
(.f64 x (.f64 x #s(literal 17/40320 binary64)))
(* 17/40320 (pow x 2))
(.f64 x (.f64 x #s(literal 17/40320 binary64)))
(* 17/40320 (pow x 2))
(.f64 x (.f64 x #s(literal 17/40320 binary64)))
(* 17/40320 (pow x 2))
(.f64 x (.f64 x #s(literal 17/40320 binary64)))
(* 17/40320 (pow x 2))
(.f64 x (.f64 x #s(literal 17/40320 binary64)))
(* 17/40320 (pow x 2))
(.f64 x (.f64 x #s(literal 17/40320 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 x (.f64 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 x (.f64 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 x (.f64 x #s(literal 17/40320 binary64)))))))
(* 17/40320 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/40320 binary64))
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/240 binary64) (.f64 x x))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/240 binary64) (.f64 x x))) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/240 binary64) (.f64 x x))) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* 17/40320 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/40320 binary64))
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/240 binary64) (.f64 x x))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/240 binary64) (.f64 x x))) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/240 binary64) (.f64 x x))) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* 127/2419200 (pow x 2))
(.f64 (.f64 x x) #s(literal 127/2419200 binary64))
(* 127/2419200 (pow x 2))
(.f64 (.f64 x x) #s(literal 127/2419200 binary64))
(* 127/2419200 (pow x 2))
(.f64 (.f64 x x) #s(literal 127/2419200 binary64))
(* 127/2419200 (pow x 2))
(.f64 (.f64 x x) #s(literal 127/2419200 binary64))
(* 127/2419200 (pow x 2))
(.f64 (.f64 x x) #s(literal 127/2419200 binary64))
(* 127/2419200 (pow x 2))
(.f64 (.f64 x x) #s(literal 127/2419200 binary64))
(* 127/2419200 (pow x 2))
(.f64 (.f64 x x) #s(literal 127/2419200 binary64))
(* 127/2419200 (pow x 2))
(.f64 (.f64 x x) #s(literal 127/2419200 binary64))
(* 127/2419200 (pow x 2))
(.f64 (.f64 x x) #s(literal 127/2419200 binary64))
(* 127/2419200 (pow x 2))
(.f64 (.f64 x x) #s(literal 127/2419200 binary64))
(* 127/2419200 (pow x 2))
(.f64 (.f64 x x) #s(literal 127/2419200 binary64))
(* 127/2419200 (pow x 2))
(.f64 (.f64 x x) #s(literal 127/2419200 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/240 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/240 binary64)))))
(* x (+ 1/24 (* 1/240 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/240 binary64)))))
(* x (+ 1/24 (* 1/240 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/240 binary64)))))
(* 1/240 (pow x 3))
(.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(* 1/240 (pow x 3))
(.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x)))))

eval209.0ms (2.5%)

Compiler: Compiled 80883 to 3105 computations (96.2% saved)

prune213.0ms (2.5%)

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	1302	14	1316
Fresh	0	0	0
Picked	5	0	5
Done	0	8	8
Total	1307	22	1329

Accuracy

100.0%

Counts

1329 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.4%	(/.f64 (+.f64 #s(literal 70/17 binary64) (/.f64 #s(literal -11760/289 binary64) (*.f64 x x))) x)
	51.6%	(/.f64 (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))))
	3.9%	(/.f64 #s(literal 70/17 binary64) x)
✓	52.0%	(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/240 binary64)))))) (.f64 #s(literal 1/2 binary64) x))
✓	51.9%	(+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 #s(literal 1/2 binary64) x))
	51.5%	(.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/576 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2880 binary64) (.f64 (.f64 x x) #s(literal 127/2419200 binary64)))))))))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))))) x)
	51.4%	(.f64 x (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/331776 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)))))))
	3.9%	(.f64 x (/.f64 #s(literal 70/17 binary64) (.f64 x x)))
✓	52.0%	(.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/240 binary64)))))))
✓	52.1%	(.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))))))))
✓	52.0%	(.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))))))
✓	51.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
	51.4%	(.f64 x (.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/331776 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))))) (/.f64 #s(literal 1 binary64) (-.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 x (.f64 x #s(literal 17/40320 binary64)))))))))))
	51.6%	(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/576 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2880 binary64) (.f64 (.f64 x x) #s(literal 169/4838400 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.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 x (.f64 x #s(literal 17/40320 binary64)))))))))))
	51.6%	(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))) (.f64 x (.f64 x (.f64 x x))))))))
	51.7%	(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/240 binary64)))))))))
	51.7%	(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64))) #s(literal 2 binary64)))
	51.5%	(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))))) (/.f64 #s(literal 1 binary64) (-.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 x (*.f64 x #s(literal 17/40320 binary64)))))))))))
	3.3%	(.f64 x (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (-.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 x (.f64 x #s(literal 17/40320 binary64)))))))))))
	52.7%	(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))))
✓	52.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Compiler

Compiled 1469 to 504 computations (65.7% saved)

regimes24.0ms (0.3%)

Counts

30 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 70/17 binary64) x)
(.f64 x (/.f64 #s(literal 70/17 binary64) (.f64 x x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 70/17 binary64) (/.f64 #s(literal -11760/289 binary64) (*.f64 x x))) x)
(+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 #s(literal 1/2 binary64) x))
(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))))
(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64))) #s(literal 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 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/240 binary64)))))) (.f64 #s(literal 1/2 binary64) x))
(.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 x (.f64 x (.f64 x (*.f64 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 x (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (-.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 x (.f64 x #s(literal 17/40320 binary64)))))))))))
(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/240 binary64)))))))))
(.f64 x (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (-.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 x (.f64 x #s(literal 17/40320 binary64)))))))))))
(/.f64 (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))))
(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (-.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 x (.f64 x #s(literal 17/40320 binary64)))))))))))
(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))) (.f64 x (.f64 x (.f64 x x))))))))
(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))))) (/.f64 #s(literal 1 binary64) (-.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 x (*.f64 x #s(literal 17/40320 binary64)))))))))))
(.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/576 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2880 binary64) (.f64 (.f64 x x) #s(literal 127/2419200 binary64)))))))))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))))) x)
(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2880 binary64) (.f64 (.f64 x x) #s(literal 127/2419200 binary64))))))) (/.f64 #s(literal 1 binary64) (-.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 x (.f64 x #s(literal 17/40320 binary64)))))))))))
(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/576 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2880 binary64) (.f64 (.f64 x x) #s(literal 169/4838400 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.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 x (.f64 x #s(literal 17/40320 binary64)))))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/331776 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)))))))
(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))))) (/.f64 #s(literal 1 binary64) (-.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 x (*.f64 x #s(literal 17/40320 binary64)))))))))))
(.f64 x (.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/331776 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))))) (/.f64 #s(literal 1 binary64) (-.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 x (.f64 x #s(literal 17/40320 binary64)))))))))))
(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.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 x (*.f64 x #s(literal 17/40320 binary64)))))))))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x)))) (*.f64 #s(literal 1/2 binary64) x)))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x)))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x))))))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

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

Calls

2 calls:

10.0ms	x
8.0ms	(/.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)

regimes10.0ms (0.1%)

Counts

28 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 70/17 binary64) x)
(.f64 x (/.f64 #s(literal 70/17 binary64) (.f64 x x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 70/17 binary64) (/.f64 #s(literal -11760/289 binary64) (*.f64 x x))) x)
(+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 #s(literal 1/2 binary64) x))
(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))))
(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64))) #s(literal 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 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/240 binary64)))))) (.f64 #s(literal 1/2 binary64) x))
(.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 x (.f64 x (.f64 x (*.f64 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 x (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (-.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 x (.f64 x #s(literal 17/40320 binary64)))))))))))
(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/240 binary64)))))))))
(.f64 x (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (-.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 x (.f64 x #s(literal 17/40320 binary64)))))))))))
(/.f64 (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))))
(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (-.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 x (.f64 x #s(literal 17/40320 binary64)))))))))))
(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))) (.f64 x (.f64 x (.f64 x x))))))))
(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))))) (/.f64 #s(literal 1 binary64) (-.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 x (*.f64 x #s(literal 17/40320 binary64)))))))))))
(.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/576 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2880 binary64) (.f64 (.f64 x x) #s(literal 127/2419200 binary64)))))))))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))))) x)
(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2880 binary64) (.f64 (.f64 x x) #s(literal 127/2419200 binary64))))))) (/.f64 #s(literal 1 binary64) (-.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 x (.f64 x #s(literal 17/40320 binary64)))))))))))
(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/576 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2880 binary64) (.f64 (.f64 x x) #s(literal 169/4838400 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.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 x (.f64 x #s(literal 17/40320 binary64)))))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/331776 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)))))))
(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))))) (/.f64 #s(literal 1 binary64) (-.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 x (*.f64 x #s(literal 17/40320 binary64)))))))))))
(.f64 x (.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/331776 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))))) (/.f64 #s(literal 1 binary64) (-.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 x (.f64 x #s(literal 17/40320 binary64)))))))))))
(.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.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 x (*.f64 x #s(literal 17/40320 binary64)))))))))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x)))) (*.f64 #s(literal 1/2 binary64) x)))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x)))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 x (.f64 x #s(literal 17/40320 binary64)))))) (.f64 x (.f64 x x))))))

Outputs
(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
52.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Accuracy

Total -32.2b remaining (-104.9%)

Threshold costs -32.2b (-104.9%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 70/17 binary64) x)
(.f64 x (/.f64 #s(literal 70/17 binary64) (.f64 x x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 70/17 binary64) (/.f64 #s(literal -11760/289 binary64) (*.f64 x x))) x)
(+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 #s(literal 1/2 binary64) x))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
52.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
10×	`+-commutative_binary64`
10×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	20
1	28	20
2	39	20
3	50	20
4	56	20
5	59	20
6	60	20

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))

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

Outputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))

soundness1.0s (12.5%)

Rules

4962×	`+-lowering-+.f64`
4962×	`+-lowering-+.f32`
4498×	`-lowering-.f32`
4498×	`-lowering-.f64`
4102×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	151
1	155	134
2	1442	134
0	8142	134
0	251	2792
1	817	2660
2	2592	2632
3	6759	2632
0	8014	2632
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
0	425	3313
1	1331	3153
2	4256	3104
0	8123	3104
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×	fuel
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 103 to 73 computations (29.1% saved)

preprocess48.0ms (0.6%)

Remove: (negabs x)
Compiler: Compiled 98 to 74 computations (24.5% saved)

analyze143.0ms (1.7%)

sample2.0s (23.7%)

preprocess84.0ms (1%)

explain173.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize34.0ms (0.4%)

series3.0ms (0%)

rewrite202.0ms (2.4%)

simplify58.0ms (0.7%)

eval48.0ms (0.6%)

prune44.0ms (0.5%)

simplify56.0ms (0.7%)

localize146.0ms (1.7%)

series10.0ms (0.1%)

rewrite544.0ms (6.5%)

simplify204.0ms (2.4%)

eval116.0ms (1.4%)

prune55.0ms (0.7%)

simplify232.0ms (2.8%)

localize247.0ms (2.9%)

series39.0ms (0.5%)

rewrite362.0ms (4.3%)

simplify295.0ms (3.5%)

eval228.0ms (2.7%)

prune145.0ms (1.7%)

simplify214.0ms (2.6%)

localize386.0ms (4.6%)

series40.0ms (0.5%)

rewrite389.0ms (4.6%)

simplify335.0ms (4%)

eval209.0ms (2.5%)

prune213.0ms (2.5%)

regimes24.0ms (0.3%)

regimes10.0ms (0.1%)

regimes4.0ms (0%)

simplify8.0ms (0.1%)

soundness1.0s (12.5%)

preprocess48.0ms (0.6%)

end0.0ms (0%)

Profiling