Metrics for tanhf (example 3.4)

analyze168.0ms (2.1%)

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: 61.0ms

ival-cos: 23.0ms (37.9% of total)

ival-sub: 15.0ms (24.7% of total)

ival-sin: 12.0ms (19.8% of total)

ival-div: 7.0ms (11.5% of total)

const: 2.0ms (3.3% of total)

backward-pass: 1.0ms (1.6% of total)

sample2.1s (26.5%)

Results

950.0ms	1986×	2	valid
531.0ms	4218×	0	valid
346.0ms	2047×	1	valid
4.0ms	5×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-cos: 811.0ms (55.4% of total)

ival-sin: 241.0ms (16.5% of total)

ival-sub: 168.0ms (11.5% of total)

backward-pass: 118.0ms (8.1% of total)

ival-div: 109.0ms (7.4% of total)

const: 17.0ms (1.2% of total)

Bogosity

preprocess86.0ms (1.1%)

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	42	13
2	89	12
3	195	12
4	505	12
5	1166	12
6	2162	12
0	6	4
1	18	4
2	28	4
3	40	4
4	64	4
5	95	4
6	157	4
7	270	4
8	639	4
9	1217	4
10	1698	4
11	1722	4
12	1730	4
13	1736	4
14	1744	4
15	1757	4
16	1765	4
17	1774	4
18	1775	4
0	1775	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))
(fast-tan (* x 1/2))
(/ (- 1 (cos (neg x))) (sin (neg x)))
(fast-tan (* x -1/2))
(neg (/ (- 1 (cos (neg x))) (sin (neg x))))
(fast-tan (* x 1/2))

Symmetry

(negabs x)

explain186.0ms (2.3%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
71	0	-	3	(9.054609904804236e-162)	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`
67	1	(9.054609904804236e-162)	0	-	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
0	0	-	0	-	`x`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(cos.f64 x)`

Results

83.0ms	138×	2	valid
42.0ms	252×	0	valid
32.0ms	122×	1	valid

Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-cos: 63.0ms (60.6% of total)

ival-sin: 17.0ms (16.3% of total)

backward-pass: 9.0ms (8.7% of total)

ival-div: 6.0ms (5.8% of total)

ival-sub: 6.0ms (5.8% of total)

const: 1.0ms (1% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 4 computations (20% saved)

simplify4.0ms (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`
2×	`fast-tan-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	9
1	5	9
0	5	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)

localize81.0ms (1%)

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

74.0ms

256×

valid

Compiler

Compiled 11 to 5 computations (54.5% saved)

Precisions

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

ival-tan: 61.0ms (96.2% of total)

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

const: 0.0ms (0% of total)

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

series3.0ms (0%)

Counts

2 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite321.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

2784×	`-lowering-.f32`
2784×	`-lowering-.f64`
2350×	`/-lowering-/.f32`
2350×	`/-lowering-/.f64`
1556×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	18	7
2	54	7
3	200	7
4	933	7
0	8267	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)))))) (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)))))) (-.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 (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 (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 #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 (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 (.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 (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 #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 (.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 #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 (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 (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 (-.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 #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 (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 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x (.f64 x x)))) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x)
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)
(/.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 -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(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)) (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)) (-.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 -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 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)) (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)) (-.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 (-.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 #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)) (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)) (-.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)))) (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 x))) (/.f64 #s(literal 1 binary64) x))
(.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 (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 (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 (.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 #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 -1/2 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 (.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) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))) (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 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)
(.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 #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))))

simplify93.0ms (1.2%)

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	75	144
2	234	144
3	656	144
4	1238	144
5	1662	144
6	1820	144
7	1821	144
0	1821	144

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 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64)))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.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 896 computations (80.4% saved)

prune41.0ms (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
▶	52.5%	(.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))))))))
▶	52.4%	(.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)))))))
▶	52.4%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
▶	52.6%	(*.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Compiler

Compiled 57 to 38 computations (33.3% saved)

simplify63.0ms (0.8%)

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 (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64))))
✓	cost-diff	(.f64 x (.f64 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 x (.f64 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 x (.f64 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	23	170
1	82	149
2	259	149
3	651	149
4	1307	149
5	1788	149
6	1953	149
7	1954	149
0	1954	149

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

localize155.0ms (2%)

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	99.9%	(.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	99.8%	(.f64 (.f64 x x) #s(literal 17/40320 binary64))
✓	accuracy	99.9%	(.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)))))))
✓	accuracy	99.8%	(.f64 x (.f64 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	99.7%	(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.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

120.0ms

256×

valid

Compiler

Compiled 202 to 24 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 46.0ms (71% of total)

...c/correct-round.rkt:119:19: 11.0ms (17% of total)

ival-add: 7.0ms (10.8% of total)

const: 0.0ms (0% of total)

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

series19.0ms (0.2%)

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 (+ 1/24 (* (* 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 (* (* 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 (* 1/24 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 (* (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 (* 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
8.0ms	x	@	inf	(* x (* x (+ 1/24 (* (* x x) 1/240))))
1.0ms	x	@	0	(* (* 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 (* (* x x) 17/40320)))))))

rewrite364.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4158×	`-lowering-.f32`
4158×	`-lowering-.f64`
2952×	`/-lowering-/.f32`
2952×	`/-lowering-/.f64`
2202×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	129
1	157	112
2	1412	112
0	8406	112

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 331

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 (+ 1/24 (* (* 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)
(* (* 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 (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x)))) (.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 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 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 x (*.f64 x #s(literal 1/24 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 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 x (*.f64 x #s(literal 1/24 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x)))) (.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 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 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 x (*.f64 x #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 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 x (*.f64 x #s(literal 1/24 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x)))) (.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 x (.f64 x #s(literal 1/24 binary64))))) (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))
(-.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 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 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 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 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 x (.f64 x #s(literal 1/24 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 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 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 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 x (.f64 x #s(literal 1/24 binary64))))))
(/.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 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (-.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 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 x (*.f64 x x))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (-.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 x (.f64 x #s(literal 1/24 binary64))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 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 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 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 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 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 x (*.f64 x #s(literal 1/24 binary64))))))
(/.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 x (*.f64 x #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 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 x (.f64 x #s(literal 1/24 binary64)))))))
(/.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))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (+.f64 (.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))) (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))) (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 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 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 x (*.f64 x x)))))) #s(literal -1 binary64))
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(.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 x))
(.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))))))) x)
(.f64 x (.f64 x #s(literal 1/240 binary64)))
(.f64 (.f64 x x) #s(literal 1/240 binary64))
(.f64 #s(literal 1/240 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/240 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 x x) #s(literal 1/240 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 17/40320 binary64)))))
(+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 17/40320 binary64)))) (.f64 (.f64 x x) #s(literal 1/240 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 1/57600 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (.f64 x x) #s(literal 1/240 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 17/40320 binary64)))))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 17/40320 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 17/40320 binary64))))) (-.f64 (.f64 (.f64 x x) #s(literal 1/240 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))
(fma.f64 x (.f64 x #s(literal 1/240 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))
(fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 17/40320 binary64))) (.f64 (*.f64 x x) #s(literal 1/240 binary64)))
(fma.f64 x (.f64 (.f64 x #s(literal 17/40320 binary64)) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/240 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/240 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 17/40320 binary64)) (.f64 (*.f64 x x) #s(literal 1/240 binary64)))
(fma.f64 #s(literal 1/240 binary64) (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))
(fma.f64 #s(literal 17/40320 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/240 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 17/40320 binary64)) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/240 binary64)))
(fma.f64 (.f64 x #s(literal 1/240 binary64)) x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 17/40320 binary64)) (.f64 (*.f64 x x) #s(literal 1/240 binary64)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 17/40320 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64)))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 17/40320 binary64)) x) x (.f64 (*.f64 x 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 x (.f64 x (.f64 (.f64 x x) #s(literal 17/40320 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 17/40320 binary64))))) (.f64 (.f64 (.f64 x x) #s(literal 1/240 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 17/40320 binary64))))))))
(/.f64 (-.f64 (.f64 #s(literal 1/57600 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 17/40320 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 17/40320 binary64)))))) (-.f64 (.f64 (.f64 x x) #s(literal 1/240 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x 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 (.f64 x x) #s(literal 17/40320 binary64)) (-.f64 (.f64 (*.f64 x 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 (.f64 x x) #s(literal 17/40320 binary64))))
(/.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 (.f64 x x) #s(literal 17/40320 binary64)) (-.f64 (.f64 (*.f64 x 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 (.f64 x x) #s(literal 17/40320 binary64))))
(/.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 x (.f64 x (.f64 (.f64 x x) #s(literal 17/40320 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 17/40320 binary64))))) (.f64 (.f64 (.f64 x x) #s(literal 1/240 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 17/40320 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/57600 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 17/40320 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 17/40320 binary64))))))) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/240 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x 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 (.f64 x x) #s(literal 17/40320 binary64)) (-.f64 (.f64 (*.f64 x 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 (.f64 x x) #s(literal 17/40320 binary64)))))
(/.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 (.f64 x x) #s(literal 17/40320 binary64)) (-.f64 (.f64 (*.f64 x 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 (.f64 x x) #s(literal 17/40320 binary64)))))
(/.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 x (.f64 x (.f64 (.f64 x x) #s(literal 17/40320 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 17/40320 binary64))))) (-.f64 (.f64 #s(literal 1/57600 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 17/40320 binary64)))) (.f64 (.f64 x x) #s(literal 1/240 binary64))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64))))
(.f64 (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64)))) x)

simplify219.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

2750×	`-lowering-.f32`
2750×	`-lowering-.f64`
1696×	`fnmadd-define`
1416×	`fma-lowering-fma.f32`
1416×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	1472
1	313	1213
2	956	1208
3	2757	1172
4	6005	1172
0	8414	1172

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)))))
(* 1/24 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 (* (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))
(* 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 #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))))
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(* 1/24 (pow x 3))
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(* 1/240 (pow x 2))
(.f64 x (.f64 x #s(literal 1/240 binary64)))
(* 1/240 (pow x 2))
(.f64 x (.f64 x #s(literal 1/240 binary64)))
(* 1/240 (pow x 2))
(.f64 x (.f64 x #s(literal 1/240 binary64)))
(* 1/240 (pow x 2))
(.f64 x (.f64 x #s(literal 1/240 binary64)))
(* 1/240 (pow x 2))
(.f64 x (.f64 x #s(literal 1/240 binary64)))
(* 1/240 (pow x 2))
(.f64 x (.f64 x #s(literal 1/240 binary64)))
(* 1/240 (pow x 2))
(.f64 x (.f64 x #s(literal 1/240 binary64)))
(* 1/240 (pow x 2))
(.f64 x (.f64 x #s(literal 1/240 binary64)))
(* 1/240 (pow x 2))
(.f64 x (.f64 x #s(literal 1/240 binary64)))
(* 17/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/40320 binary64))
(* 17/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/40320 binary64))
(* 17/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/40320 binary64))
(* 17/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/40320 binary64))
(* 17/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/40320 binary64))
(* 17/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/40320 binary64))
(* 17/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/40320 binary64))
(* 17/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/40320 binary64))
(* 17/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/40320 binary64))
(* 17/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/40320 binary64))
(* 17/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/40320 binary64))
(* 17/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/40320 binary64))
(* 1/240 (pow x 2))
(.f64 x (.f64 x #s(literal 1/240 binary64)))
(* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64))))
(* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64))))
(* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64))))
(* 17/40320 (pow x 4))
(.f64 x (.f64 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))))
(* 17/40320 (pow x 4))
(.f64 x (.f64 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))))

eval74.0ms (0.9%)

Compiler: Compiled 18763 to 1488 computations (92.1% saved)

prune72.0ms (0.9%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	581	2	583
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	581	7	588

Accuracy

100.0%

Counts

588 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.6%	(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x (.f64 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 x (.f64 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 #s(literal 1/2 binary64) x) (.f64 x (.f64 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)))))))))))
▶	52.4%	(+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 #s(literal 1/2 binary64) x))
✓	52.5%	(.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))))))))
✓	52.4%	(.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)))))))
✓	52.4%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
✓	52.6%	(*.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Compiler

Compiled 141 to 66 computations (53.2% saved)

simplify226.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 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))))))))))
✓	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 x (.f64 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 x (.f64 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)))))))))))
✓	cost-diff	2688	(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x (.f64 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 x (.f64 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 #s(literal 1/2 binary64) x) (.f64 x (.f64 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)))))))))))
✓	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))

Rules

3246×	`-lowering-.f32`
3246×	`-lowering-.f64`
1736×	`fma-lowering-fma.f32`
1736×	`fma-lowering-fma.f64`
1262×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	223
1	90	197
2	335	174
3	1688	170
4	5419	170
0	8070	170

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize150.0ms (1.9%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 17/40320 binary64))
✓	accuracy	99.7%	(.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)))))))
✓	accuracy	78.5%	(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x (.f64 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 x (.f64 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)))))))))))
✓	accuracy	37.9%	(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x (.f64 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 x (.f64 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 #s(literal 1/2 binary64) x) (.f64 x (.f64 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)))))))))))
✓	accuracy	100.0%	(+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 #s(literal 1/2 binary64) x))
✓	accuracy	99.8%	(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/24 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))

Results

89.0ms

256×

valid

Compiler

Compiled 328 to 25 computations (92.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 22.0ms (52.5% of total)

...c/correct-round.rkt:119:19: 11.0ms (26.3% of total)

ival-add: 4.0ms (9.6% of total)

ival-sub: 2.0ms (4.8% of total)

ival-div: 2.0ms (4.8% of total)

const: 0.0ms (0% of total)

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

series40.0ms (0.5%)

Counts

10 → 120

Calls

Call 1

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

Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 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 (* (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 (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -1/576 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 4) (- (* -1/2880 (pow x 2)) 1/576))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 4) (- (* (pow x 2) (- (* -127/2419200 (pow x 2)) 1/2880)) 1/576))))>
#<alt (* -289/1625702400 (pow x 14))>
#<alt (* -1 (* (pow x 14) (+ 289/1625702400 (* 17/4838400 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 17/4838400 (* 127/2419200 (/ 1 (pow x 2)))) (pow x 2))) 289/1625702400))>
#<alt (* (pow x 14) (- (* -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 14))>
#<alt (* -1 (* (pow x 14) (+ 289/1625702400 (* 17/4838400 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 17/4838400 (* 127/2419200 (/ 1 (pow x 2)))) (pow x 2))) 289/1625702400))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2)))) (pow x 4))) (+ 289/1625702400 (* 17/4838400 (/ 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 (* 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 (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/240 (pow x 2))))>
#<alt (* x (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))>
#<alt (* x (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))>
#<alt (* 17/40320 (pow x 5))>
#<alt (* (pow x 5) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))>
#<alt (* 17/40320 (pow x 5))>
#<alt (* (pow x 5) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))>
#<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))>

Calls

30 calls:

Time	Variable		Point	Expression
34.0ms	x	@	inf	(/ (- (* (* 1/2 x) (* 1/2 x)) (* (* 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)))))))))) (- (* 1/2 x) (* x (* x (* x (+ 1/24 (* x (* x (+ 1/240 (* (* x x) 17/40320))))))))))
0.0ms	x	@	-inf	(/ (- (* (* 1/2 x) (* 1/2 x)) (* (* 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)))))))))) (- (* 1/2 x) (* x (* x (* x (+ 1/24 (* x (* x (+ 1/240 (* (* x x) 17/40320))))))))))
0.0ms	x	@	inf	(+ (* x (* x (* x 1/24))) (* 1/2 x))
0.0ms	x	@	0	(/ (- (* (* 1/2 x) (* 1/2 x)) (* (* 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)))))))))) (- (* 1/2 x) (* x (* x (* x (+ 1/24 (* x (* x (+ 1/240 (* (* x x) 17/40320))))))))))
0.0ms	x	@	-inf	(* x (* x (* x 1/24)))

rewrite499.0ms (6.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4482×	`-lowering-.f32`
4482×	`-lowering-.f64`
3462×	`/-lowering-/.f32`
3462×	`/-lowering-/.f64`
1908×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	126
1	171	91
2	1585	88
0	8990	88

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 449

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))))
(-.f64 (/.f64 (.f64 x (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))))) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))))) (/.f64 (.f64 x (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(fma.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) x (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (+.f64 (.f64 x (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))))) (.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (-.f64 (.f64 x (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))))) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 x (.f64 x #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))))) (.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x)))))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (.f64 (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 x (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))))) (.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x)))))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (.f64 (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (.f64 x (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))))) (.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (-.f64 (.f64 x (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))))) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 x (.f64 x #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (.f64 (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))) (neg.f64 (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 x (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x)))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))))) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (.f64 (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))))) (neg.f64 (neg.f64 (+.f64 (.f64 x (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))))) (.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))))) (neg.f64 (neg.f64 (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 x (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))))))) (neg.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(pow.f64 (/.f64 (+.f64 (.f64 x (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))))) (.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x)))))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (.f64 (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))))) (.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))))))))
(.f64 (.f64 (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(.f64 (/.f64 (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) x) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 (.f64 x #s(literal 1/24 binary64)) (*.f64 x x))
(.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) x)
(.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/24 binary64)) x)
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(*.f64 x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.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)))))))))
(+.f64 (.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)))))))) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.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)))))))))) (neg.f64 (/.f64 (.f64 (.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)))))))) (.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))))))))) (.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))))))))))))
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(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.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 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64))))))))) x)) (neg.f64 (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64))))) #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64)))))))) x)) (neg.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 (.f64 (.f64 (.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 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64)))))))) (.f64 x (.f64 x x))) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 (.f64 x 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 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64)))))) (-.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x #s(literal 1/24 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64))))) (*.f64 x #s(literal 1/24 binary64))))))
(.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 #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)
(.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)

simplify252.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

3530×	`-lowering-.f32`
3530×	`-lowering-.f64`
3312×	`+-lowering-+.f64`
3312×	`+-lowering-+.f32`
1232×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	145	1012
1	455	876
2	1403	860
3	4182	853
0	8235	853

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 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 (* (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)))))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/576 (pow x 4))))
(* (pow x 2) (+ 1/4 (* (pow x 4) (- (* -1/2880 (pow x 2)) 1/576))))
(* (pow x 2) (+ 1/4 (* (pow x 4) (- (* (pow x 2) (- (* -127/2419200 (pow x 2)) 1/2880)) 1/576))))
(* -289/1625702400 (pow x 14))
(* -1 (* (pow x 14) (+ 289/1625702400 (* 17/4838400 (/ 1 (pow x 2))))))
(* (pow x 14) (- (* -1 (/ (+ 17/4838400 (* 127/2419200 (/ 1 (pow x 2)))) (pow x 2))) 289/1625702400))
(* (pow x 14) (- (* -1 (/ (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2)))) (pow x 4))) (+ 289/1625702400 (* 17/4838400 (/ 1 (pow x 2))))))
(* -289/1625702400 (pow x 14))
(* -1 (* (pow x 14) (+ 289/1625702400 (* 17/4838400 (/ 1 (pow x 2))))))
(* (pow x 14) (- (* -1 (/ (+ 17/4838400 (* 127/2419200 (/ 1 (pow x 2)))) (pow x 2))) 289/1625702400))
(* (pow x 14) (- (* -1 (/ (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2)))) (pow x 4))) (+ 289/1625702400 (* 17/4838400 (/ 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))
(* 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))))))
(* 1/24 x)
(* x (+ 1/24 (* 1/240 (pow x 2))))
(* x (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))
(* x (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))
(* 17/40320 (pow x 5))
(* (pow x 5) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* 17/40320 (pow x 5))
(* (pow x 5) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))
(* 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))

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 (* 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 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #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 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #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 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.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 (* (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 x (*.f64 x #s(literal 17/40320 binary64)))))))))
(* 17/40320 (pow x 7))
(*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (.f64 x x))))
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/240 binary64) (.f64 x x)) (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (-.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 17/40320 (pow x 7))
(*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 17/40320 binary64) (/.f64 (+.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/4 (* -1/576 (pow x 4))))
(.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64)))))
(* (pow x 2) (+ 1/4 (* (pow x 4) (- (* -1/2880 (pow x 2)) 1/576))))
(.f64 x (.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 #s(literal -1/2880 binary64))))))))
(* (pow x 2) (+ 1/4 (* (pow x 4) (- (* (pow x 2) (- (* -127/2419200 (pow x 2)) 1/2880)) 1/576))))
(.f64 x (.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))))))))))
(* -289/1625702400 (pow x 14))
(*.f64 #s(literal -289/1625702400 binary64) (pow.f64 x #s(literal 14 binary64)))
(* -1 (* (pow x 14) (+ 289/1625702400 (* 17/4838400 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 #s(literal -289/1625702400 binary64) (/.f64 #s(literal -17/4838400 binary64) (.f64 x x))))
(* (pow x 14) (- (* -1 (/ (+ 17/4838400 (* 127/2419200 (/ 1 (pow x 2)))) (pow x 2))) 289/1625702400))
(.f64 (pow.f64 x #s(literal 14 binary64)) (-.f64 #s(literal -289/1625702400 binary64) (/.f64 (+.f64 #s(literal 17/4838400 binary64) (/.f64 #s(literal 127/2419200 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 14) (- (* -1 (/ (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2)))) (pow x 4))) (+ 289/1625702400 (* 17/4838400 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -127/2419200 binary64) (/.f64 #s(literal -1/2880 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -289/1625702400 binary64) (/.f64 #s(literal -17/4838400 binary64) (.f64 x x)))))
(* -289/1625702400 (pow x 14))
(*.f64 #s(literal -289/1625702400 binary64) (pow.f64 x #s(literal 14 binary64)))
(* -1 (* (pow x 14) (+ 289/1625702400 (* 17/4838400 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 #s(literal -289/1625702400 binary64) (/.f64 #s(literal -17/4838400 binary64) (.f64 x x))))
(* (pow x 14) (- (* -1 (/ (+ 17/4838400 (* 127/2419200 (/ 1 (pow x 2)))) (pow x 2))) 289/1625702400))
(.f64 (pow.f64 x #s(literal 14 binary64)) (-.f64 #s(literal -289/1625702400 binary64) (/.f64 (+.f64 #s(literal 17/4838400 binary64) (/.f64 #s(literal 127/2419200 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 14) (- (* -1 (/ (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2)))) (pow x 4))) (+ 289/1625702400 (* 17/4838400 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -127/2419200 binary64) (/.f64 #s(literal -1/2880 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -289/1625702400 binary64) (/.f64 #s(literal -17/4838400 binary64) (.f64 x x)))))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 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 (*.f64 x x) #s(literal -1/24 binary64))))
(* x (+ 1/2 (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24))))
(.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) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal -17/40320 binary64))))))))
(* -17/40320 (pow x 7))
(*.f64 (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) (- (* 1/2 (/ 1 (pow x 6))) (+ 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 -1/24 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 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 #s(literal -17/40320 binary64) (+.f64 (/.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 -17/40320 binary64) (/.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/240 binary64) (*.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 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))
(.f64 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 (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))
(.f64 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 5))
(.f64 x (.f64 #s(literal 17/40320 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* (pow x 5) (+ 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)))))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* (pow x 5) (+ 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)))))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* 17/40320 (pow x 5))
(.f64 x (.f64 #s(literal 17/40320 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 17/40320 binary64) (/.f64 (+.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 17/40320 binary64) (/.f64 (+.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x))))
(* 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)))

eval117.0ms (1.5%)

Compiler: Compiled 85146 to 1868 computations (97.8% saved)

prune109.0ms (1.4%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	670	5	675
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	671	11	682

Accuracy

100.0%

Counts

682 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.6%	(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64)))))) (.f64 x (.f64 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 #s(literal 1/2 binary64) x) (.f64 x (.f64 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)))))))))))
▶	26.5%	(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x (.f64 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 x (.f64 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 #s(literal 1/2 binary64) x))
▶	27.0%	(/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 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)))))))))))
▶	26.7%	(/.f64 (.f64 x (.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 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 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)))))))))))
▶	26.8%	(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 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)))))))))))
✓	52.4%	(+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 #s(literal 1/2 binary64) x))
✓	52.5%	(.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))))))))
✓	52.4%	(.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)))))))
✓	52.4%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
✓	52.6%	(*.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Compiler

Compiled 549 to 286 computations (47.9% saved)

simplify264.0ms (3.3%)

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 x (.f64 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))))))))))
✓	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 x (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64)))))) (.f64 x (.f64 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)))))))))))
✓	cost-diff	256	(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64)))))) (.f64 x (.f64 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 #s(literal 1/2 binary64) x) (.f64 x (.f64 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)))))))))))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) 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 x (.f64 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 x (.f64 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)))))))))))
✓	cost-diff	256	(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x (.f64 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 x (.f64 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 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(.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)))))))))
✓	cost-diff	0	(.f64 x (.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))))))))))
✓	cost-diff	128	(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 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))))))))))
✓	cost-diff	256	(/.f64 (.f64 x (.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 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 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)))))))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/576 binary64))))
✓	cost-diff	0	(.f64 x (.f64 x (+.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 1/2 binary64) x) (.f64 x (.f64 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))))))))))
✓	cost-diff	256	(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 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)))))))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 1/4 binary64))
✓	cost-diff	128	(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 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))))))))))
✓	cost-diff	256	(/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 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)))))))))))

Rules

4702×	`-lowering-.f32`
4702×	`-lowering-.f64`
2276×	`+-lowering-+.f64`
2276×	`+-lowering-+.f32`
1046×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	1037
1	194	873
2	871	857
3	4605	847
0	8277	847

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize490.0ms (6.1%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.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)))))))
✓	accuracy	99.7%	(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/240 binary64))))
✓	accuracy	78.5%	(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64)))))) (.f64 x (.f64 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)))))))))))
✓	accuracy	38.3%	(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64)))))) (.f64 x (.f64 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 #s(literal 1/2 binary64) x) (.f64 x (.f64 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)))))))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 17/40320 binary64))
✓	accuracy	99.7%	(.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)))))))
✓	accuracy	78.5%	(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x (.f64 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 x (.f64 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)))))))))))
✓	accuracy	74.8%	(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x (.f64 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 x (.f64 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 #s(literal 1/2 binary64) x))
✓	accuracy	99.7%	(.f64 x (+.f64 #s(literal -1/2880 binary64) (.f64 (*.f64 x x) #s(literal -127/2419200 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -127/2419200 binary64))
✓	accuracy	99.7%	(.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)))))))
✓	accuracy	38.7%	(/.f64 (.f64 x (.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 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 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)))))))))))
✓	accuracy	99.9%	(.f64 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))))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 17/40320 binary64))
✓	accuracy	99.7%	(.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)))))))
✓	accuracy	37.0%	(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 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)))))))))))
✓	accuracy	99.9%	(.f64 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))))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 17/40320 binary64))
✓	accuracy	99.7%	(.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)))))))
✓	accuracy	51.8%	(/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 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)))))))))))

Results

295.0ms

256×

valid

Compiler

Compiled 1308 to 52 computations (96% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-mult: 50.0ms (53.3% of total)

...c/correct-round.rkt:119:19: 21.0ms (22.4% of total)

ival-add: 10.0ms (10.7% of total)

ival-div: 8.0ms (8.5% of total)

ival-sub: 4.0ms (4.3% of total)

const: 1.0ms (1.1% of total)

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

series31.0ms (0.4%)

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (/ (* (* x x) 1/4) (- (* 1/2 x) (* x (* x (* x (+ 1/24 (* x (* x (+ 1/240 (* (* x x) 17/40320))))))))))>
#<alt (- (* 1/2 x) (* x (* x (* x (+ 1/24 (* x (* x (+ 1/240 (* (* x x) 17/40320)))))))))>
#<alt (* (* x x) 1/4)>
#<alt (* x x)>
#<alt (/ (* x (* x (+ 1/4 (* (* x (* x (* x x))) -1/576)))) (- (* 1/2 x) (* x (* x (* x (+ 1/24 (* x (* x (+ 1/240 (* (* x x) 17/40320))))))))))>
#<alt (* x (* x (+ 1/4 (* (* x (* x (* x x))) -1/576))))>
#<alt (* x (+ 1/4 (* (* x (* x (* x x))) -1/576)))>
#<alt (/ (* x (* x (+ 1/4 (* (* x (* x (* x x))) (+ -1/576 (* x (* x (+ -1/2880 (* (* x x) -127/2419200))))))))) (- (* 1/2 x) (* x (* x (* x (+ 1/24 (* x (* x (+ 1/240 (* (* x x) 17/40320))))))))))>
#<alt (* x (* x (+ 1/4 (* (* x (* x (* x x))) (+ -1/576 (* x (* x (+ -1/2880 (* (* x x) -127/2419200)))))))))>
#<alt (* x (+ 1/4 (* (* x (* x (* x x))) (+ -1/576 (* x (* x (+ -1/2880 (* (* x x) -127/2419200))))))))>
#<alt (/ (- (* (* 1/2 x) (* 1/2 x)) (* (* 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)))))))))) (* 1/2 x))>
#<alt (- (* (* 1/2 x) (* 1/2 x)) (* (* 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))))))))))>
#<alt (* (* 1/2 x) (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (/ (- (* (* 1/2 x) (* 1/2 x)) (* (* x (* x (* x (+ 1/24 (* (* x x) 1/240))))) (* x (* x (* x (+ 1/24 (* x (* x (+ 1/240 (* (* x x) 17/40320)))))))))) (- (* 1/2 x) (* x (* x (* x (+ 1/24 (* x (* x (+ 1/240 (* (* x x) 17/40320))))))))))>
#<alt (- (* (* 1/2 x) (* 1/2 x)) (* (* x (* x (* x (+ 1/24 (* (* x x) 1/240))))) (* x (* x (* x (+ 1/24 (* x (* x (+ 1/240 (* (* x x) 17/40320))))))))))>
#<alt (* x (+ 1/24 (* x (* x (+ 1/240 (* (* x 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 (+ -1/2880 (* (* 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 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 (* 1/4 (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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 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 (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -1/576 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/4 (* -1/576 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/4 (* -1/576 (pow x 4))))>
#<alt (* -1/576 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* (pow x 6) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* (pow x 6) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* -1/576 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* (pow x 6) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* (pow x 6) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* 1/4 x)>
#<alt (* x (+ 1/4 (* -1/576 (pow x 4))))>
#<alt (* x (+ 1/4 (* -1/576 (pow x 4))))>
#<alt (* x (+ 1/4 (* -1/576 (pow x 4))))>
#<alt (* -1/576 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* (pow x 5) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* (pow x 5) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* -1/576 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/576 (* 1/4 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- 1/576 (* 1/4 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- 1/576 (* 1/4 (/ 1 (pow x 4))))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (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 (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -1/576 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 4) (- (* -1/2880 (pow x 2)) 1/576))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 4) (- (* (pow x 2) (- (* -127/2419200 (pow x 2)) 1/2880)) 1/576))))>
#<alt (* -127/2419200 (pow x 10))>
#<alt (* -1 (* (pow x 10) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (- (* -1 (/ (+ 1/2880 (* 1/576 (/ 1 (pow x 2)))) (pow x 2))) 127/2419200))>
#<alt (* (pow x 10) (- (* 1/4 (/ 1 (pow x 8))) (+ 127/2419200 (+ (/ 1/576 (pow x 4)) (* 1/2880 (/ 1 (pow x 2)))))))>
#<alt (* -127/2419200 (pow x 10))>
#<alt (* -1 (* (pow x 10) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (- (* -1 (/ (+ 1/2880 (* 1/576 (/ 1 (pow x 2)))) (pow x 2))) 127/2419200))>
#<alt (* (pow x 10) (- (* 1/4 (/ 1 (pow x 8))) (+ 127/2419200 (+ (/ 1/576 (pow x 4)) (* 1/2880 (/ 1 (pow x 2)))))))>
#<alt (* 1/4 x)>
#<alt (* x (+ 1/4 (* -1/576 (pow x 4))))>
#<alt (* x (+ 1/4 (* (pow x 4) (- (* -1/2880 (pow x 2)) 1/576))))>
#<alt (* x (+ 1/4 (* (pow x 4) (- (* (pow x 2) (- (* -127/2419200 (pow x 2)) 1/2880)) 1/576))))>
#<alt (* -127/2419200 (pow x 9))>
#<alt (* -1 (* (pow x 9) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2))))))>
#<alt (* (pow x 9) (- (* -1 (/ (+ 1/2880 (* 1/576 (/ 1 (pow x 2)))) (pow x 2))) 127/2419200))>
#<alt (* (pow x 9) (- (* 1/4 (/ 1 (pow x 8))) (+ 127/2419200 (+ (/ 1/576 (pow x 4)) (* 1/2880 (/ 1 (pow x 2)))))))>
#<alt (* -127/2419200 (pow x 9))>
#<alt (* -1 (* (pow x 9) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 9) (+ 127/2419200 (+ (/ 1/576 (pow x 4)) (* 1/2880 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 9) (- (+ 127/2419200 (+ (/ 1/576 (pow x 4)) (* 1/2880 (/ 1 (pow x 2))))) (* 1/4 (/ 1 (pow x 8))))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/288 (pow x 4))))>
#<alt (* x (+ 1/2 (* (pow x 4) (- (* -1/1440 (pow x 2)) 1/288))))>
#<alt (* x (+ 1/2 (* (pow x 4) (- (* (pow x 2) (- (* -127/1209600 (pow x 2)) 1/1440)) 1/288))))>
#<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 (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -1/576 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 4) (- (* -1/2880 (pow x 2)) 1/576))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 4) (- (* (pow x 2) (- (* -127/2419200 (pow x 2)) 1/2880)) 1/576))))>
#<alt (* -289/1625702400 (pow x 14))>
#<alt (* -1 (* (pow x 14) (+ 289/1625702400 (* 17/4838400 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 17/4838400 (* 127/2419200 (/ 1 (pow x 2)))) (pow x 2))) 289/1625702400))>
#<alt (* (pow x 14) (- (* -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 14))>
#<alt (* -1 (* (pow x 14) (+ 289/1625702400 (* 17/4838400 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 17/4838400 (* 127/2419200 (/ 1 (pow x 2)))) (pow x 2))) 289/1625702400))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2)))) (pow x 4))) (+ 289/1625702400 (* 17/4838400 (/ 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 (* 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 (* (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 (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -1/576 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 4) (- (* -1/2880 (pow x 2)) 1/576))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 4) (- (* (pow x 2) (- (* -169/4838400 (pow x 2)) 1/2880)) 1/576))))>
#<alt (* -17/9676800 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 17/9676800 (* 169/4838400 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 169/4838400 (* 1/2880 (/ 1 (pow x 2)))) (pow x 2))) 17/9676800))>
#<alt (* (pow x 12) (- (* -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 12))>
#<alt (* -1 (* (pow x 12) (+ 17/9676800 (* 169/4838400 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 169/4838400 (* 1/2880 (/ 1 (pow x 2)))) (pow x 2))) 17/9676800))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 1/2880 (* 1/576 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/9676800 (* 169/4838400 (/ 1 (pow x 2))))))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/240 (pow x 2))))>
#<alt (* x (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))>
#<alt (* x (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))>
#<alt (* 17/40320 (pow x 5))>
#<alt (* (pow x 5) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))>
#<alt (* 17/40320 (pow x 5))>
#<alt (* (pow x 5) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))>
#<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 (* -1/2880 x)>
#<alt (* x (- (* -127/2419200 (pow x 2)) 1/2880))>
#<alt (* x (- (* -127/2419200 (pow x 2)) 1/2880))>
#<alt (* x (- (* -127/2419200 (pow x 2)) 1/2880))>
#<alt (* -127/2419200 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2))))))>
#<alt (* -127/2419200 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 127/2419200 (* 1/2880 (/ 1 (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

66 calls:

Time	Variable		Point	Expression
15.0ms	x	@	inf	(- (* (* 1/2 x) (* 1/2 x)) (* (* x (* x (* x (+ 1/24 (* (* x x) 1/240))))) (* x (* x (* x (+ 1/24 (* x (* x (+ 1/240 (* (* x x) 17/40320))))))))))
2.0ms	x	@	inf	(/ (* x (* x (+ 1/4 (* (* x (* x (* x x))) (+ -1/576 (* x (* x (+ -1/2880 (* (* x x) -127/2419200))))))))) (- (* 1/2 x) (* x (* x (* x (+ 1/24 (* x (* x (+ 1/240 (* (* x x) 17/40320))))))))))
1.0ms	x	@	inf	(* x (* x (+ 1/4 (* (* x (* x (* x x))) -1/576))))
1.0ms	x	@	inf	(/ (- (* (* 1/2 x) (* 1/2 x)) (* (* x (* x (* x (+ 1/24 (* (* x x) 1/240))))) (* x (* x (* x (+ 1/24 (* x (* x (+ 1/240 (* (* x x) 17/40320)))))))))) (- (* 1/2 x) (* x (* x (* x (+ 1/24 (* x (* x (+ 1/240 (* (* x x) 17/40320))))))))))
1.0ms	x	@	0	(/ (- (* (* 1/2 x) (* 1/2 x)) (* (* 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)))))))))) (* 1/2 x))

rewrite369.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4060×	`-lowering-.f32`
4060×	`-lowering-.f64`
1544×	`unpow-prod-down`
1476×	`pow-lowering-pow.f64`
1476×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	381
1	367	316
2	3535	316
0	8077	316

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 461

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64)))))))) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 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)))))))))))
(neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))))))
(/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))))
(/.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (-.f64 #s(literal 0 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 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64)))))))) (.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64)))))))) (.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64)))))))) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))))))
(/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 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)))))))))
(pow.f64 (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64)))))))) (.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64)))))))) (.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 x (.f64 x (/.f64 #s(literal 1/4 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 (.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 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 (.f64 x #s(literal 1/4 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))))))
(.f64 (.f64 x x) (/.f64 #s(literal 1/4 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 #s(literal 1/4 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 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 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.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 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 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 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.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 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))))))
(.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.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 #s(literal 1 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))))))))))
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(/.f64 (.f64 x (-.f64 #s(literal 1/8294400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16129/5852528640000 binary64)))) (-.f64 #s(literal -1/2880 binary64) (.f64 (*.f64 x x) #s(literal -127/2419200 binary64))))
(/.f64 (.f64 (+.f64 #s(literal -1/23887872000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -2048383/14158437285888000000 binary64)))) x) (+.f64 #s(literal 1/8294400 binary64) (.f64 (.f64 (.f64 x x) #s(literal -127/2419200 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -127/2419200 binary64)) #s(literal -1/2880 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/8294400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16129/5852528640000 binary64))) x) (-.f64 #s(literal -1/2880 binary64) (.f64 (*.f64 x x) #s(literal -127/2419200 binary64))))
(.f64 x (+.f64 #s(literal -1/2880 binary64) (.f64 (*.f64 x x) #s(literal -127/2419200 binary64))))
(.f64 (+.f64 #s(literal -1/2880 binary64) (.f64 (*.f64 x 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 (.f64 x (.f64 x x)) (.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)

simplify319.0ms (4%)

Algorithm

1×	egg-herbie

Rules

4912×	`+-lowering-+.f64`
4912×	`+-lowering-+.f32`
4784×	`-lowering-.f32`
4784×	`-lowering-.f64`
1776×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	404	2682
1	1298	2347
2	4189	2296
0	8197	2296

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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 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))))))
(* 1/4 (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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 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))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/576 (pow x 4))))
(* (pow x 2) (+ 1/4 (* -1/576 (pow x 4))))
(* (pow x 2) (+ 1/4 (* -1/576 (pow x 4))))
(* -1/576 (pow x 6))
(* (pow x 6) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* (pow x 6) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* (pow x 6) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* -1/576 (pow x 6))
(* (pow x 6) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* (pow x 6) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* (pow x 6) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* 1/4 x)
(* x (+ 1/4 (* -1/576 (pow x 4))))
(* x (+ 1/4 (* -1/576 (pow x 4))))
(* x (+ 1/4 (* -1/576 (pow x 4))))
(* -1/576 (pow x 5))
(* (pow x 5) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* (pow x 5) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* (pow x 5) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* -1/576 (pow x 5))
(* -1 (* (pow x 5) (- 1/576 (* 1/4 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- 1/576 (* 1/4 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- 1/576 (* 1/4 (/ 1 (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)))))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/576 (pow x 4))))
(* (pow x 2) (+ 1/4 (* (pow x 4) (- (* -1/2880 (pow x 2)) 1/576))))
(* (pow x 2) (+ 1/4 (* (pow x 4) (- (* (pow x 2) (- (* -127/2419200 (pow x 2)) 1/2880)) 1/576))))
(* -127/2419200 (pow x 10))
(* -1 (* (pow x 10) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2))))))
(* (pow x 10) (- (* -1 (/ (+ 1/2880 (* 1/576 (/ 1 (pow x 2)))) (pow x 2))) 127/2419200))
(* (pow x 10) (- (* 1/4 (/ 1 (pow x 8))) (+ 127/2419200 (+ (/ 1/576 (pow x 4)) (* 1/2880 (/ 1 (pow x 2)))))))
(* -127/2419200 (pow x 10))
(* -1 (* (pow x 10) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2))))))
(* (pow x 10) (- (* -1 (/ (+ 1/2880 (* 1/576 (/ 1 (pow x 2)))) (pow x 2))) 127/2419200))
(* (pow x 10) (- (* 1/4 (/ 1 (pow x 8))) (+ 127/2419200 (+ (/ 1/576 (pow x 4)) (* 1/2880 (/ 1 (pow x 2)))))))
(* 1/4 x)
(* x (+ 1/4 (* -1/576 (pow x 4))))
(* x (+ 1/4 (* (pow x 4) (- (* -1/2880 (pow x 2)) 1/576))))
(* x (+ 1/4 (* (pow x 4) (- (* (pow x 2) (- (* -127/2419200 (pow x 2)) 1/2880)) 1/576))))
(* -127/2419200 (pow x 9))
(* -1 (* (pow x 9) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2))))))
(* (pow x 9) (- (* -1 (/ (+ 1/2880 (* 1/576 (/ 1 (pow x 2)))) (pow x 2))) 127/2419200))
(* (pow x 9) (- (* 1/4 (/ 1 (pow x 8))) (+ 127/2419200 (+ (/ 1/576 (pow x 4)) (* 1/2880 (/ 1 (pow x 2)))))))
(* -127/2419200 (pow x 9))
(* -1 (* (pow x 9) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2))))))
(* -1 (* (pow x 9) (+ 127/2419200 (+ (/ 1/576 (pow x 4)) (* 1/2880 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 9) (- (+ 127/2419200 (+ (/ 1/576 (pow x 4)) (* 1/2880 (/ 1 (pow x 2))))) (* 1/4 (/ 1 (pow x 8))))))
(* 1/2 x)
(* x (+ 1/2 (* -1/288 (pow x 4))))
(* x (+ 1/2 (* (pow x 4) (- (* -1/1440 (pow x 2)) 1/288))))
(* x (+ 1/2 (* (pow x 4) (- (* (pow x 2) (- (* -127/1209600 (pow x 2)) 1/1440)) 1/288))))
(* -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))))))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/576 (pow x 4))))
(* (pow x 2) (+ 1/4 (* (pow x 4) (- (* -1/2880 (pow x 2)) 1/576))))
(* (pow x 2) (+ 1/4 (* (pow x 4) (- (* (pow x 2) (- (* -127/2419200 (pow x 2)) 1/2880)) 1/576))))
(* -289/1625702400 (pow x 14))
(* -1 (* (pow x 14) (+ 289/1625702400 (* 17/4838400 (/ 1 (pow x 2))))))
(* (pow x 14) (- (* -1 (/ (+ 17/4838400 (* 127/2419200 (/ 1 (pow x 2)))) (pow x 2))) 289/1625702400))
(* (pow x 14) (- (* -1 (/ (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2)))) (pow x 4))) (+ 289/1625702400 (* 17/4838400 (/ 1 (pow x 2))))))
(* -289/1625702400 (pow x 14))
(* -1 (* (pow x 14) (+ 289/1625702400 (* 17/4838400 (/ 1 (pow x 2))))))
(* (pow x 14) (- (* -1 (/ (+ 17/4838400 (* 127/2419200 (/ 1 (pow x 2)))) (pow x 2))) 289/1625702400))
(* (pow x 14) (- (* -1 (/ (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2)))) (pow x 4))) (+ 289/1625702400 (* 17/4838400 (/ 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))
(* 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 (* (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)))))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/576 (pow x 4))))
(* (pow x 2) (+ 1/4 (* (pow x 4) (- (* -1/2880 (pow x 2)) 1/576))))
(* (pow x 2) (+ 1/4 (* (pow x 4) (- (* (pow x 2) (- (* -169/4838400 (pow x 2)) 1/2880)) 1/576))))
(* -17/9676800 (pow x 12))
(* -1 (* (pow x 12) (+ 17/9676800 (* 169/4838400 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 169/4838400 (* 1/2880 (/ 1 (pow x 2)))) (pow x 2))) 17/9676800))
(* (pow x 12) (- (* -1 (/ (+ 1/2880 (* 1/576 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/9676800 (* 169/4838400 (/ 1 (pow x 2))))))
(* -17/9676800 (pow x 12))
(* -1 (* (pow x 12) (+ 17/9676800 (* 169/4838400 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 169/4838400 (* 1/2880 (/ 1 (pow x 2)))) (pow x 2))) 17/9676800))
(* (pow x 12) (- (* -1 (/ (+ 1/2880 (* 1/576 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/9676800 (* 169/4838400 (/ 1 (pow x 2))))))
(* 1/24 x)
(* x (+ 1/24 (* 1/240 (pow x 2))))
(* x (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))
(* x (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))
(* 17/40320 (pow x 5))
(* (pow x 5) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* 17/40320 (pow x 5))
(* (pow x 5) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))
(* 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))
(* -1/2880 x)
(* x (- (* -127/2419200 (pow x 2)) 1/2880))
(* x (- (* -127/2419200 (pow x 2)) 1/2880))
(* x (- (* -127/2419200 (pow x 2)) 1/2880))
(* -127/2419200 (pow x 3))
(* -1 (* (pow x 3) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2))))))
(* -127/2419200 (pow x 3))
(* -1 (* (pow x 3) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 127/2419200 (* 1/2880 (/ 1 (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)))))
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(-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) x) (+.f64 #s(literal -17/40320 binary64) (/.f64 (+.f64 #s(literal -1/240 binary64) (/.f64 #s(literal -1/24 binary64) (.f64 x x))) (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) x) (+.f64 #s(literal -17/40320 binary64) (/.f64 (+.f64 #s(literal -1/240 binary64) (/.f64 #s(literal -1/24 binary64) (.f64 x x))) (*.f64 x x)))))
(* 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 x (.f64 x #s(literal 1/24 binary64)))
(* (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 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64))))))
(* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (.f64 x x) #s(literal 17/40320 binary64))))))
(* 17/40320 (pow x 6))
(*.f64 (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 #s(literal 17/40320 binary64) (+.f64 (/.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 #s(literal 17/40320 binary64) (+.f64 (/.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 #s(literal 17/40320 binary64) (+.f64 (/.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 #s(literal 17/40320 binary64) (+.f64 (/.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))
(* -1/2880 x)
(*.f64 x #s(literal -1/2880 binary64))
(* x (- (* -127/2419200 (pow x 2)) 1/2880))
(.f64 x (+.f64 #s(literal -1/2880 binary64) (.f64 (*.f64 x x) #s(literal -127/2419200 binary64))))
(* x (- (* -127/2419200 (pow x 2)) 1/2880))
(.f64 x (+.f64 #s(literal -1/2880 binary64) (.f64 (*.f64 x x) #s(literal -127/2419200 binary64))))
(* x (- (* -127/2419200 (pow x 2)) 1/2880))
(.f64 x (+.f64 #s(literal -1/2880 binary64) (.f64 (*.f64 x x) #s(literal -127/2419200 binary64))))
(* -127/2419200 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -127/2419200 binary64))
(* -1 (* (pow x 3) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -127/2419200 binary64) (/.f64 #s(literal -1/2880 binary64) (.f64 x x))))
(* -1 (* (pow x 3) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -127/2419200 binary64) (/.f64 #s(literal -1/2880 binary64) (.f64 x x))))
(* -1 (* (pow x 3) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -127/2419200 binary64) (/.f64 #s(literal -1/2880 binary64) (.f64 x x))))
(* -127/2419200 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -127/2419200 binary64))
(* -1 (* (pow x 3) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -127/2419200 binary64) (/.f64 #s(literal -1/2880 binary64) (.f64 x x))))
(* -1 (* (pow x 3) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -127/2419200 binary64) (/.f64 #s(literal -1/2880 binary64) (.f64 x x))))
(* -1 (* (pow x 3) (+ 127/2419200 (* 1/2880 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -127/2419200 binary64) (/.f64 #s(literal -1/2880 binary64) (.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 x (.f64 (*.f64 x x) #s(literal 1/240 binary64)))
(* (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 x (.f64 (*.f64 x x) #s(literal 1/240 binary64)))
(* (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)))))

eval535.0ms (6.7%)

Compiler: Compiled 99661 to 2821 computations (97.2% saved)

prune144.0ms (1.8%)

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	1552	14	1566
Fresh	0	0	0
Picked	5	0	5
Done	0	6	6
Total	1557	20	1577

Accuracy

100.0%

Counts

1577 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.8%	(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 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 (+.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)))))))))))
	2.5%	(/.f64 (+.f64 #s(literal 70/17 binary64) (/.f64 #s(literal -11760/289 binary64) (*.f64 x x))) x)
	26.7%	(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x 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 -169/4838400 binary64)))))))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 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)))))))))))
	26.7%	(/.f64 (.f64 (.f64 x x) (+.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 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)))))))))
	27.3%	(/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))
	27.3%	(/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64)))))
	3.4%	(/.f64 (.f64 x (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) x) #s(literal -1/576 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 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)))))))))))
	26.5%	(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 x (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) x) #s(literal 17/40320 binary64))))))
	26.9%	(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))))))
	26.9%	(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))))) (.f64 x (+.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))))))))
	3.8%	(/.f64 #s(literal 70/17 binary64) x)
	2.2%	(/.f64 #s(literal -10080/17 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) x))
✓	52.4%	(+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 #s(literal 1/2 binary64) x))
	52.0%	(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 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))))))))) x)
	52.1%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/288 binary64))))
✓	52.5%	(.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))))))))
✓	52.4%	(.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)))))))
✓	52.4%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
✓	52.6%	(*.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Compiler

Compiled 1248 to 420 computations (66.3% saved)

regimes21.0ms (0.3%)

Counts

27 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 70/17 binary64) 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 #s(literal -10080/17 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) x))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/288 binary64))))
(.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)))))))
(/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64)))))
(/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))))
(/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 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 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))))) (.f64 x (+.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 (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))))))
(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 x (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) x) #s(literal 17/40320 binary64))))))
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 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))))))))) x)
(/.f64 (.f64 x (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) x) #s(literal -1/576 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 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 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 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) (+.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 x (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))))
(/.f64 (.f64 x (.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 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 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) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x 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 -169/4838400 binary64)))))))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 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 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x (.f64 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 x (.f64 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 #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 x (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 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 (+.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 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64)))))) (.f64 x (.f64 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 #s(literal 1/2 binary64) x) (.f64 x (.f64 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 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x (.f64 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 x (.f64 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 #s(literal 1/2 binary64) x) (.f64 x (.f64 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)))))))))))
(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:

8.0ms	x
7.0ms	(/.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)

regimes9.0ms (0.1%)

Accuracy

Total -33.2b remaining (-109.5%)

Threshold costs -33.2b (-109.5%)

Counts

25 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 70/17 binary64) 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 #s(literal -10080/17 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) x))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/288 binary64))))
(.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)))))))
(/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64)))))
(/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))))
(/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 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 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))))) (.f64 x (+.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 (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64))))))))
(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 x (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) x) #s(literal 17/40320 binary64))))))
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 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))))))))) x)
(/.f64 (.f64 x (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) x) #s(literal -1/576 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 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 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 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) (+.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 x (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))))
(/.f64 (.f64 x (.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 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 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) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x 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 -169/4838400 binary64)))))))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 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 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x (.f64 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 x (.f64 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 #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 x (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 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 (+.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 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/240 binary64)))))) (.f64 x (.f64 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 #s(literal 1/2 binary64) x) (.f64 x (.f64 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 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x (.f64 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 x (.f64 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 #s(literal 1/2 binary64) x) (.f64 x (.f64 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)))))))))))

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
52.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness151.0ms (1.9%)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4
1	18	4
2	28	4
3	40	4
4	64	4
5	95	4
6	157	4
7	270	4
8	639	4
9	1217	4
10	1698	4
11	1722	4
12	1730	4
13	1736	4
14	1744	4
15	1757	4
16	1765	4
17	1774	4
18	1775	4
0	1775	4
0	26	156
1	75	144
2	234	144
3	656	144
4	1238	144
5	1662	144
6	1820	144
7	1821	144
0	1821	144

Stop Event

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

Compiler

Compiled 22 to 17 computations (22.7% saved)

preprocess124.0ms (1.6%)

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

analyze168.0ms (2.1%)

sample2.1s (26.5%)

preprocess86.0ms (1.1%)

explain186.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize81.0ms (1%)

series3.0ms (0%)

rewrite321.0ms (4%)

simplify93.0ms (1.2%)

eval48.0ms (0.6%)

prune41.0ms (0.5%)

simplify63.0ms (0.8%)

localize155.0ms (2%)

series19.0ms (0.2%)

rewrite364.0ms (4.6%)

simplify219.0ms (2.8%)

eval74.0ms (0.9%)

prune72.0ms (0.9%)

simplify226.0ms (2.8%)

localize150.0ms (1.9%)

series40.0ms (0.5%)

rewrite499.0ms (6.3%)

simplify252.0ms (3.2%)

eval117.0ms (1.5%)

prune109.0ms (1.4%)

simplify264.0ms (3.3%)

localize490.0ms (6.1%)

series31.0ms (0.4%)

rewrite369.0ms (4.6%)

simplify319.0ms (4%)

eval535.0ms (6.7%)

prune144.0ms (1.8%)

regimes21.0ms (0.3%)

regimes9.0ms (0.1%)

simplify7.0ms (0.1%)

soundness151.0ms (1.9%)

preprocess124.0ms (1.6%)

end0.0ms (0%)

Profiling