Metrics for Jmat.Real.dawson

start0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated

analyze1.0ms (0%)

Memory

1.8MiB live, 1.8MiB 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)

sample3.9s (24.9%)

Memory

110.8MiB live, 5 730.1MiB allocated

Samples

3.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 2.9s

const: 1.2s (40.7% of total)

ival-mult: 1.1s (38.8% of total)

ival-add: 513.0ms (17.9% of total)

ival-div: 55.0ms (1.9% of total)

exact: 10.0ms (0.3% of total)

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

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

Bogosity

explain1.1s (7.1%)

Memory

36.8MiB live, 2 068.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
113	-	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)))))
54	-	3	(-1.572669307066507e+157)	(.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	-	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 (+.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 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	109	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	88
↳	`(.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))`	overflow	88
↳	(+.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	109
↳	`(*.f64 x x)`	overflow	810
↳	`(+.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	109
↳	`(.f64 (.f64 x x) (*.f64 x x))`	overflow	352
↳	`(.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	109
↳	`(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	208
↳	`(.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))`	overflow	54
↳	`(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x)))`	overflow	54
↳	`(+.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	88
↳	`(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	113
↳	(+.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	113
↳	`(.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	109
↳	`(.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	218
↳	`(.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	113
↳	`(.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))`	overflow	104
↳	`(.f64 (.f64 x x) (*.f64 x x))`	overflow	440
↳	`(.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	104
↳	`(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	312
↳	`(+.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	88
↳	`(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))`	overflow	54
↳	`(.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	1134
↳	(+.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	109
↳	`(+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x)))`	overflow	54
`*.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**	51	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	4	0
↳	`(.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))`	overflow	88
↳	`(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	113
↳	(+.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	113
↳	`(.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	109
↳	`(.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	218
↳	`(.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	113
↳	`(.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))`	overflow	104
↳	`(.f64 (.f64 x x) (*.f64 x x))`	overflow	440
↳	`(.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	104
↳	`(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	312
↳	`(+.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	88
↳	`(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))`	overflow	54
↳	`(.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	1134
↳	(+.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	109
↳	`(+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x)))`	overflow	54
`*.f64`	`(.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	113	0
-	0	143

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	113	0	0
-	0	0	143

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	143
1	61
2	52

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

269.0ms

512×

valid

Compiler

Compiled 2 265 to 136 computations (94% saved)

Precisions

Click to see histograms. Total time spent on operations: 189.0ms

const: 105.0ms (55.4% of total)

ival-mult: 55.0ms (29% of total)

ival-add: 24.0ms (12.7% of total)

ival-div: 3.0ms (1.6% of total)

ival-true: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

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

preprocess359.0ms (2.3%)

Memory

3.9MiB live, 438.7MiB 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 (/.f64 x (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1789971/5000000000 binary64) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))))) (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64) (fma.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64)))))))

Symmetry

(negabs x)

Compiler

Compiled 173 to 44 computations (74.6% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.2MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.9%	(.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

▶

55.9%

(*.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 173 to 44 computations (74.6% saved)

simplify308.0ms (1.9%)

Memory

-6.4MiB live, 267.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	640	(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))
cost-diff	640	(.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))
cost-diff	640	(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (*.f64 x x))
cost-diff	640	(.f64 (.f64 (.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
(.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)
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Outputs
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(+.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))))
(fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(+.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))))
(fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(+.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))))
(fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))
(+.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))))
(fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x)))
(fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))
#s(literal 7715471019/10000000000 binary64)
(.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))
(*.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 2909738639/10000000000 binary64)
(.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))
(*.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)))
#s(literal 694555761/10000000000 binary64)
(.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))
(*.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)))
#s(literal 70002721/5000000000 binary64)
(.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 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
#s(literal 1665589/2000000000 binary64)
(.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 (pow.f64 x #s(literal 12 binary64)) #s(literal 1789971/5000000000 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64))
#s(literal 1789971/5000000000 binary64)
#s(literal 2 binary64)
(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))
(pow.f64 x #s(literal 12 binary64))

localize197.0ms (1.2%)

Memory

9.2MiB live, 213.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.15625	(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))
accuracy	0.25388794598864395	(.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))
accuracy	12.28746484014101	(.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	27.742894037396997	(/.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

168.0ms

256×

valid

Compiler

Compiled 1 046 to 46 computations (95.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

const: 30.0ms (37.9% of total)

ival-mult: 26.0ms (32.8% of total)

ival-add: 22.0ms (27.8% of total)

ival-div: 2.0ms (2.5% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.2%)

Memory

-26.2MiB live, 24.4MiB allocated

Counts

8 → 96

Calls

Call 1

Inputs
#s(alt (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (patch (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (patch (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (patch (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.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 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())
#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())
#s(alt (.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) (patch (.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) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x))) (patch (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x)) (patch (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x)) #<representation binary64>) () ())

Outputs
#s(alt (pow x 6) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (patch (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 6) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (patch (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 6) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (patch (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 6) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (patch (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 8) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (patch (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 8) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (patch (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 8) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (patch (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 8) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (patch (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 10) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (patch (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 10) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (patch (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 10) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (patch (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time	Variable		Point	Expression
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Time

Variable

Point

Expression

10.0ms

((* (* (* x x) (* x x)) (* x x)) (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x)) (/ (+ (+ (+ (+ (+ 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))))) (* (/ (+ (+ (+ (+ (+ 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) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x))) (* 7715471019/10000000000 (* x x)))

5.0ms

inf

((* (* (* x x) (* x x)) (* x x)) (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x)) (/ (+ (+ (+ (+ (+ 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))))) (* (/ (+ (+ (+ (+ (+ 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) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x))) (* 7715471019/10000000000 (* x x)))

3.0ms

-inf

((* (* (* x x) (* x x)) (* x x)) (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x)) (/ (+ (+ (+ (+ (+ 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))))) (* (/ (+ (+ (+ (+ (+ 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) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x))) (* 7715471019/10000000000 (* x x)))

simplify116.0ms (0.7%)

Memory

5.3MiB live, 115.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 782×	`lower-fma.f64`
7 782×	`lower-fma.f32`
2 706×	`lower-*.f64`
2 706×	`lower-*.f32`
1 906×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	560
1	165	560
2	379	552
3	1053	552
4	2597	552
5	5338	552
0	8115	540

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 95

Calls

Call 1

Inputs
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 10)
(pow x 10)
(pow x 10)
(pow x 10)
(pow x 12)
(pow x 12)
(pow x 12)
(pow x 12)
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)))
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))))
(* 2532017/5000000000 (pow x 8))
(* 2532017/5000000000 (pow x 8))
(* 2532017/5000000000 (pow x 8))
(* 2532017/5000000000 (pow x 8))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 10)
(pow x 10)
(pow x 10)
(pow x 10)
(pow x 12)
(pow x 12)
(pow x 12)
(pow x 12)
(/ 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 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)
(* 2532017/5000000000 (pow x 8))
(* 2532017/5000000000 (pow x 8))
(* 2532017/5000000000 (pow x 8))
(* 2532017/5000000000 (pow x 8))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 10)
(pow x 10)
(pow x 10)
(pow x 10)
(pow x 12)
(pow x 12)
(pow x 12)
(pow x 12)
(/ 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 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))
(* 2532017/5000000000 (pow x 8))
(* 2532017/5000000000 (pow x 8))
(* 2532017/5000000000 (pow x 8))
(* 2532017/5000000000 (pow x 8))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))

Outputs
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 10)
(pow.f64 x #s(literal 10 binary64))
(pow x 10)
(pow.f64 x #s(literal 10 binary64))
(pow x 10)
(pow.f64 x #s(literal 10 binary64))
(pow x 10)
(pow.f64 x #s(literal 10 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -833192009/1250000000 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (.f64 x x) #s(literal -833192009/1250000000 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64) (fma.f64 (pow.f64 x #s(literal 3 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 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x))
(* 2532017/5000000000 (pow x 8))
(*.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)))
(* 2532017/5000000000 (pow x 8))
(*.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)))
(* 2532017/5000000000 (pow x 8))
(*.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)))
(* 2532017/5000000000 (pow x 8))
(*.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 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))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 10)
(pow.f64 x #s(literal 10 binary64))
(pow x 10)
(pow.f64 x #s(literal 10 binary64))
(pow x 10)
(pow.f64 x #s(literal 10 binary64))
(pow x 10)
(pow.f64 x #s(literal 10 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 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 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #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))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -600041/2386628 binary64) (.f64 x x)))) (.f64 x x))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64))))
(/ (+ 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 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x)))) x)
(* 2532017/5000000000 (pow x 8))
(*.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)))
(* 2532017/5000000000 (pow x 8))
(*.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)))
(* 2532017/5000000000 (pow x 8))
(*.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)))
(* 2532017/5000000000 (pow x 8))
(*.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 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))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 10)
(pow.f64 x #s(literal 10 binary64))
(pow x 10)
(pow.f64 x #s(literal 10 binary64))
(pow x 10)
(pow.f64 x #s(literal 10 binary64))
(pow x 10)
(pow.f64 x #s(literal 10 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 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 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #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))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -600041/2386628 binary64) (.f64 x x)))) (.f64 x x))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64))))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) #s(literal -1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)))) x)
(* 2532017/5000000000 (pow x 8))
(*.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)))
(* 2532017/5000000000 (pow x 8))
(*.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)))
(* 2532017/5000000000 (pow x 8))
(*.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)))
(* 2532017/5000000000 (pow x 8))
(*.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 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))

rewrite283.0ms (1.8%)

Memory

5.2MiB live, 234.7MiB 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	430
0	76	292
1	304	190
2	3038	162
0	9943	140

Stop Event

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

Counts

8 → 125

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))
(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (*.f64 x x))
(.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 x x) (.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 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))
(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))

Outputs
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eval142.0ms (0.9%)

Memory: -41.8MiB live, 190.6MiB allocated
Compiler: Compiled 81 797 to 1 797 computations (97.8% saved)

prune64.0ms (0.4%)

Memory

29.5MiB live, 68.1MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	529	13	542
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	529	14	543

Accuracy

100.0%

Counts

543 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.8%	(/.f64 (.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64)))))) x) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))))))
▶	55.9%	(.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x) #s(literal 1 binary64))))))) #s(literal -1 binary64)) x))
	55.8%	(.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) (pow.f64 (.f64 x x) #s(literal 5 binary64)))) (+.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)
▶	55.8%	(.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 (pow.f64 x #s(literal 9 binary64)) 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)
✓	55.9%	(.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)
	52.6%	(.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 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (.f64 x x) #s(literal -833192009/1250000000 binary64)) (.f64 x x) #s(literal 1 binary64))) x)
	51.8%	(.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 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))) x)
▶	29.5%	(.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 (-.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal -600041/2386628 binary64) (.f64 x x))) (.f64 x x))) x)
▶	29.5%	(.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)
▶	52.8%	(.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)
	49.2%	#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 (/.f64 (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) #s(literal -1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)))) x))
	49.3%	#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 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x))
	49.4%	#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))
	49.2%	#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 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))))

Compiler

Compiled 1 267 to 546 computations (56.9% saved)

simplify245.0ms (1.6%)

Memory

-8.4MiB live, 222.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	640	(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))
cost-diff	960	(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))
cost-diff	6272	(+.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))))
cost-diff	6592	(+.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	0	(-.f64 (-.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x)))
cost-diff	0	(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #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 (-.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #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 (-.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal -600041/2386628 binary64) (.f64 x x))) (.f64 x x))) x)
cost-diff	-384	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
cost-diff	0	(*.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(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(literal 1/2 binary64) (*.f64 x 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))))) #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	0	(fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))))
cost-diff	0	(.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x) #s(literal 1 binary64))))))) #s(literal -1 binary64)) x))
cost-diff	6080	(.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x) #s(literal 1 binary64))))))) #s(literal -1 binary64)) x)
cost-diff	6144	(fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))

Rules

25 850×	`lower-fma.f32`
25 828×	`lower-fma.f64`
6 356×	`lower-+.f32`
6 334×	`lower-+.f64`
5 046×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	2487
0	203	2286
1	364	1692
2	1001	1344
3	4560	1278
0	8270	1237

Stop Event

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

Calls

Call 1

Inputs
(.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x) #s(literal 1 binary64))))))) #s(literal -1 binary64)) x))
(fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))))
#s(literal 1789971/10000000000 binary64)
(pow.f64 x #s(literal 10 binary64))
x
#s(literal 10 binary64)
(fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(literal 2532017/5000000000 binary64)
(pow.f64 x #s(literal 8 binary64))
#s(literal 8 binary64)
(fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 36322091/5000000000 binary64)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(literal 106015151/2500000000 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1049934947/10000000000 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x) #s(literal 1 binary64))))))) #s(literal -1 binary64)) x)
(pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))))) #s(literal -1 binary64))
(fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
#s(literal 1789971/5000000000 binary64)
(pow.f64 x #s(literal 12 binary64))
#s(literal 12 binary64)
(fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))))
#s(literal 1665589/2000000000 binary64)
(fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(literal 70002721/5000000000 binary64)
(fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 694555761/10000000000 binary64)
(fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(literal 2909738639/10000000000 binary64)
(fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 7715471019/10000000000 binary64)
#s(literal -1 binary64)
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#s(literal 1 binary64)
(.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))
#s(literal 1049934947/10000000000 binary64)
(*.f64 x x)
x
(.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))
#s(literal 106015151/2500000000 binary64)
(.f64 (.f64 x x) (*.f64 x x))
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#s(literal 36322091/5000000000 binary64)
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#s(literal 2532017/5000000000 binary64)
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#s(literal 1789971/10000000000 binary64)
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#s(literal 9 binary64)
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#s(literal 1665589/2000000000 binary64)
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#s(literal 2 binary64)
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Outputs
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#s(literal 1049934947/10000000000 binary64)
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#s(literal 1 binary64)
(.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1049934947/10000000000 binary64))
#s(literal 1049934947/10000000000 binary64)
(*.f64 x x)
x
(.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64))
#s(literal 106015151/2500000000 binary64)
(.f64 (.f64 x x) (*.f64 x x))
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#s(literal 36322091/5000000000 binary64)
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#s(literal 2532017/5000000000 binary64)
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(*.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64))
#s(literal 1789971/10000000000 binary64)
(*.f64 (pow.f64 x #s(literal 9 binary64)) x)
(pow.f64 x #s(literal 10 binary64))
(pow.f64 x #s(literal 9 binary64))
#s(literal 9 binary64)
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#s(literal 7715471019/10000000000 binary64)
(.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2909738639/10000000000 binary64))
#s(literal 2909738639/10000000000 binary64)
(.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64))
#s(literal 694555761/10000000000 binary64)
(.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64))
#s(literal 70002721/5000000000 binary64)
(.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 (pow.f64 (.f64 x x) #s(literal 5 binary64)) #s(literal 1665589/2000000000 binary64))
#s(literal 1665589/2000000000 binary64)
(.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))
(pow.f64 (*.f64 x x) #s(literal 5 binary64))
(.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 (pow.f64 x #s(literal 12 binary64)) #s(literal 1789971/5000000000 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64))
#s(literal 1789971/5000000000 binary64)
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(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))
(pow.f64 x #s(literal 12 binary64))

localize412.0ms (2.6%)

Memory

38.4MiB live, 697.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.15625	(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))
accuracy	0.25388794598864395	(.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))
accuracy	12.28746484014101	(.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 (pow.f64 x #s(literal 9 binary64)) 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	27.742894037396997	(/.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 (pow.f64 x #s(literal 9 binary64)) 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)))))
accuracy	0.34080779342154066	(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal -600041/2386628 binary64) (.f64 x x))) (.f64 x x))
accuracy	0.5384690475307025	(/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))
accuracy	12.28746484014101	(.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 (-.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal -600041/2386628 binary64) (.f64 x x))) (.f64 x x))) x)
accuracy	32.22540270083347	#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 (-.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal -600041/2386628 binary64) (.f64 x x))) (.f64 x x)))
accuracy	0	(*.f64 x x)
accuracy	0.35252654342154066	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
accuracy	12.28746484014101	(.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)
accuracy	32.271614495734084	#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)))
accuracy	12.28746484014101	(.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)
accuracy	30.091681962020324	#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))
accuracy	0.0703125	(fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))
accuracy	0.23435669598864398	(fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))
accuracy	0.44968402213248665	(.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x) #s(literal 1 binary64))))))) #s(literal -1 binary64)) x)
accuracy	27.149201663650697	(.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x) #s(literal 1 binary64))))))) #s(literal -1 binary64)) x))

Samples

313.0ms

256×

valid

Compiler

Compiled 2 518 to 98 computations (96.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 273.0ms

const: 153.0ms (56.1% of total)

ival-mult: 52.0ms (19.1% of total)

ival-add: 36.0ms (13.2% of total)

ival-pow: 18.0ms (6.6% of total)

ival-div: 9.0ms (3.3% of total)

ival-sub: 2.0ms (0.7% of total)

exact: 2.0ms (0.7% of total)

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

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

series113.0ms (0.7%)

Memory

-16.4MiB live, 103.3MiB allocated

Counts

25 → 300

Calls

Call 1

Inputs
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#s(alt (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64)))))) (patch (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64)))))) #<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))))) #s(literal 1 binary64)) 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))))) #s(literal 1 binary64)) x) #<representation binary64>) () ())
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#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(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(literal 1/2 binary64) (*.f64 x x))) x) #<representation binary64>) () ())
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#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
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Outputs
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Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

inf

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4.0ms

-inf

((+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)) (* (pow (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) -1) x) (* (+ (* 1789971/10000000000 (pow x 10)) (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1))))) (* (pow (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) -1) x)) (+ (* 1789971/10000000000 (pow x 10)) (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1))))) (* (/ (+ (+ (+ (+ (+ 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) (/ (+ (+ (+ (+ (+ 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))))) (* (/ (+ (+ (+ (+ (+ 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) (/ (+ (+ (+ (+ (+ 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 x) (/ 1/2 (* x x)) (* (/ (+ (+ (+ (+ (+ 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) (/ (+ (+ (+ (+ (+ 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))))) (/ (- (- (/ 1307076337763/8543989815576 (pow x 4)) -1/2) (/ -600041/2386628 (* x x))) (* x x)) (- (- (/ 1307076337763/8543989815576 (pow x 4)) -1/2) (/ -600041/2386628 (* 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)))) (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x)) (* (* (* x x) (* x x)) (* x x)) (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (+ (* 1049934947/10000000000 (* x x)) 1) (/ -600041/2386628 (* x x)) (/ (+ (+ (+ (+ (+ 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 (* (pow x 9) 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))))) (* (/ (+ (+ (+ (+ (+ 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 (* (pow x 9) 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) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x))) (* 7715471019/10000000000 (* x x)))

4.0ms

((+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)) (* (pow (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) -1) x) (* (+ (* 1789971/10000000000 (pow x 10)) (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1))))) (* (pow (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) -1) x)) (+ (* 1789971/10000000000 (pow x 10)) (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1))))) (* (/ (+ (+ (+ (+ (+ 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) (/ (+ (+ (+ (+ (+ 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))))) (* (/ (+ (+ (+ (+ (+ 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 (* (* (* (* 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simplify194.0ms (1.2%)

Memory

15.6MiB live, 245.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 790×	`lower-fma.f64`
11 790×	`lower-fma.f32`
3 736×	`lower-*.f64`
3 736×	`lower-*.f32`
3 360×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	222	2882
1	608	2879
2	1444	2828
3	3737	2822
4	6949	2822
0	8219	2695

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 294

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 (* 2909738639/10000000000 (pow x 2)))))
x
(* x (+ 1 (* -7715471019/10000000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 30431106655028898361/100000000000000000000 (pow x 2)) 7715471019/10000000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 30431106655028898361/100000000000000000000 (* -79745856152283464501792099859/1000000000000000000000000000000 (pow x 2)))) 7715471019/10000000000))))
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
(+ 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)))))))
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
(+ 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)))
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
(+ 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)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (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
(+ 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)))
(/ 1307076337763/8543989815576 (pow x 6))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 6))
(/ (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))) (pow x 6))
(/ (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))) (pow x 6))
(/ 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
(+ 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)))))))
1
(+ 1 (* 7715471019/10000000000 (pow x 2)))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))))
(pow x 12)
(pow x 12)
(pow x 12)
(pow x 12)
(pow x 6)
(pow x 6)
(pow x 6)
(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)))))))
1
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(/ -600041/2386628 (pow x 2))
(/ -600041/2386628 (pow x 2))
(/ -600041/2386628 (pow x 2))
(/ -600041/2386628 (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)))
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))))
(* 2532017/5000000000 (pow x 8))
(* 2532017/5000000000 (pow x 8))
(* 2532017/5000000000 (pow x 8))
(* 2532017/5000000000 (pow x 8))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 4))
(* (pow x 4) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2909738639/10000000000 (+ (* 7715471019/10000000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 2909738639/10000000000 (+ (* 7715471019/10000000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(/ 5000000000/1789971 (pow x 11))
(/ (- 5000000000/1789971 (* 20819862500000000/3203996180841 (/ 1 (pow x 2)))) (pow x 11))
(/ (+ 5000000000/1789971 (* -1 (/ (+ 20819862500000000/3203996180841 (* 539820867651673750000000/5735060247816145611 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 11))
(/ (- (+ 5000000000/1789971 (* -1 (/ (+ 539820867651673750000000/5735060247816145611 (* 706797855934732518543125000000/10265591526843713975467281 (/ 1 (pow x 2)))) (pow x 4)))) (* 20819862500000000/3203996180841 (/ 1 (pow x 2)))) (pow x 11))
(/ 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)
(* 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)))))))
(/ 1/2 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 (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 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 (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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 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 (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))))) (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)))))
(* 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)))))))
(* 2909738639/10000000000 (pow x 4))
(* (pow x 4) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2909738639/10000000000 (+ (* 7715471019/10000000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 2909738639/10000000000 (+ (* 7715471019/10000000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(pow x 12)
(pow x 12)
(pow x 12)
(pow x 12)
(pow x 6)
(pow x 6)
(pow x 6)
(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)))))))
(* 1049934947/10000000000 (pow x 2))
(* (pow x 2) (+ 1049934947/10000000000 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1049934947/10000000000 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1049934947/10000000000 (/ 1 (pow x 2))))
(/ -600041/2386628 (pow x 2))
(/ -600041/2386628 (pow x 2))
(/ -600041/2386628 (pow x 2))
(/ -600041/2386628 (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))
(/ 1/2 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)
(* 2532017/5000000000 (pow x 8))
(* 2532017/5000000000 (pow x 8))
(* 2532017/5000000000 (pow x 8))
(* 2532017/5000000000 (pow x 8))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 4))
(* (pow x 4) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2909738639/10000000000 (+ (* 7715471019/10000000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 2909738639/10000000000 (+ (* 7715471019/10000000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(/ 5000000000/1789971 (pow x 11))
(* -1 (/ (- (* 20819862500000000/3203996180841 (/ 1 (pow x 2))) 5000000000/1789971) (pow x 11)))
(* -1 (/ (- (+ (* 20819862500000000/3203996180841 (/ 1 (pow x 2))) (/ 539820867651673750000000/5735060247816145611 (pow x 4))) 5000000000/1789971) (pow x 11)))
(* -1 (/ (- (+ (* 20819862500000000/3203996180841 (/ 1 (pow x 2))) (+ (* 706797855934732518543125000000/10265591526843713975467281 (/ 1 (pow x 6))) (/ 539820867651673750000000/5735060247816145611 (pow x 4)))) 5000000000/1789971) (pow x 11)))
(/ 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))
(* 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)))))))
(/ 1/2 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 (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 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 (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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 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 (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))))) (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)))))
(* 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)))))))
(* 2909738639/10000000000 (pow x 4))
(* (pow x 4) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2909738639/10000000000 (+ (* 7715471019/10000000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 2909738639/10000000000 (+ (* 7715471019/10000000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(pow x 12)
(pow x 12)
(pow x 12)
(pow x 12)
(pow x 6)
(pow x 6)
(pow x 6)
(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)))))))
(* 1049934947/10000000000 (pow x 2))
(* (pow x 2) (+ 1049934947/10000000000 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1049934947/10000000000 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1049934947/10000000000 (/ 1 (pow x 2))))
(/ -600041/2386628 (pow x 2))
(/ -600041/2386628 (pow x 2))
(/ -600041/2386628 (pow x 2))
(/ -600041/2386628 (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))
(/ 1/2 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))
(* 2532017/5000000000 (pow x 8))
(* 2532017/5000000000 (pow x 8))
(* 2532017/5000000000 (pow x 8))
(* 2532017/5000000000 (pow x 8))
(* 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 (*.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 (fma.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x x) #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 (fma.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x x) #s(literal 7715471019/10000000000 binary64)) (.f64 x x) #s(literal 1 binary64))
x
(* x (+ 1 (* -7715471019/10000000000 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -7715471019/10000000000 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 30431106655028898361/100000000000000000000 (pow x 2)) 7715471019/10000000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 30431106655028898361/100000000000000000000 binary64) (*.f64 x x) #s(literal -7715471019/10000000000 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 30431106655028898361/100000000000000000000 (* -79745856152283464501792099859/1000000000000000000000000000000 (pow x 2)))) 7715471019/10000000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -79745856152283464501792099859/1000000000000000000000000000000 binary64) (.f64 x x) #s(literal 30431106655028898361/100000000000000000000 binary64)) (.f64 x x) #s(literal -7715471019/10000000000 binary64)) x)
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 106015151/2500000000 binary64) (.f64 x x) #s(literal 1049934947/10000000000 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x) #s(literal 106015151/2500000000 binary64)) (.f64 x x) #s(literal 1049934947/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
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(/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x)) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) 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 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) 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 (+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x)))) x) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x)) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) 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 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) 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 (+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x)))) x) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x)) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) 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 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) 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 (+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x)))) 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 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))
(-.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #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 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal -600041/2386628 binary64) (*.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 (+.f64 (/.f64 #s(literal 70002721/5000000000 binary64) (.f64 x x)) #s(literal 1665589/2000000000 binary64)) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1665589/2000000000 (+ (/ 694555761/10000000000 (pow x 4)) (* 70002721/5000000000 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1665589/2000000000 binary64)) (/.f64 #s(literal 70002721/5000000000 binary64) (.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1665589/2000000000 (+ (/ 694555761/10000000000 (pow x 4)) (+ (* 70002721/5000000000 (/ 1 (pow x 2))) (* 2909738639/10000000000 (/ 1 (pow x 6)))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1665589/2000000000 binary64)) (+.f64 (/.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 70002721/5000000000 binary64) (.f64 x x)))) (pow.f64 x #s(literal 10 binary64)))
(* 2909738639/10000000000 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2909738639/10000000000 binary64))
(* (pow x 4) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x x) #s(literal 7715471019/10000000000 binary64)) x) x)
(* (pow x 4) (+ 2909738639/10000000000 (+ (* 7715471019/10000000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x x) #s(literal 7715471019/10000000000 binary64)) (.f64 x x) #s(literal 1 binary64))
(* (pow x 4) (+ 2909738639/10000000000 (+ (* 7715471019/10000000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x x) #s(literal 7715471019/10000000000 binary64)) (.f64 x x) #s(literal 1 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(* 2532017/5000000000 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64))
(* (pow x 8) (+ 2532017/5000000000 (* 36322091/5000000000 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x)) #s(literal 2532017/5000000000 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (* 36322091/5000000000 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2532017/5000000000 binary64)) (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (+ (* 36322091/5000000000 (/ 1 (pow x 2))) (* 1049934947/10000000000 (/ 1 (pow x 6)))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2532017/5000000000 binary64)) (+.f64 (/.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x)))) (pow.f64 x #s(literal 8 binary64)))
(* 1049934947/10000000000 (pow x 2))
(.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))
(* (pow x 2) (+ 1049934947/10000000000 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (+ 1049934947/10000000000 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (+ 1049934947/10000000000 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(/ -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))
(/ -600041/2386628 (pow x 2))
(/.f64 #s(literal -600041/2386628 binary64) (*.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 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) 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 (+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x)))) x) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x)) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) x))
(* 2532017/5000000000 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64))
(* 2532017/5000000000 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64))
(* 2532017/5000000000 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64))
(* 2532017/5000000000 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64))
(* 7715471019/10000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 7715471019/10000000000 binary64))
(* 7715471019/10000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 7715471019/10000000000 binary64))
(* 7715471019/10000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 7715471019/10000000000 binary64))
(* 7715471019/10000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 7715471019/10000000000 binary64))

rewrite208.0ms (1.3%)

Memory

16.6MiB live, 359.1MiB allocated

Rules

6 692×	`lower-fma.f32`
6 670×	`lower-fma.f64`
3 734×	`lower-*.f32`
3 686×	`lower-*.f64`
2 352×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	1732
0	203	955
1	803	777
2	7575	777
0	8387	769

Stop Event

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

Counts

25 → 693

Calls

Call 1

Inputs
(fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x) #s(literal 1 binary64))))))) #s(literal -1 binary64)) x)
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eval663.0ms (4.2%)

Memory: 48.0MiB live, 1 556.7MiB allocated
Compiler: Compiled 177 580 to 5 075 computations (97.1% saved)

prune87.0ms (0.5%)

Memory

2.2MiB live, 318.9MiB allocated

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	1 656	11	1 667
Fresh	6	2	8
Picked	3	2	5
Done	0	1	1
Total	1 665	16	1 681

Accuracy

100.0%

Counts

1 681 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.9%	(.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)) x))
	55.8%	(.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) (pow.f64 (.f64 x x) #s(literal 5 binary64)))) (+.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)
▶	55.8%	(.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 (pow.f64 x #s(literal 9 binary64)) x))) (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)) (.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)
	55.8%	(.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 (pow.f64 x #s(literal 9 binary64)) 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)) (pow.f64 (.f64 x x) #s(literal 6 binary64))))) x)
✓	55.9%	(.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)
	52.6%	(.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 (* (pow x 9) 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 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (.f64 x x) #s(literal -833192009/1250000000 binary64)) (.f64 x x) #s(literal 1 binary64))) x)
	51.8%	(.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 (* (pow x 9) 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 #s(literal -833192009/1250000000 binary64) (*.f64 x x) #s(literal 1 binary64))) x)
	29.6%	(.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))))) (/.f64 #s(approx (- (- (/ 1307076337763/8543989815576 (pow x 4)) -1/2) (/ -600041/2386628 (* x x))) (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) #s(literal -1/2 binary64))) (.f64 x x))) x)
✓	29.5%	(.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)
	11.0%	(.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(approx (/ (- (- (/ 1307076337763/8543989815576 (pow x 4)) -1/2) (/ -600041/2386628 (* x x))) (* x x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 600041/2386628 binary64)) (.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 6 binary64))))) x)
✓	52.8%	(.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)
▶	49.3%	#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 (* (pow x 9) 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 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x))
	49.2%	#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 (* (pow x 9) 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 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x))
▶	49.4%	#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 (* (pow x 9) 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))
▶	49.2%	#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 (* (pow x 9) 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 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x)))
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Compiler

Compiled 1 465 to 596 computations (59.3% saved)

simplify169.0ms (1.1%)

Memory

29.2MiB live, 308.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	640	(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (*.f64 x x))
cost-diff	640	(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))
cost-diff	6272	(+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)) (.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))))
cost-diff	6272	(+.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))))
cost-diff	0	(+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64))
cost-diff	0	(/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))
cost-diff	0	(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 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 (* (pow x 9) 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 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x)))
cost-diff	0	(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
cost-diff	0	(-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 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 (* (pow x 9) 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 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x))
cost-diff	0	(/.f64 #s(literal 1/2 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 (* (pow x 9) 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))
cost-diff	0	(.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)) x))
cost-diff	6080	(.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)) x)
cost-diff	6144	(fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))))
cost-diff	6144	(fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))

Rules

21 928×	`lower-fma.f32`
21 906×	`lower-fma.f64`
5 330×	`lower-+.f32`
5 310×	`lower-+.f64`
4 332×	`lower-*.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	1873
0	202	1341
1	368	1147
2	1014	1057
3	4073	1041
0	8402	1041

Stop Event

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

Calls

Call 1

Inputs
(.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)) x))
(fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))))
#s(literal 1789971/10000000000 binary64)
(pow.f64 x #s(literal 10 binary64))
x
#s(literal 10 binary64)
(fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(literal 2532017/5000000000 binary64)
(pow.f64 x #s(literal 8 binary64))
#s(literal 8 binary64)
(fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 36322091/5000000000 binary64)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(literal 106015151/2500000000 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1049934947/10000000000 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)) x)
(pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64))
(fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))))
#s(literal 1789971/5000000000 binary64)
(pow.f64 x #s(literal 12 binary64))
#s(literal 12 binary64)
(fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))
#s(literal 1665589/2000000000 binary64)
(fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))
#s(literal 70002721/5000000000 binary64)
(fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))
#s(literal 694555761/10000000000 binary64)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))
#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 (* (pow x 9) 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))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 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 (* (pow x 9) 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 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)
(-.f64 (/.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(literal -1/2 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 (* (pow x 9) 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 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (/.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
#s(literal 600041/2386628 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(.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 (pow.f64 x #s(literal 9 binary64)) x))) (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)) (.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 (+.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 (pow.f64 x #s(literal 9 binary64)) x))) (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)) (.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 (pow.f64 x #s(literal 9 binary64)) 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 #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 (+.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 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x)))
#s(literal 1 binary64)
(.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))
#s(literal 1049934947/10000000000 binary64)
(*.f64 x x)
x
(.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))
#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)))
#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)))
#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 (pow.f64 x #s(literal 9 binary64)) x))
#s(literal 1789971/10000000000 binary64)
(*.f64 (pow.f64 x #s(literal 9 binary64)) x)
(pow.f64 x #s(literal 9 binary64))
#s(literal 9 binary64)
(+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)) (.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 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)) (.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 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)) (.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 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))
#s(literal 2909738639/10000000000 binary64)
#s(literal 7715471019/10000000000 binary64)
(.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))
#s(literal 694555761/10000000000 binary64)
(.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))
#s(literal 70002721/5000000000 binary64)
(.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)))
#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 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64))
#s(literal 2 binary64)
(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))

Outputs
(.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)) x))
(.f64 (/.f64 x (fma.f64 (fma.f64 (.f64 #s(literal 1789971/5000000000 binary64) x) x #s(literal 1665589/2000000000 binary64)) (pow.f64 x #s(literal 10 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (fma.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x x) #s(literal 7715471019/10000000000 binary64)) (.f64 x x) #s(literal 1 binary64)))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2532017/5000000000 binary64) #s(literal 36322091/5000000000 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64) (fma.f64 (.f64 x x) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64))))))
(fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2532017/5000000000 binary64) #s(literal 36322091/5000000000 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64) (fma.f64 (.f64 x x) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64)))))
#s(literal 1789971/10000000000 binary64)
(pow.f64 x #s(literal 10 binary64))
x
#s(literal 10 binary64)
(fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2532017/5000000000 binary64) #s(literal 36322091/5000000000 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64) (fma.f64 (.f64 x x) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64))))
#s(literal 2532017/5000000000 binary64)
(pow.f64 x #s(literal 8 binary64))
#s(literal 8 binary64)
(fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 (fma.f64 (.f64 #s(literal 36322091/5000000000 binary64) x) x #s(literal 106015151/2500000000 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64)))
#s(literal 36322091/5000000000 binary64)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64) (fma.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64)))
#s(literal 106015151/2500000000 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64))
#s(literal 1049934947/10000000000 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)) x)
(/.f64 x (fma.f64 (fma.f64 (.f64 #s(literal 1789971/5000000000 binary64) x) x #s(literal 1665589/2000000000 binary64)) (pow.f64 x #s(literal 10 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (fma.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x x) #s(literal 7715471019/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64))
(pow.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1789971/5000000000 binary64) x) x #s(literal 1665589/2000000000 binary64)) (pow.f64 x #s(literal 10 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (fma.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x x) #s(literal 7715471019/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(literal -1 binary64))
(fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1789971/5000000000 binary64) x) x #s(literal 1665589/2000000000 binary64)) (pow.f64 x #s(literal 10 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (fma.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x x) #s(literal 7715471019/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(literal 1789971/5000000000 binary64)
(pow.f64 x #s(literal 12 binary64))
#s(literal 12 binary64)
(fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1665589/2000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (fma.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x x) #s(literal 7715471019/10000000000 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(literal 1665589/2000000000 binary64)
(fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (fma.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x x) #s(literal 7715471019/10000000000 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(literal 70002721/5000000000 binary64)
(fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (fma.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x x) #s(literal 7715471019/10000000000 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(literal 694555761/10000000000 binary64)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x x) #s(literal 7715471019/10000000000 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))
(fma.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x x) #s(literal 7715471019/10000000000 binary64))
#s(literal 2909738639/10000000000 binary64)
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(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))
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localize495.0ms (3.1%)

Memory

-174.7MiB live, 491.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(.f64 (.f64 x x) (*.f64 x x))
accuracy	0.25388794598864395	(.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))
accuracy	12.28746484014101	(.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 (pow.f64 x #s(literal 9 binary64)) x))) (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)) (.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	27.742894037396997	(/.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 (pow.f64 x #s(literal 9 binary64)) x))) (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)) (.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)))))
accuracy	0.01171875	(+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64))
accuracy	0.17025375976844204	(/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy	0.5765021467721275	(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
accuracy	32.48398784658121	#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 (* (pow x 9) 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 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x)))
accuracy	0	(*.f64 x x)
accuracy	0.0390625	(/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)
accuracy	0.5384690475307025	(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
accuracy	32.4239762233146	#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 (* (pow x 9) 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 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x))
accuracy	0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	32.40558719901936	#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 (* (pow x 9) 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))
accuracy	0.140625	(fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))
accuracy	0.23435669598864398	(fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))
accuracy	0.44968402213248665	(.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)) x)
accuracy	27.149201663650697	(.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)) x))

Samples

389.0ms

256×

valid

Compiler

Compiled 1 935 to 106 computations (94.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 322.0ms

const: 184.0ms (57.2% of total)

ival-mult: 74.0ms (23% of total)

ival-add: 26.0ms (8.1% of total)

ival-pow: 21.0ms (6.5% of total)

ival-div: 12.0ms (3.7% of total)

ival-sub: 2.0ms (0.6% of total)

exact: 2.0ms (0.6% of total)

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

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

series42.0ms (0.3%)

Memory

18.6MiB live, 66.2MiB allocated

Counts

26 → 312

Calls

Call 1

Inputs
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#s(alt (.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)) x) (patch (.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)) x)) (patch (.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)) x)) #<representation binary64>) () ())
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#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
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#s(alt (/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) #s(literal -1/2 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) #s(literal -1/2 binary64)) x) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (patch (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#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 #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 (* (pow x 9) 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 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) 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 (* (pow x 9) 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 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x))) #<representation binary64>) () ())
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Outputs
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64)))) (patch (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64)))) (patch (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64)))) (patch (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) (patch (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #<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 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) (patch (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

inf

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4.0ms

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x x)) (* x x)))) (* (* (* x x) (* x x)) (* x x)) (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000) (* x x) (/ 1307076337763/8543989815576 (* x x)) (/ (+ (+ (+ (+ (+ 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 (* (pow x 9) x))) (+ (+ (+ (+ (+ (* (* x x) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) 1) (* 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 (* 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 (* (pow x 9) x))) (+ (+ (+ (+ (+ (* (* x x) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) 1) (* 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) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x))) (* (* x x) (* x x)))

4.0ms

-inf

((+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1))) (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* (* x x) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) 1))))) (* (pow (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* (* x x) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) 1))))) -1) x) (* (+ (* 1789971/10000000000 (pow x 10)) (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1))))) (* (pow (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* (* x x) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) 1))))) -1) x)) (* (/ (+ (+ (+ (+ (+ 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 (* (pow x 9) 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) (/ 1/2 x) (* (/ (+ (+ (+ (+ (+ 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 (* (pow x 9) 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) (/ (- (/ 600041/2386628 (* x x)) -1/2) x) (- (/ 600041/2386628 (* x x)) -1/2) (/ 600041/2386628 (* x x)) (* (/ (+ (+ (+ (+ (+ 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 (* (pow x 9) 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) (- (/ (+ (/ 1307076337763/8543989815576 (* x x)) 600041/2386628) (pow x 3)) (/ -1/2 x)) (/ (+ (/ 1307076337763/8543989815576 (* x x)) 600041/2386628) (pow x 3)) (+ (/ 1307076337763/8543989815576 (* x x)) 600041/2386628) (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (* (* x x) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) 1) (* 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 x) (* x x)) (* x x)) (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000) (* x x) (/ 1307076337763/8543989815576 (* x x)) (/ (+ (+ (+ (+ (+ 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 (* (pow x 9) x))) (+ (+ (+ (+ (+ (* (* x x) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) 1) (* 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 (* 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 (* (pow x 9) x))) (+ (+ (+ (+ (+ (* (* x x) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) 1) (* 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) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x))) (* (* x x) (* x x)))

simplify499.0ms (3.2%)

Memory

-25.5MiB live, 166.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 604×	`lower-fma.f64`
11 604×	`lower-fma.f32`
3 630×	`lower-*.f64`
3 630×	`lower-*.f32`
3 278×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	219	2752
1	585	2713
2	1402	2680
3	3672	2672
4	6872	2672
0	8128	2570

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 306

Calls

Call 1

Inputs
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)))))))
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)))))))
x
(* x (+ 1 (* -7715471019/10000000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 30431106655028898361/100000000000000000000 (pow x 2)) 7715471019/10000000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 30431106655028898361/100000000000000000000 (* -79745856152283464501792099859/1000000000000000000000000000000 (pow x 2)))) 7715471019/10000000000))))
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))))
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 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))))
(/ 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))
(/ 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))
(/ 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))))
(/ 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))
(/ 1307076337763/8543989815576 (pow x 5))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 5))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 5))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 5))
(/ 1307076337763/8543989815576 (pow x 2))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 2))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 2))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (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)))))))
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)))))))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
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)))))))
7715471019/10000000000
(+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))
(+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))
(+ 7715471019/10000000000 (* 2909738639/10000000000 (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))
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)))
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))))
(* 2532017/5000000000 (pow x 8))
(* 2532017/5000000000 (pow x 8))
(* 2532017/5000000000 (pow x 8))
(* 2532017/5000000000 (pow x 8))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 36322091/5000000000 (pow x 6))
(* (pow x 6) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (* 106015151/2500000000 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (+ (* 106015151/2500000000 (/ 1 (pow x 2))) (/ 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)))))))
(/ 5000000000/1789971 (pow x 11))
(/ (- 5000000000/1789971 (* 20819862500000000/3203996180841 (/ 1 (pow x 2)))) (pow x 11))
(/ (+ 5000000000/1789971 (* -1 (/ (+ 20819862500000000/3203996180841 (* 539820867651673750000000/5735060247816145611 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 11))
(/ (- (+ 5000000000/1789971 (* -1 (/ (+ 539820867651673750000000/5735060247816145611 (* 706797855934732518543125000000/10265591526843713975467281 (/ 1 (pow x 2)))) (pow x 4)))) (* 20819862500000000/3203996180841 (/ 1 (pow x 2)))) (pow x 11))
(/ 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)
(/ (+ 1/2 (+ (/ 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 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 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)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
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))
(/ 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)
(/ (+ 1/2 (+ (/ 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)
(/ 600041/2386628 (pow x 3))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 3))
600041/2386628
(+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2))))
(+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2))))
(+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2))))
(* 36322091/5000000000 (pow x 6))
(* (pow x 6) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (* 106015151/2500000000 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (+ (* 106015151/2500000000 (/ 1 (pow x 2))) (/ 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)))))))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(* 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)))))))
(* 2909738639/10000000000 (pow x 2))
(* (pow x 2) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (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))
(/ 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 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)
(* 2532017/5000000000 (pow x 8))
(* 2532017/5000000000 (pow x 8))
(* 2532017/5000000000 (pow x 8))
(* 2532017/5000000000 (pow x 8))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 36322091/5000000000 (pow x 6))
(* (pow x 6) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (* 106015151/2500000000 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (+ (* 106015151/2500000000 (/ 1 (pow x 2))) (/ 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)))))))
(/ 5000000000/1789971 (pow x 11))
(* -1 (/ (- (* 20819862500000000/3203996180841 (/ 1 (pow x 2))) 5000000000/1789971) (pow x 11)))
(* -1 (/ (- (+ (* 20819862500000000/3203996180841 (/ 1 (pow x 2))) (/ 539820867651673750000000/5735060247816145611 (pow x 4))) 5000000000/1789971) (pow x 11)))
(* -1 (/ (- (+ (* 20819862500000000/3203996180841 (/ 1 (pow x 2))) (+ (* 706797855934732518543125000000/10265591526843713975467281 (/ 1 (pow x 6))) (/ 539820867651673750000000/5735060247816145611 (pow x 4)))) 5000000000/1789971) (pow x 11)))
(/ 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 (* 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 (* 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 (* 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
(+ 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))
(/ 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 (* 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))
(/ 600041/2386628 (pow x 3))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 3))
600041/2386628
(+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2))))
(+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2))))
(+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2))))
(* 36322091/5000000000 (pow x 6))
(* (pow x 6) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (* 106015151/2500000000 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (+ (* 106015151/2500000000 (/ 1 (pow x 2))) (/ 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)))))))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(* 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)))))))
(* 2909738639/10000000000 (pow x 2))
(* (pow x 2) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (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))
(/ 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 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))
(* 2532017/5000000000 (pow x 8))
(* 2532017/5000000000 (pow x 8))
(* 2532017/5000000000 (pow x 8))
(* 2532017/5000000000 (pow x 8))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 106015151/2500000000 binary64) (.f64 x x) #s(literal 1049934947/10000000000 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x) #s(literal 106015151/2500000000 binary64)) (.f64 x x) #s(literal 1049934947/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
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 (fma.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x x) #s(literal 7715471019/10000000000 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 694555761/10000000000 binary64) (.f64 x x) #s(literal 2909738639/10000000000 binary64)) (.f64 x x) #s(literal 7715471019/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
x
(* x (+ 1 (* -7715471019/10000000000 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -7715471019/10000000000 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 30431106655028898361/100000000000000000000 (pow x 2)) 7715471019/10000000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 30431106655028898361/100000000000000000000 binary64) (*.f64 x x) #s(literal -7715471019/10000000000 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 30431106655028898361/100000000000000000000 (* -79745856152283464501792099859/1000000000000000000000000000000 (pow x 2)))) 7715471019/10000000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -79745856152283464501792099859/1000000000000000000000000000000 binary64) (.f64 x x) #s(literal 30431106655028898361/100000000000000000000 binary64)) (.f64 x x) #s(literal -7715471019/10000000000 binary64)) x)
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
(/ 600041/2386628 (pow x 3))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) 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))
(/ 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))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
(/ 1307076337763/8543989815576 (pow x 5))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 5))
(/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))) (pow x 5))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 600041/2386628 binary64)) (.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))) (pow x 5))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 600041/2386628 binary64)) (.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64)))
(/ 1307076337763/8543989815576 (pow x 5))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 5))
(/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 5))
(/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 5))
(/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64)))
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
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(+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64))
(* 36322091/5000000000 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64))
(* (pow x 6) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 106015151/2500000000 binary64) (.f64 x x)) #s(literal 36322091/5000000000 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (* 106015151/2500000000 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 106015151/2500000000 binary64) (.f64 x x)) #s(literal 36322091/5000000000 binary64))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (+ (* 106015151/2500000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x x)) #s(literal 36322091/5000000000 binary64))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(* 1789971/5000000000 (pow x 12))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1789971/5000000000 binary64))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) #s(literal 1789971/5000000000 binary64)) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) #s(literal 1789971/5000000000 binary64))) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1789971/5000000000 binary64)) (+.f64 (/.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)))) (pow.f64 x #s(literal 12 binary64)))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 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 (+.f64 (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x)) #s(literal 2532017/5000000000 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (* 36322091/5000000000 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x)) #s(literal 2532017/5000000000 binary64))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (+ (* 36322091/5000000000 (/ 1 (pow x 2))) (* 1049934947/10000000000 (/ 1 (pow x 6)))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2532017/5000000000 binary64)) (+.f64 (/.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x)))) (pow.f64 x #s(literal 8 binary64)))
(* 2909738639/10000000000 (pow x 2))
(.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x x))
(* (pow x 2) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x x) #s(literal 7715471019/10000000000 binary64))
(* (pow x 2) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x x) #s(literal 7715471019/10000000000 binary64))
(* (pow x 2) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x x) #s(literal 7715471019/10000000000 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)
(/ 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))
(/ 1/2 (pow x 2))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) (-.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))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -600041/2386628 binary64) (.f64 x x)))) (.f64 x x))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 #s(literal -600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x)) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) x))
(* 2532017/5000000000 (pow x 8))
(*.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)))
(* 2532017/5000000000 (pow x 8))
(*.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)))
(* 2532017/5000000000 (pow x 8))
(*.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)))
(* 2532017/5000000000 (pow x 8))
(*.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))

rewrite248.0ms (1.6%)

Memory

32.4MiB live, 149.4MiB allocated

Rules

6 996×	`lower-fma.f32`
6 974×	`lower-fma.f64`
4 054×	`lower-*.f32`
4 016×	`lower-*.f64`
2 600×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	1209
0	202	679
1	894	621
0	8111	612

Stop Event

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

Counts

26 → 824

Calls

Call 1

Inputs
(fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))))
(.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)) x)
(.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 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 (* (pow x 9) 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))
(/.f64 #s(literal 1/2 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 (* (pow x 9) 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 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)
(-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 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 (* (pow x 9) 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 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64))
(+.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 (+.f64 (+.f64 (+.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)) (.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 x x) (.f64 x x)) (*.f64 x x))
(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (*.f64 x x))
(fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))
(*.f64 x x)
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.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 (pow.f64 x #s(literal 9 binary64)) x))) (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)) (.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 (pow.f64 x #s(literal 9 binary64)) x))) (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)) (.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 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))

Outputs
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eval1.4s (9.1%)

Memory: 22.2MiB live, 1 294.4MiB allocated
Compiler: Compiled 214 169 to 5 843 computations (97.3% saved)

prune196.0ms (1.2%)

Memory

3.0MiB live, 541.9MiB allocated

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	2 039	7	2 046
Fresh	1	7	8
Picked	3	2	5
Done	0	3	3
Total	2 043	19	2 062

Accuracy

100.0%

Counts

2 062 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.9%	(.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) #s(approx (+ ( 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x) #s(literal 106015151/2500000000 binary64)) (.f64 x x) #s(literal 1049934947/10000000000 binary64)) (.f64 x x) #s(literal 1 binary64))))) (.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)) x))
	55.8%	(.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) (pow.f64 (.f64 x x) #s(literal 5 binary64)))) (+.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)
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✓	55.9%	(.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)
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Compiler

Compiled 1 511 to 636 computations (57.9% saved)

simplify269.0ms (1.7%)

Memory

20.4MiB live, 289.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x)) #s(literal -1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) #s(literal -1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))))
cost-diff	0	(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) #s(literal -1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x 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))))) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) #s(literal -1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)))) x))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 600041/2386628 binary64)) (.f64 x x) #s(literal 1307076337763/8543989815576 binary64))
cost-diff	0	(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 600041/2386628 binary64)) (.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64)))
cost-diff	0	#s(approx (- (/ (+ (/ 1307076337763/8543989815576 (* x x)) 600041/2386628) (pow x 3)) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 600041/2386628 binary64)) (.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 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 (* (pow x 9) 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) #s(approx (- (/ (+ (/ 1307076337763/8543989815576 (* x x)) 600041/2386628) (pow x 3)) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 600041/2386628 binary64)) (.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64)))))
cost-diff	0	(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)
cost-diff	0	#s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x))
cost-diff	0	(/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) 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 (* (pow x 9) 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(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x) #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 (* (pow x 9) 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 #s(literal -833192009/1250000000 binary64) (*.f64 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 (* (pow x 9) 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 #s(literal -833192009/1250000000 binary64) (*.f64 x x) #s(literal 1 binary64))) x)
cost-diff	0	(fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) #s(approx (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x) #s(literal 106015151/2500000000 binary64)) (.f64 x x) #s(literal 1049934947/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
cost-diff	0	(.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) #s(approx (+ ( 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x) #s(literal 106015151/2500000000 binary64)) (.f64 x x) #s(literal 1049934947/10000000000 binary64)) (.f64 x x) #s(literal 1 binary64))))) (.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)) x))
cost-diff	6080	(.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)) x)
cost-diff	6144	(fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))))

Rules

25 126×	`lower-fma.f32`
25 098×	`lower-fma.f64`
5 728×	`lower-*.f32`
5 720×	`lower-*.f64`
4 336×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	1577
0	183	1403
1	383	1175
2	1082	1087
3	4221	1072
4	7319	1072
0	9234	1062

Stop Event

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

Calls

Call 1

Inputs
(.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) #s(approx (+ ( 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x) #s(literal 106015151/2500000000 binary64)) (.f64 x x) #s(literal 1049934947/10000000000 binary64)) (.f64 x x) #s(literal 1 binary64))))) (.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)) x))
(fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) #s(approx (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x) #s(literal 106015151/2500000000 binary64)) (.f64 x x) #s(literal 1049934947/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(literal 1789971/10000000000 binary64)
(pow.f64 x #s(literal 10 binary64))
x
#s(literal 10 binary64)
(fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) #s(approx (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x) #s(literal 106015151/2500000000 binary64)) (.f64 x x) #s(literal 1049934947/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 2532017/5000000000 binary64)
(pow.f64 x #s(literal 8 binary64))
#s(literal 8 binary64)
#s(approx (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x) #s(literal 106015151/2500000000 binary64)) (.f64 x x) #s(literal 1049934947/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x) #s(literal 106015151/2500000000 binary64)) (.f64 x x) #s(literal 1049934947/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x) #s(literal 106015151/2500000000 binary64)) (.f64 x x) #s(literal 1049934947/10000000000 binary64))
(fma.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x x) #s(literal 106015151/2500000000 binary64))
#s(literal 36322091/5000000000 binary64)
(*.f64 x x)
#s(literal 106015151/2500000000 binary64)
#s(literal 1049934947/10000000000 binary64)
#s(literal 1 binary64)
(.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)) x)
(pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64))
(fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))))
#s(literal 1789971/5000000000 binary64)
(pow.f64 x #s(literal 12 binary64))
#s(literal 12 binary64)
(fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))
#s(literal 1665589/2000000000 binary64)
(fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))
#s(literal 70002721/5000000000 binary64)
(fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))
#s(literal 694555761/10000000000 binary64)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))
#s(literal 2909738639/10000000000 binary64)
#s(literal 7715471019/10000000000 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 (* (pow x 9) 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 #s(literal -833192009/1250000000 binary64) (*.f64 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 (* (pow x 9) 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 #s(literal -833192009/1250000000 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -833192009/1250000000 binary64)
(*.f64 x x)
x
#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 (* (pow x 9) 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(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)) x))
(/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)) x)
#s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x))
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 600041/2386628 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 (* (pow x 9) 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) #s(approx (- (/ (+ (/ 1307076337763/8543989815576 (* x x)) 600041/2386628) (pow x 3)) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 600041/2386628 binary64)) (.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (/ (+ (/ 1307076337763/8543989815576 (* x x)) 600041/2386628) (pow x 3)) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 600041/2386628 binary64)) (.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64))))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 600041/2386628 binary64)) (.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 600041/2386628 binary64)) (.f64 x x) #s(literal 1307076337763/8543989815576 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 600041/2386628 binary64)
#s(literal 1307076337763/8543989815576 binary64)
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 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 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) #s(literal -1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) #s(literal -1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)))) x)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) #s(literal -1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))))
(/.f64 (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x)) #s(literal -1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (/.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)
(*.f64 x x)
x
#s(literal -1307076337763/8543989815576 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(-.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)

Outputs
(.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) #s(approx (+ ( 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x) #s(literal 106015151/2500000000 binary64)) (.f64 x x) #s(literal 1049934947/10000000000 binary64)) (.f64 x x) #s(literal 1 binary64))))) (.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)) x))
(.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 10 binary64)) (fma.f64 (.f64 #s(literal 1789971/5000000000 binary64) x) x #s(literal 1665589/2000000000 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (fma.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x x) #s(literal 7715471019/10000000000 binary64)) (.f64 x x) #s(literal 1 binary64)))))) (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) #s(approx (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1))) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) (.f64 x x) #s(literal 1049934947/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) #s(approx (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x) #s(literal 106015151/2500000000 binary64)) (.f64 x x) #s(literal 1049934947/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) #s(approx (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1))) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) (.f64 x x) #s(literal 1049934947/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(literal 1789971/10000000000 binary64)
(pow.f64 x #s(literal 10 binary64))
x
#s(literal 10 binary64)
(fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) #s(approx (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x) #s(literal 106015151/2500000000 binary64)) (.f64 x x) #s(literal 1049934947/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) #s(approx (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1))) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) (.f64 x x) #s(literal 1049934947/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 2532017/5000000000 binary64)
(pow.f64 x #s(literal 8 binary64))
#s(literal 8 binary64)
#s(approx (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x) #s(literal 106015151/2500000000 binary64)) (.f64 x x) #s(literal 1049934947/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1))) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) (.f64 x x) #s(literal 1049934947/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x) #s(literal 106015151/2500000000 binary64)) (.f64 x x) #s(literal 1049934947/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) (.f64 x x) #s(literal 1049934947/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x) #s(literal 106015151/2500000000 binary64)) (.f64 x x) #s(literal 1049934947/10000000000 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) (.f64 x x) #s(literal 1049934947/10000000000 binary64))
(fma.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x x) #s(literal 106015151/2500000000 binary64))
(fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))
#s(literal 36322091/5000000000 binary64)
(*.f64 x x)
#s(literal 106015151/2500000000 binary64)
#s(literal 1049934947/10000000000 binary64)
#s(literal 1 binary64)
(.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)) x)
(/.f64 x (fma.f64 (pow.f64 x #s(literal 10 binary64)) (fma.f64 (.f64 #s(literal 1789971/5000000000 binary64) x) x #s(literal 1665589/2000000000 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (fma.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x x) #s(literal 7715471019/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64))
(pow.f64 (fma.f64 (pow.f64 x #s(literal 10 binary64)) (fma.f64 (.f64 #s(literal 1789971/5000000000 binary64) x) x #s(literal 1665589/2000000000 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (fma.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x x) #s(literal 7715471019/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(literal -1 binary64))
(fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))))
(fma.f64 (pow.f64 x #s(literal 10 binary64)) (fma.f64 (.f64 #s(literal 1789971/5000000000 binary64) x) x #s(literal 1665589/2000000000 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (fma.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x x) #s(literal 7715471019/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(literal 1789971/5000000000 binary64)
(pow.f64 x #s(literal 12 binary64))
#s(literal 12 binary64)
(fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1665589/2000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (fma.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x x) #s(literal 7715471019/10000000000 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(literal 1665589/2000000000 binary64)
(fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (fma.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x x) #s(literal 7715471019/10000000000 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(literal 70002721/5000000000 binary64)
(fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (fma.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x x) #s(literal 7715471019/10000000000 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(literal 694555761/10000000000 binary64)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x x) #s(literal 7715471019/10000000000 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))
(fma.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x x) #s(literal 7715471019/10000000000 binary64))
#s(literal 2909738639/10000000000 binary64)
#s(literal 7715471019/10000000000 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 (* (pow x 9) 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 #s(literal -833192009/1250000000 binary64) (*.f64 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 (* (pow x 9) 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 #s(literal -833192009/1250000000 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -833192009/1250000000 binary64)
(*.f64 x x)
x
#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 (* (pow x 9) 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(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)) x))
(/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)) x)
#s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x))
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 600041/2386628 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 (* (pow x 9) 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) #s(approx (- (/ (+ (/ 1307076337763/8543989815576 (* x x)) 600041/2386628) (pow x 3)) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 600041/2386628 binary64)) (.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (/ (+ (/ 1307076337763/8543989815576 (* x x)) 600041/2386628) (pow x 3)) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 600041/2386628 binary64)) (.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64))))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 600041/2386628 binary64)) (.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 600041/2386628 binary64)) (.f64 x x) #s(literal 1307076337763/8543989815576 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 600041/2386628 binary64)
#s(literal 1307076337763/8543989815576 binary64)
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 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 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) #s(literal -1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.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 (* (pow x 9) 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 (/.f64 (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) #s(literal -1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) #s(literal -1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)))) x)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) #s(literal -1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))))
(/.f64 (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x)) #s(literal -1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (/.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)
(*.f64 x x)
x
#s(literal -1307076337763/8543989815576 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(-.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)

localize342.0ms (2.2%)

Memory

-9.5MiB live, 493.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.09603500976844201	(/.f64 (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x)) #s(literal -1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 4 binary64)))
accuracy	0.5384690475307025	(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
accuracy	0.572191006910097	(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
accuracy	32.509510845069684	#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 (/.f64 (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) #s(literal -1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)))) x))
accuracy	0.0078125	(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))
accuracy	0.08203125	(fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 600041/2386628 binary64)) (.f64 x x) #s(literal 1307076337763/8543989815576 binary64))
accuracy	22.611168745565617	(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 600041/2386628 binary64)) (.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64)))
accuracy	32.48398784658121	#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 (* (pow x 9) 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) #s(approx (- (/ (+ (/ 1307076337763/8543989815576 (* x x)) 600041/2386628) (pow x 3)) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 600041/2386628 binary64)) (.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64)))))
accuracy	0.0390625	(/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)) x)
accuracy	0.046875	(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)
accuracy	12.90144970518304	(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x)
accuracy	32.4239762233146	#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 (* (pow x 9) 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(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)) x))
accuracy	0	(*.f64 x x)
accuracy	0.08203125	(fma.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x) #s(literal 1 binary64))
accuracy	12.28746484014101	(.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 (* (pow x 9) 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 #s(literal -833192009/1250000000 binary64) (*.f64 x x) #s(literal 1 binary64))) x)
accuracy	30.769916289441564	#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 (* (pow x 9) 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 #s(literal -833192009/1250000000 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy	0.140625	(fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))
accuracy	0.23435669598864398	(fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) #s(approx (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x) #s(literal 106015151/2500000000 binary64)) (.f64 x x) #s(literal 1049934947/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64))))
accuracy	0.44968402213248665	(.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)) x)
accuracy	27.149201663650697	(.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) #s(approx (+ ( 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x) #s(literal 106015151/2500000000 binary64)) (.f64 x x) #s(literal 1049934947/10000000000 binary64)) (.f64 x x) #s(literal 1 binary64))))) (.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)) x))

Samples

273.0ms

256×

valid

Compiler

Compiled 1 453 to 129 computations (91.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 240.0ms

ival-mult: 63.0ms (26.3% of total)

const: 57.0ms (23.8% of total)

ival-pow: 34.0ms (14.2% of total)

ival-sub: 33.0ms (13.8% of total)

ival-add: 29.0ms (12.1% of total)

ival-div: 22.0ms (9.2% of total)

exact: 2.0ms (0.8% of total)

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

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

series43.0ms (0.3%)

Memory

-7.2MiB live, 71.8MiB allocated

Counts

26 → 312

Calls

Call 1

Inputs
#s(alt (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) (patch (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)) x) (patch (.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) #s(approx (+ ( 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x) #s(literal 106015151/2500000000 binary64)) (.f64 x x) #s(literal 1049934947/10000000000 binary64)) (.f64 x x) #s(literal 1 binary64))))) (.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)) x)) (patch (.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) #s(approx (+ ( 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x) #s(literal 106015151/2500000000 binary64)) (.f64 x x) #s(literal 1049934947/10000000000 binary64)) (.f64 x x) #s(literal 1 binary64))))) (.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)) x)) #<representation binary64>) () ())
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Outputs
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Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

-inf

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4.0ms

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x)) (* x x))))) x) (/ (- (/ (- (/ 344398180852034095277/30586987988352776592 (* x x)) -1307076337763/8543989815576) (pow x 4)) (- -1/2 (/ 600041/2386628 (* x x)))) x) (- (/ (- (/ 344398180852034095277/30586987988352776592 (* x x)) -1307076337763/8543989815576) (pow x 4)) (- -1/2 (/ 600041/2386628 (* x x)))) (/ (- (/ 344398180852034095277/30586987988352776592 (* x x)) -1307076337763/8543989815576) (pow x 4)) (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000) (/ (+ (* 1/2 (* x x)) 600041/2386628) x) (+ (* 1/2 (* x x)) 600041/2386628) (/ 344398180852034095277/30586987988352776592 (* x x)) (/ 600041/2386628 (* x x)))

3.0ms

inf

((+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* (* x x) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) 1))))) (* (pow (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* (* x x) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) 1))))) -1) x) (* (+ (* 1789971/10000000000 (pow x 10)) (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1))))) (* (pow (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* (* x x) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) 1))))) -1) x)) (+ (* 1789971/10000000000 (pow x 10)) (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1))))) (* (/ (+ (+ (+ (+ (+ 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 (* (pow x 9) 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) (/ (+ (+ (+ (+ (+ 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 (* (pow x 9) 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))))) (+ (* -833192009/1250000000 (* x x)) 1) (* x x) (* (/ (+ (+ (+ (+ (+ 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 (* (pow x 9) 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) (/ (- (/ 600041/2386628 (* x x)) -1/2) x) (- (/ 600041/2386628 (* x x)) -1/2) (/ (/ (+ (* 1/2 (* x x)) 600041/2386628) x) x) (* (/ (+ (+ (+ (+ (+ 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 (* (pow x 9) 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) (- (/ (+ (/ 1307076337763/8543989815576 (* x x)) 600041/2386628) (pow x 3)) (/ -1/2 x)) (/ (+ (* (+ (* 1/2 (* x x)) 600041/2386628) (* x x)) 1307076337763/8543989815576) (pow x 5)) (+ (* (+ (* 1/2 (* x x)) 600041/2386628) (* x x)) 1307076337763/8543989815576) (* (/ (+ (+ (+ (+ (+ 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) (/ (- (/ (- (/ 344398180852034095277/30586987988352776592 (* x x)) -1307076337763/8543989815576) (pow x 4)) (- -1/2 (/ 600041/2386628 (* x x)))) x) (- (/ (- (/ 344398180852034095277/30586987988352776592 (* x x)) -1307076337763/8543989815576) (pow x 4)) (- -1/2 (/ 600041/2386628 (* x x)))) (/ (- (/ 344398180852034095277/30586987988352776592 (* x x)) -1307076337763/8543989815576) (pow x 4)) (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000) (/ (+ (* 1/2 (* x x)) 600041/2386628) x) (+ (* 1/2 (* x x)) 600041/2386628) (/ 344398180852034095277/30586987988352776592 (* x x)) (/ 600041/2386628 (* x x)))

simplify207.0ms (1.3%)

Memory

-7.2MiB live, 209.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 856×	`lower-fma.f64`
13 856×	`lower-fma.f32`
4 106×	`lower-*.f64`
4 106×	`lower-*.f32`
3 748×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	247	3146
1	659	3108
2	1577	3086
3	4113	2926
4	7739	2926
0	8444	2794

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 306

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)))))))
x
(* x (+ 1 (* -7715471019/10000000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 30431106655028898361/100000000000000000000 (pow x 2)) 7715471019/10000000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 30431106655028898361/100000000000000000000 (* -79745856152283464501792099859/1000000000000000000000000000000 (pow x 2)))) 7715471019/10000000000))))
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
(+ 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)))))))
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
(+ 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
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* -833192009/1250000000 (pow x 2)))
(pow x 2)
(pow x 2)
(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))))
(/ 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))
(/ 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))
(/ 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))
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))))
(/ 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))
(/ 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))
1307076337763/8543989815576
(+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2)))
(+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2)))))
(+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (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))))
(/ 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))
(/ 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))
(/ 344398180852034095277/30586987988352776592 (pow x 6))
(/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 6))
(/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 6))
(/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (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)))))))
7715471019/10000000000
(+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))
(+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))
(+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))
(/ 600041/2386628 x)
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) x)
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) x)
(/ (+ 600041/2386628 (* 1/2 (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)))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (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)))))))
(/ 5000000000/1789971 (pow x 11))
(/ (- 5000000000/1789971 (* 20819862500000000/3203996180841 (/ 1 (pow x 2)))) (pow x 11))
(/ (+ 5000000000/1789971 (* -1 (/ (+ 20819862500000000/3203996180841 (* 539820867651673750000000/5735060247816145611 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 11))
(/ (- (+ 5000000000/1789971 (* -1 (/ (+ 539820867651673750000000/5735060247816145611 (* 706797855934732518543125000000/10265591526843713975467281 (/ 1 (pow x 2)))) (pow x 4)))) (* 20819862500000000/3203996180841 (/ 1 (pow x 2)))) (pow x 11))
(/ 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)
(* 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)))))))
(/ 1/2 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 (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))
(* -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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 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)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
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))))
(/ 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)
(/ (+ 1/2 (+ (/ 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)
(/ (+ 1/2 (+ (/ 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 (pow x 4))
(* (pow x 4) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))))
(/ 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)
(/ (+ 1/2 (+ (/ 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
(+ 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))))))
(/ 1307076337763/8543989815576 (pow x 4))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))
(* 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)))))))
(* 2909738639/10000000000 (pow x 2))
(* (pow x 2) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (pow x 2)))))
(* 1/2 x)
(* 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)))))
(* 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 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (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)))))))
(/ 5000000000/1789971 (pow x 11))
(* -1 (/ (- (* 20819862500000000/3203996180841 (/ 1 (pow x 2))) 5000000000/1789971) (pow x 11)))
(* -1 (/ (- (+ (* 20819862500000000/3203996180841 (/ 1 (pow x 2))) (/ 539820867651673750000000/5735060247816145611 (pow x 4))) 5000000000/1789971) (pow x 11)))
(* -1 (/ (- (+ (* 20819862500000000/3203996180841 (/ 1 (pow x 2))) (+ (* 706797855934732518543125000000/10265591526843713975467281 (/ 1 (pow x 6))) (/ 539820867651673750000000/5735060247816145611 (pow x 4)))) 5000000000/1789971) (pow x 11)))
(/ 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))
(* 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)))))))
(/ 1/2 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 (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))
(* -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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 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 (* 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
(+ 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))))
(/ 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 (* 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))
(/ 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))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))))
(/ 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 (* 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
(+ 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))))))
(/ 1307076337763/8543989815576 (pow x 4))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))
(* 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)))))))
(* 2909738639/10000000000 (pow x 2))
(* (pow x 2) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (pow x 2)))))
(* 1/2 x)
(* 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)))))
(* 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 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))

Outputs
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 (fma.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x x) #s(literal 7715471019/10000000000 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 694555761/10000000000 binary64) (.f64 x x) #s(literal 2909738639/10000000000 binary64)) (.f64 x x) #s(literal 7715471019/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
x
(* x (+ 1 (* -7715471019/10000000000 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -7715471019/10000000000 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 30431106655028898361/100000000000000000000 (pow x 2)) 7715471019/10000000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 30431106655028898361/100000000000000000000 binary64) (*.f64 x x) #s(literal -7715471019/10000000000 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 30431106655028898361/100000000000000000000 (* -79745856152283464501792099859/1000000000000000000000000000000 (pow x 2)))) 7715471019/10000000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -79745856152283464501792099859/1000000000000000000000000000000 binary64) (.f64 x x) #s(literal 30431106655028898361/100000000000000000000 binary64)) (.f64 x x) #s(literal -7715471019/10000000000 binary64)) x)
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 106015151/2500000000 binary64) (.f64 x x) #s(literal 1049934947/10000000000 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x) #s(literal 106015151/2500000000 binary64)) (.f64 x x) #s(literal 1049934947/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -833192009/1250000000 (pow x 2)))
(fma.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (.f64 x x) #s(literal -833192009/1250000000 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -833192009/1250000000 (pow x 2)))
(fma.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -833192009/1250000000 (pow x 2)))
(fma.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -833192009/1250000000 (pow x 2)))
(fma.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x) #s(literal 1 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)
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
(/ 600041/2386628 (pow x 3))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal 1/2 binary64)) x)
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal 1/2 binary64)) x)
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal 1/2 binary64)) x)
(/ 600041/2386628 (pow x 2))
(/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x)
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(+.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal 1/2 binary64))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(+.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal 1/2 binary64))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(+.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal 1/2 binary64))
(/ 600041/2386628 (pow x 2))
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(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x)) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) x))
(/ 1/2 (pow x 2))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal 1/2 binary64)) x) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x)) 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 (+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x))) x) x)
(* -833192009/1250000000 (pow x 2))
(.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(fma.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(fma.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(fma.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x) #s(literal 1 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)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal 1/2 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x)) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) x))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal 1/2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal 1/2 binary64))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal 1/2 binary64))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal 1/2 binary64))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal 1/2 binary64))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal 1/2 binary64))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal 1/2 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x)) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) x))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal 1/2 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal 1/2 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x))
(* 1/2 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)
(* (pow x 4) (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))))
(fma.f64 (.f64 #s(literal 600041/2386628 binary64) x) x (.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))))
(fma.f64 (.f64 #s(literal 600041/2386628 binary64) x) x (.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal 1/2 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x)) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) x))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal 1/2 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x)) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal 1/2 binary64))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x)))
(/ 1307076337763/8543989815576 (pow x 4))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (-.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal -344398180852034095277/30586987988352776592 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (-.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal -344398180852034095277/30586987988352776592 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (-.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal -344398180852034095277/30586987988352776592 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 2532017/5000000000 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64))
(* (pow x 8) (+ 2532017/5000000000 (* 36322091/5000000000 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x)) #s(literal 2532017/5000000000 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (* 36322091/5000000000 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2532017/5000000000 binary64)) (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (+ (* 36322091/5000000000 (/ 1 (pow x 2))) (* 1049934947/10000000000 (/ 1 (pow x 6)))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2532017/5000000000 binary64)) (+.f64 (/.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x)))) (pow.f64 x #s(literal 8 binary64)))
(* 2909738639/10000000000 (pow x 2))
(.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x x))
(* (pow x 2) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x x) #s(literal 7715471019/10000000000 binary64))
(* (pow x 2) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x x) #s(literal 7715471019/10000000000 binary64))
(* (pow x 2) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x x) #s(literal 7715471019/10000000000 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 600041/2386628 binary64) x))
(* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 600041/2386628 binary64) x))
(* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 600041/2386628 binary64) x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))
(/ 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))
(/ 600041/2386628 (pow x 2))
(/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x)
(/ 600041/2386628 (pow x 2))
(/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x)
(/ 600041/2386628 (pow x 2))
(/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x)
(/ 600041/2386628 (pow x 2))
(/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x)

rewrite192.0ms (1.2%)

Memory

-5.3MiB live, 269.6MiB allocated

Rules

7 848×	`lower-fma.f32`
7 820×	`lower-fma.f64`
5 184×	`lower-*.f32`
5 176×	`lower-*.f64`
3 364×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	1316
0	183	916
1	985	814
0	8765	790

Stop Event

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

Counts

26 → 456

Calls

Call 1

Inputs
(fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))))
(.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)) x)
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eval611.0ms (3.9%)

Memory: 66.2MiB live, 1 239.8MiB allocated
Compiler: Compiled 37 962 to 3 144 computations (91.7% saved)

prune201.0ms (1.3%)

Memory

-1.7MiB live, 472.5MiB allocated

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	942	9	951
Fresh	3	6	9
Picked	2	3	5
Done	0	5	5
Total	947	23	970

Accuracy

100.0%

Counts

970 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.9%	(.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) #s(approx (+ ( 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x) #s(literal 106015151/2500000000 binary64)) (.f64 x x) #s(literal 1049934947/10000000000 binary64)) (.f64 x x) #s(literal 1 binary64))))) (.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)) x))
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	52.6%	(.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 (* (pow x 9) 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 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (.f64 x x) #s(literal -833192009/1250000000 binary64)) (.f64 x x) #s(literal 1 binary64))) x)
✓	51.8%	(.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 (* (pow x 9) 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 #s(literal -833192009/1250000000 binary64) (*.f64 x x) #s(literal 1 binary64))) x)
	29.6%	(.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))))) (/.f64 #s(approx (- (- (/ 1307076337763/8543989815576 (pow x 4)) -1/2) (/ -600041/2386628 (* x x))) (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) #s(literal -1/2 binary64))) (.f64 x x))) x)
✓	29.5%	(.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)
✓	52.8%	(.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)
✓	49.3%	#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 (* (pow x 9) 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 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x))
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✓	49.4%	#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 (* (pow x 9) 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))
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Compiler

Compiled 2 600 to 690 computations (73.5% saved)

regimes35.0ms (0.2%)

Memory

-9.1MiB live, 67.7MiB allocated

Counts

41 → 2

Calls

Call 1

Inputs
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(.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 (pow.f64 x #s(literal 9 binary64)) 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 (/.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) (pow.f64 (.f64 x x) #s(literal 5 binary64)))) (+.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 (/.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 (pow.f64 x #s(literal 9 binary64)) 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)) (pow.f64 (.f64 x x) #s(literal 6 binary64))))) x)
(.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) #s(approx (+ ( 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x) #s(literal 106015151/2500000000 binary64)) (.f64 x x) #s(literal 1049934947/10000000000 binary64)) (.f64 x x) #s(literal 1 binary64))))) (.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)) x))
(.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)) x))
(/.f64 (.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64)))))) x) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))))))
(.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x) #s(literal 1 binary64))))))) #s(literal -1 binary64)) x))

Outputs

(*.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))) (*.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 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 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x))

Calls

2 calls:

16.0ms

11.0ms

(*.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`
98.4%	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 45 computations (74.1% saved)

regimes18.0ms (0.1%)

Memory

1.9MiB live, 39.1MiB allocated

Counts

38 → 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 (* (/ (+ (+ (+ (+ (+ 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 (* (pow x 9) 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))
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Outputs

(*.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) #s(approx (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x x) #s(literal 106015151/2500000000 binary64)) (*.f64 x x) #s(literal 1049934947/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 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 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x))

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes17.0ms (0.1%)

Memory

0.3MiB live, 37.6MiB allocated

Counts

37 → 2

Calls

Call 1

Inputs
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Outputs

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Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes17.0ms (0.1%)

Memory

-1.4MiB live, 35.7MiB allocated

Counts

35 → 2

Calls

Call 1

Inputs
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Outputs

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Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes19.0ms (0.1%)

Memory

-8.5MiB live, 32.4MiB allocated

Counts

31 → 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 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 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 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x)) #s(literal -1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))) x))

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes12.0ms (0.1%)

Memory

35.7MiB live, 35.7MiB allocated

Counts

28 → 2

Calls

Call 1

Inputs
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Outputs

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Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.0%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes18.0ms (0.1%)

Memory

-25.1MiB live, 42.3MiB allocated

Counts

23 → 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 (* (pow x 9) 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(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 600041/2386628 binary64))) 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 (* (pow x 9) 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) #s(approx (/ (- (/ 600041/2386628 (* x x)) -1/2) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 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 (* (pow x 9) 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) #s(approx (- (/ (+ (/ 1307076337763/8543989815576 (* x x)) 600041/2386628) (pow x 3)) (/ -1/2 x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 600041/2386628 binary64)) (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal -5 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 (* (pow x 9) 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) #s(approx (- (/ (+ (/ 1307076337763/8543989815576 (* x x)) 600041/2386628) (pow x 3)) (/ -1/2 x)) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 600041/2386628 binary64)) x) x #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 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 (* (pow x 9) 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) #s(approx (- (/ (+ (/ 1307076337763/8543989815576 (* x x)) 600041/2386628) (pow x 3)) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 600041/2386628 binary64)) (.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 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 (* (pow x 9) 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(approx (/ (+ (/ 1307076337763/8543989815576 (* x x)) 600041/2386628) (pow x 3)) (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.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))))) #s(approx (/ (- (- (/ 1307076337763/8543989815576 (pow x 4)) -1/2) (/ -600041/2386628 (* x x))) (* x x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 600041/2386628 binary64)) (.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 6 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) #s(approx (/ (- (/ (- (/ 344398180852034095277/30586987988352776592 (* x x)) -1307076337763/8543989815576) (pow x 4)) (- -1/2 (/ 600041/2386628 (* x x)))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 600041/2386628 binary64)) (.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (*.f64 x x) #s(literal 344398180852034095277/30586987988352776592 binary64)) (pow.f64 x #s(literal 7 binary64)))))

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 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 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 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.0%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes4.0ms (0%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

8 → 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 (* (/ (+ (+ (+ (+ (+ 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 (* (pow x 9) 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))
(.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 (*.f64 x 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 (* (pow x 9) 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 #s(literal -833192009/1250000000 binary64) (*.f64 x x) #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))))) (fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (.f64 x x) #s(literal -833192009/1250000000 binary64)) (.f64 x x) #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 (* (pow x 9) 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 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (.f64 x x) #s(literal -833192009/1250000000 binary64)) (.f64 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))))) (fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 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

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.5%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes4.0ms (0%)

Memory

8.3MiB live, 8.3MiB 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 (* (/ (+ (+ (+ (+ (+ 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 (* (pow x 9) 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))
(.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 (*.f64 x 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 (* (pow x 9) 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 #s(literal -833192009/1250000000 binary64) (*.f64 x x) #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)

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 (*.f64 x 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:

2.0ms

Results

Accuracy	Segments	Branch
98.5%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes7.0ms (0%)

Memory

-16.8MiB live, 19.4MiB 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 (* (/ (+ (+ (+ (+ (+ 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 (* (pow x 9) 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))

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
95.0%	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)
98.1%	2	`x`

Compiler

Compiled 174 to 45 computations (74.1% saved)

regimes4.0ms (0%)

Memory

17.4MiB live, 17.4MiB 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
52.8%	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)
52.8%	1	`x`

Compiler

Compiled 174 to 45 computations (74.1% saved)

bsearch18.0ms (0.1%)

Memory

-7.8MiB live, 29.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
17.0ms	6687.621211907053	27924177.005779162

Samples

16.0ms

16×

valid

Compiler

Compiled 248 to 97 computations (60.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-add: 11.0ms (72.8% of total)

ival-mult: 2.0ms (13.2% of total)

const: 2.0ms (13.2% 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

5.9MiB live, 5.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	6687.621211907053	27924177.005779162

Compiler

Compiled 249 to 96 computations (61.4% saved)

bsearch30.0ms (0.2%)

Memory

3.4MiB live, 76.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
26.0ms	12.119771172150438	5300.057421165073

Samples

23.0ms

64×

valid

Compiler

Compiled 876 to 292 computations (66.7% saved)

Precisions

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

ival-mult: 10.0ms (48.5% of total)

const: 7.0ms (33.9% of total)

ival-add: 3.0ms (14.5% 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)

bsearch2.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	12.119771172150438	5300.057421165073

Compiler

Compiled 932 to 284 computations (69.5% saved)

bsearch83.0ms (0.5%)

Memory

-38.6MiB live, 150.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
75.0ms	0.0002051819641989123	4.303534036334453

Samples

69.0ms

128×

valid

Compiler

Compiled 464 to 264 computations (43.1% saved)

Precisions

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

ival-mult: 42.0ms (64.6% of total)

const: 16.0ms (24.6% of total)

ival-add: 5.0ms (7.7% of total)

ival-div: 1.0ms (1.5% 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

9.7MiB live, 9.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	0.0002051819641989123	4.303534036334453

Compiler

Compiled 424 to 248 computations (41.5% saved)

bsearch35.0ms (0.2%)

Memory

-3.9MiB live, 116.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	0.0002051819641989123	4.303534036334453

Samples

26.0ms

80×

valid

Compiler

Compiled 368 to 200 computations (45.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

const: 10.0ms (42.2% of total)

ival-mult: 8.0ms (33.8% of total)

ival-add: 3.0ms (12.7% of total)

ival-div: 2.0ms (8.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch21.0ms (0.1%)

Memory

16.3MiB live, 55.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.0002051819641989123	4.303534036334453

Samples

14.0ms

48×

valid

Compiler

Compiled 320 to 168 computations (47.5% saved)

Precisions

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

ival-mult: 5.0ms (39.5% of total)

const: 5.0ms (39.5% of total)

ival-add: 2.0ms (15.8% 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)

bsearch15.0ms (0.1%)

Memory

-5.1MiB live, 34.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.0002051819641989123	4.303534036334453

Samples

11.0ms

32×

valid

Compiler

Compiled 280 to 152 computations (45.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

const: 5.0ms (52.5% of total)

ival-mult: 3.0ms (31.5% of total)

ival-add: 1.0ms (10.5% 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)

bsearch9.0ms (0.1%)

Memory

-22.7MiB live, 18.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.0002051819641989123	4.303534036334453

Samples

5.0ms

16×

valid

Compiler

Compiled 240 to 128 computations (46.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (48% of total)

const: 2.0ms (48% of total)

ival-add: 1.0ms (24% 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)

simplify120.0ms (0.8%)

Memory

26.4MiB live, 105.3MiB allocated

Algorithm

1×	egg-herbie

Rules

774×	`distribute-lft-neg-in-binary64-*.f64-neg.f64`
576×	`unsub-neg-binary64--.f64-neg.f64-+.f64`
476×	`neg-mul-1-binary64-*.f64-neg.f64`
422×	`neg-sub0-binary64--.f64-neg.f64`
314×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	197	3578
1	249	3578
2	274	3578
3	304	3578
4	345	3578
5	411	3578
6	664	3578
7	984	3578
8	1379	3578
9	1770	3578
10	2101	3578
11	2356	3578
12	2481	3578
13	2553	3578
14	2611	3578
15	2678	3578
16	2691	3578
17	2698	3578
18	2699	3578

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 10000 binary64)) (.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 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 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)))
(if (<=.f64 x #s(literal 10000 binary64)) (.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) #s(approx (+ ( 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x) #s(literal 106015151/2500000000 binary64)) (.f64 x x) #s(literal 1049934947/10000000000 binary64)) (.f64 x x) #s(literal 1 binary64))))) (.f64 (pow.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 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 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)))
(if (<=.f64 x #s(literal 2000 binary64)) (.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) (pow.f64 (.f64 x x) #s(literal 5 binary64)))) (+.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) #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 (* (pow x 9) 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 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x)))
(if (<=.f64 x #s(literal 2000 binary64)) (.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) #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 (* (pow x 9) 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 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x)))
(if (<=.f64 x #s(literal 3/2 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 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (.f64 x x) #s(literal -833192009/1250000000 binary64)) (.f64 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 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) #s(literal -1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)))) x)))
(if (<=.f64 x #s(literal 3/2 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 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (.f64 x x) #s(literal -833192009/1250000000 binary64)) (.f64 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 (-.f64 #s(approx (/ (- (/ 344398180852034095277/30586987988352776592 (* x x)) -1307076337763/8543989815576) (pow x 4)) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))) x)))
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(if (<=.f64 x #s(literal 7746191359077253/9007199254740992 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 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (.f64 x x) #s(literal -833192009/1250000000 binary64)) (.f64 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)))
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Outputs
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soundness1.5s (9.6%)

Memory

14.7MiB live, 1 130.5MiB allocated

Rules

13 856×	`lower-fma.f64`
13 856×	`lower-fma.f32`
11 790×	`lower-fma.f64`
11 790×	`lower-fma.f32`
11 604×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	247	3146
1	659	3108
2	1577	3086
3	4113	2926
4	7739	2926
0	8444	2794
0	75	560
1	165	560
2	379	552
3	1053	552
4	2597	552
5	5338	552
0	8115	540
0	219	2752
1	585	2713
2	1402	2680
3	3672	2672
4	6872	2672
0	8128	2570
0	44	430
0	76	292
1	304	190
2	3038	162
0	9943	140
0	222	2882
1	608	2879
2	1444	2828
3	3737	2822
4	6949	2822
0	8219	2695
0	119	1732
0	203	955
1	803	777
2	7575	777
0	8387	769

Stop Event

1×	fuel
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×	node limit

Compiler

Compiled 1 803 to 521 computations (71.1% saved)

preprocess371.0ms (2.3%)

Memory: -27.8MiB live, 286.5MiB allocated
Compiler: Compiled 1 864 to 482 computations (74.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample3.9s (24.9%)

explain1.1s (7.1%)

preprocess359.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify308.0ms (1.9%)

localize197.0ms (1.2%)

series27.0ms (0.2%)

simplify116.0ms (0.7%)

rewrite283.0ms (1.8%)

eval142.0ms (0.9%)

prune64.0ms (0.4%)

simplify245.0ms (1.6%)

localize412.0ms (2.6%)

series113.0ms (0.7%)

simplify194.0ms (1.2%)

rewrite208.0ms (1.3%)

eval663.0ms (4.2%)

prune87.0ms (0.5%)

simplify169.0ms (1.1%)

localize495.0ms (3.1%)

series42.0ms (0.3%)

simplify499.0ms (3.2%)

rewrite248.0ms (1.6%)

eval1.4s (9.1%)

prune196.0ms (1.2%)

simplify269.0ms (1.7%)

localize342.0ms (2.2%)

series43.0ms (0.3%)

simplify207.0ms (1.3%)

rewrite192.0ms (1.2%)

eval611.0ms (3.9%)

prune201.0ms (1.3%)

regimes35.0ms (0.2%)

regimes18.0ms (0.1%)

regimes17.0ms (0.1%)

regimes17.0ms (0.1%)

regimes19.0ms (0.1%)

regimes12.0ms (0.1%)

regimes18.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes7.0ms (0%)

regimes4.0ms (0%)

bsearch18.0ms (0.1%)

bsearch1.0ms (0%)

bsearch30.0ms (0.2%)

bsearch2.0ms (0%)

bsearch83.0ms (0.5%)

bsearch2.0ms (0%)

bsearch35.0ms (0.2%)

bsearch21.0ms (0.1%)

bsearch15.0ms (0.1%)

bsearch9.0ms (0.1%)

simplify120.0ms (0.8%)

soundness1.5s (9.6%)

preprocess371.0ms (2.3%)

end0.0ms (0%)

Profiling