Metrics for Jmat.Real.dawson

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 175 to 46 computations (73.7% saved)

sample4.5s (3.1%)

Memory

-50.0MiB live, 3 816.4MiB allocated

Samples

3.9s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 3.6s

ival-mult: 1.8s (50.6% of total)

const: 1.2s (33.3% of total)

ival-add: 525.0ms (14.4% of total)

ival-div: 47.0ms (1.3% of total)

exact: 9.0ms (0.2% of total)

ival-true: 6.0ms (0.2% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

explain861.0ms (0.6%)

Memory

39.8MiB live, 1 181.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
107	-	0	-	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x)))))
56	-	2	(-3.3989580889988533e+156)	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)
0	-	0	-	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))
0	-	0	-	`(.f64 (.f64 x x) (*.f64 x x))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`#s(literal 1049934947/10000000000 binary64)`
0	-	0	-	`#s(literal 70002721/5000000000 binary64)`
0	-	0	-	`(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))))`
0	-	0	-	`#s(literal 2532017/5000000000 binary64)`
0	-	0	-	`(.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))`
0	-	0	-	`(.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))`
0	-	0	-	`(.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))`
0	-	0	-	`(.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))`
0	-	0	-	`(.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))`
0	-	0	-	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))
0	-	0	-	`(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x))))`
0	-	0	-	`#s(literal 7715471019/10000000000 binary64)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`
0	-	0	-	`(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (*.f64 x x))`
0	-	0	-	`#s(literal 1789971/10000000000 binary64)`
0	-	0	-	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))))
0	-	0	-	`(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x)))`
0	-	0	-	`#s(literal 694555761/10000000000 binary64)`
0	-	0	-	`(.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))`
0	-	0	-	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x)))`
0	-	0	-	`#s(literal 2909738639/10000000000 binary64)`
0	-	0	-	`(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x))))`
0	-	0	-	`(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))`
0	-	0	-	`(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`
0	-	0	-	`(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x))))`
0	-	0	-	`(+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x)))`
0	-	0	-	`#s(literal 106015151/2500000000 binary64)`
0	-	0	-	`(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x))))`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`#s(literal 36322091/5000000000 binary64)`
0	-	0	-	`#s(literal 1665589/2000000000 binary64)`
0	-	0	-	`(.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))`
0	-	0	-	`(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))))`
0	-	0	-	`(.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))`
0	-	0	-	`(.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))`
0	-	0	-	`(*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64))`
0	-	0	-	`(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x)))))	o/o	105	0
↳	`(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))`	overflow	294
↳	`(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x))))`	overflow	84
↳	`(.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))`	overflow	84
↳	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))	overflow	105
↳	`(*.f64 x x)`	overflow	840
↳	`(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x))))`	overflow	103
↳	`(.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))`	overflow	103
↳	`(.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))`	overflow	98
↳	`(.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	105
↳	`(.f64 (.f64 x x) (*.f64 x x))`	overflow	336
↳	`(.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))`	overflow	105
↳	`(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	206
↳	`(.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))`	overflow	56
↳	`(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x)))`	overflow	56
↳	`(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))))`	overflow	98
↳	`(.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))`	overflow	84
↳	`(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	107
↳	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))))	overflow	107
↳	`(.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))`	overflow	105
↳	`(.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	210
↳	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x)))`	overflow	107
↳	`(.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))`	overflow	103
↳	`(.f64 (.f64 x x) (*.f64 x x))`	overflow	420
↳	`(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))`	overflow	392
↳	`(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x))))`	overflow	103
↳	`(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	309
↳	`(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x))))`	overflow	84
↳	`(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))`	overflow	56
↳	`(.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))`	overflow	98
↳	`(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))))`	overflow	98
↳	`(*.f64 x x)`	overflow	1176
↳	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))	overflow	105
↳	`(+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x)))`	overflow	56
`*.f64`	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)	*nu**	54	0
`/.f64`	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x)))))	n/o	2	0
↳	`(.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))`	overflow	84
↳	`(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	107
↳	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))))	overflow	107
↳	`(.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))`	overflow	105
↳	`(.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	210
↳	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x)))`	overflow	107
↳	`(.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))`	overflow	103
↳	`(.f64 (.f64 x x) (*.f64 x x))`	overflow	420
↳	`(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))`	overflow	392
↳	`(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x))))`	overflow	103
↳	`(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	309
↳	`(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x))))`	overflow	84
↳	`(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))`	overflow	56
↳	`(.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))`	overflow	98
↳	`(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))))`	overflow	98
↳	`(*.f64 x x)`	overflow	1176
↳	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))	overflow	105
↳	`(+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x)))`	overflow	56

Confusion

	Predicted +	Predicted -
+	107	0
-	0	149

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	107	0	0
-	0	0	149

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	149
1	53
2	54

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

177.0ms

512×

valid

Compiler

Compiled 2 266 to 136 computations (94% saved)

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

const: 57.0ms (41.6% of total)

ival-mult: 54.0ms (39.5% of total)

ival-add: 22.0ms (16.1% of total)

ival-div: 3.0ms (2.2% of total)

exact: 1.0ms (0.7% of total)

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

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

preprocess492.0ms (0.3%)

Memory

-70.4MiB live, 403.2MiB allocated

Algorithm

1×	egg-herbie

Rules

29 768×	`lower-fma.f64`
29 768×	`lower-fma.f32`
5 826×	`lower-+.f32`
5 804×	`lower-+.f64`
5 382×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	345
1	150	215
2	796	155
3	3989	145
0	44	171
0	76	171
1	163	107
2	577	77
3	2429	71
4	4571	71
5	4708	71
6	4824	71
7	5091	71
8	5409	71
9	5411	71
10	7428	71
11	7949	71
12	7989	71
0	8035	60

Stop Event

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

Calls

Call 1

Inputs

(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)

Outputs

(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)

(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64)) #s(literal 36322091/5000000000 binary64)) (fma.f64 x (*.f64 x #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64)) (/.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)) #s(literal 1665589/2000000000 binary64)) (fma.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64))) (fma.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))))

Symmetry

(negabs x)

Compiler

Compiled 174 to 44 computations (74.7% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.2%	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)

Status

Accuracy

Program

▶

58.2%

(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)

Compiler

Compiled 174 to 44 computations (74.7% saved)

simplify505.0ms (0.3%)

Memory

43.0MiB live, 466.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	2048	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))
cost-diff	2048	(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x))))
cost-diff	2048	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))
cost-diff	2688	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))))

Rules

29 768×	`lower-fma.f64`
29 768×	`lower-fma.f32`
5 826×	`lower-+.f32`
5 804×	`lower-+.f64`
5 382×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	1034
0	76	1034
1	163	666
2	577	496
3	2429	460
4	4571	454
5	4708	454
6	4824	454
7	5091	454
8	5409	454
9	5411	454
10	7428	454
11	7949	454
12	7989	454
0	8035	396

Stop Event

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

Calls

Call 1

Inputs
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Outputs
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localize153.0ms (0.1%)

Memory

-22.9MiB live, 218.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))
accuracy	0.2109375	(.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))
accuracy	12.828475836262935	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)
accuracy	26.271494266804186	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x)))))

Samples

89.0ms

256×

valid

Compiler

Compiled 1 046 to 46 computations (95.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

const: 34.0ms (47.6% of total)

ival-mult: 25.0ms (35% of total)

ival-add: 11.0ms (15.4% of total)

ival-div: 1.0ms (1.4% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0%)

Memory

23.6MiB live, 23.6MiB allocated

Counts

8 → 96

Calls

Call 1

Inputs
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Outputs
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2))))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2))))))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* 1789971/5000000000 (pow x 12)) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6))))))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* 1789971/5000000000 (pow x 12)) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) #<representation binary64>) () ())) ())
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Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))
1.0ms	x	@	inf	(+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x))))
1.0ms	x	@	0	(* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x)
0.0ms	x	@	0	(+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))
0.0ms	x	@	inf	(/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x)))))

simplify192.0ms (0.1%)

Memory

2.5MiB live, 190.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 900×	`lower-fma.f64`
8 900×	`lower-fma.f32`
3 986×	`lower-*.f64`
3 986×	`lower-*.f32`
2 160×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	1024
1	440	1024
2	1071	1016
3	2793	1016
4	4923	1016
5	6596	1016
0	8655	980

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 95

Calls

Call 1

Inputs
1
(+ 1 (* 7715471019/10000000000 (pow x 2)))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))))
(* 1789971/5000000000 (pow x 12))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(* 1789971/5000000000 (pow x 12))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
1
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))))))
(* 1789971/10000000000 (pow x 10))
(* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
(* 1789971/10000000000 (pow x 10))
(* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
1
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))))))
(* 2532017/5000000000 (pow x 8))
(* (pow x 8) (+ 2532017/5000000000 (* 36322091/5000000000 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (* 36322091/5000000000 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (+ (* 36322091/5000000000 (/ 1 (pow x 2))) (* 1049934947/10000000000 (/ 1 (pow x 6)))))))
(* 2532017/5000000000 (pow x 8))
(* (pow x 8) (+ 2532017/5000000000 (* 36322091/5000000000 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (* 36322091/5000000000 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (+ (* 36322091/5000000000 (/ 1 (pow x 2))) (* 1049934947/10000000000 (/ 1 (pow x 6)))))))
1
(+ 1 (* 7715471019/10000000000 (pow x 2)))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))))
(* 1665589/2000000000 (pow x 10))
(* (pow x 10) (+ 1665589/2000000000 (* 70002721/5000000000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1665589/2000000000 (+ (/ 694555761/10000000000 (pow x 4)) (* 70002721/5000000000 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 1665589/2000000000 (+ (/ 694555761/10000000000 (pow x 4)) (+ (* 70002721/5000000000 (/ 1 (pow x 2))) (* 2909738639/10000000000 (/ 1 (pow x 6)))))))
(* 1665589/2000000000 (pow x 10))
(* (pow x 10) (+ 1665589/2000000000 (* 70002721/5000000000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1665589/2000000000 (+ (/ 694555761/10000000000 (pow x 4)) (* 70002721/5000000000 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 1665589/2000000000 (+ (/ 694555761/10000000000 (pow x 4)) (+ (* 70002721/5000000000 (/ 1 (pow x 2))) (* 2909738639/10000000000 (/ 1 (pow x 6)))))))
1
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 7715471019/10000000000 (pow x 2)))
(fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 694555761/10000000000 binary64)) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))
(* 1789971/5000000000 (pow x 12))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (/.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1789971/5000000000 binary64) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (/.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))))
(* 1789971/5000000000 (pow x 12))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (/.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1789971/5000000000 binary64) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (/.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))))
1
#s(literal 1 binary64)
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))
(* 1789971/10000000000 (pow x 10))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (.f64 x x))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 2532017/5000000000 binary64) (.f64 x x)) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 2532017/5000000000 binary64) (.f64 x x)) (+.f64 #s(literal 1789971/10000000000 binary64) (+.f64 (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))))
(* 1789971/10000000000 (pow x 10))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (.f64 x x))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 2532017/5000000000 binary64) (.f64 x x)) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 2532017/5000000000 binary64) (.f64 x x)) (+.f64 #s(literal 1789971/10000000000 binary64) (+.f64 (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))))
1
#s(literal 1 binary64)
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))
(* 2532017/5000000000 (pow x 8))
(*.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 2532017/5000000000 (* 36322091/5000000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 2532017/5000000000 binary64) (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x))))
(* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (* 36322091/5000000000 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 2532017/5000000000 binary64) (+.f64 (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x)) (/.f64 #s(literal 106015151/2500000000 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (+ (* 36322091/5000000000 (/ 1 (pow x 2))) (* 1049934947/10000000000 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 2532017/5000000000 binary64) (+.f64 (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x)) (/.f64 #s(literal 106015151/2500000000 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1049934947/10000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
(* 2532017/5000000000 (pow x 8))
(*.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 2532017/5000000000 (* 36322091/5000000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 2532017/5000000000 binary64) (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x))))
(* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (* 36322091/5000000000 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 2532017/5000000000 binary64) (+.f64 (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x)) (/.f64 #s(literal 106015151/2500000000 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (+ (* 36322091/5000000000 (/ 1 (pow x 2))) (* 1049934947/10000000000 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 2532017/5000000000 binary64) (+.f64 (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x)) (/.f64 #s(literal 106015151/2500000000 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1049934947/10000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
1
#s(literal 1 binary64)
(+ 1 (* 7715471019/10000000000 (pow x 2)))
(fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 694555761/10000000000 binary64)) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))
(* 1665589/2000000000 (pow x 10))
(*.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1665589/2000000000 (* 70002721/5000000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1665589/2000000000 binary64) (/.f64 #s(literal 70002721/5000000000 binary64) (.f64 x x))))
(* (pow x 10) (+ 1665589/2000000000 (+ (/ 694555761/10000000000 (pow x 4)) (* 70002721/5000000000 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 70002721/5000000000 binary64) (.f64 x x)) (+.f64 #s(literal 1665589/2000000000 binary64) (/.f64 #s(literal 694555761/10000000000 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 10) (+ 1665589/2000000000 (+ (/ 694555761/10000000000 (pow x 4)) (+ (* 70002721/5000000000 (/ 1 (pow x 2))) (* 2909738639/10000000000 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 694555761/10000000000 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 70002721/5000000000 binary64) (.f64 x x)) (+.f64 #s(literal 1665589/2000000000 binary64) (/.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))))
(* 1665589/2000000000 (pow x 10))
(*.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1665589/2000000000 (* 70002721/5000000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1665589/2000000000 binary64) (/.f64 #s(literal 70002721/5000000000 binary64) (.f64 x x))))
(* (pow x 10) (+ 1665589/2000000000 (+ (/ 694555761/10000000000 (pow x 4)) (* 70002721/5000000000 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 70002721/5000000000 binary64) (.f64 x x)) (+.f64 #s(literal 1665589/2000000000 binary64) (/.f64 #s(literal 694555761/10000000000 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 10) (+ 1665589/2000000000 (+ (/ 694555761/10000000000 (pow x 4)) (+ (* 70002721/5000000000 (/ 1 (pow x 2))) (* 2909738639/10000000000 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 694555761/10000000000 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 70002721/5000000000 binary64) (.f64 x x)) (+.f64 #s(literal 1665589/2000000000 binary64) (/.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))))
1
#s(literal 1 binary64)
(+ 1 (* -833192009/1250000000 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) #s(literal 3321371254951887171/12500000000000000000 binary64))) #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x)))) (.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x)))) (.f64 x x))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -833192009/1250000000 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) #s(literal 3321371254951887171/12500000000000000000 binary64))) #s(literal -833192009/1250000000 binary64)) (.f64 x (.f64 x x)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (*.f64 x x)))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)) #s(literal 1/2 binary64)) x)
(* 1049934947/10000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 1049934947/10000000000 binary64)))
(* 1049934947/10000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 1049934947/10000000000 binary64)))
(* 1049934947/10000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 1049934947/10000000000 binary64)))
(* 1049934947/10000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 1049934947/10000000000 binary64)))
(* 1049934947/10000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 1049934947/10000000000 binary64)))
(* 1049934947/10000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 1049934947/10000000000 binary64)))
(* 1049934947/10000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 1049934947/10000000000 binary64)))
(* 1049934947/10000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 1049934947/10000000000 binary64)))
(* 1049934947/10000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 1049934947/10000000000 binary64)))
(* 1049934947/10000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 1049934947/10000000000 binary64)))
(* 1049934947/10000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 1049934947/10000000000 binary64)))
(* 1049934947/10000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 1049934947/10000000000 binary64)))
(* 7715471019/10000000000 (pow x 2))
(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))
(* 7715471019/10000000000 (pow x 2))
(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))
(* 7715471019/10000000000 (pow x 2))
(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))
(* 7715471019/10000000000 (pow x 2))
(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))
(* 7715471019/10000000000 (pow x 2))
(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))
(* 7715471019/10000000000 (pow x 2))
(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))
(* 7715471019/10000000000 (pow x 2))
(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))
(* 7715471019/10000000000 (pow x 2))
(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))
(* 7715471019/10000000000 (pow x 2))
(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))
(* 7715471019/10000000000 (pow x 2))
(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))
(* 7715471019/10000000000 (pow x 2))
(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))
(* 7715471019/10000000000 (pow x 2))
(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))

rewrite500.0ms (0.3%)

Memory

7.0MiB live, 528.7MiB allocated

Rules

7 952×	`lower-*.f32`
7 916×	`lower-*.f64`
6 738×	`lower-fma.f64`
6 738×	`lower-fma.f32`
2 898×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	638
0	76	446
1	304	310
2	3040	274
0	9946	232

Stop Event

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

Counts

8 → 495

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x)))))
(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)
(.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))
(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))

Outputs
(+.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) x)) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1789971/5000000000 binary64))))))
(+.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64))) (fma.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x) #s(literal 1 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) x) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) #s(literal 1789971/5000000000 binary64))))))
(+.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64))) (fma.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x) #s(literal 1 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 70002721/5000000000 binary64) (.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (.f64 (.f64 x x) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) #s(literal 1789971/5000000000 binary64)))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) x)) (+.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64))) (fma.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1789971/5000000000 binary64))))))
(+.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) x)) (fma.f64 (.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64))) #s(literal 1 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1789971/5000000000 binary64)))))
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eval180.0ms (0.1%)

Memory: -17.5MiB live, 214.7MiB allocated
Compiler: Compiled 148 799 to 2 945 computations (98% saved)

prune106.0ms (0.1%)

Memory

7.6MiB live, 197.6MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	580	10	590
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	581	10	591

Accuracy

100.0%

Counts

591 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.2%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64))) (fma.f64 (.f64 x x) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1789971/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) x)) (fma.f64 (.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))) #s(literal 1 binary64)))))
▶	56.6%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64))) x)
▶	55.9%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))) x)
▶	25.2%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x))) x)
	25.3%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)
▶	56.9%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
	45.6%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)) #s(literal 1/2 binary64)) x))
	45.7%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x))
	45.7%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
	45.9%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 506 to 210 computations (58.5% saved)

simplify489.0ms (0.3%)

Memory

24.3MiB live, 455.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
cost-diff	0	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x))
cost-diff	0	#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x)))
cost-diff	0	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x))) x)
cost-diff	0	(.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64)))
cost-diff	0	(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64))) x)
cost-diff	0	(*.f64 x #s(literal -833192009/1250000000 binary64))
cost-diff	0	(fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))) x)
cost-diff	0	#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64))
cost-diff	0	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
cost-diff	960	(fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) x)) (fma.f64 (.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))) #s(literal 1 binary64)))
cost-diff	1280	(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x))))) x))
cost-diff	1920	(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
cost-diff	2560	(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) #s(literal 1789971/5000000000 binary64)))

Rules

30 316×	`lower-fma.f32`
30 290×	`lower-fma.f64`
6 434×	`lower-+.f32`
6 430×	`lower-+.f64`
5 644×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	2194
0	151	1612
1	412	1170
2	1271	1026
3	4053	1007
4	5781	1007
5	5994	1007
6	6143	1007
7	6655	1007
8	6891	1007
9	6905	1007
0	8027	927

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64))) (fma.f64 (.f64 x x) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1789971/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) x)) (fma.f64 (.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))) #s(literal 1 binary64)))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64))) (fma.f64 (.f64 x x) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64)))))
x
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(*.f64 x #s(literal -833192009/1250000000 binary64))
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(*.f64 x x)
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Outputs
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(*.f64 x x)
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localize475.0ms (0.3%)

Memory

-62.2MiB live, 579.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
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accuracy	0.4358732189656145	(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
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accuracy	34.449652054255935	#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x)))
accuracy	0.109375	(.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64)))
accuracy	0.48046875	(*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64))
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accuracy	26.175843875331882	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64))) (fma.f64 (.f64 x x) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1789971/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) x)) (fma.f64 (.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))) #s(literal 1 binary64)))))

Samples

217.0ms

256×

valid

Compiler

Compiled 2 188 to 99 computations (95.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 188.0ms

ival-mult: 114.0ms (60.7% of total)

const: 41.0ms (21.8% of total)

ival-add: 27.0ms (14.4% of total)

ival-div: 6.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

series45.0ms (0%)

Memory

22.3MiB live, 65.9MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
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Outputs
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#s(alt (/ 600041/2386628 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) (patch (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 600041/2386628 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) (patch (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 600041/2386628 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) (patch (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 600041/2386628 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) (patch (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 600041/2386628 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) (patch (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 600041/2386628 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) (patch (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 600041/2386628 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) (patch (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 600041/2386628 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) (patch (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 600041/2386628 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) (patch (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 600041/2386628 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) (patch (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 600041/2386628 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) (patch (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 600041/2386628 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) (patch (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) #<representation binary64>) () ())) ())

Calls

72 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* x -833192009/1250000000)
1.0ms	x	@	0	(+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))
1.0ms	x	@	inf	(/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1))))
1.0ms	x	@	0	(+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))
0.0ms	x	@	inf	(* (* x x) 2909738639/10000000000)

simplify217.0ms (0.1%)

Memory

-7.3MiB live, 227.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 958×	`lower-fma.f64`
9 958×	`lower-fma.f32`
3 316×	`lower-*.f64`
3 316×	`lower-*.f32`
2 158×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	2608
1	389	2578
2	920	2568
3	2455	2552
4	5090	2552
5	7543	2552
0	8254	2450

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 283

Calls

Call 1

Inputs
(* 1665589/2000000000 (pow x 8))
(* (pow x 8) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))
(* (pow x 8) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))
(* (pow x 8) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))
(* 1789971/5000000000 (pow x 10))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* 1789971/5000000000 (pow x 10))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* 2532017/5000000000 (pow x 6))
(* (pow x 6) (+ 2532017/5000000000 (* 1789971/10000000000 (pow x 2))))
(* (pow x 6) (+ 2532017/5000000000 (* 1789971/10000000000 (pow x 2))))
(* (pow x 6) (+ 2532017/5000000000 (* 1789971/10000000000 (pow x 2))))
(* 1789971/10000000000 (pow x 8))
(* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(* 1789971/10000000000 (pow x 8))
(* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(* 694555761/10000000000 (pow x 4))
(* (pow x 4) (+ 694555761/10000000000 (* 70002721/5000000000 (pow x 2))))
(* (pow x 4) (+ 694555761/10000000000 (* 70002721/5000000000 (pow x 2))))
(* (pow x 4) (+ 694555761/10000000000 (* 70002721/5000000000 (pow x 2))))
(* 70002721/5000000000 (pow x 6))
(* (pow x 6) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(* 70002721/5000000000 (pow x 6))
(* (pow x 6) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
1
(+ 1 (* 7715471019/10000000000 (pow x 2)))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))))
(* 70002721/5000000000 (pow x 8))
(* (pow x 8) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (* 694555761/10000000000 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (+ (* 694555761/10000000000 (/ 1 (pow x 2))) (* 7715471019/10000000000 (/ 1 (pow x 6)))))))
(* 70002721/5000000000 (pow x 8))
(* (pow x 8) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (* 694555761/10000000000 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (+ (* 694555761/10000000000 (/ 1 (pow x 2))) (* 7715471019/10000000000 (/ 1 (pow x 6)))))))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
1
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
1
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
1
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* -833192009/1250000000 (pow x 2)))
(* -833192009/1250000000 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* -833192009/1250000000 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
1
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
1
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(* 3321371254951887171/12500000000000000000 (pow x 4))
(* (pow x 4) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* 3321371254951887171/12500000000000000000 (pow x 4))
(* (pow x 4) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* -833192009/1250000000 x)
(* x (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))
(* x (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))
(* x (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))
(* 3321371254951887171/12500000000000000000 (pow x 3))
(* (pow x 3) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* 3321371254951887171/12500000000000000000 (pow x 3))
(* -1 (* (pow x 3) (- (* 833192009/1250000000 (/ 1 (pow x 2))) 3321371254951887171/12500000000000000000)))
(* -1 (* (pow x 3) (- (* 833192009/1250000000 (/ 1 (pow x 2))) 3321371254951887171/12500000000000000000)))
(* -1 (* (pow x 3) (- (* 833192009/1250000000 (/ 1 (pow x 2))) 3321371254951887171/12500000000000000000)))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
1
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(/ 600041/2386628 (pow x 4))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 4))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 4))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 4))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
1/2
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
1/2
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1789971/10000000000 (pow x 2))
(* 1789971/10000000000 (pow x 2))
(* 1789971/10000000000 (pow x 2))
(* 1789971/10000000000 (pow x 2))
(* 1789971/10000000000 (pow x 2))
(* 1789971/10000000000 (pow x 2))
(* 1789971/10000000000 (pow x 2))
(* 1789971/10000000000 (pow x 2))
(* 1789971/10000000000 (pow x 2))
(* 1789971/10000000000 (pow x 2))
(* 1789971/10000000000 (pow x 2))
(* 1789971/10000000000 (pow x 2))
(* 3321371254951887171/12500000000000000000 x)
(* 3321371254951887171/12500000000000000000 x)
(* 3321371254951887171/12500000000000000000 x)
(* 3321371254951887171/12500000000000000000 x)
(* 3321371254951887171/12500000000000000000 x)
(* 3321371254951887171/12500000000000000000 x)
(* 3321371254951887171/12500000000000000000 x)
(* 3321371254951887171/12500000000000000000 x)
(* 3321371254951887171/12500000000000000000 x)
(* 3321371254951887171/12500000000000000000 x)
(* 3321371254951887171/12500000000000000000 x)
(* 3321371254951887171/12500000000000000000 x)
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))

Outputs
(* 1665589/2000000000 (pow x 8))
(.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))
(* (pow x 8) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)) #s(literal 1665589/2000000000 binary64)))
(* (pow x 8) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)) #s(literal 1665589/2000000000 binary64)))
(* (pow x 8) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)) #s(literal 1665589/2000000000 binary64)))
(* 1789971/5000000000 (pow x 10))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 x x)))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (.f64 x x)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (.f64 x x)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (.f64 x x)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))))
(* 1789971/5000000000 (pow x 10))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 x x)))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (.f64 x x)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (.f64 x x)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (.f64 x x)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))))
(* 2532017/5000000000 (pow x 6))
(.f64 #s(literal 2532017/5000000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 2532017/5000000000 (* 1789971/10000000000 (pow x 2))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64) #s(literal 2532017/5000000000 binary64)))
(* (pow x 6) (+ 2532017/5000000000 (* 1789971/10000000000 (pow x 2))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64) #s(literal 2532017/5000000000 binary64)))
(* (pow x 6) (+ 2532017/5000000000 (* 1789971/10000000000 (pow x 2))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64) #s(literal 2532017/5000000000 binary64)))
(* 1789971/10000000000 (pow x 8))
(.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 1789971/10000000000 binary64)))
(* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x))))
(* 1789971/10000000000 (pow x 8))
(.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 1789971/10000000000 binary64)))
(* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x))))
(* 694555761/10000000000 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))
(* (pow x 4) (+ 694555761/10000000000 (* 70002721/5000000000 (pow x 2))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64)))
(* (pow x 4) (+ 694555761/10000000000 (* 70002721/5000000000 (pow x 2))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64)))
(* (pow x 4) (+ 694555761/10000000000 (* 70002721/5000000000 (pow x 2))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64)))
(* 70002721/5000000000 (pow x 6))
(.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64))))
(* (pow x 6) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 70002721/5000000000 binary64) (/.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x x))))
(* (pow x 6) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 70002721/5000000000 binary64) (/.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x x))))
(* (pow x 6) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 70002721/5000000000 binary64) (/.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x x))))
(* 70002721/5000000000 (pow x 6))
(.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64))))
(* (pow x 6) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 70002721/5000000000 binary64) (/.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x x))))
(* (pow x 6) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 70002721/5000000000 binary64) (/.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x x))))
(* (pow x 6) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 70002721/5000000000 binary64) (/.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* 7715471019/10000000000 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))
(* 70002721/5000000000 (pow x 8))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal 70002721/5000000000 binary64))
(* (pow x 8) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (+.f64 #s(literal 70002721/5000000000 binary64) (/.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x x))))
(* (pow x 8) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (* 694555761/10000000000 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal 694555761/10000000000 binary64) (.f64 x x)) (+.f64 #s(literal 70002721/5000000000 binary64) (/.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 8) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (+ (* 694555761/10000000000 (/ 1 (pow x 2))) (* 7715471019/10000000000 (/ 1 (pow x 6)))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal 694555761/10000000000 binary64) (.f64 x x)) (+.f64 #s(literal 70002721/5000000000 binary64) (+.f64 (/.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))))
(* 70002721/5000000000 (pow x 8))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal 70002721/5000000000 binary64))
(* (pow x 8) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (+.f64 #s(literal 70002721/5000000000 binary64) (/.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x x))))
(* (pow x 8) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (* 694555761/10000000000 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal 694555761/10000000000 binary64) (.f64 x x)) (+.f64 #s(literal 70002721/5000000000 binary64) (/.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 8) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (+ (* 694555761/10000000000 (/ 1 (pow x 2))) (* 7715471019/10000000000 (/ 1 (pow x 6)))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal 694555761/10000000000 binary64) (.f64 x x)) (+.f64 #s(literal 70002721/5000000000 binary64) (+.f64 (/.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) #s(literal 3321371254951887171/12500000000000000000 binary64))) #s(literal -833192009/1250000000 binary64)) (.f64 x (.f64 x x)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal -600041/2386628 binary64) (/.f64 (+.f64 #s(literal -1307076337763/8543989815576 binary64) (/.f64 #s(literal -344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (*.f64 x x))) #s(literal 1/2 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -833192009/1250000000 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
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(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))

rewrite379.0ms (0.3%)

Memory

28.0MiB live, 448.9MiB allocated

Rules

9 416×	`lower-fma.f32`
9 390×	`lower-fma.f64`
5 148×	`lower-*.f32`
5 104×	`lower-*.f64`
2 940×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	1764
0	151	1156
1	790	868
2	6888	868
0	8015	798

Stop Event

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

Counts

24 → 454

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) #s(literal 1789971/5000000000 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x))))) x))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) x)) (fma.f64 (.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))) #s(literal 1 binary64)))
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64))
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))) x)
#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -833192009/1250000000 binary64))
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64))) x)
#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64))
(.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64)))
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x))) x)
#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64))) (fma.f64 (.f64 x x) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1789971/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) x)) (fma.f64 (.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))) #s(literal 1 binary64)))))
(.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64))
(.f64 x (.f64 x x))
(.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x))
(*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))

Outputs
(+.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64)))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64)))) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 2774186716921/4000000000000000000 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64)))) (.f64 #s(literal -1789971/5000000000 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))))) (/.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) #s(literal 3203996180841/25000000000000000000 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64)))) (.f64 #s(literal -1789971/5000000000 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))))))
(fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (*.f64 x #s(literal 1665589/2000000000 binary64)))))
(fma.f64 x (.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (*.f64 x #s(literal 1665589/2000000000 binary64)))))
(fma.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64)))) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
(fma.f64 x (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1665589/2000000000 binary64)) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
(fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64))) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (*.f64 x #s(literal 1665589/2000000000 binary64)))))
(fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (*.f64 x #s(literal 1665589/2000000000 binary64)))))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (*.f64 x #s(literal 1665589/2000000000 binary64)))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64)) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (*.f64 x #s(literal 1665589/2000000000 binary64)))))
(fma.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
(fma.f64 #s(literal 1789971/5000000000 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (*.f64 x #s(literal 1665589/2000000000 binary64)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (*.f64 x #s(literal 1665589/2000000000 binary64)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1665589/2000000000 binary64)) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1665589/2000000000 binary64) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (*.f64 x #s(literal 1665589/2000000000 binary64)))))
(fma.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (*.f64 x #s(literal 1665589/2000000000 binary64)))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1665589/2000000000 binary64)) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (*.f64 x #s(literal 1665589/2000000000 binary64)))))
(fma.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x #s(literal 1665589/2000000000 binary64)) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64))) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (*.f64 x #s(literal 1665589/2000000000 binary64)))))
(fma.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (.f64 x #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (*.f64 x #s(literal 1665589/2000000000 binary64)))))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64))) (.f64 x x) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
(fma.f64 (.f64 #s(literal 1665589/2000000000 binary64) x) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
(fma.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
(fma.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
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eval152.0ms (0.1%)

Memory: -16.1MiB live, 172.0MiB allocated
Compiler: Compiled 85 055 to 2 172 computations (97.4% saved)

prune1.4s (1%)

Memory

71.8MiB live, 2 798.4MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	850	6	856
Fresh	5	0	5
Picked	1	4	5
Done	0	0	0
Total	856	10	866

Accuracy

100.0%

Counts

866 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.2%	(/.f64 (.f64 x (fma.f64 x (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x (.f64 x x)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))) (fma.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 x (.f64 x #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))))
✓	56.6%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64))) x)
✓	55.9%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))) x)
✓	25.2%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x))) x)
▶	25.3%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 #s(approx (+ 1/2 (/ 600041/2386628 (* x x))) #s(literal 1/2 binary64)) (*.f64 x x))) x)
✓	56.9%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
	45.6%	#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal -600041/2386628 binary64) (/.f64 (+.f64 #s(literal -1307076337763/8543989815576 binary64) (/.f64 #s(literal -344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (*.f64 x x))) #s(literal 1/2 binary64)) x))
▶	45.7%	#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x))
▶	45.7%	#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
▶	45.9%	#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 413 to 196 computations (52.5% saved)

simplify392.0ms (0.3%)

Memory

54.7MiB live, 656.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))
cost-diff	0	(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x)))
cost-diff	0	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x)
cost-diff	0	#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x))
cost-diff	0	(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
cost-diff	0	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
cost-diff	0	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
cost-diff	0	#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
cost-diff	0	#s(approx (+ 1/2 (/ 600041/2386628 (* x x))) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 #s(approx (+ 1/2 (/ 600041/2386628 (* x x))) #s(literal 1/2 binary64)) (*.f64 x x))
cost-diff	0	#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 #s(approx (+ 1/2 (/ 600041/2386628 (* x x))) #s(literal 1/2 binary64)) (*.f64 x x)))
cost-diff	0	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 #s(approx (+ 1/2 (/ 600041/2386628 (* x x))) #s(literal 1/2 binary64)) (*.f64 x x))) x)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 #s(literal 1/2 binary64) x))
cost-diff	960	(fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))
cost-diff	960	(fma.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))
cost-diff	1280	(fma.f64 x (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x (.f64 x x)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))
cost-diff	2560	(fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (*.f64 x #s(literal 1665589/2000000000 binary64)))))

Rules

33 412×	`lower-fma.f32`
33 390×	`lower-fma.f64`
5 092×	`lower-+.f32`
5 086×	`lower-+.f64`
4 556×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	1627
0	204	1188
1	587	956
2	1680	884
3	4974	875
4	5017	873
5	5027	873
6	5032	873
7	5032	873
8	7928	873
0	8320	830

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 x (fma.f64 x (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x (.f64 x x)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))) (fma.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 x (.f64 x #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))))
(.f64 x (fma.f64 x (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x (.f64 x x)) (*.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))
x
(fma.f64 x (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x (.f64 x x)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64)))
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(*.f64 x x)
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(fma.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))
(*.f64 x #s(literal 1789971/10000000000 binary64))
#s(literal 1789971/10000000000 binary64)
#s(literal 2532017/5000000000 binary64)
(fma.f64 (.f64 x x) (fma.f64 x (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x (.f64 x x)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x (.f64 x x)) (*.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64))
(fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x (.f64 x x)) (*.f64 x #s(literal 106015151/2500000000 binary64)))
#s(literal 36322091/5000000000 binary64)
(*.f64 x #s(literal 106015151/2500000000 binary64))
#s(literal 106015151/2500000000 binary64)
#s(literal 1049934947/10000000000 binary64)
#s(literal 1 binary64)
(fma.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))
(.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64))))))
(fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (*.f64 x #s(literal 1665589/2000000000 binary64)))))
(.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (*.f64 x #s(literal 1789971/5000000000 binary64))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(*.f64 x #s(literal 1789971/5000000000 binary64))
#s(literal 1789971/5000000000 binary64)
(.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64)))
(*.f64 x #s(literal 1665589/2000000000 binary64))
#s(literal 1665589/2000000000 binary64)
(fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 x (.f64 x #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64)))
(fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))
(.f64 (.f64 x (*.f64 x x)) #s(literal 70002721/5000000000 binary64))
#s(literal 70002721/5000000000 binary64)
(.f64 x (.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64)))
(.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64))
#s(literal 694555761/10000000000 binary64)
(fma.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))
(*.f64 x #s(literal 2909738639/10000000000 binary64))
#s(literal 2909738639/10000000000 binary64)
#s(literal 7715471019/10000000000 binary64)
#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
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Outputs
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(*.f64 x x)
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#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
#s(literal 1/2 binary64)
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
#s(literal 600041/2386628 binary64)
(*.f64 x x)
x
#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x)))
#s(literal 1/2 binary64)
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))
(+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)))
#s(literal 600041/2386628 binary64)
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
#s(literal 1307076337763/8543989815576 binary64)
(*.f64 x x)
x

localize434.0ms (0.3%)

Memory

-54.1MiB live, 626.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x)
accuracy	0.3365957287340565	(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))
accuracy	0.42408411131111157	(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
accuracy	34.767250056258995	#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x))
accuracy	0	(*.f64 x x)
accuracy	0.0625	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
accuracy	0.4358732189656145	(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
accuracy	34.74646056219472	#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
accuracy	0.26326964261633995	(/.f64 #s(approx (+ 1/2 (/ 600041/2386628 (* x x))) #s(literal 1/2 binary64)) (*.f64 x x))
accuracy	12.828475836262935	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 #s(approx (+ 1/2 (/ 600041/2386628 (* x x))) #s(literal 1/2 binary64)) (*.f64 x x))) x)
accuracy	34.4352054371246	#s(approx (+ 1/2 (/ 600041/2386628 (* x x))) #s(literal 1/2 binary64))
accuracy	34.449652054255935	#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 #s(approx (+ 1/2 (/ 600041/2386628 (* x x))) #s(literal 1/2 binary64)) (*.f64 x x)))
accuracy	0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	34.611045293573056	#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 #s(literal 1/2 binary64) x))
accuracy	0.14910126953688402	(.f64 (.f64 x (*.f64 x x)) #s(literal 70002721/5000000000 binary64))
accuracy	0.29296875	(*.f64 x #s(literal 1665589/2000000000 binary64))
accuracy	0.3828125	(*.f64 x #s(literal 2909738639/10000000000 binary64))
accuracy	26.175843875331882	(/.f64 (.f64 x (fma.f64 x (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x (.f64 x x)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))) (fma.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 x (.f64 x #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))))

Samples

298.0ms

256×

valid

Compiler

Compiled 1 618 to 136 computations (91.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 267.0ms

const: 108.0ms (40.5% of total)

ival-mult: 101.0ms (37.8% of total)

ival-add: 42.0ms (15.7% of total)

ival-div: 15.0ms (5.6% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0%)

Memory

3.3MiB live, 49.4MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#s(alt (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x (.f64 x x)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (patch (fma.f64 x (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x (.f64 x x)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 x (.f64 x #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))) (patch (fma.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 x (.f64 x #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (patch (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 #s(approx (+ 1/2 (/ 600041/2386628 (* x x))) #s(literal 1/2 binary64)) (.f64 x x))) x) (patch (.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 #s(approx (+ 1/2 (/ 600041/2386628 (* x x))) #s(literal 1/2 binary64)) (*.f64 x x))) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 #s(approx (+ 1/2 (/ 600041/2386628 (* x x))) #s(literal 1/2 binary64)) (.f64 x x))) (patch #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 #s(approx (+ 1/2 (/ 600041/2386628 (* x x))) #s(literal 1/2 binary64)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ 1/2 (/ 600041/2386628 (* x x))) #s(literal 1/2 binary64)) (.f64 x x)) (patch (/.f64 #s(approx (+ 1/2 (/ 600041/2386628 ( x x))) #s(literal 1/2 binary64)) (*.f64 x x)) #<representation binary64>) () ())
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#s(alt (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (patch (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) #<representation binary64>) () ())
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#s(alt #s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x)) (patch #s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x) (patch (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x) #<representation binary64>) () ())
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Outputs
#s(alt (* 1665589/2000000000 (pow x 8)) (taylor 0 x) (#s(alt (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1789971/5000000000 (pow x 10)) (taylor inf x) (#s(alt (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1789971/5000000000 (pow x 10)) (taylor -inf x) (#s(alt (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 x (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x (.f64 x x)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (patch (fma.f64 x (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x (.f64 x x)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1049934947/10000000000 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x (.f64 x x)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (patch (fma.f64 x (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x (.f64 x x)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 1665589/2000000000 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1665589/2000000000 binary64)) (patch (.f64 x #s(literal 1665589/2000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1665589/2000000000 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1665589/2000000000 binary64)) (patch (.f64 x #s(literal 1665589/2000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1665589/2000000000 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1665589/2000000000 binary64)) (patch (.f64 x #s(literal 1665589/2000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 70002721/5000000000 (pow x 3)) (taylor 0 x) (#s(alt (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) (patch (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 70002721/5000000000 (pow x 3)) (taylor 0 x) (#s(alt (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) (patch (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 70002721/5000000000 (pow x 3)) (taylor 0 x) (#s(alt (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) (patch (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 70002721/5000000000 (pow x 3)) (taylor 0 x) (#s(alt (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) (patch (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 70002721/5000000000 (pow x 3)) (taylor inf x) (#s(alt (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) (patch (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 70002721/5000000000 (pow x 3)) (taylor inf x) (#s(alt (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) (patch (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 70002721/5000000000 (pow x 3)) (taylor inf x) (#s(alt (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) (patch (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 70002721/5000000000 (pow x 3)) (taylor inf x) (#s(alt (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) (patch (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 70002721/5000000000 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) (patch (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 70002721/5000000000 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) (patch (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 70002721/5000000000 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) (patch (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 70002721/5000000000 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) (patch (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (/ 1307076337763/8543989815576 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1307076337763/8543989815576 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1307076337763/8543989815576 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1307076337763/8543989815576 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1307076337763/8543989815576 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1307076337763/8543989815576 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1307076337763/8543989815576 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1307076337763/8543989815576 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1307076337763/8543989815576 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1307076337763/8543989815576 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1307076337763/8543989815576 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1307076337763/8543989815576 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) #<representation binary64>) () ())) ())

Calls

72 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ (+ 1/2 (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x))) x)
1.0ms	x	@	inf	(+ (* (* x x) (* (* x (* x x)) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))
0.0ms	x	@	0	(+ (* (* x x) (* (* x (* x x)) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))
0.0ms	x	@	0	(/ (* x (+ (* x (* x (* (* (* x x) (* x (* x (* x x)))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000)))) (+ (* (* x x) (+ (* x (+ (* 36322091/5000000000 (* x (* x x))) (* x 106015151/2500000000))) 1049934947/10000000000)) 1))) (+ (* x (* x (+ (* x (* (* x (* x x)) (* (* x (* x (* x (* x x)))) (* x 1789971/5000000000)))) (* (* x x) (* (* x (* x (* x (* x x)))) (* x 1665589/2000000000)))))) (+ (* (* x x) (+ (* x (+ (* (* x x) (* (* x (* x x)) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* x (* x 2909738639/10000000000)) 7715471019/10000000000))) 1)))
0.0ms	x	@	-inf	(* (* x (* x x)) 70002721/5000000000)

simplify227.0ms (0.2%)

Memory

30.8MiB live, 220.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 372×	`lower-fma.f64`
9 372×	`lower-fma.f32`
3 492×	`lower-*.f64`
3 492×	`lower-*.f32`
2 290×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	2470
1	432	2440
2	1027	2430
3	2680	2430
4	4729	2430
5	6702	2430
0	8039	2351

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 283

Calls

Call 1

Inputs
(* 1665589/2000000000 (pow x 8))
(* (pow x 8) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))
(* (pow x 8) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))
(* (pow x 8) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))
(* 1789971/5000000000 (pow x 10))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* 1789971/5000000000 (pow x 10))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
1
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))))))
(* 1789971/10000000000 (pow x 10))
(* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
(* 1789971/10000000000 (pow x 10))
(* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
1
(+ 1 (* 7715471019/10000000000 (pow x 2)))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))))
(* 1789971/5000000000 (pow x 12))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(* 1789971/5000000000 (pow x 12))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(* 694555761/10000000000 (pow x 3))
(* (pow x 3) (+ 694555761/10000000000 (* 70002721/5000000000 (pow x 2))))
(* (pow x 3) (+ 694555761/10000000000 (* 70002721/5000000000 (pow x 2))))
(* (pow x 3) (+ 694555761/10000000000 (* 70002721/5000000000 (pow x 2))))
(* 70002721/5000000000 (pow x 5))
(* (pow x 5) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(* 70002721/5000000000 (pow x 5))
(* (pow x 5) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 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
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
1
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(/ 600041/2386628 (pow x 4))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 4))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 4))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 4))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
1/2
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
1/2
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/ 600041/2386628 (pow x 3))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ 600041/2386628 (pow x 2))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
1/2
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
1/2
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/ 1307076337763/8543989815576 (pow x 5))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 5))
(/ (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))) (pow x 5))
(/ (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))) (pow x 5))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/ 1307076337763/8543989815576 (pow x 4))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 4))
(/ (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))) (pow x 4))
(/ (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))) (pow x 4))
1/2
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))
(/ 1307076337763/8543989815576 (pow x 4))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 4))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 4))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 4))
(/ 600041/2386628 (pow x 2))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 1665589/2000000000 x)
(* 1665589/2000000000 x)
(* 1665589/2000000000 x)
(* 1665589/2000000000 x)
(* 1665589/2000000000 x)
(* 1665589/2000000000 x)
(* 1665589/2000000000 x)
(* 1665589/2000000000 x)
(* 1665589/2000000000 x)
(* 1665589/2000000000 x)
(* 1665589/2000000000 x)
(* 1665589/2000000000 x)
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))

Outputs
(* 1665589/2000000000 (pow x 8))
(*.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)) #s(literal 1665589/2000000000 binary64)))
(* (pow x 8) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)) #s(literal 1665589/2000000000 binary64)))
(* (pow x 8) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)) #s(literal 1665589/2000000000 binary64)))
(* 1789971/5000000000 (pow x 10))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x))))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x))))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x))))
(* 1789971/5000000000 (pow x 10))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x))))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x))))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))
(* 1789971/10000000000 (pow x 10))
(*.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64))
(* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (.f64 x x))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1789971/10000000000 binary64) (+.f64 (/.f64 #s(literal 2532017/5000000000 binary64) (.f64 x x)) (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 2532017/5000000000 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(* 1789971/10000000000 (pow x 10))
(*.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64))
(* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (.f64 x x))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1789971/10000000000 binary64) (+.f64 (/.f64 #s(literal 2532017/5000000000 binary64) (.f64 x x)) (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 2532017/5000000000 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 x (.f64 x (.f64 x x))))))))
1
#s(literal 1 binary64)
(+ 1 (* 7715471019/10000000000 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 7715471019/10000000000 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64) #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))
(* 1789971/5000000000 (pow x 12))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x))) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (/.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))))
(* 1789971/5000000000 (pow x 12))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x))) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (/.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))))
(* 694555761/10000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64)))
(* (pow x 3) (+ 694555761/10000000000 (* 70002721/5000000000 (pow x 2))))
(.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 70002721/5000000000 binary64) #s(literal 694555761/10000000000 binary64)))))
(* (pow x 3) (+ 694555761/10000000000 (* 70002721/5000000000 (pow x 2))))
(.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 70002721/5000000000 binary64) #s(literal 694555761/10000000000 binary64)))))
(* (pow x 3) (+ 694555761/10000000000 (* 70002721/5000000000 (pow x 2))))
(.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 70002721/5000000000 binary64) #s(literal 694555761/10000000000 binary64)))))
(* 70002721/5000000000 (pow x 5))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))
(* (pow x 5) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 70002721/5000000000 binary64) (/.f64 #s(literal 694555761/10000000000 binary64) (.f64 x x))))
(* (pow x 5) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 70002721/5000000000 binary64) (/.f64 #s(literal 694555761/10000000000 binary64) (.f64 x x))))
(* (pow x 5) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 70002721/5000000000 binary64) (/.f64 #s(literal 694555761/10000000000 binary64) (.f64 x x))))
(* 70002721/5000000000 (pow x 5))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))
(* (pow x 5) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 70002721/5000000000 binary64) (/.f64 #s(literal 694555761/10000000000 binary64) (.f64 x x))))
(* (pow x 5) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 70002721/5000000000 binary64) (/.f64 #s(literal 694555761/10000000000 binary64) (.f64 x x))))
(* (pow x 5) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 70002721/5000000000 binary64) (/.f64 #s(literal 694555761/10000000000 binary64) (.f64 x x))))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -833192009/1250000000 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64)) x)
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(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
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(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
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(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x)))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x)))
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(/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 4))
(/.f64 (fma.f64 (.f64 x x) #s(literal 600041/2386628 binary64) #s(literal 1307076337763/8543989815576 binary64)) (.f64 x (.f64 x (.f64 x x))))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 4))
(/.f64 (fma.f64 (.f64 x x) #s(literal 600041/2386628 binary64) #s(literal 1307076337763/8543989815576 binary64)) (.f64 x (.f64 x (.f64 x x))))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 4))
(/.f64 (fma.f64 (.f64 x x) #s(literal 600041/2386628 binary64) #s(literal 1307076337763/8543989815576 binary64)) (.f64 x (.f64 x (.f64 x x))))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))
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(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -833192009/1250000000 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (*.f64 x x)))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)) #s(literal 1/2 binary64)) x)
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 1665589/2000000000 x)
(*.f64 #s(literal 1665589/2000000000 binary64) x)
(* 1665589/2000000000 x)
(*.f64 #s(literal 1665589/2000000000 binary64) x)
(* 1665589/2000000000 x)
(*.f64 #s(literal 1665589/2000000000 binary64) x)
(* 1665589/2000000000 x)
(*.f64 #s(literal 1665589/2000000000 binary64) x)
(* 1665589/2000000000 x)
(*.f64 #s(literal 1665589/2000000000 binary64) x)
(* 1665589/2000000000 x)
(*.f64 #s(literal 1665589/2000000000 binary64) x)
(* 1665589/2000000000 x)
(*.f64 #s(literal 1665589/2000000000 binary64) x)
(* 1665589/2000000000 x)
(*.f64 #s(literal 1665589/2000000000 binary64) x)
(* 1665589/2000000000 x)
(*.f64 #s(literal 1665589/2000000000 binary64) x)
(* 1665589/2000000000 x)
(*.f64 #s(literal 1665589/2000000000 binary64) x)
(* 1665589/2000000000 x)
(*.f64 #s(literal 1665589/2000000000 binary64) x)
(* 1665589/2000000000 x)
(*.f64 #s(literal 1665589/2000000000 binary64) x)
(* 70002721/5000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))
(* 70002721/5000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))
(* 70002721/5000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))
(* 70002721/5000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))
(* 70002721/5000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))
(* 70002721/5000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))
(* 70002721/5000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))
(* 70002721/5000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))
(* 70002721/5000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))
(* 70002721/5000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))
(* 70002721/5000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))
(* 70002721/5000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))

rewrite399.0ms (0.3%)

Memory

14.3MiB live, 480.4MiB allocated

Rules

12 890×	`lower-fma.f32`
12 868×	`lower-fma.f64`
6 498×	`lower-*.f32`
6 454×	`lower-*.f64`
2 786×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	1242
0	204	825
1	1150	673
0	8663	615

Stop Event

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

Counts

24 → 613

Calls

Call 1

Inputs
(fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (*.f64 x #s(literal 1665589/2000000000 binary64)))))
(fma.f64 x (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x (.f64 x x)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))
#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 #s(approx (+ 1/2 (/ 600041/2386628 (* x x))) #s(literal 1/2 binary64)) (*.f64 x x))) x)
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(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
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(*.f64 x #s(literal 2909738639/10000000000 binary64))
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(.f64 (.f64 x (*.f64 x x)) #s(literal 70002721/5000000000 binary64))
(*.f64 x x)
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))

Outputs
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(.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (fma.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x) #s(literal 2532017/5000000000 binary64))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)))))) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)))))) (.f64 x #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (fma.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x) #s(literal 2532017/5000000000 binary64))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)))))) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)))))) (.f64 x #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))))
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(*.f64 #s(literal 2909738639/10000000000 binary64) x)
(*.f64 x #s(literal 1665589/2000000000 binary64))
(*.f64 #s(literal 1665589/2000000000 binary64) x)
(.f64 x (.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))
(.f64 (.f64 x (*.f64 x x)) #s(literal 70002721/5000000000 binary64))
(.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 70002721/5000000000 binary64)))
(.f64 (.f64 #s(literal 70002721/5000000000 binary64) x) (*.f64 x x))
(.f64 (.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x x)) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1307076337763/8543989815576 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 8543989815576/1307076337763 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 8543989815576/1307076337763 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1307076337763/8543989815576 binary64) x)))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 #s(literal -1307076337763/8543989815576 binary64) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 8543989815576/1307076337763 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) x)) (neg.f64 x))
(pow.f64 (.f64 (.f64 x x) #s(literal 8543989815576/1307076337763 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)))
(.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal -1307076337763/8543989815576 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x x))))
(*.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) x) (/.f64 #s(literal 1 binary64) x))

eval239.0ms (0.2%)

Memory: -63.3MiB live, 267.7MiB allocated
Compiler: Compiled 104 799 to 2 896 computations (97.2% saved)

prune1.3s (0.9%)

Memory

68.2MiB live, 2 613.9MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	1 133	3	1 136
Fresh	1	0	1
Picked	1	4	5
Done	1	3	4
Total	1 136	10	1 146

Accuracy

100.0%

Counts

1 146 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.6%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64))) x)
✓	55.9%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))) x)
✓	25.3%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 #s(approx (+ 1/2 (/ 600041/2386628 (* x x))) #s(literal 1/2 binary64)) (*.f64 x x))) x)
✓	56.9%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
▶	58.2%	(.f64 x (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (fma.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x) #s(literal 2532017/5000000000 binary64))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)))))) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)))))) (*.f64 x #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))))
▶	45.6%	#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)) #s(literal 1/2 binary64)) x))
✓	45.7%	#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x))
✓	45.7%	#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
✓	45.9%	#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 #s(literal 1/2 binary64) x))
▶	16.7%	#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) #s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x)))))

Compiler

Compiled 215 to 109 computations (49.3% saved)

simplify328.0ms (0.2%)

Memory

14.4MiB live, 386.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	640	(fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))))
cost-diff	960	(fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)))))) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)))))) (*.f64 x #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64)))
cost-diff	1280	(fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (fma.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x) #s(literal 2532017/5000000000 binary64))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (*.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)))
cost-diff	2240	(fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff	0	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)) #s(literal 1/2 binary64)) x))
cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))
cost-diff	0	(/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x)))
cost-diff	0	#s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x))))
cost-diff	0	#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) #s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x)))))

Rules

22 186×	`lower-fma.f32`
22 160×	`lower-fma.f64`
5 068×	`lower-+.f32`
5 064×	`lower-+.f64`
5 002×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	1146
0	167	1059
1	443	812
2	1496	728
3	3308	724
4	5474	724
5	5702	724
6	5875	724
7	6181	724
8	6443	724
9	7250	724
0	8038	689

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) #s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x)))))
#s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x))))
(/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 600041/2386628 binary64)
(.f64 x (.f64 x x))
#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)) #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x x)) #s(literal 600041/2386628 binary64))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x x))
(+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x)))
#s(literal 1307076337763/8543989815576 binary64)
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
#s(literal 344398180852034095277/30586987988352776592 binary64)
#s(literal 600041/2386628 binary64)
#s(literal 1/2 binary64)
(.f64 x (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (fma.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x) #s(literal 2532017/5000000000 binary64))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)))))) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)))))) (*.f64 x #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))))
x
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (fma.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x) #s(literal 2532017/5000000000 binary64))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)))))) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)))))) (.f64 x #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (fma.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x) #s(literal 2532017/5000000000 binary64))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (fma.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x) #s(literal 2532017/5000000000 binary64))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (*.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (fma.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x) #s(literal 2532017/5000000000 binary64)))
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(fma.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x x) #s(literal 2532017/5000000000 binary64))
#s(literal 1789971/10000000000 binary64)
#s(literal 2532017/5000000000 binary64)
(fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (*.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64))
(fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (*.f64 x #s(literal 106015151/2500000000 binary64)))
(.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64))
#s(literal 36322091/5000000000 binary64)
(*.f64 x #s(literal 106015151/2500000000 binary64))
#s(literal 106015151/2500000000 binary64)
#s(literal 1049934947/10000000000 binary64)
#s(literal 1 binary64)
(fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)))))) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)))))) (.f64 x #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)))))) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)))))) (*.f64 x #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64)))
(fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64)))
(.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64))
#s(literal 1665589/2000000000 binary64)
(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))))
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))
(.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)))
(*.f64 x #s(literal 1789971/5000000000 binary64))
#s(literal 1789971/5000000000 binary64)
(fma.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)))))) (.f64 x #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64))
(fma.f64 x (fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)))))) (.f64 x #s(literal 2909738639/10000000000 binary64)))
(fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))))
(*.f64 x #s(literal 694555761/10000000000 binary64))
#s(literal 694555761/10000000000 binary64)
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)))))
(.f64 x (.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))
(.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)))
(*.f64 x #s(literal 70002721/5000000000 binary64))
#s(literal 70002721/5000000000 binary64)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
#s(literal 2909738639/10000000000 binary64)
#s(literal 7715471019/10000000000 binary64)

Outputs
#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) #s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x)))))
#s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x))))
(/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 600041/2386628 binary64)
(.f64 x (.f64 x x))
#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)) #s(literal 1/2 binary64)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x x)) #s(literal 600041/2386628 binary64))
(+.f64 #s(literal 600041/2386628 binary64) (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x x)))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x x))
(+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x)))
#s(literal 1307076337763/8543989815576 binary64)
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
#s(literal 344398180852034095277/30586987988352776592 binary64)
#s(literal 600041/2386628 binary64)
#s(literal 1/2 binary64)
(.f64 x (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (fma.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x) #s(literal 2532017/5000000000 binary64))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)))))) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)))))) (*.f64 x #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))))
(/.f64 (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64)) #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64))) x) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)) #s(literal 1665589/2000000000 binary64)))) (fma.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64)))) (*.f64 x #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))
x
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (fma.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x) #s(literal 2532017/5000000000 binary64))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)))))) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)))))) (.f64 x #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64)) #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)) #s(literal 1665589/2000000000 binary64)))) (fma.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64)))) (.f64 x #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (fma.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x) #s(literal 2532017/5000000000 binary64))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64)) #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))
(*.f64 x x)
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(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64)) #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (fma.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x) #s(literal 2532017/5000000000 binary64)))
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(fma.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x x) #s(literal 2532017/5000000000 binary64))
(fma.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))
#s(literal 1789971/10000000000 binary64)
#s(literal 2532017/5000000000 binary64)
(fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (*.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64))
(fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (*.f64 x #s(literal 106015151/2500000000 binary64)))
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#s(literal 36322091/5000000000 binary64)
(*.f64 x #s(literal 106015151/2500000000 binary64))
#s(literal 106015151/2500000000 binary64)
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#s(literal 1 binary64)
(fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)))))) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)))))) (.f64 x #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)) #s(literal 1665589/2000000000 binary64)))) (fma.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64)))) (*.f64 x #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)))))) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)))))) (*.f64 x #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64)))
(fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)) #s(literal 1665589/2000000000 binary64)))) (fma.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64)))) (.f64 x #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64))
(fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)) #s(literal 1665589/2000000000 binary64)))
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(.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
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(.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)))
(.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64))
(*.f64 x #s(literal 1789971/5000000000 binary64))
#s(literal 1789971/5000000000 binary64)
(fma.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)))))) (.f64 x #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64)) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))
(fma.f64 x (fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)))))) (.f64 x #s(literal 2909738639/10000000000 binary64)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64)) #s(literal 2909738639/10000000000 binary64)))
(fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64))))
(*.f64 x #s(literal 694555761/10000000000 binary64))
#s(literal 694555761/10000000000 binary64)
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)))))
(.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 x (.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))
(.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (*.f64 x x)))
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(.f64 (.f64 x x) #s(literal 70002721/5000000000 binary64))
(*.f64 x #s(literal 70002721/5000000000 binary64))
#s(literal 70002721/5000000000 binary64)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
#s(literal 2909738639/10000000000 binary64)
#s(literal 7715471019/10000000000 binary64)

localize341.0ms (0.2%)

Memory

-54.6MiB live, 406.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.2734375	(*.f64 x #s(literal 70002721/5000000000 binary64))
accuracy	0.3828125	(*.f64 x #s(literal 2909738639/10000000000 binary64))
accuracy	12.828475836262935	(.f64 x (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (fma.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x) #s(literal 2532017/5000000000 binary64))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)))))) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)))))) (*.f64 x #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))))
accuracy	26.271494266804186	(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (fma.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x) #s(literal 2532017/5000000000 binary64))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)))))) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)))))) (.f64 x #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))
accuracy	0.30623839261601826	(/.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy	0.32023660154266953	(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x x))
accuracy	0.40384000657827474	(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
accuracy	34.78902033037881	#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)) #s(literal 1/2 binary64)) x))
accuracy	0.0078125	(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))
accuracy	0.109375	(.f64 x (.f64 x x))
accuracy	18.451596370351414	(/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x)))
accuracy	34.74646056219472	#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) #s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x)))))

Samples

213.0ms

256×

valid

Compiler

Compiled 1 147 to 108 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 182.0ms

ival-mult: 72.0ms (39.5% of total)

const: 71.0ms (39% of total)

ival-add: 25.0ms (13.7% of total)

ival-div: 13.0ms (7.1% of total)

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

exact: 0.0ms (0% of total)

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

series24.0ms (0%)

Memory

39.3MiB live, 39.3MiB allocated

Counts

19 → 228

Calls

Call 1

Inputs
#s(alt #s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) #s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (.f64 x x))))) (patch #s(approx (/ ( x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) #s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (.f64 x x)))) (patch #s(approx (/ (+ 1/2 (/ 600041/2386628 ( x x))) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (.f64 x x))) (patch (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (.f64 x x))) #<representation binary64>) () ())
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Outputs
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#s(alt (* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x)) (taylor -inf x) (#s(alt (.f64 x (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (fma.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x) #s(literal 2532017/5000000000 binary64))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)))))) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)))))) (.f64 x #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))) (patch (.f64 x (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (fma.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x) #s(literal 2532017/5000000000 binary64))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)))))) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)))))) (.f64 x #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 2909738639/10000000000 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2909738639/10000000000 binary64)) (patch (.f64 x #s(literal 2909738639/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2909738639/10000000000 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2909738639/10000000000 binary64)) (patch (.f64 x #s(literal 2909738639/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2909738639/10000000000 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2909738639/10000000000 binary64)) (patch (.f64 x #s(literal 2909738639/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2909738639/10000000000 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2909738639/10000000000 binary64)) (patch (.f64 x #s(literal 2909738639/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2909738639/10000000000 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2909738639/10000000000 binary64)) (patch (.f64 x #s(literal 2909738639/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2909738639/10000000000 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2909738639/10000000000 binary64)) (patch (.f64 x #s(literal 2909738639/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2909738639/10000000000 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2909738639/10000000000 binary64)) (patch (.f64 x #s(literal 2909738639/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2909738639/10000000000 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2909738639/10000000000 binary64)) (patch (.f64 x #s(literal 2909738639/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2909738639/10000000000 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2909738639/10000000000 binary64)) (patch (.f64 x #s(literal 2909738639/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2909738639/10000000000 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2909738639/10000000000 binary64)) (patch (.f64 x #s(literal 2909738639/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2909738639/10000000000 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2909738639/10000000000 binary64)) (patch (.f64 x #s(literal 2909738639/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2909738639/10000000000 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2909738639/10000000000 binary64)) (patch (.f64 x #s(literal 2909738639/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 70002721/5000000000 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 70002721/5000000000 binary64)) (patch (.f64 x #s(literal 70002721/5000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 70002721/5000000000 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 70002721/5000000000 binary64)) (patch (.f64 x #s(literal 70002721/5000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 70002721/5000000000 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 70002721/5000000000 binary64)) (patch (.f64 x #s(literal 70002721/5000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 70002721/5000000000 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 70002721/5000000000 binary64)) (patch (.f64 x #s(literal 70002721/5000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 70002721/5000000000 x) (taylor inf x) (#s(alt (.f64 x #s(literal 70002721/5000000000 binary64)) (patch (.f64 x #s(literal 70002721/5000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 70002721/5000000000 x) (taylor inf x) (#s(alt (.f64 x #s(literal 70002721/5000000000 binary64)) (patch (.f64 x #s(literal 70002721/5000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 70002721/5000000000 x) (taylor inf x) (#s(alt (.f64 x #s(literal 70002721/5000000000 binary64)) (patch (.f64 x #s(literal 70002721/5000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 70002721/5000000000 x) (taylor inf x) (#s(alt (.f64 x #s(literal 70002721/5000000000 binary64)) (patch (.f64 x #s(literal 70002721/5000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 70002721/5000000000 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 70002721/5000000000 binary64)) (patch (.f64 x #s(literal 70002721/5000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 70002721/5000000000 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 70002721/5000000000 binary64)) (patch (.f64 x #s(literal 70002721/5000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 70002721/5000000000 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 70002721/5000000000 binary64)) (patch (.f64 x #s(literal 70002721/5000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 70002721/5000000000 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 70002721/5000000000 binary64)) (patch (.f64 x #s(literal 70002721/5000000000 binary64)) #<representation binary64>) () ())) ())

Calls

57 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+ (* x (* (* x (* x (* x x))) (* (* x x) 1665589/2000000000))) (* (* x (* x (* x x))) (* (* x (* x x)) (* x (* x 1789971/5000000000)))))
0.0ms	x	@	inf	(+ (* x (* (* x (* x (* x x))) (* (* x x) 1665589/2000000000))) (* (* x (* x (* x x))) (* (* x (* x x)) (* x (* x 1789971/5000000000)))))
0.0ms	x	@	inf	(+ (* x (+ (* x (* (* x (* x (* x x))) (* (* x x) 1665589/2000000000))) (* (* x (* x (* x x))) (* (* x (* x x)) (* x (* x 1789971/5000000000)))))) (+ (* x (+ (* x (+ (* x (* x 694555761/10000000000)) (* x (* x (* x (* x 70002721/5000000000)))))) (* x 2909738639/10000000000))) 7715471019/10000000000))
0.0ms	x	@	inf	(/ (+ (* (* x x) (+ (* x (* (* x (* x (* x (* x x)))) (+ (* 1789971/10000000000 (* x x)) 2532017/5000000000))) (+ (* x (+ (* x (* (* x x) 36322091/5000000000)) (* x 106015151/2500000000))) 1049934947/10000000000))) 1) (+ (* (* x x) (+ (* x (+ (* x (* (* x (* x (* x x))) (* (* x x) 1665589/2000000000))) (* (* x (* x (* x x))) (* (* x (* x x)) (* x (* x 1789971/5000000000)))))) (+ (* x (+ (* x (+ (* x (* x 694555761/10000000000)) (* x (* x (* x (* x 70002721/5000000000)))))) (* x 2909738639/10000000000))) 7715471019/10000000000))) 1))
0.0ms	x	@	0	(/ (+ 1307076337763/8543989815576 (/ 344398180852034095277/30586987988352776592 (* x x))) (* x x))

simplify289.0ms (0.2%)

Memory

53.3MiB live, 342.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 926×	`lower-fma.f64`
11 926×	`lower-fma.f32`
4 296×	`lower-*.f64`
4 296×	`lower-*.f32`
2 458×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	176	2006
1	448	1988
2	1080	1980
3	2876	1980
4	5224	1980
5	7680	1980
0	8116	1908

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 225

Calls

Call 1

Inputs
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/ 600041/2386628 (pow x 3))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ 600041/2386628 (pow x 3))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
600041/2386628
(+ 600041/2386628 (* 1/2 (pow x 2)))
(+ 600041/2386628 (* 1/2 (pow x 2)))
(+ 600041/2386628 (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(/ 344398180852034095277/30586987988352776592 (pow x 6))
(/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 6))
(/ (+ 344398180852034095277/30586987988352776592 (* (pow x 2) (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))))) (pow x 6))
(/ (+ 344398180852034095277/30586987988352776592 (* (pow x 2) (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))))) (pow x 6))
1/2
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6))))))
1/2
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6))))))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/ 344398180852034095277/30586987988352776592 (pow x 7))
(/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 7))
(/ (+ 344398180852034095277/30586987988352776592 (* (pow x 2) (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))))) (pow x 7))
(/ (+ 344398180852034095277/30586987988352776592 (* (pow x 2) (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))))) (pow x 7))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(* 1665589/2000000000 (pow x 7))
(* (pow x 7) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))
(* (pow x 7) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))
(* (pow x 7) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))
(* 1789971/5000000000 (pow x 9))
(* (pow x 9) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 9) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 9) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* 1789971/5000000000 (pow x 9))
(* (pow x 9) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 9) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 9) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
1049934947/10000000000
(+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))
(+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))))
(+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* (pow x 2) (+ 36322091/5000000000 (* 2532017/5000000000 (pow x 2)))))))
(* 1789971/10000000000 (pow x 8))
(* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
(* 1789971/10000000000 (pow x 8))
(* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
7715471019/10000000000
(+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))
(+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))
(+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* (pow x 2) (+ 694555761/10000000000 (* 70002721/5000000000 (pow x 2)))))))
(* 1789971/5000000000 (pow x 10))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(* 1789971/5000000000 (pow x 10))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(* 694555761/10000000000 (pow x 2))
(* (pow x 2) (+ 694555761/10000000000 (* 70002721/5000000000 (pow x 2))))
(* (pow x 2) (+ 694555761/10000000000 (* 70002721/5000000000 (pow x 2))))
(* (pow x 2) (+ 694555761/10000000000 (* 70002721/5000000000 (pow x 2))))
(* 70002721/5000000000 (pow x 4))
(* (pow x 4) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(* 70002721/5000000000 (pow x 4))
(* (pow x 4) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 4))
(/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 4))
(/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 4))
(/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 4))
(/ 1307076337763/8543989815576 (pow x 2))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))
1
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 70002721/5000000000 x)
(* 70002721/5000000000 x)
(* 70002721/5000000000 x)
(* 70002721/5000000000 x)
(* 70002721/5000000000 x)
(* 70002721/5000000000 x)
(* 70002721/5000000000 x)
(* 70002721/5000000000 x)
(* 70002721/5000000000 x)
(* 70002721/5000000000 x)
(* 70002721/5000000000 x)
(* 70002721/5000000000 x)

Outputs
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 #s(literal -833192009/1250000000 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64))) #s(literal -833192009/1250000000 binary64)) (.f64 x (.f64 x x)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (*.f64 x x)))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal -600041/2386628 binary64) (/.f64 (+.f64 #s(literal -1307076337763/8543989815576 binary64) (/.f64 #s(literal -344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (*.f64 x x))) #s(literal 1/2 binary64)) x)
(/ 600041/2386628 (pow x 3))
(/.f64 #s(literal 600041/2386628 binary64) (.f64 x (.f64 x x)))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ 600041/2386628 (pow x 3))
(/.f64 #s(literal 600041/2386628 binary64) (.f64 x (.f64 x x)))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
600041/2386628
#s(literal 600041/2386628 binary64)
(+ 600041/2386628 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))
(+ 600041/2386628 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))
(+ 600041/2386628 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))
(/ 344398180852034095277/30586987988352776592 (pow x 6))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 6))
(/.f64 (fma.f64 x (.f64 x #s(literal 1307076337763/8543989815576 binary64)) #s(literal 344398180852034095277/30586987988352776592 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(/ (+ 344398180852034095277/30586987988352776592 (* (pow x 2) (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))))) (pow x 6))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 600041/2386628 binary64)) #s(literal 1307076337763/8543989815576 binary64)) #s(literal 344398180852034095277/30586987988352776592 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/ (+ 344398180852034095277/30586987988352776592 (* (pow x 2) (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))))) (pow x 6))
(/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) #s(literal 1307076337763/8543989815576 binary64))) #s(literal 344398180852034095277/30586987988352776592 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x)))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6))))))
(+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (*.f64 x x))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))
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(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 4))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 4))
(/.f64 (fma.f64 x (.f64 x #s(literal 1307076337763/8543989815576 binary64)) #s(literal 344398180852034095277/30586987988352776592 binary64)) (.f64 x (.f64 x (.f64 x x))))
(/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 4))
(/.f64 (fma.f64 x (.f64 x #s(literal 1307076337763/8543989815576 binary64)) #s(literal 344398180852034095277/30586987988352776592 binary64)) (.f64 x (.f64 x (.f64 x x))))
(/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 4))
(/.f64 (fma.f64 x (.f64 x #s(literal 1307076337763/8543989815576 binary64)) #s(literal 344398180852034095277/30586987988352776592 binary64)) (.f64 x (.f64 x (.f64 x x))))
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x x))
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -833192009/1250000000 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64))) #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x)))) (.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x)))) (.f64 x x))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 #s(literal -833192009/1250000000 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64))) #s(literal -833192009/1250000000 binary64)) (.f64 x (.f64 x x)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (*.f64 x x)))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal -600041/2386628 binary64) (/.f64 (+.f64 #s(literal -1307076337763/8543989815576 binary64) (/.f64 #s(literal -344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (*.f64 x x))) #s(literal 1/2 binary64)) x)
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 70002721/5000000000 x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 x)
(*.f64 x #s(literal 70002721/5000000000 binary64))

rewrite353.0ms (0.2%)

Memory

-33.3MiB live, 434.9MiB allocated

Rules

7 224×	`lower-fma.f32`
7 198×	`lower-fma.f64`
5 390×	`lower-*.f32`
5 350×	`lower-*.f64`
2 608×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	801
0	167	747
1	825	517
2	7923	517
0	8344	478

Stop Event

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

Counts

19 → 361

Calls

Call 1

Inputs
#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) #s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x)))))
#s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x))))
(/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)) #s(literal 1/2 binary64))
#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)) #s(literal 1/2 binary64)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))
(fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (fma.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x) #s(literal 2532017/5000000000 binary64))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (*.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)))
(fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)))))) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)))))) (*.f64 x #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64)))
(fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))))
(.f64 x (.f64 x x))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x x))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (fma.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x) #s(literal 2532017/5000000000 binary64))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)))))) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)))))) (.f64 x #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))
(.f64 x (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (fma.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x) #s(literal 2532017/5000000000 binary64))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)))))) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)))))) (*.f64 x #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))))
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(*.f64 x #s(literal 70002721/5000000000 binary64))

Outputs
#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) #s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x)))))
#s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x))))
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(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64) #s(literal 2532017/5000000000 binary64)))) (.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64))))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64)) #s(literal 2909738639/10000000000 binary64)))) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64))))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64)) #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))) (-.f64 (.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64))))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64)) #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64) #s(literal 2532017/5000000000 binary64)))) (.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64))))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64)) #s(literal 2909738639/10000000000 binary64)))) #s(literal 7715471019/10000000000 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64))))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64)) #s(literal 2909738639/10000000000 binary64)))) #s(literal 7715471019/10000000000 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64))))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64)) #s(literal 2909738639/10000000000 binary64)))) #s(literal 7715471019/10000000000 binary64))))))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64) #s(literal 2532017/5000000000 binary64)))) (.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64))))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64)) #s(literal 2909738639/10000000000 binary64)))) #s(literal 7715471019/10000000000 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64))))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64)) #s(literal 2909738639/10000000000 binary64)))) #s(literal 7715471019/10000000000 binary64))) #s(literal -1 binary64)))
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(*.f64 #s(literal 2909738639/10000000000 binary64) x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(*.f64 #s(literal 70002721/5000000000 binary64) x)

eval114.0ms (0.1%)

Memory: 4.0MiB live, 231.6MiB allocated
Compiler: Compiled 47 743 to 2 083 computations (95.6% saved)

prune3.8s (2.6%)

Memory

40.9MiB live, 4 785.9MiB allocated

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	648	6	654
Fresh	0	0	0
Picked	3	0	3
Done	0	7	7
Total	651	13	664

Accuracy

100.0%

Counts

664 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.2%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64) #s(literal 2532017/5000000000 binary64)))) (.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64))))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64)) #s(literal 2909738639/10000000000 binary64)))) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))
✓	56.6%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64))) x)
✓	55.9%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))) x)
✓	25.3%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 #s(approx (+ 1/2 (/ 600041/2386628 (* x x))) #s(literal 1/2 binary64)) (*.f64 x x))) x)
✓	56.9%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
	45.6%	#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x)) #s(literal 1/2 binary64)) x))
✓	45.7%	#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x))
✓	45.7%	#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
	7.3%	#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 #s(approx (+ (* (/ 1 (* x x)) (+ (/ (+ 1307076337763/8543989815576 (/ 344398180852034095277/30586987988352776592 (* x x))) (* x x)) 600041/2386628)) 1/2) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) #s(literal 1307076337763/8543989815576 binary64))) #s(literal 344398180852034095277/30586987988352776592 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) x))
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Compiler

Compiled 1 217 to 362 computations (70.3% saved)

regimes21.0ms (0%)

Memory

3.2MiB live, 49.1MiB allocated

Counts

26 → 2

Calls

Call 1

Inputs
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#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 #s(approx (+ (* (/ 1 (* x x)) (+ (/ (+ 1307076337763/8543989815576 (/ 344398180852034095277/30586987988352776592 (* x x))) (* x x)) 600041/2386628)) 1/2) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) #s(literal 1307076337763/8543989815576 binary64))) #s(literal 344398180852034095277/30586987988352776592 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) x))
#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) #s(approx (/ (+ (* (/ 1 (* x x)) (+ (/ (+ 1307076337763/8543989815576 (/ 344398180852034095277/30586987988352776592 (* x x))) (* x x)) 600041/2386628)) 1/2) x) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) #s(literal 1307076337763/8543989815576 binary64))) #s(literal 344398180852034095277/30586987988352776592 binary64)) (pow.f64 x #s(literal 7 binary64)))))
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(/.f64 (.f64 x (fma.f64 x (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x (.f64 x x)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))) (fma.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 x (.f64 x #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))))
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Outputs

(*.f64 x (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x x) #s(literal 2532017/5000000000 binary64))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)) (*.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1665589/2000000000 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))))) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 694555761/10000000000 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)))))) (*.f64 x #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))))

#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x))

Calls

2 calls:

9.0ms

8.0ms

(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)

Results

Accuracy	Segments	Branch
100.0%	2	`x`
99.2%	2	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)

Compiler

Compiled 176 to 45 computations (74.4% saved)

regimes10.0ms (0%)

Memory

26.7MiB live, 26.7MiB allocated

Counts

22 → 2

Calls

Call 1

Inputs
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 #s(literal 1/2 binary64) x))
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))) x)
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Outputs

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Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0%)

Memory

-18.2MiB live, 26.4MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
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Outputs

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#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0%)

Memory

20.3MiB live, 20.3MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
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#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
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#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x))
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#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)) #s(literal 1/2 binary64)) x))

Outputs

(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64))) x)

#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) #s(literal 1/2 binary64)) x))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0%)

Memory

-34.3MiB live, 16.7MiB allocated

Counts

14 → 2

Calls

Call 1

Inputs
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Outputs

(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64))) x)

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Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

12 → 2

Calls

Call 1

Inputs
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#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) #s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) x) (/.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x)))))
#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) #s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x)))))
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x))) x)

Outputs

(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64))) x)

#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 #s(literal 1/2 binary64) x))
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))) x)
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 #s(approx (+ 1/2 (/ 600041/2386628 (* x x))) #s(literal 1/2 binary64)) (*.f64 x x))) x)
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64))) x)

Outputs

(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64))) x)

#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Memory

-33.2MiB live, 12.0MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 #s(literal 1/2 binary64) x))
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))) x)
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 #s(approx (+ 1/2 (/ 600041/2386628 (* x x))) #s(literal 1/2 binary64)) (*.f64 x x))) x)

Outputs

(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))) x)

#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)

#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x))

#s(approx (/ (* x (+ (* (* x x) (+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* x (* x (* x (* x (* x x)))))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* (* x x) 1049934947/10000000000) 1)))) (+ (* (* x x) (+ (* (* (* x x) (* x (* x (* x (* x (* x x)))))) 1665589/2000000000) (* (* (* x (* x (* x x))) (* x (* x (* x (* x (* x x)))))) 1789971/5000000000))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* 70002721/5000000000 (* x (* x (* x (* x x))))) x))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 #s(literal 1/2 binary64) x))

Outputs

(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)

#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x))

Calls

2 calls:

2.0ms

(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)

2.0ms

Results

Accuracy	Segments	Branch
96.9%	2	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)
99.2%	2	`x`

Compiler

Compiled 176 to 45 computations (74.4% saved)

regimes4.0ms (0%)

Memory

9.9MiB live, 9.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)

Outputs

(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)

Calls

2 calls:

2.0ms

(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)

1.0ms

Results

Accuracy	Segments	Branch
56.9%	1	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)
56.9%	1	`x`

Compiler

Compiled 176 to 45 computations (74.4% saved)

bsearch20.0ms (0%)

Memory

-6.9MiB live, 39.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
17.0ms	111974.83991939861	467731272174.0371

Samples

15.0ms

48×

valid

Compiler

Compiled 507 to 198 computations (60.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

const: 6.0ms (43.4% of total)

ival-mult: 5.0ms (36.2% of total)

ival-add: 3.0ms (21.7% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch41.0ms (0%)

Memory

-5.3MiB live, 78.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
29.0ms	683.1635198252156	111974.83991939861

Samples

25.0ms

80×

valid

Compiler

Compiled 687 to 293 computations (57.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

const: 9.0ms (39.6% of total)

ival-mult: 8.0ms (35.2% of total)

ival-add: 5.0ms (22% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch844.0ms (0.6%)

Memory

-282.3MiB live, 104.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
839.0ms	0.0009662734623842718	9.09873508852565

Samples

833.0ms

128×

valid

Compiler

Compiled 513 to 256 computations (50.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 815.0ms

ival-mult: 794.0ms (97.4% of total)

const: 14.0ms (1.7% of total)

ival-add: 6.0ms (0.7% of total)

ival-div: 1.0ms (0.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0009662734623842718	9.09873508852565

Compiler

Compiled 497 to 240 computations (51.7% saved)

bsearch19.0ms (0%)

Memory

27.5MiB live, 27.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.0009662734623842718	9.09873508852565

Samples

14.0ms

48×

valid

Compiler

Compiled 449 to 216 computations (51.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 5.0ms (39.9% of total)

const: 5.0ms (39.9% of total)

ival-add: 2.0ms (16% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0009662734623842718	9.09873508852565

Compiler

Compiled 401 to 192 computations (52.1% saved)

bsearch52.0ms (0%)

Memory

-41.0MiB live, 53.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
34.0ms	0.0009662734623842718	9.09873508852565

Samples

30.0ms

96×

valid

Compiler

Compiled 353 to 160 computations (54.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 13.0ms (46.7% of total)

const: 10.0ms (35.9% of total)

ival-add: 4.0ms (14.4% of total)

ival-div: 1.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch13.0ms (0%)

Memory

24.4MiB live, 24.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.0009662734623842718	9.09873508852565

Samples

9.0ms

32×

valid

Compiler

Compiled 313 to 136 computations (56.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (37% of total)

const: 3.0ms (37% of total)

ival-add: 1.0ms (12.3% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch25.0ms (0%)

Memory

-14.6MiB live, 30.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.0009662734623842718	9.09873508852565

Samples

20.0ms

48×

valid

Compiler

Compiled 273 to 112 computations (59% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

const: 12.0ms (64.4% of total)

ival-mult: 5.0ms (26.8% of total)

ival-add: 2.0ms (10.7% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify30.0ms (0%)

Memory

-3.3MiB live, 41.5MiB allocated

Algorithm

1×	egg-herbie

Rules

74×	`*-commutative_binary64`
12×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	204	3262
1	250	3262

Stop Event

1×

saturated

Calls

Call 1

Inputs
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Outputs
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soundness1.0min (43.1%)

Memory

49.0MiB live, 1 297.7MiB allocated

Rules

12 890×	`lower-fma.f32`
12 868×	`lower-fma.f64`
9 958×	`lower-fma.f64`
9 958×	`lower-fma.f32`
9 416×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	2470
1	432	2440
2	1027	2430
3	2680	2430
4	4729	2430
5	6702	2430
0	8039	2351
0	134	1242
0	204	825
1	1150	673
0	8663	615
0	158	1024
1	440	1024
2	1071	1016
3	2793	1016
4	4923	1016
5	6596	1016
0	8655	980
0	101	801
0	167	747
1	825	517
2	7923	517
0	8344	478
0	150	2608
1	389	2578
2	920	2568
3	2455	2552
4	5090	2552
5	7543	2552
0	8254	2450
0	44	638
0	76	446
1	304	310
2	3040	274
0	9946	232
0	92	1764
0	151	1156
1	790	868
2	6888	868
0	8015	798

Stop Event

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

Compiler

Compiled 591 to 244 computations (58.7% saved)

preprocess1.1min (43.1%)

Memory: -34.1MiB live, 294.6MiB allocated
Compiler: Compiled 1 616 to 542 computations (66.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample4.5s (3.1%)

explain861.0ms (0.6%)

preprocess492.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify505.0ms (0.3%)

localize153.0ms (0.1%)

series17.0ms (0%)

simplify192.0ms (0.1%)

rewrite500.0ms (0.3%)

eval180.0ms (0.1%)

prune106.0ms (0.1%)

simplify489.0ms (0.3%)

localize475.0ms (0.3%)

series45.0ms (0%)

simplify217.0ms (0.1%)

rewrite379.0ms (0.3%)

eval152.0ms (0.1%)

prune1.4s (1%)

simplify392.0ms (0.3%)

localize434.0ms (0.3%)

series34.0ms (0%)

simplify227.0ms (0.2%)

rewrite399.0ms (0.3%)

eval239.0ms (0.2%)

prune1.3s (0.9%)

simplify328.0ms (0.2%)

localize341.0ms (0.2%)

series24.0ms (0%)

simplify289.0ms (0.2%)

rewrite353.0ms (0.2%)

eval114.0ms (0.1%)

prune3.8s (2.6%)

regimes21.0ms (0%)

regimes10.0ms (0%)

regimes13.0ms (0%)

regimes8.0ms (0%)

regimes10.0ms (0%)

regimes6.0ms (0%)

regimes4.0ms (0%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

bsearch20.0ms (0%)

bsearch41.0ms (0%)

bsearch844.0ms (0.6%)

bsearch2.0ms (0%)

bsearch19.0ms (0%)

bsearch1.0ms (0%)

bsearch52.0ms (0%)

bsearch13.0ms (0%)

bsearch25.0ms (0%)

simplify30.0ms (0%)

soundness1.0min (43.1%)

preprocess1.1min (43.1%)

end0.0ms (0%)

Profiling