Metrics for Jmat.Real.dawson

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 175 to 46 computations (73.7% saved)

sample4.0s (19.2%)

Memory

67.1MiB live, 4 835.3MiB allocated

Samples

3.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 3.1s

const: 1.3s (43.4% of total)

ival-mult: 1.2s (38.3% of total)

ival-add: 492.0ms (15.9% of total)

ival-div: 55.0ms (1.8% of total)

exact: 8.0ms (0.3% of total)

ival-true: 5.0ms (0.2% of total)

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

Bogosity

explain899.0ms (4.3%)

Memory

-1.8MiB live, 1 407.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
101	-	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)))))
53	-	2	(-3.87754890063275e+159)	(.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 1049934947/10000000000 binary64) (.f64 x x))`
1	-	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	-	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))
0	-	0	-	`(.f64 (.f64 x x) (*.f64 x x))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`#s(literal 1049934947/10000000000 binary64)`
0	-	0	-	`#s(literal 70002721/5000000000 binary64)`
0	-	0	-	`(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))))`
0	-	0	-	`#s(literal 2532017/5000000000 binary64)`
0	-	0	-	`(.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))`
0	-	0	-	`(.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))`
0	-	0	-	`(.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))`
0	-	0	-	`(.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))`
0	-	0	-	(+.f64 (+.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	-	`#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	99	0
↳	`(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))`	overflow	276
↳	`(+.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	99
↳	`(*.f64 x x)`	overflow	795
↳	`(+.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	99
↳	`(.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))`	overflow	99
↳	`(.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))`	overflow	92
↳	`(.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	99
↳	`(.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	99
↳	`(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	198
↳	`(.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))`	overflow	52
↳	`(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x)))`	overflow	52
↳	`(+.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	92
↳	`(.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	102
↳	(+.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	101
↳	`(.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	99
↳	`(.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	198
↳	`(.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	101
↳	`(.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))`	overflow	99
↳	`(.f64 (.f64 x x) (*.f64 x x))`	overflow	440
↳	`(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))`	overflow	368
↳	`(+.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	99
↳	`(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	297
↳	`(+.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	53
↳	`(.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))`	overflow	92
↳	`(+.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	92
↳	`(*.f64 x x)`	overflow	1113
↳	(+.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	99
↳	`(+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x)))`	overflow	53
`*.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	2	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	102
↳	(+.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	101
↳	`(.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	99
↳	`(.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	198
↳	`(.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	101
↳	`(.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))`	overflow	99
↳	`(.f64 (.f64 x x) (*.f64 x x))`	overflow	440
↳	`(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))`	overflow	368
↳	`(+.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	99
↳	`(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	297
↳	`(+.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	53
↳	`(.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))`	overflow	92
↳	`(+.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	92
↳	`(*.f64 x x)`	overflow	1113
↳	(+.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	99
↳	`(+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x)))`	overflow	53
`*.f64`	`(.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)))`	*no**	1	0
`*.f64`	`(.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	102	0
-	0	154

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	102	0	0
-	0	0	154

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	154
1	50
2	52

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

173.0ms

512×

valid

Compiler

Compiled 2 266 to 136 computations (94% saved)

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

const: 57.0ms (41.1% of total)

ival-mult: 54.0ms (38.9% of total)

ival-add: 23.0ms (16.6% of total)

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

exact: 1.0ms (0.7% of total)

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

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

preprocess445.0ms (2.1%)

Memory

1.1MiB live, 347.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(negabs x)

Compiler

Compiled 174 to 44 computations (74.7% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.2%	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)

Status

Accuracy

Program

▶

60.2%

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

Compiler

Compiled 174 to 44 computations (74.7% saved)

simplify455.0ms (2.2%)

Memory

12.6MiB live, 374.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs
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Outputs
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localize144.0ms (0.7%)

Memory

2.8MiB live, 161.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.23605767252923898	(.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	0.4091328457182075	(.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))
accuracy	12.040006538117657	(.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	24.806047035626282	(/.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

87.0ms

256×

valid

Compiler

Compiled 1 046 to 46 computations (95.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

const: 30.0ms (44.2% of total)

ival-mult: 25.0ms (36.8% of total)

ival-add: 11.0ms (16.2% 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)

series18.0ms (0.1%)

Memory

21.7MiB live, 21.7MiB allocated

Counts

8 → 96

Calls

Call 1

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

Calls

24 calls:

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

simplify198.0ms (1%)

Memory

-9.9MiB live, 181.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 95

Calls

Call 1

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

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

rewrite516.0ms (2.5%)

Memory

13.1MiB live, 483.2MiB 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	658
0	76	458
1	304	312
2	3040	274
0	9946	232

Stop Event

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

Counts

8 → 498

Calls

Call 1

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

Outputs
(+.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) x)) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1789971/5000000000 binary64))))))
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eval155.0ms (0.7%)

Memory: 20.8MiB live, 240.5MiB allocated
Compiler: Compiled 149 024 to 2 926 computations (98% saved)

prune133.0ms (0.6%)

Memory

-18.6MiB live, 198.5MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	580	13	593
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	581	13	594

Accuracy

100.0%

Counts

594 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.5%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64))) (fma.f64 (.f64 x x) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1789971/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) x)) (fma.f64 (.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))) #s(literal 1 binary64)))))
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	57.5%	(.f64 (/.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)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (+.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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▶	24.9%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x))) x)
▶	25.4%	(.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)
▶	58.3%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
	44.0%	#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 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x))
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	44.8%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 1 576 to 506 computations (67.9% saved)

simplify447.0ms (2.1%)

Memory

3.5MiB live, 422.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	1088	(+.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	1408	(+.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))))
cost-diff	1728	(+.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))))
cost-diff	3008	(+.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))))
cost-diff	0	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
cost-diff	0	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x))
cost-diff	0	#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x)))
cost-diff	0	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x))) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
cost-diff	0	#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 #s(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	960	(fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) x)) (fma.f64 (.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))) #s(literal 1 binary64)))
cost-diff	1280	(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x))))) x))
cost-diff	1920	(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
cost-diff	2560	(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) #s(literal 1789971/5000000000 binary64)))

Rules

28 570×	`lower-fma.f32`
28 544×	`lower-fma.f64`
6 284×	`lower-+.f32`
6 266×	`lower-+.f64`
5 422×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	2859
0	197	2116
1	468	1513
2	1306	1337
3	4115	1292
4	6319	1292
5	6809	1292
6	7445	1292
7	7814	1292
8	7818	1292
9	7818	1292
0	8120	1205

Stop Event

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

Calls

Call 1

Inputs
(.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64))) (fma.f64 (.f64 x x) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64)))) (/.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1789971/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) x)) (fma.f64 (.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))) #s(literal 1 binary64))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64))) (fma.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64))))
(*.f64 x x)
x
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
#s(literal 2532017/5000000000 binary64)
(.f64 (.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x))
#s(literal 1789971/10000000000 binary64)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64))) (fma.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 36322091/5000000000 binary64)))
#s(literal 106015151/2500000000 binary64)
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64))
#s(literal 36322091/5000000000 binary64)
(fma.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64))
#s(literal 1049934947/10000000000 binary64)
#s(literal 1 binary64)
(/.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1789971/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) x)) (fma.f64 (.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))) #s(literal 1 binary64)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1789971/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) x)) (fma.f64 (.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))) #s(literal 1 binary64))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) #s(literal 1789971/5000000000 binary64)))
(.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
#s(literal 1665589/2000000000 binary64)
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1789971/5000000000 binary64))
(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
#s(literal 1789971/5000000000 binary64)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) x)) (fma.f64 (.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x))))) x))
#s(literal 694555761/10000000000 binary64)
(.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) x)
(.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
#s(literal 70002721/5000000000 binary64)
(fma.f64 (.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 7715471019/10000000000 binary64) (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64)))
#s(literal 7715471019/10000000000 binary64)
(.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64))
#s(literal 2909738639/10000000000 binary64)
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64))
#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)
#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)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
x
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x))) x)
#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
#s(literal 1/2 binary64)
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
#s(literal 600041/2386628 binary64)
(*.f64 x x)
x
(.f64 (/.f64 (+.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)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (.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 #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)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (.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 #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)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (.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))))
#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)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64))
(.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)))
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localize412.0ms (2%)

Memory

23.8MiB live, 387.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.25053892232079383	(fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))
accuracy	4.055990428333989	#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)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))
accuracy	12.040006538117657	(.f64 (/.f64 (+.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)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (.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	24.806047035626282	(/.f64 (+.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)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (.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)))))
accuracy	0.3395901480949043	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x))
accuracy	0.5737367050226031	(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
accuracy	12.040006538117657	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x))) x)
accuracy	35.464734150654124	#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x)))
accuracy	0	(*.f64 x x)
accuracy	0.4020901480949043	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
accuracy	12.040006538117657	(.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	35.22110451089534	#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	12.040006538117657	(.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	26.551761542009842	#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	0.25	(.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64))
accuracy	0.2818478359497655	(fma.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64))
accuracy	0.34485879565533184	(.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x))
accuracy	24.418131897138768	(.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64))) (fma.f64 (.f64 x x) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64)))) (/.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1789971/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) x)) (fma.f64 (.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))) #s(literal 1 binary64))))))

Samples

167.0ms

256×

valid

Compiler

Compiled 2 819 to 96 computations (96.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

ival-mult: 66.0ms (49.3% of total)

const: 33.0ms (24.7% of total)

ival-add: 27.0ms (20.2% of total)

ival-div: 7.0ms (5.2% of total)

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

exact: 0.0ms (0% of total)

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

series60.0ms (0.3%)

Memory

5.0MiB live, 76.9MiB allocated

Counts

27 → 324

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1789971/5000000000 binary64))) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1789971/5000000000 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (patch (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) x)) (patch (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) x)) (fma.f64 (.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64))) #s(literal 1 binary64))) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) x)) (fma.f64 (.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64))) #s(literal 1 binary64))) #<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>) () ())
#s(alt #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) (patch #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #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))))) (/.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>) () ())
#s(alt #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (patch #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #<representation binary64>) () ())
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Outputs
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#s(alt (* 2532017/5000000000 (pow x 8)) (taylor -inf x) (#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)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (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)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 2532017/5000000000 (* 36322091/5000000000 (/ 1 (pow x 2))))) (taylor -inf x) (#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)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (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)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (* 36322091/5000000000 (/ 1 (pow x 2)))))) (taylor -inf x) (#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)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (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)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (+ (* 36322091/5000000000 (/ 1 (pow x 2))) (* 1049934947/10000000000 (/ 1 (pow x 6))))))) (taylor -inf x) (#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)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (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)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 106015151/2500000000 (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 36322091/5000000000 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 36322091/5000000000 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #<representation binary64>) () ())) ())

Calls

81 calls:

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

simplify296.0ms (1.4%)

Memory

-19.4MiB live, 265.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 364×	`lower-fma.f64`
11 364×	`lower-fma.f32`
3 894×	`lower-*.f64`
3 894×	`lower-*.f32`
2 836×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	3202
1	583	3202
2	1378	3154
3	3500	3154
4	5952	3154
5	7769	3154
0	8548	3029

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 319

Calls

Call 1

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

Outputs
(* 1665589/2000000000 (pow x 8))
(.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 8) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)) #s(literal 1665589/2000000000 binary64)))
(* (pow x 8) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)) #s(literal 1665589/2000000000 binary64)))
(* (pow x 8) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)) #s(literal 1665589/2000000000 binary64)))
(* 1789971/5000000000 (pow x 10))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 x x)))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x x)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x x)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x x)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))))
(* 1789971/5000000000 (pow x 10))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 x x)))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x x)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x x)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x x)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))))
(* 2532017/5000000000 (pow x 6))
(.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 6) (+ 2532017/5000000000 (* 1789971/10000000000 (pow x 2))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64)))
(* (pow x 6) (+ 2532017/5000000000 (* 1789971/10000000000 (pow x 2))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64)))
(* (pow x 6) (+ 2532017/5000000000 (* 1789971/10000000000 (pow x 2))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64)))
(* 1789971/10000000000 (pow x 8))
(.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1789971/10000000000 binary64)))
(* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x))))
(* 1789971/10000000000 (pow x 8))
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(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 2532017/5000000000 binary64) (+.f64 (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x)) (/.f64 #s(literal 106015151/2500000000 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (+ (* 36322091/5000000000 (/ 1 (pow x 2))) (* 1049934947/10000000000 (/ 1 (pow x 6)))))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (/.f64 #s(literal 106015151/2500000000 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2532017/5000000000 binary64) (+.f64 (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x)) (/.f64 #s(literal 1049934947/10000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))))
(* 2532017/5000000000 (pow x 8))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 2532017/5000000000 binary64))
(* (pow x 8) (+ 2532017/5000000000 (* 36322091/5000000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 2532017/5000000000 binary64) (/.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x x))))
(* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (* 36322091/5000000000 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 2532017/5000000000 binary64) (+.f64 (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x)) (/.f64 #s(literal 106015151/2500000000 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (+ (* 36322091/5000000000 (/ 1 (pow x 2))) (* 1049934947/10000000000 (/ 1 (pow x 6)))))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (/.f64 #s(literal 106015151/2500000000 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2532017/5000000000 binary64) (+.f64 (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 x x)) (/.f64 #s(literal 1049934947/10000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))))
106015151/2500000000
#s(literal 106015151/2500000000 binary64)
(+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))
(+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))
(+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))
(* 36322091/5000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64))
(* (pow x 2) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))
(* (pow x 2) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))
(* (pow x 2) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))
(* 36322091/5000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64))
(* (pow x 2) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))
(* (pow x 2) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))
(* (pow x 2) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))

rewrite436.0ms (2.1%)

Memory

41.1MiB live, 569.4MiB allocated

Rules

9 546×	`lower-fma.f32`
9 520×	`lower-fma.f64`
5 306×	`lower-*.f32`
5 242×	`lower-*.f64`
2 962×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	2070
0	197	1361
1	861	1001
2	7286	1001
0	8304	935

Stop Event

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

Counts

27 → 980

Calls

Call 1

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

Outputs
(+.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 2774186716921/4000000000000000000 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))) (.f64 #s(literal -1789971/5000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 3203996180841/25000000000000000000 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))) (.f64 #s(literal -1789971/5000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))))
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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)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))
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eval570.0ms (2.7%)

Memory: 29.8MiB live, 695.5MiB allocated
Compiler: Compiled 271 628 to 5 481 computations (98% saved)

prune624.0ms (3%)

Memory

-1.4MiB live, 1 186.5MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	2 062	5	2 067
Fresh	3	5	8
Picked	2	3	5
Done	0	0	0
Total	2 067	13	2 080

Accuracy

100.0%

Counts

2 080 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.5%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))) (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))))
▶	60.0%	(/.f64 (.f64 x (fma.f64 x (.f64 x (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.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)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))))
▶	60.5%	(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (/.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))))
	60.5%	(.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)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1789971/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) x)) (fma.f64 (.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64))) #s(literal 1 binary64))))) x)
▶	58.2%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))) x)
	57.5%	(.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))))) (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))) x)
✓	24.9%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x))) x)
✓	25.4%	(.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)
▶	10.3%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) (* x x)) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (.f64 x (.f64 x x)))))) x)
✓	58.3%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
	44.0%	#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 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x))
	44.2%	#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 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
▶	44.8%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 1 183 to 442 computations (62.6% saved)

simplify431.0ms (2.1%)

Memory

5.6MiB live, 475.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	640	(fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)))
cost-diff	640	(fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))
cost-diff	960	(fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))
cost-diff	2560	(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1665589/2000000000 binary64)))))
cost-diff	0	(/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (.f64 x (.f64 x x))))
cost-diff	0	#s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) (* x x)) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (.f64 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))))) #s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) (* x x)) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (.f64 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))))) #s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) (* x x)) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (.f64 x (.f64 x x)))))) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))) x)
cost-diff	0	(/.f64 #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 (* (* (* (* (* 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))
cost-diff	640	(fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))
cost-diff	960	(fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))
cost-diff	1280	(fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))
cost-diff	2560	(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1665589/2000000000 binary64)))))

Rules

27 240×	`lower-fma.f32`
27 210×	`lower-fma.f64`
6 734×	`lower-+.f64`
6 734×	`lower-+.f32`
6 166×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	2482
0	164	2035
1	443	1450
2	1465	1298
3	3704	1277
4	5914	1277
5	6299	1277
6	6852	1277
7	7289	1277
8	7301	1277
9	7301	1277
0	8508	1209

Stop Event

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

Calls

Call 1

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

Outputs
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(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 600041/2386628 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
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(.f64 x (.f64 x (*.f64 x x)))
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(/.f64 (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1789971/10000000000 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)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64) #s(literal 1665589/2000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64) #s(literal 694555761/10000000000 binary64))) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))
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x
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(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
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(*.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)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))
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(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 70002721/5000000000 binary64) #s(literal 694555761/10000000000 binary64))) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))
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(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64) #s(literal 694555761/10000000000 binary64))) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))
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(.f64 x (.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 694555761/10000000000 binary64))
(.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64))
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(fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))
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localize697.0ms (3.3%)

Memory

-95.3MiB live, 601.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.3442482624067959	(.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64))
accuracy	0.35985789555372905	(.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64))
accuracy	4.055990428333989	#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)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))
accuracy	24.712216870073735	(/.f64 (.f64 x (fma.f64 x (.f64 x (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.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)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))))
accuracy	0.09765625	(.f64 x (.f64 x x))
accuracy	12.040006538117657	(.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 (/ (+ 1/2 (/ 600041/2386628 (* x x))) (* x x)) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (.f64 x (.f64 x x)))))) x)
accuracy	21.335312820573975	(/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (.f64 x (.f64 x x))))
accuracy	35.464734150654124	#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 (/ (+ 1/2 (/ 600041/2386628 (* x x))) (* x x)) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (.f64 x (.f64 x x))))))
accuracy	0.049160009768442016	(fma.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))
accuracy	0.5390625	(*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64))
accuracy	12.040006538117657	(.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) (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))) x)
accuracy	26.846231914665342	#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) (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64)))
accuracy	0	(/.f64 #s(literal 1/2 binary64) x)
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accuracy	0.24864967643820843	(/.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))))
accuracy	0.3442482624067959	(.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64))
accuracy	0.35985789555372905	(.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64))
accuracy	24.418131897138768	(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (/.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))))

Samples

206.0ms

256×

valid

Compiler

Compiled 2 413 to 108 computations (95.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 170.0ms

ival-mult: 85.0ms (50% of total)

const: 44.0ms (25.9% of total)

ival-add: 31.0ms (18.2% of total)

ival-div: 10.0ms (5.9% of total)

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

exact: 0.0ms (0% of total)

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

series43.0ms (0.2%)

Memory

1.5MiB live, 75.5MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
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#s(alt (/.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))) (patch (/.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) (patch (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64)) (patch (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x (fma.f64 x (.f64 x (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.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)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))) (patch (/.f64 (.f64 x (fma.f64 x (.f64 x (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.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)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))) #<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)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (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)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())

Outputs
#s(alt (* 1665589/2000000000 (pow x 8)) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1789971/5000000000 (pow x 10)) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1789971/5000000000 (pow x 10)) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1049934947/10000000000 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #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 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (+ (* 36322091/5000000000 (/ 1 (pow x 2))) (* 1049934947/10000000000 (/ 1 (pow x 6))))))) (taylor inf x) (#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)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (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)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (+ (* 36322091/5000000000 (/ 1 (pow x 2))) (* 1049934947/10000000000 (/ 1 (pow x 6))))))) (taylor -inf x) (#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)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (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)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())

Calls

72 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* x 3321371254951887171/12500000000000000000)
0.0ms	x	@	0	(/ x (+ (* x (* x (+ (* (* (* x (* x (* x x))) (* x (* x (* x x)))) (* (* x x) 1789971/5000000000)) (* (* x x) (* (* x (* x x)) (* (* x (* x x)) 1665589/2000000000)))))) (+ (* (* x x) (+ (* x (+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000))) 1)))
0.0ms	x	@	0	(+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))
0.0ms	x	@	inf	(+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))
0.0ms	x	@	0	(* x 3321371254951887171/12500000000000000000)

simplify309.0ms (1.5%)

Memory

13.4MiB live, 395.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 616×	`lower-fma.f64`
13 616×	`lower-fma.f32`
4 356×	`lower-*.f64`
4 356×	`lower-*.f32`
3 926×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	247	2732
1	696	2694
2	1674	2679
3	4320	2648
0	8084	2544

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 282

Calls

Call 1

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

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

rewrite412.0ms (2%)

Memory

-5.1MiB live, 638.2MiB allocated

Rules

8 268×	`lower-fma.f32`
8 238×	`lower-fma.f64`
5 286×	`lower-*.f32`
5 240×	`lower-*.f64`
2 730×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	1625
0	164	1177
1	820	845
2	7595	845
0	8088	785

Stop Event

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

Counts

24 → 549

Calls

Call 1

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

Outputs
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eval341.0ms (1.6%)

Memory: 65.6MiB live, 748.5MiB allocated
Compiler: Compiled 201 035 to 3 426 computations (98.3% saved)

prune2.2s (10.6%)

Memory

-13.1MiB live, 4 595.6MiB allocated

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	1 852	6	1 858
Fresh	5	0	5
Picked	2	3	5
Done	0	3	3
Total	1 859	12	1 871

Accuracy

100.0%

Counts

1 871 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.5%	(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (/.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) #s(approx (+ ( x (+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64))) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))))
	60.5%	(.f64 (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64) #s(literal 2532017/5000000000 binary64)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (+.f64 (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)))))) (fma.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 70002721/5000000000 binary64)) (.f64 x #s(literal 694555761/10000000000 binary64)))) (*.f64 x #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))) x)
✓	58.2%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))) x)
▶	57.5%	(.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))))) (fma.f64 (.f64 x x) #s(approx (+ ( x (* x 3321371254951887171/12500000000000000000)) -833192009/1250000000) #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))) x)
✓	24.9%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x))) x)
✓	25.4%	(.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)
✓	10.3%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) (* x x)) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (.f64 x (.f64 x x)))))) x)
✓	58.3%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
▶	57.5%	(.f64 #s(approx (+ ( (* x x) (* (* (* x x) (* x (* x (* x x)))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000))) (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 36322091/5000000000)) 106015151/2500000000)) 1049934947/10000000000)) 1)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (/.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))))
▶	44.0%	#s(approx (/ (* x (+ (* x (* x (* 1789971/10000000000 (* (* 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)))))) (+ (* x (* x (+ (* (* (* x (* x (* x x))) (* x (* x (* x x)))) (* (* x x) 1789971/5000000000)) (* (* x x) (* (* x (* x x)) (* (* x (* x x)) 1665589/2000000000)))))) (+ (* (* x x) (+ (* x (+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000))) 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x))
▶	44.2%	#s(approx (/ (* x (+ (* x (* x (* 1789971/10000000000 (* (* 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)))))) (+ (* x (* x (+ (* (* (* x (* x (* x x))) (* x (* x (* x x)))) (* (* x x) 1789971/5000000000)) (* (* x x) (* (* x (* x x)) (* (* x (* x x)) 1665589/2000000000)))))) (+ (* (* x x) (+ (* x (+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000))) 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
✓	44.8%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 750 to 317 computations (57.7% saved)

simplify463.0ms (2.2%)

Memory

31.9MiB live, 490.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	640	(fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)))
cost-diff	640	(fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))
cost-diff	960	(fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))
cost-diff	2560	(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1665589/2000000000 binary64)))))
cost-diff	0	(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))
cost-diff	0	(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x)))
cost-diff	0	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x)
cost-diff	0	#s(approx (/ (* x (+ (* x (* x (* 1789971/10000000000 (* (* 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)))))) (+ (* x (* x (+ (* (* (* x (* x (* x x))) (* x (* x (* x x)))) (* (* x x) 1789971/5000000000)) (* (* x x) (* (* x (* x x)) (* (* x (* x x)) 1665589/2000000000)))))) (+ (* (* x x) (+ (* x (+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000))) 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x))
cost-diff	0	(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
cost-diff	0	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
cost-diff	0	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
cost-diff	0	#s(approx (/ (* x (+ (* x (* x (* 1789971/10000000000 (* (* 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)))))) (+ (* x (* x (+ (* (* (* x (* x (* x x))) (* x (* x (* x x)))) (* (* x x) 1789971/5000000000)) (* (* x x) (* (* x (* x x)) (* (* x (* x x)) 1665589/2000000000)))))) (+ (* (* x x) (+ (* x (+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000))) 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) #s(approx (+ ( x (* x 3321371254951887171/12500000000000000000)) -833192009/1250000000) #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (.f64 x x) #s(approx (+ ( x (* x 3321371254951887171/12500000000000000000)) -833192009/1250000000) #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (.f64 x x) #s(approx (+ ( x (* x 3321371254951887171/12500000000000000000)) -833192009/1250000000) #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))) x)
cost-diff	0	(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (/.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) #s(approx (+ ( x (+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64))) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))))
cost-diff	640	(fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) #s(approx (+ ( x (+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64))) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))
cost-diff	1280	(fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))
cost-diff	2560	(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1665589/2000000000 binary64)))))

Rules

26 068×	`lower-fma.f32`
26 032×	`lower-fma.f64`
6 542×	`lower-+.f32`
6 536×	`lower-+.f64`
4 950×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	2157
0	242	1823
1	559	1369
2	1646	1242
3	4036	1232
4	4840	1232
5	4961	1232
6	5352	1232
7	5572	1232
8	5578	1232
9	7940	1232
0	8299	1195

Stop Event

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

Calls

Call 1

Inputs
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (/.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) #s(approx (+ ( x (+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64))) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))))
(fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))
(*.f64 x x)
x
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64)))
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(fma.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))
(*.f64 x #s(literal 1789971/10000000000 binary64))
#s(literal 1789971/10000000000 binary64)
#s(literal 2532017/5000000000 binary64)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64))
(fma.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64))
(*.f64 x #s(literal 36322091/5000000000 binary64))
#s(literal 36322091/5000000000 binary64)
#s(literal 106015151/2500000000 binary64)
#s(literal 1049934947/10000000000 binary64)
#s(literal 1 binary64)
(/.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) #s(approx (+ ( x (+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64))) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))))
(fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) #s(approx (+ ( x (+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64))) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))
(.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1665589/2000000000 binary64)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64))
#s(literal 1789971/5000000000 binary64)
(.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))
(.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1665589/2000000000 binary64))
#s(literal 1665589/2000000000 binary64)
(fma.f64 (.f64 x x) #s(approx (+ ( x (+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64))) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))
#s(approx (+ (* x (+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64))) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64))) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64))) #s(literal 2909738639/10000000000 binary64))
(.f64 x (fma.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64)))
(fma.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64))
(*.f64 x #s(literal 70002721/5000000000 binary64))
#s(literal 70002721/5000000000 binary64)
#s(literal 694555761/10000000000 binary64)
#s(literal 2909738639/10000000000 binary64)
#s(literal 7715471019/10000000000 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 (.f64 x x) #s(approx (+ ( x (* x 3321371254951887171/12500000000000000000)) -833192009/1250000000) #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))) x)
#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (.f64 x x) #s(approx (+ ( x (* x 3321371254951887171/12500000000000000000)) -833192009/1250000000) #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) #s(approx (+ ( x (* x 3321371254951887171/12500000000000000000)) -833192009/1250000000) #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
#s(approx (+ (* x (* x 3321371254951887171/12500000000000000000)) -833192009/1250000000) #s(literal -833192009/1250000000 binary64))
#s(literal -833192009/1250000000 binary64)
#s(literal 1 binary64)
#s(approx (/ (* x (+ (* x (* x (* 1789971/10000000000 (* (* 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)))))) (+ (* x (* x (+ (* (* (* x (* x (* x x))) (* x (* x (* x x)))) (* (* x x) 1789971/5000000000)) (* (* x x) (* (* x (* x x)) (* (* x (* x x)) 1665589/2000000000)))))) (+ (* (* x x) (+ (* x (+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000))) 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
#s(literal 1/2 binary64)
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
#s(literal 600041/2386628 binary64)
(*.f64 x x)
x
#s(approx (/ (* x (+ (* x (* x (* 1789971/10000000000 (* (* 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)))))) (+ (* x (* x (+ (* (* (* x (* x (* x x))) (* x (* x (* x x)))) (* (* x x) 1789971/5000000000)) (* (* x x) (* (* x (* x x)) (* (* x (* x x)) 1665589/2000000000)))))) (+ (* (* x x) (+ (* x (+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000))) 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x)))
#s(literal 1/2 binary64)
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))
(+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)))
#s(literal 600041/2386628 binary64)
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
#s(literal 1307076337763/8543989815576 binary64)
(*.f64 x x)
x
(.f64 #s(approx (+ ( (* x x) (* (* (* x x) (* x (* x (* x x)))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000))) (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 36322091/5000000000)) 106015151/2500000000)) 1049934947/10000000000)) 1)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (/.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))))
#s(approx (+ (* (* x x) (* (* (* x x) (* x (* x (* x x)))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000))) (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 36322091/5000000000)) 106015151/2500000000)) 1049934947/10000000000)) 1)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64))
(fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))
#s(literal 36322091/5000000000 binary64)
#s(literal 106015151/2500000000 binary64)
#s(literal 1049934947/10000000000 binary64)
#s(literal 1 binary64)
(/.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))))
(fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))
(.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1665589/2000000000 binary64)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64))
#s(literal 1789971/5000000000 binary64)
(.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))
(.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1665589/2000000000 binary64))
#s(literal 1665589/2000000000 binary64)
(fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)))
(fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64))
#s(literal 70002721/5000000000 binary64)
(.f64 x (.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64)))
(.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64))
#s(literal 694555761/10000000000 binary64)
(fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))
#s(literal 2909738639/10000000000 binary64)
#s(literal 7715471019/10000000000 binary64)

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

localize466.0ms (2.2%)

Memory

0.6MiB live, 798.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3442482624067959	(.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64))
accuracy	0.35985789555372905	(.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64))
accuracy	4.100943227884558	#s(approx (+ (* (* x x) (* (* (* x x) (* x (* x (* x x)))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000))) (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 36322091/5000000000)) 106015151/2500000000)) 1049934947/10000000000)) 1)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))
accuracy	24.418131897138768	(.f64 #s(approx (+ ( (* x x) (* (* (* x x) (* x (* x (* x x)))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000))) (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 36322091/5000000000)) 106015151/2500000000)) 1049934947/10000000000)) 1)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (/.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))))
accuracy	0.03125	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x)
accuracy	0.436354185485719	(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))
accuracy	0.5306951974630525	(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
accuracy	35.82275790996652	#s(approx (/ (* x (+ (* x (* x (* 1789971/10000000000 (* (* 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)))))) (+ (* x (* x (+ (* (* (* x (* x (* x x))) (* x (* x (* x x)))) (* (* x x) 1789971/5000000000)) (* (* x x) (* (* x (* x x)) (* (* x (* x x)) 1665589/2000000000)))))) (+ (* (* x x) (+ (* x (+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000))) 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x))
accuracy	0	(*.f64 x x)
accuracy	0.0703125	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
accuracy	0.5737367050226031	(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
accuracy	35.70308703517205	#s(approx (/ (* x (+ (* x (* x (* 1789971/10000000000 (* (* 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)))))) (+ (* x (* x (+ (* (* (* x (* x (* x x))) (* x (* x (* x x)))) (* (* x x) 1789971/5000000000)) (* (* x x) (* (* x (* x x)) (* (* x (* x x)) 1665589/2000000000)))))) (+ (* (* x x) (+ (* x (+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000))) 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
accuracy	0.02734375	(fma.f64 (.f64 x x) #s(approx (+ ( x (* x 3321371254951887171/12500000000000000000)) -833192009/1250000000) #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))
accuracy	12.040006538117657	(.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(approx (+ ( x (* x 3321371254951887171/12500000000000000000)) -833192009/1250000000) #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))) x)
accuracy	26.846231914665342	#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(approx (+ ( x (* x 3321371254951887171/12500000000000000000)) -833192009/1250000000) #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64)))
accuracy	27.425856797688642	#s(approx (+ (* x (* x 3321371254951887171/12500000000000000000)) -833192009/1250000000) #s(literal -833192009/1250000000 binary64))
accuracy	0.24864967643820843	(/.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) #s(approx (+ ( x (+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64))) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))))
accuracy	0.2890625	(*.f64 x #s(literal 70002721/5000000000 binary64))
accuracy	0.3442482624067959	(.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64))
accuracy	24.418131897138768	(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (/.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) #s(approx (+ ( x (+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64))) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))))

Samples

268.0ms

256×

valid

Compiler

Compiled 2 094 to 124 computations (94.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

ival-mult: 93.0ms (48.6% of total)

const: 44.0ms (23% of total)

ival-add: 39.0ms (20.4% of total)

ival-div: 15.0ms (7.8% of total)

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

exact: 0.0ms (0% of total)

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

series49.0ms (0.2%)

Memory

-8.6MiB live, 73.0MiB allocated

Counts

27 → 324

Calls

Call 1

Inputs
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#s(alt (.f64 #s(approx (+ ( (* x x) (* (* (* x x) (* x (* x (* x x)))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000))) (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 36322091/5000000000)) 106015151/2500000000)) 1049934947/10000000000)) 1)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (/.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))))) (patch (.f64 #s(approx (+ ( (* x x) (* (* (* x x) (* x (* x (* x x)))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000))) (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 36322091/5000000000)) 106015151/2500000000)) 1049934947/10000000000)) 1)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (/.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* x x) (* (* (* x x) (* x (* x (* x x)))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000))) (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 36322091/5000000000)) 106015151/2500000000)) 1049934947/10000000000)) 1)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (patch #s(approx (+ ( (* x x) (* (* (* x x) (* x (* x (* x x)))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000))) (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 36322091/5000000000)) 106015151/2500000000)) 1049934947/10000000000)) 1)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)) (patch (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 1665589/2000000000 (pow x 8)) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1789971/5000000000 (pow x 10)) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1789971/5000000000 (pow x 10)) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) (patch (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1049934947/10000000000 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #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 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1789971/10000000000 (pow x 10)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt #s(approx (+ (* (* x x) (* (* (* x x) (* x (* x (* x x)))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000))) (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 36322091/5000000000)) 106015151/2500000000)) 1049934947/10000000000)) 1)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (patch #s(approx (+ ( (* x x) (* (* (* x x) (* x (* x (* x x)))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000))) (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 36322091/5000000000)) 106015151/2500000000)) 1049934947/10000000000)) 1)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6))))))) (taylor inf x) (#s(alt #s(approx (+ (* (* x x) (* (* (* x x) (* x (* x (* x x)))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000))) (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 36322091/5000000000)) 106015151/2500000000)) 1049934947/10000000000)) 1)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (patch #s(approx (+ ( (* x x) (* (* (* x x) (* x (* x (* x x)))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000))) (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 36322091/5000000000)) 106015151/2500000000)) 1049934947/10000000000)) 1)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1789971/10000000000 (pow x 10)) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) (* (* (* x x) (* x (* x (* x x)))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000))) (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 36322091/5000000000)) 106015151/2500000000)) 1049934947/10000000000)) 1)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (patch #s(approx (+ ( (* x x) (* (* (* x x) (* x (* x (* x x)))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000))) (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 36322091/5000000000)) 106015151/2500000000)) 1049934947/10000000000)) 1)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) (* (* (* x x) (* x (* x (* x x)))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000))) (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 36322091/5000000000)) 106015151/2500000000)) 1049934947/10000000000)) 1)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (patch #s(approx (+ ( (* x x) (* (* (* x x) (* x (* x (* x x)))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000))) (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 36322091/5000000000)) 106015151/2500000000)) 1049934947/10000000000)) 1)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) (* (* (* x x) (* x (* x (* x x)))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000))) (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 36322091/5000000000)) 106015151/2500000000)) 1049934947/10000000000)) 1)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (patch #s(approx (+ ( (* x x) (* (* (* x x) (* x (* x (* x x)))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000))) (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 36322091/5000000000)) 106015151/2500000000)) 1049934947/10000000000)) 1)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6))))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) (* (* (* x x) (* x (* x (* x x)))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000))) (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 36322091/5000000000)) 106015151/2500000000)) 1049934947/10000000000)) 1)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (patch #s(approx (+ ( (* x x) (* (* (* x x) (* x (* x (* x x)))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000))) (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 36322091/5000000000)) 106015151/2500000000)) 1049934947/10000000000)) 1)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 694555761/10000000000 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)) (patch (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 694555761/10000000000 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)) (patch (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 694555761/10000000000 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)) (patch (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 694555761/10000000000 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)) (patch (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 694555761/10000000000 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)) (patch (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 694555761/10000000000 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)) (patch (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 694555761/10000000000 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)) (patch (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 694555761/10000000000 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)) (patch (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 694555761/10000000000 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)) (patch (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 694555761/10000000000 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)) (patch (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 694555761/10000000000 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)) (patch (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 694555761/10000000000 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)) (patch (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)) #<representation binary64>) () ())) ())

Calls

81 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x))
2.0ms	x	@	0	(/ (+ 1/2 (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x))) x)
0.0ms	x	@	-inf	(* x 70002721/5000000000)
0.0ms	x	@	inf	(* x 70002721/5000000000)
0.0ms	x	@	inf	(/ (+ 1/2 (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x))) x)

simplify294.0ms (1.4%)

Memory

38.0MiB live, 465.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 930×	`lower-fma.f64`
12 930×	`lower-fma.f32`
4 246×	`lower-*.f64`
4 246×	`lower-*.f32`
3 722×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	246	3102
1	667	3064
2	1604	3047
3	4176	3014
4	7861	3014
0	8543	2897

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 318

Calls

Call 1

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

Outputs
(* 1665589/2000000000 (pow x 8))
(*.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)) #s(literal 1665589/2000000000 binary64)))
(* (pow x 8) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)) #s(literal 1665589/2000000000 binary64)))
(* (pow x 8) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)) #s(literal 1665589/2000000000 binary64)))
(* 1789971/5000000000 (pow x 10))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x))))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x))))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x))))
(* 1789971/5000000000 (pow x 10))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x))))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x))))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))
(* 1789971/10000000000 (pow x 10))
(*.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64))
(* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (.f64 x x))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1789971/10000000000 binary64) (+.f64 (/.f64 #s(literal 2532017/5000000000 binary64) (.f64 x x)) (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 2532017/5000000000 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 x (.f64 x (*.f64 x x)))) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 1789971/10000000000 (pow x 10))
(*.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64))
(* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (.f64 x x))))
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(* 694555761/10000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64))
(* 694555761/10000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64))
(* 694555761/10000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64))
(* 694555761/10000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64))
(* 694555761/10000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64))
(* 694555761/10000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64))
(* 694555761/10000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64))
(* 694555761/10000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64))
(* 694555761/10000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64))
(* 694555761/10000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64))

rewrite386.0ms (1.9%)

Memory

-64.0MiB live, 686.7MiB allocated

Rules

9 380×	`lower-fma.f32`
9 344×	`lower-fma.f64`
5 912×	`lower-*.f32`
5 870×	`lower-*.f64`
2 834×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	1486
0	244	1146
1	1053	862
0	8587	815

Stop Event

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

Counts

27 → 639

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1665589/2000000000 binary64)))))
(fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))
(fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) #s(approx (+ ( x (+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64))) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (/.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) #s(approx (+ ( x (+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64))) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))))
(.f64 #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(approx (+ ( x (* x 3321371254951887171/12500000000000000000)) -833192009/1250000000) #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))) x)
#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (.f64 x x) #s(approx (+ ( x (* x 3321371254951887171/12500000000000000000)) -833192009/1250000000) #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) #s(approx (+ ( x (* x 3321371254951887171/12500000000000000000)) -833192009/1250000000) #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))
(*.f64 x x)
#s(approx (/ (* x (+ (* x (* x (* 1789971/10000000000 (* (* 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)))))) (+ (* x (* x (+ (* (* (* x (* x (* x x))) (* x (* x (* x x)))) (* (* x x) 1789971/5000000000)) (* (* x x) (* (* x (* x x)) (* (* x (* x x)) 1665589/2000000000)))))) (+ (* (* x x) (+ (* x (+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000))) 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
#s(approx (/ (* x (+ (* x (* x (* 1789971/10000000000 (* (* 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)))))) (+ (* x (* x (+ (* (* (* x (* x (* x x))) (* x (* x (* x x)))) (* (* x x) 1789971/5000000000)) (* (* x x) (* (* x (* x x)) (* (* x (* x x)) 1665589/2000000000)))))) (+ (* (* x x) (+ (* x (+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000))) 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x)))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))
(fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))
(fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)))
(.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64))
(*.f64 x #s(literal 70002721/5000000000 binary64))
(/.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) #s(approx (+ ( x (+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64))) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))))
#s(approx (+ (* x (* x 3321371254951887171/12500000000000000000)) -833192009/1250000000) #s(literal -833192009/1250000000 binary64))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(.f64 #s(approx (+ ( (* x x) (* (* (* x x) (* x (* x (* x x)))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000))) (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 36322091/5000000000)) 106015151/2500000000)) 1049934947/10000000000)) 1)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (/.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))))
#s(approx (+ (* (* x x) (* (* (* x x) (* x (* x (* x x)))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000))) (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 36322091/5000000000)) 106015151/2500000000)) 1049934947/10000000000)) 1)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64))

Outputs
(+.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
(+.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) #s(literal 3203996180841/25000000000000000000 binary64)) (-.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (/.f64 (.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (-.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))))
(fma.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64)))))) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))))
(fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64))))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(fma.f64 x (.f64 (.f64 x #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(fma.f64 x (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64))))) (.f64 x x)) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64))))) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1789971/5000000000 binary64)) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64))))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64))))) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64))) (.f64 x x)) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64))))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(fma.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(fma.f64 (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(fma.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))))
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64))))) (.f64 x x) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))))
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#s(approx (+ (* (* x x) (* (* (* x x) (* x (* x (* x x)))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000))) (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 36322091/5000000000)) 106015151/2500000000)) 1049934947/10000000000)) 1)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64)))
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(.f64 (.f64 #s(literal 694555761/10000000000 binary64) x) x)

eval297.0ms (1.4%)

Memory: 29.1MiB live, 498.3MiB allocated
Compiler: Compiled 134 673 to 3 654 computations (97.3% saved)

prune2.5s (12.2%)

Memory

8.9MiB live, 4 966.0MiB allocated

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	1 500	9	1 509
Fresh	1	0	1
Picked	2	3	5
Done	2	4	6
Total	1 505	16	1 521

Accuracy

100.0%

Counts

1 521 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
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Compiler

Compiled 2 954 to 502 computations (83% saved)

regimes30.0ms (0.1%)

Memory

-16.8MiB live, 55.2MiB allocated

Counts

34 → 2

Calls

Call 1

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

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)))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1789971/5000000000 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) x)) (fma.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))) #s(literal 1 binary64))))) 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:

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)

10.0ms

Results

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

Compiler

Compiled 176 to 45 computations (74.4% saved)

regimes13.0ms (0.1%)

Memory

25.1MiB live, 25.1MiB allocated

Counts

32 → 2

Calls

Call 1

Inputs
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Outputs

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.1%)

Memory

-23.8MiB live, 20.0MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
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Outputs

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Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0%)

Memory

16.9MiB live, 16.9MiB allocated

Counts

19 → 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))
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(.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(approx (+ ( x (* x 3321371254951887171/12500000000000000000)) -833192009/1250000000) #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))) x)
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)
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#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
#s(approx (/ (* x (+ (* x (* x (* 1789971/10000000000 (* (* 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)))))) (+ (* x (* x (+ (* (* (* x (* x (* x x))) (* x (* x (* x x)))) (* (* x x) 1789971/5000000000)) (* (* x x) (* (* x (* x x)) (* (* x (* x x)) 1665589/2000000000)))))) (+ (* (* x x) (+ (* x (+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000))) 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
#s(approx (/ (* x (+ (* x (* x (* 1789971/10000000000 (* (* 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)))))) (+ (* x (* x (+ (* (* (* x (* x (* x x))) (* x (* x (* x x)))) (* (* x x) 1789971/5000000000)) (* (* x x) (* (* x (* x x)) (* (* x (* x x)) 1665589/2000000000)))))) (+ (* (* x x) (+ (* x (+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000))) 1))) #s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x)))))
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x))) x)
#s(approx (/ (* x (+ (* x (* x (* 1789971/10000000000 (* (* 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)))))) (+ (* x (* x (+ (* (* (* x (* x (* x x))) (* x (* x (* x x)))) (* (* x x) 1789971/5000000000)) (* (* x x) (* (* x (* x x)) (* (* x (* x x)) 1665589/2000000000)))))) (+ (* (* x x) (+ (* x (+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000))) 1))) (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))))))
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) (* x x)) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (.f64 x (.f64 x x)))))) x)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x))
#s(approx (/ (* x (+ (* x (* x (* 1789971/10000000000 (* (* 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)))))) (+ (* x (* x (+ (* (* (* x (* x (* x x))) (* x (* x (* x x)))) (* (* x x) 1789971/5000000000)) (* (* x x) (* (* x (* x x)) (* (* x (* x x)) 1665589/2000000000)))))) (+ (* (* x x) (+ (* x (+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000))) 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x))
#s(approx (/ (* x (+ (* x (* x (* 1789971/10000000000 (* (* 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)))))) (+ (* x (* x (+ (* (* (* x (* x (* x x))) (* x (* x (* x x)))) (* (* x x) 1789971/5000000000)) (* (* x x) (* (* x (* x x)) (* (* x (* x x)) 1665589/2000000000)))))) (+ (* (* x x) (+ (* x (+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000))) 1))) (/.f64 (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x (.f64 x (.f64 x x)))))) x))
(/.f64 (.f64 #s(approx (+ ( (* x x) (* (* (* x x) (* x (* x (* x x)))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000))) (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 36322091/5000000000)) 106015151/2500000000)) 1049934947/10000000000)) 1)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64))) x) (fma.f64 (.f64 x x) (+.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64)) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (+ (* (* x x) (* (* (* x x) (* x (* x (* x x)))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000))) (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 36322091/5000000000)) 106015151/2500000000)) 1049934947/10000000000)) 1)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (+.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64)) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx (+ ( (* x x) (* (* (* x x) (* x (* x (* x x)))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000))) (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 36322091/5000000000)) 106015151/2500000000)) 1049934947/10000000000)) 1)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (/.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64)))) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))))

Outputs

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

17 → 2

Calls

Call 1

Inputs
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Outputs

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0%)

Memory

-24.4MiB live, 15.0MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

5 → 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))
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))) x)
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (.f64 x x) #s(approx (+ ( x (* x 3321371254951887171/12500000000000000000)) -833192009/1250000000) #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))) x)
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

2 → 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))

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
95.8%	2	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)
99.1%	2	`x`

Compiler

Compiled 176 to 45 computations (74.4% saved)

regimes4.0ms (0%)

Memory

-30.3MiB live, 8.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

2 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
58.3%	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)
58.3%	1	`x`

Compiler

Compiled 176 to 45 computations (74.4% saved)

bsearch59.0ms (0.3%)

Memory

16.2MiB live, 95.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
52.0ms	4.746429198991232	628746928.9421451

Samples

44.0ms

144×

valid

Compiler

Compiled 1 635 to 507 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

const: 16.0ms (40.1% of total)

ival-mult: 14.0ms (35.1% of total)

ival-add: 8.0ms (20% of total)

ival-div: 1.0ms (2.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	4.746429198991232	628746928.9421451

Compiler

Compiled 831 to 318 computations (61.7% saved)

bsearch24.0ms (0.1%)

Memory

-18.9MiB live, 19.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	4.746429198991232	628746928.9421451

Samples

18.0ms

48×

valid

Compiler

Compiled 1 131 to 426 computations (62.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

const: 9.0ms (55.2% of total)

ival-mult: 5.0ms (30.7% of total)

ival-add: 2.0ms (12.3% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch30.0ms (0.1%)

Memory

27.4MiB live, 27.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	1.4217698503385678	4.746429198991232

Samples

23.0ms

80×

valid

Compiler

Compiled 687 to 273 computations (60.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 8.0ms (39.6% of total)

const: 8.0ms (39.6% of total)

ival-add: 3.0ms (14.8% 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)

bsearch75.0ms (0.4%)

Memory

2.7MiB live, 41.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
69.0ms	0.0004311249108119231	1.4217698503385678

Samples

64.0ms

128×

valid

Compiler

Compiled 449 to 216 computations (51.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

const: 41.0ms (68.1% of total)

ival-mult: 13.0ms (21.6% of total)

ival-add: 6.0ms (10% of total)

ival-div: 1.0ms (1.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch43.0ms (0.2%)

Memory

-31.7MiB live, 7.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.0004311249108119231	1.4217698503385678

Samples

5.0ms

16×

valid

Compiler

Compiled 401 to 192 computations (52.1% saved)

Precisions

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

ival-mult: 2.0ms (49.5% of total)

const: 2.0ms (49.5% of total)

ival-add: 1.0ms (24.7% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch18.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.0004311249108119231	1.4217698503385678

Samples

13.0ms

48×

valid

Compiler

Compiled 353 to 160 computations (54.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 5.0ms (41.6% of total)

const: 5.0ms (41.6% of total)

ival-add: 2.0ms (16.6% 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)

bsearch73.0ms (0.3%)

Memory

-11.7MiB live, 31.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
69.0ms	0.0004311249108119231	1.4217698503385678

Samples

67.0ms

64×

valid

Compiler

Compiled 313 to 136 computations (56.5% saved)

Precisions

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

ival-mult: 54.0ms (83.5% of total)

const: 7.0ms (10.8% of total)

ival-add: 3.0ms (4.6% 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)

bsearch13.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.0004311249108119231	1.4217698503385678

Samples

9.0ms

32×

valid

Compiler

Compiled 273 to 112 computations (59% saved)

Precisions

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

ival-mult: 3.0ms (35.9% of total)

const: 3.0ms (35.9% of total)

ival-add: 1.0ms (12% 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)

simplify18.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Algorithm

1×	egg-herbie

Rules

88×	`*-commutative_binary64`
22×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	204	3250
1	262	3250

Stop Event

1×

saturated

Calls

Call 1

Inputs
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(if (<=.f64 x #s(literal 50000000 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64) #s(literal 2532017/5000000000 binary64)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64)) (/.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/5000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))))) (fma.f64 (.f64 x x) #s(approx (+ ( x (+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64))) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))))) #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)))
(if (<=.f64 x #s(literal 60000000 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64) #s(literal 2532017/5000000000 binary64)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64)) (/.f64 x (fma.f64 (.f64 x x) (+.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) #s(approx (+ (* x (+ (* x (* (* x (* x (* x x))) 70002721/5000000000)) (* x (* (* x x) 694555761/10000000000)))) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64)) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64)))) #s(literal 1 binary64)))) #s(approx ( (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 x #s(literal 8106479329266893/4503599627370496 binary64)) (.f64 (.f64 #s(approx (+ (* (* x x) (* (* (* x x) (* x (* x (* x x)))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000))) (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 36322091/5000000000)) 106015151/2500000000)) 1049934947/10000000000)) 1)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (+.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64)) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))) #s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x)))
(if (<=.f64 x #s(literal 2589569785738035/2251799813685248 binary64)) (.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64))) x) #s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x)))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64))) x) #s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)))
(if (<=.f64 x #s(literal 7926335344172073/9007199254740992 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 x (.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64))) x) #s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 x #s(literal 3602879701896397/4503599627370496 binary64)) (.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))) x) #s(approx ( (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 x #s(literal 3152519739159347/4503599627370496 binary64)) (.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x) #s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x)))
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Outputs
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soundness1.5s (7.1%)

Memory

-6.3MiB live, 868.4MiB allocated

Rules

13 616×	`lower-fma.f64`
13 616×	`lower-fma.f32`
9 546×	`lower-fma.f32`
9 520×	`lower-fma.f64`
9 380×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	247	2732
1	696	2694
2	1674	2679
3	4320	2648
0	8084	2544
0	158	1024
1	440	1024
2	1071	1016
3	2793	1016
4	4923	1016
5	6596	1016
0	8655	980
0	44	658
0	76	458
1	304	312
2	3040	274
0	9946	232
0	152	1486
0	244	1146
1	1053	862
0	8587	815
0	110	2070
0	197	1361
1	861	1001
2	7286	1001
0	8304	935

Stop Event

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

Compiler

Compiled 1 099 to 357 computations (67.5% saved)

preprocess152.0ms (0.7%)

Memory: 8.4MiB live, 242.7MiB allocated
Compiler: Compiled 2 194 to 564 computations (74.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample4.0s (19.2%)

explain899.0ms (4.3%)

preprocess445.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify455.0ms (2.2%)

localize144.0ms (0.7%)

series18.0ms (0.1%)

simplify198.0ms (1%)

rewrite516.0ms (2.5%)

eval155.0ms (0.7%)

prune133.0ms (0.6%)

simplify447.0ms (2.1%)

localize412.0ms (2%)

series60.0ms (0.3%)

simplify296.0ms (1.4%)

rewrite436.0ms (2.1%)

eval570.0ms (2.7%)

prune624.0ms (3%)

simplify431.0ms (2.1%)

localize697.0ms (3.3%)

series43.0ms (0.2%)

simplify309.0ms (1.5%)

rewrite412.0ms (2%)

eval341.0ms (1.6%)

prune2.2s (10.6%)

simplify463.0ms (2.2%)

localize466.0ms (2.2%)

series49.0ms (0.2%)

simplify294.0ms (1.4%)

rewrite386.0ms (1.9%)

eval297.0ms (1.4%)

prune2.5s (12.2%)

regimes30.0ms (0.1%)

regimes13.0ms (0.1%)

regimes13.0ms (0.1%)

regimes8.0ms (0%)

regimes8.0ms (0%)

regimes7.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

bsearch59.0ms (0.3%)

bsearch2.0ms (0%)

bsearch24.0ms (0.1%)

bsearch30.0ms (0.1%)

bsearch75.0ms (0.4%)

bsearch43.0ms (0.2%)

bsearch18.0ms (0.1%)

bsearch73.0ms (0.3%)

bsearch13.0ms (0.1%)

simplify18.0ms (0.1%)

soundness1.5s (7.1%)

preprocess152.0ms (0.7%)

end0.0ms (0%)

Profiling