Metrics for Jmat.Real.dawson

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory

2.2MiB live, 2.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 175 to 46 computations (73.7% saved)

sample3.8s (3%)

Memory

131.5MiB live, 5 508.3MiB allocated

Samples

3.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 2.8s

const: 1.2s (41.8% of total)

ival-mult: 1.1s (38.6% of total)

ival-add: 475.0ms (16.8% of total)

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

exact: 11.0ms (0.4% of total)

ival-true: 7.0ms (0.2% of total)

ival-assert: 4.0ms (0.1% of total)

Bogosity

explain1.1s (0.9%)

Memory

28.1MiB live, 1 672.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
118	-	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)))))
66	-	2	(-5.714868093921604e+158)	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)
0	-	0	-	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))
0	-	0	-	`(.f64 (.f64 x x) (*.f64 x x))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`#s(literal 1049934947/10000000000 binary64)`
0	-	0	-	`#s(literal 70002721/5000000000 binary64)`
0	-	0	-	`(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))))`
0	-	0	-	`#s(literal 2532017/5000000000 binary64)`
0	-	0	-	`(.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))`
0	-	0	-	`(.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))`
0	-	0	-	`(.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))`
0	-	0	-	`(.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))`
0	-	0	-	`(.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))`
0	-	0	-	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))
0	-	0	-	`(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x))))`
0	-	0	-	`#s(literal 7715471019/10000000000 binary64)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`
0	-	0	-	`(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (*.f64 x x))`
0	-	0	-	`#s(literal 1789971/10000000000 binary64)`
0	-	0	-	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))))
0	-	0	-	`(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x)))`
0	-	0	-	`#s(literal 694555761/10000000000 binary64)`
0	-	0	-	`(.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))`
0	-	0	-	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x)))`
0	-	0	-	`#s(literal 2909738639/10000000000 binary64)`
0	-	0	-	`(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x))))`
0	-	0	-	`(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))`
0	-	0	-	`(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`
0	-	0	-	`(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x))))`
0	-	0	-	`(+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x)))`
0	-	0	-	`#s(literal 106015151/2500000000 binary64)`
0	-	0	-	`(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x))))`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`#s(literal 36322091/5000000000 binary64)`
0	-	0	-	`#s(literal 1665589/2000000000 binary64)`
0	-	0	-	`(.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))`
0	-	0	-	`(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))))`
0	-	0	-	`(.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))`
0	-	0	-	`(.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))`
0	-	0	-	`(*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64))`
0	-	0	-	`(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x)))))	o/o	116	0
↳	`(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))`	overflow	324
↳	`(+.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	98
↳	`(.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))`	overflow	98
↳	(+.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	116
↳	`(*.f64 x x)`	overflow	990
↳	`(+.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	112
↳	`(.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))`	overflow	112
↳	`(.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))`	overflow	108
↳	`(.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	116
↳	`(.f64 (.f64 x x) (*.f64 x x))`	overflow	392
↳	`(.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	116
↳	`(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	224
↳	`(.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))`	overflow	66
↳	`(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x)))`	overflow	66
↳	`(+.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	108
↳	`(.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))`	overflow	98
↳	`(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	118
↳	(+.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	118
↳	`(.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	116
↳	`(.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	232
↳	`(.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	118
↳	`(.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))`	overflow	112
↳	`(.f64 (.f64 x x) (*.f64 x x))`	overflow	490
↳	`(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))`	overflow	432
↳	`(+.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	112
↳	`(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	336
↳	`(+.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	98
↳	`(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))`	overflow	66
↳	`(.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))`	overflow	108
↳	`(+.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	108
↳	`(*.f64 x x)`	overflow	1386
↳	(+.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	116
↳	`(+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x)))`	overflow	66
`*.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**	64	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	98
↳	`(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	118
↳	(+.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	118
↳	`(.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	116
↳	`(.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	232
↳	`(.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	118
↳	`(.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))`	overflow	112
↳	`(.f64 (.f64 x x) (*.f64 x x))`	overflow	490
↳	`(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))`	overflow	432
↳	`(+.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	112
↳	`(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	336
↳	`(+.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	98
↳	`(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))`	overflow	66
↳	`(.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))`	overflow	108
↳	`(+.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	108
↳	`(*.f64 x x)`	overflow	1386
↳	(+.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	116
↳	`(+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x)))`	overflow	66

Confusion

	Predicted +	Predicted -
+	118	0
-	0	138

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	118	0	0
-	0	0	138

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	138
1	54
2	64

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

247.0ms

512×

valid

Compiler

Compiled 2 266 to 136 computations (94% saved)

Precisions

Click to see histograms. Total time spent on operations: 203.0ms

const: 84.0ms (41.4% of total)

ival-mult: 61.0ms (30% of total)

ival-add: 54.0ms (26.6% of total)

ival-div: 3.0ms (1.5% of total)

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

exact: 1.0ms (0.5% of total)

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

preprocess421.0ms (0.3%)

Memory

-5.8MiB live, 579.6MiB allocated

Algorithm

1×	egg-herbie

Rules

23 654×	`lower-fma.f64`
23 654×	`lower-fma.f32`
4 254×	`lower-*.f32`
4 218×	`lower-*.f64`
3 054×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	345
1	205	215
2	1306	155
0	44	171
0	76	171
1	219	107
2	1174	77
3	7166	75
0	8232	64

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

Symmetry

(negabs x)

Samples

1.0ms	1×	2	valid
0.0ms	1×	0	valid

Compiler

Compiled 692 to 145 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

const: 1.0ms (60.1% of total)

adjust: 0.0ms (0% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.9%	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)

Status

Accuracy

Program

▶

53.9%

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

Compiler

Compiled 174 to 44 computations (74.7% saved)

simplify4.4s (3.5%)

Memory

-617.9MiB live, 5 967.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	1408	(+.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 (+.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	1408	(+.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	2048	(+.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

23 654×	`lower-fma.f64`
23 654×	`lower-fma.f32`
4 254×	`lower-*.f32`
4 218×	`lower-*.f64`
3 054×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	1034
0	76	1034
1	219	666
2	1174	496
3	7166	484
0	8232	426

Stop Event

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

Calls

Call 1

Inputs
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Outputs
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(fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x x) #s(literal 1665589/2000000000 binary64) #s(literal 70002721/5000000000 binary64)) (fma.f64 (.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))) #s(literal 1 binary64)))
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(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))
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#s(literal 70002721/5000000000 binary64)
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#s(literal 1665589/2000000000 binary64)
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(*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64))
#s(literal 1789971/5000000000 binary64)
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Samples

1.4s	13 141×	0	valid
21.0ms	59×	2	valid

Compiler

Compiled 335 184 to 165 364 computations (50.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-mult: 490.0ms (45.3% of total)

const: 405.0ms (37.4% of total)

ival-add: 106.0ms (9.8% of total)

ival-sub: 32.0ms (3% of total)

ival-fabs: 12.0ms (1.1% of total)

ival-true: 12.0ms (1.1% of total)

ival-div: 11.0ms (1% of total)

ival-assert: 6.0ms (0.6% of total)

exact: 6.0ms (0.6% of total)

adjust: 3.0ms (0.3% of total)

localize169.0ms (0.1%)

Memory

5.3MiB live, 285.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.14453125	(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))
accuracy	0.203125	(.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))
accuracy	15.129059654893306	(.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	28.977034796037053	(/.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

104.0ms

256×

valid

Compiler

Compiled 1 046 to 46 computations (95.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

const: 32.0ms (39.6% of total)

ival-mult: 30.0ms (37.1% of total)

ival-add: 17.0ms (21% of total)

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

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

exact: 0.0ms (0% of total)

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

series23.0ms (0%)

Memory

-0.6MiB live, 37.3MiB allocated

Counts

8 → 96

Calls

Call 1

Inputs
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Outputs
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#s(alt (* 7715471019/10000000000 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x)) (patch (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x)
1.0ms	x	@	inf	(+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))
1.0ms	x	@	inf	(+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x))))
1.0ms	x	@	0	(* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x)
1.0ms	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))))

simplify6.2s (4.8%)

Memory

170.9MiB live, 10 511.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 194×	`lower-fma.f64`
9 194×	`lower-fma.f32`
4 706×	`lower-*.f64`
4 706×	`lower-*.f32`
2 578×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	1026
1	547	1026
2	1724	1017
3	7230	1017
0	8349	981

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 95

Calls

Call 1

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

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

Samples

2.7s	26 282×	0	valid
23.0ms	58×	2	valid

Compiler

Compiled 437 912 to 316 150 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0s

const: 775.0ms (38.2% of total)

ival-mult: 553.0ms (27.2% of total)

ival-div: 221.0ms (10.9% of total)

ival-add: 188.0ms (9.3% of total)

ival-pow: 175.0ms (8.6% of total)

ival-sub: 47.0ms (2.3% of total)

ival-true: 25.0ms (1.2% of total)

exact: 22.0ms (1.1% of total)

ival-assert: 14.0ms (0.7% of total)

ival-neg: 8.0ms (0.4% of total)

adjust: 3.0ms (0.1% of total)

rewrite364.0ms (0.3%)

Memory

47.8MiB live, 516.0MiB allocated

Rules

5 852×	`lower-fma.f64`
5 852×	`lower-fma.f32`
5 024×	`lower-*.f32`
4 988×	`lower-*.f64`
2 962×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	638
0	76	446
1	361	310
2	3855	274
0	8144	232

Stop Event

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

Counts

8 → 485

Calls

Call 1

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

Outputs
(+.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))))))
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(.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.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 (.f64 x (.f64 x 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 x (.f64 x #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x 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 (/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.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 (.f64 x (.f64 x 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 x (.f64 x #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) (fma.f64 #s(literal 5735060247816145611/125000000000000000000000000000 binary64) (pow.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64)) (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64) (.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64))) (fma.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x) #s(literal 1 binary64)))) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (-.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64) (.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64))) (fma.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x) #s(literal 1 binary64))))) (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64) (.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64))) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.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 (.f64 x (.f64 x 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 x (.f64 x #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) (-.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64) (.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64))) (fma.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 x x) #s(literal 12 binary64)) #s(literal 3203996180841/25000000000000000000 binary64)))) (+.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64) (.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64))) (fma.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))) #s(literal -1789971/5000000000 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64)))
(.f64 x (.f64 x #s(literal 1049934947/10000000000 binary64)))
(.f64 (.f64 x x) #s(literal 1049934947/10000000000 binary64))
(.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))
(.f64 (.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1049934947/10000000000 binary64)))
(.f64 (.f64 x #s(literal 1049934947/10000000000 binary64)) x)
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1049934947/10000000000 binary64))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1049934947/10000000000 binary64))) x)
(.f64 (.f64 #s(literal 1049934947/10000000000 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x)))
(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 7715471019/10000000000 binary64) x))
(.f64 (.f64 x x) #s(literal 7715471019/10000000000 binary64))
(.f64 (.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x)) #s(literal 1 binary64))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 7715471019/10000000000 binary64)))
(.f64 (.f64 #s(literal 7715471019/10000000000 binary64) x) x)
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 7715471019/10000000000 binary64))
(.f64 (.f64 #s(literal 7715471019/10000000000 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) x)) x)

eval128.0ms (0.1%)

Memory: -23.0MiB live, 248.8MiB allocated
Compiler: Compiled 105 162 to 2 458 computations (97.7% saved)

prune139.0ms (0.1%)

Memory

7.1MiB live, 223.1MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	570	10	580
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	571	10	581

Accuracy

100.0%

Counts

581 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.9%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.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 (.f64 x (.f64 x 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 x (.f64 x #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x 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)))))
▶	51.7%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))) x)
	52.4%	(.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))))) (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)
	25.8%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.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))) x)
▶	52.7%	(.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)
	51.7%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64))) #s(literal -833192009/1250000000 binary64)) (.f64 x (.f64 x x)) x))
	49.9%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (+.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))
▶	49.8%	#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 (+.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))
▶	49.8%	#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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
	49.9%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 546 to 228 computations (58.2% saved)

simplify4.9s (3.8%)

Memory

113.9MiB live, 7 453.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))
cost-diff	0	(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x)))
cost-diff	0	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x)
cost-diff	0	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x 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))
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 (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x 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))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))) x)
cost-diff	0	#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64))
cost-diff	0	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
cost-diff	640	(fma.f64 (.f64 x x) (fma.f64 (.f64 (.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 (.f64 x (.f64 x 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 x (*.f64 x #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))
cost-diff	1280	(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 70002721/5000000000 binary64)))
cost-diff	1920	(fma.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x)))))
cost-diff	1920	(fma.f64 (.f64 (.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 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))

Rules

14 714×	`lower-fma.f32`
14 692×	`lower-fma.f64`
6 714×	`lower-*.f32`
6 682×	`lower-*.f64`
2 604×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	1825
0	144	1365
1	477	1003
2	2347	895
0	8131	820

Stop Event

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

Calls

Call 1

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

Outputs
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x
(fma.f64 (.f64 x x) (fma.f64 (.f64 (.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 (.f64 x (.f64 x 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 x (*.f64 x #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))
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(*.f64 x x)
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(*.f64 x x)
x

Samples

2.2s	20 816×	0	valid
37.0ms	97×	2	valid

Compiler

Compiled 342 751 to 201 644 computations (41.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.7s

const: 947.0ms (54.2% of total)

ival-mult: 509.0ms (29.1% of total)

ival-add: 122.0ms (7% of total)

ival-div: 64.0ms (3.7% of total)

ival-sub: 34.0ms (1.9% of total)

ival-true: 19.0ms (1.1% of total)

ival-neg: 17.0ms (1% of total)

ival-fabs: 11.0ms (0.6% of total)

ival-assert: 10.0ms (0.6% of total)

exact: 8.0ms (0.5% of total)

adjust: 4.0ms (0.2% of total)

localize345.0ms (0.3%)

Memory

-6.5MiB live, 525.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.015625	(/.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	0.3096827105683736	(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))
accuracy	0.4242196297524102	(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
accuracy	32.114649591739756	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x 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))
accuracy	0	(*.f64 x x)
accuracy	0.0390625	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
accuracy	0.40019023010525767	(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
accuracy	32.14827088448182	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x 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))
accuracy	0	(*.f64 x x)
accuracy	0.046875	(fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))
accuracy	15.129059654893306	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))) x)
accuracy	30.83405671676023	#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64)))
accuracy	15.129059654893306	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
accuracy	30.10365923052926	#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x 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	0.17578125	(.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x))
accuracy	0.185878759768442	(.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64))
accuracy	0.32421875	(*.f64 x #s(literal 1049934947/10000000000 binary64))
accuracy	28.858647824333374	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.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 (.f64 x (.f64 x 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 x (.f64 x #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x 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)))))

Samples

188.0ms

256×

valid

Compiler

Compiled 1 833 to 96 computations (94.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

ival-mult: 65.0ms (40.7% of total)

const: 52.0ms (32.5% of total)

ival-add: 31.0ms (19.4% of total)

ival-div: 11.0ms (6.9% of total)

exact: 1.0ms (0.6% of total)

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

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

series45.0ms (0%)

Memory

-7.4MiB live, 67.9MiB allocated

Counts

23 → 276

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 (.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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 (.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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x 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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64))) (patch (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 (.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 (.f64 x (.f64 x 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 x (.f64 x #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 (.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 (.f64 x (.f64 x 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 x (.f64 x #s(literal 1049934947/10000000000 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))))) (fma.f64 (.f64 x x) #s(literal -833192009/1250000000 binary64) #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))))) (fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #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))))) (fma.f64 (.f64 x x) #s(literal -833192009/1250000000 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)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x 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)) (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))))) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) x) (patch (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) x) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (patch (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) (patch (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x 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)) (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))))) 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)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x) (patch (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x) #<representation binary64>) () ())
#s(alt (+.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))) (patch (+.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))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x)) (patch (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.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 (.f64 x (.f64 x 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 x (.f64 x #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x 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))))) (patch (/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.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 (.f64 x (.f64 x 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 x (.f64 x #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x 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))))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1049934947/10000000000 binary64)) (patch (.f64 x #s(literal 1049934947/10000000000 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64)) (patch (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (patch (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) #<representation binary64>) () ())
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Outputs
#s(alt (* 2532017/5000000000 (pow x 6)) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 (.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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 2532017/5000000000 (* 1789971/10000000000 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 (.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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 2532017/5000000000 (* 1789971/10000000000 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 (.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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 2532017/5000000000 (* 1789971/10000000000 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 (.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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* 1789971/10000000000 (pow x 8)) (taylor inf x) (#s(alt (fma.f64 (.f64 (.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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 (.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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 (.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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 (.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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 (.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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 (.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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 (.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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 (.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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* 1789971/10000000000 (pow x 8)) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 (.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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 (.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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 (.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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 (.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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* 1665589/2000000000 (pow x 8)) (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* 1789971/5000000000 (pow x 10)) (taylor inf x) (#s(alt (fma.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) #<representation binary64>) () ())) ())
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#s(alt (* 1049934947/10000000000 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1049934947/10000000000 binary64)) (patch (.f64 x #s(literal 1049934947/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1049934947/10000000000 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1049934947/10000000000 binary64)) (patch (.f64 x #s(literal 1049934947/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2909738639/10000000000 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64)) (patch (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2909738639/10000000000 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64)) (patch (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2909738639/10000000000 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64)) (patch (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2909738639/10000000000 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64)) (patch (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2909738639/10000000000 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64)) (patch (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2909738639/10000000000 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64)) (patch (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2909738639/10000000000 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64)) (patch (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2909738639/10000000000 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64)) (patch (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2909738639/10000000000 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64)) (patch (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2909738639/10000000000 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64)) (patch (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2909738639/10000000000 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64)) (patch (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2909738639/10000000000 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64)) (patch (.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1665589/2000000000 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (patch (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1665589/2000000000 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (patch (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1665589/2000000000 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (patch (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1665589/2000000000 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (patch (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1665589/2000000000 (pow x 2)) (taylor inf x) (#s(alt (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (patch (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1665589/2000000000 (pow x 2)) (taylor inf x) (#s(alt (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (patch (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1665589/2000000000 (pow x 2)) (taylor inf x) (#s(alt (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (patch (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1665589/2000000000 (pow x 2)) (taylor inf x) (#s(alt (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (patch (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1665589/2000000000 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (patch (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1665589/2000000000 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (patch (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1665589/2000000000 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (patch (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1665589/2000000000 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (patch (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1307076337763/8543989815576 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1307076337763/8543989815576 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1307076337763/8543989815576 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1307076337763/8543989815576 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1307076337763/8543989815576 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1307076337763/8543989815576 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1307076337763/8543989815576 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1307076337763/8543989815576 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1307076337763/8543989815576 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1307076337763/8543989815576 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1307076337763/8543989815576 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1307076337763/8543989815576 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x)) #<representation binary64>) () ())) ())

Calls

69 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(+ (* (* x x) -833192009/1250000000) 1)
1.0ms	x	@	0	(/ (+ 1/2 (/ 600041/2386628 (* x x))) x)
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	(+ (* (* 1665589/2000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))) (* (* 1789971/5000000000 (* (* x (* x x)) (* x (* x x)))) (* x (* x (* x x)))))
0.0ms	x	@	inf	(+ (* (* (* x (* x x)) (* x (* x x))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))))

simplify17.3s (13.5%)

Memory

-69.0MiB live, 23 651.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 436×	`lower-fma.f64`
8 436×	`lower-fma.f32`
4 722×	`lower-*.f64`
4 722×	`lower-*.f32`
2 436×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	2480
1	482	2450
2	1456	2399
3	6421	2399
0	8361	2320

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 271

Calls

Call 1

Inputs
(* 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)))))
(* 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)))))
(* 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 (* 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)))))))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
1
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
1
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
1
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* -833192009/1250000000 (pow x 2)))
(* -833192009/1250000000 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* -833192009/1250000000 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(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))
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 x)
(* 1049934947/10000000000 x)
(* 1049934947/10000000000 x)
(* 1049934947/10000000000 x)
(* 1049934947/10000000000 x)
(* 1049934947/10000000000 x)
(* 1049934947/10000000000 x)
(* 1049934947/10000000000 x)
(* 1049934947/10000000000 x)
(* 1049934947/10000000000 x)
(* 1049934947/10000000000 x)
(* 1049934947/10000000000 x)
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 1665589/2000000000 (pow x 2))
(* 1665589/2000000000 (pow x 2))
(* 1665589/2000000000 (pow x 2))
(* 1665589/2000000000 (pow x 2))
(* 1665589/2000000000 (pow x 2))
(* 1665589/2000000000 (pow x 2))
(* 1665589/2000000000 (pow x 2))
(* 1665589/2000000000 (pow x 2))
(* 1665589/2000000000 (pow x 2))
(* 1665589/2000000000 (pow x 2))
(* 1665589/2000000000 (pow x 2))
(* 1665589/2000000000 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))

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

Samples

7.6s	73 452×	0	valid
52.0ms	120×	2	valid

Compiler

Compiled 1 101 156 to 755 617 computations (31.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.7s

ival-mult: 2.3s (40.1% of total)

const: 1.8s (32.7% of total)

ival-div: 688.0ms (12.2% of total)

ival-add: 389.0ms (6.9% of total)

ival-pow: 153.0ms (2.7% of total)

ival-sub: 113.0ms (2% of total)

ival-true: 70.0ms (1.2% of total)

exact: 39.0ms (0.7% of total)

ival-assert: 37.0ms (0.7% of total)

ival-neg: 27.0ms (0.5% of total)

ival-fabs: 19.0ms (0.3% of total)

adjust: 6.0ms (0.1% of total)

rewrite376.0ms (0.3%)

Memory

5.7MiB live, 549.5MiB allocated

Rules

12 648×	`lower-fma.f32`
12 626×	`lower-fma.f64`
6 438×	`lower-*.f32`
6 406×	`lower-*.f64`
2 520×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	1442
0	144	962
1	866	728
0	8243	664

Stop Event

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

Counts

23 → 750

Calls

Call 1

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

Outputs
(+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2532017/5000000000 binary64))))))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2532017/5000000000 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64))))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2532017/5000000000 binary64))))) (neg.f64 (.f64 (.f64 (.f64 x x) #s(literal -1789971/10000000000 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2532017/5000000000 binary64))))) (.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -1789971/10000000000 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2532017/5000000000 binary64))))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 6411110088289/25000000000000000000 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 6411110088289/25000000000000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2532017/5000000000 binary64))))))))) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64))) (.f64 #s(literal 3203996180841/100000000000000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 6411110088289/25000000000000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2532017/5000000000 binary64))))))))))
(-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64))) (.f64 (neg.f64 (.f64 x (.f64 x x))) (.f64 x (.f64 (.f64 x x) #s(literal 2532017/5000000000 binary64)))))
(-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64))) (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 2532017/5000000000 binary64)))
(-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64))) (.f64 #s(literal -2532017/5000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
(-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2532017/5000000000 binary64))))) (.f64 (.f64 (.f64 x x) #s(literal -1789971/10000000000 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
(-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2532017/5000000000 binary64))))) (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64))))
(-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2532017/5000000000 binary64))))) (.f64 #s(literal -1789971/10000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
(-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2532017/5000000000 binary64))))) (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 6411110088289/25000000000000000000 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64))))) (/.f64 (.f64 #s(literal 3203996180841/100000000000000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64))))))
(fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 2532017/5000000000 binary64))))))
(fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 2532017/5000000000 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))
(fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 2532017/5000000000 binary64)))) (neg.f64 (.f64 (.f64 (.f64 x x) #s(literal -1789971/10000000000 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 2532017/5000000000 binary64)))) (.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -1789971/10000000000 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 2532017/5000000000 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))
(fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 2532017/5000000000 binary64)) (neg.f64 (.f64 (.f64 (.f64 x x) #s(literal -1789971/10000000000 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 2532017/5000000000 binary64)) (.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -1789971/10000000000 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 2532017/5000000000 binary64))))))
(fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 2532017/5000000000 binary64))))))
(fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 2532017/5000000000 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))
(fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 2532017/5000000000 binary64)) (neg.f64 (.f64 (.f64 (.f64 x x) #s(literal -1789971/10000000000 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 2532017/5000000000 binary64)) (.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -1789971/10000000000 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2532017/5000000000 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2532017/5000000000 binary64)))) (neg.f64 (.f64 (.f64 (.f64 x x) #s(literal -1789971/10000000000 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2532017/5000000000 binary64)))) (.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -1789971/10000000000 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 2532017/5000000000 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 2532017/5000000000 binary64))) (neg.f64 (.f64 (.f64 (.f64 x x) #s(literal -1789971/10000000000 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 2532017/5000000000 binary64))) (.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -1789971/10000000000 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 2532017/5000000000 binary64))))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2532017/5000000000 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) #s(literal -1789971/10000000000 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2532017/5000000000 binary64) (.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -1789971/10000000000 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 2532017/5000000000 binary64))))))
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eval324.0ms (0.3%)

Memory: 28.3MiB live, 609.6MiB allocated
Compiler: Compiled 185 343 to 4 641 computations (97.5% saved)

prune1.8s (1.4%)

Memory

9.9MiB live, 3 836.5MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1 665	6	1 671
Fresh	3	2	5
Picked	1	4	5
Done	0	0	0
Total	1 669	12	1 681

Accuracy

100.0%

Counts

1 681 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.9%	(/.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 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 694555761/10000000000 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))
✓	51.7%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))) x)
	52.4%	(.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))))) (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)
✓	52.7%	(.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)
▶	51.7%	#s(approx (/ (* x (+ (* (* x x) (+ (* (* (* x (* x x)) (* x (* x x))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* x (* x 1049934947/10000000000)) 1)))) (+ (* (* x x) (+ (* (* 1665589/2000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))) (* (* 1789971/5000000000 (* (* x (* x x)) (* x (* x x)))) (* x (* x (* x x)))))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* (* x (* x x)) (* x (* x x))) 70002721/5000000000))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (fma.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64))) #s(literal -833192009/1250000000 binary64)))) x))
▶	49.9%	#s(approx (/ (* x (+ (* (* x x) (+ (* (* (* x (* x x)) (* x (* x x))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* x (* x 1049934947/10000000000)) 1)))) (+ (* (* x x) (+ (* (* 1665589/2000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))) (* (* 1789971/5000000000 (* (* x (* x x)) (* x (* x x)))) (* x (* x (* x x)))))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* (* x (* x x)) (* x (* x x))) 70002721/5000000000))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 #s(literal 1/2 binary64) x))
▶	25.7%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 x (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)))) (*.f64 x x)))
▶	49.9%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (+.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))
✓	49.8%	#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 (+.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))
✓	49.8%	#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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
	49.8%	#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 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1/2 binary64) x)))
	8.5%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) #s(approx (/ (+ 1/2 (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x))) x) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) #s(literal 1307076337763/8543989815576 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))

Compiler

Compiled 509 to 240 computations (52.8% saved)

simplify5.4s (4.2%)

Memory

195.3MiB live, 8 369.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
cost-diff	0	(/.f64 (+.f64 (+.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)
cost-diff	0	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (+.f64 (+.f64 #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))
cost-diff	640	(+.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)))))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) x (.f64 x (/.f64 #s(literal 600041/2386628 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))))) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 x (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)))) (*.f64 x x)))
cost-diff	64	(/.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 x (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)))) (*.f64 x x))
cost-diff	512	(.f64 x (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)))
cost-diff	0	(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64))) #s(literal -833192009/1250000000 binary64)))
cost-diff	0	(.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64))) #s(literal -833192009/1250000000 binary64))))
cost-diff	0	(fma.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64))) #s(literal -833192009/1250000000 binary64)))) x)
cost-diff	0	#s(approx (/ (* x (+ (* (* x x) (+ (* (* (* x (* x x)) (* x (* x x))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* x (* x 1049934947/10000000000)) 1)))) (+ (* (* x x) (+ (* (* 1665589/2000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))) (* (* 1789971/5000000000 (* (* x (* x x)) (* x (* x x)))) (* x (* x (* x x)))))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* (* x (* x x)) (* x (* x x))) 70002721/5000000000))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (fma.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64))) #s(literal -833192009/1250000000 binary64)))) x))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (/ (* x (+ (* (* x x) (+ (* (* (* x (* x x)) (* x (* x x))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* x (* x 1049934947/10000000000)) 1)))) (+ (* (* x x) (+ (* (* 1665589/2000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))) (* (* 1789971/5000000000 (* (* x (* x x)) (* x (* x x)))) (* x (* x (* x x)))))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* (* x (* x x)) (* x (* x x))) 70002721/5000000000))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 #s(literal 1/2 binary64) x))
cost-diff	320	(fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (*.f64 x #s(literal 106015151/2500000000 binary64)))
cost-diff	512	(fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 694555761/10000000000 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))
cost-diff	640	(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (*.f64 x x)))))
cost-diff	640	(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 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))

Rules

14 838×	`lower-fma.f32`
14 808×	`lower-fma.f64`
7 000×	`lower-*.f32`
6 958×	`lower-*.f64`
2 016×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	1494
0	214	1112
1	732	937
2	3329	895
0	8420	848

Stop Event

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

Calls

Call 1

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

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

Samples

2.2s	25 620×	0	valid
45.0ms	133×	2	valid

Compiler

Compiled 430 701 to 262 626 computations (39% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.7s

const: 762.0ms (44.9% of total)

ival-mult: 587.0ms (34.6% of total)

ival-add: 143.0ms (8.4% of total)

ival-div: 92.0ms (5.4% of total)

ival-sub: 35.0ms (2.1% of total)

ival-true: 24.0ms (1.4% of total)

ival-neg: 15.0ms (0.9% of total)

ival-assert: 13.0ms (0.8% of total)

adjust: 10.0ms (0.6% of total)

ival-fabs: 10.0ms (0.6% of total)

exact: 7.0ms (0.4% of total)

localize489.0ms (0.4%)

Memory

5.8MiB live, 708.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.12228039354756681	(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
accuracy	0.4001902301052576	(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
accuracy	0.41112743996401213	(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
accuracy	32.05149100647975	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (+.f64 (+.f64 #s(literal 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))
accuracy	0.4001902301052576	(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
accuracy	15.435615782099607	(/.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 x (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)))) (*.f64 x x))
accuracy	30.80052312000857	(.f64 x (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)))
accuracy	32.14827088448182	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 x (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)))) (*.f64 x x)))
accuracy	0.08203125	(.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64))) #s(literal -833192009/1250000000 binary64))))
accuracy	0.30078125	(.f64 x (fma.f64 x (.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64)))
accuracy	0.36328125	(*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))
accuracy	30.891855782957844	#s(approx (/ (* x (+ (* (* x x) (+ (* (* (* x (* x x)) (* x (* x x))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* x (* x 1049934947/10000000000)) 1)))) (+ (* (* x x) (+ (* (* 1665589/2000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))) (* (* 1789971/5000000000 (* (* x (* x x)) (* x (* x x)))) (* x (* x (* x x)))))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* (* x (* x x)) (* x (* x x))) 70002721/5000000000))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (fma.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64))) #s(literal -833192009/1250000000 binary64)))) x))
accuracy	0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	32.08168116369088	#s(approx (/ (* x (+ (* (* x x) (+ (* (* (* x (* x x)) (* x (* x x))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* x (* x 1049934947/10000000000)) 1)))) (+ (* (* x x) (+ (* (* 1665589/2000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))) (* (* 1789971/5000000000 (* (* x (* x x)) (* x (* x x)))) (* x (* x (* x x)))))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* (* x (* x x)) (* x (* x x))) 70002721/5000000000))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 #s(literal 1/2 binary64) x))
accuracy	0.11328125	(.f64 (.f64 x (*.f64 x x)) #s(literal 70002721/5000000000 binary64))
accuracy	0.11328125	(*.f64 x #s(literal 106015151/2500000000 binary64))
accuracy	0.33009379037556197	(.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (*.f64 x x)))
accuracy	28.858647824333374	(/.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 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 694555761/10000000000 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))

Samples

330.0ms

256×

valid

Compiler

Compiled 1 492 to 146 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 291.0ms

ival-mult: 119.0ms (40.9% of total)

const: 104.0ms (35.7% of total)

ival-add: 48.0ms (16.5% of total)

ival-div: 19.0ms (6.5% of total)

exact: 1.0ms (0.3% of total)

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

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

series52.0ms (0%)

Memory

8.3MiB live, 86.8MiB allocated

Counts

27 → 324

Calls

Call 1

Inputs
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#s(alt (/.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 x (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)))) (.f64 x x)) (patch (/.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 x (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)))) (.f64 x x)) #<representation binary64>) () ())
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#s(alt (+.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))))) (patch (+.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))))) #<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))))) 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)) (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))))) 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)) #<representation binary64>) () ())
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Outputs
#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 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (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 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<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 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (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 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<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 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (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 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<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 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (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 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<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 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (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 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<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 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (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 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<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 (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 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (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 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<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 (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 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (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 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<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 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (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 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<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 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (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 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<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 (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 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (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 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<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 (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 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (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 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1665589/2000000000 (pow x 5)) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* 1789971/5000000000 (pow x 7)) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* 1789971/5000000000 (pow x 7)) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4)) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (patch (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4)) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (patch (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4)) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (patch (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())

Calls

81 calls:

Time	Variable		Point	Expression
9.0ms	x	@	inf	(* x (* x (+ (* x (* x (+ (* x (* x -9156128575487588197208397249/125000000000000000000000000000)) 3321371254951887171/12500000000000000000))) -833192009/1250000000)))
1.0ms	x	@	inf	(+ (* x (* x (* x (+ (* x (* x (+ (* x (* x -9156128575487588197208397249/125000000000000000000000000000)) 3321371254951887171/12500000000000000000))) -833192009/1250000000)))) x)
1.0ms	x	@	-inf	(+ (* x (* x (* x (+ (* x (* x (+ (* x (* x -9156128575487588197208397249/125000000000000000000000000000)) 3321371254951887171/12500000000000000000))) -833192009/1250000000)))) x)
1.0ms	x	@	0	(+ (* (* (* x x) (* x (* x (* x x)))) (* 1789971/5000000000 x)) (* (* x x) (* 1665589/2000000000 (* x (* x x)))))
0.0ms	x	@	inf	(+ (* (* (* x x) (* x (* x (* x x)))) (* 1789971/5000000000 x)) (* (* x x) (* 1665589/2000000000 (* x (* x x)))))

simplify22.2s (17.3%)

Memory

-7.0MiB live, 30 526.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 504×	`lower-fma.f64`
7 504×	`lower-fma.f32`
4 190×	`lower-*.f64`
4 190×	`lower-*.f32`
2 930×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	216	2857
1	703	2821
2	2258	2803
3	7918	2803
0	8291	2718

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 318

Calls

Call 1

Inputs
1
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))))))
(* 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)))))))
(* 1665589/2000000000 (pow x 5))
(* (pow x 5) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))
(* (pow x 5) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))
(* (pow x 5) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))
(* 1789971/5000000000 (pow x 7))
(* (pow x 7) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* 1789971/5000000000 (pow x 7))
(* (pow x 7) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 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)))))))
(* 106015151/2500000000 x)
(* x (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))
(* x (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))
(* x (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))
(* 36322091/5000000000 (pow x 3))
(* (pow x 3) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(* 36322091/5000000000 (pow x 3))
(* (pow x 3) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
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))))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 7))
(* (pow x 7) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(* (pow x 7) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(* (pow x 7) (- (+ (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 7))
(* -1 (* (pow x 7) (- 9156128575487588197208397249/125000000000000000000000000000 (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4))) (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4))) (+ (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* -833192009/1250000000 (pow x 2))
(* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))
(* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))
(* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 6))
(* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 6))
(* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(* -833192009/1250000000 x)
(* x (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))
(* x (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))
(* x (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 5))
(* (pow x 5) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(* (pow x 5) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(* (pow x 5) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 5))
(* -1 (* (pow x 5) (- 9156128575487588197208397249/125000000000000000000000000000 (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4))) (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4))) (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))))))
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 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)
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 x)
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) x)
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) x)
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) x)
(* 1/2 x)
(* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(/ 344398180852034095277/30586987988352776592 (pow x 6))
(/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 6))
(/ (+ 344398180852034095277/30586987988352776592 (* (pow x 2) (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))))) (pow x 6))
(/ (+ 344398180852034095277/30586987988352776592 (* (pow x 2) (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))))) (pow x 6))
1/2
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6))))))
1/2
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6))))))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/ 344398180852034095277/30586987988352776592 (pow x 7))
(/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 7))
(/ (+ 344398180852034095277/30586987988352776592 (* (pow x 2) (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))))) (pow x 7))
(/ (+ 344398180852034095277/30586987988352776592 (* (pow x 2) (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))))) (pow x 7))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/ 600041/2386628 (pow x 2))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
1/2
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
1/2
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(* 1665589/2000000000 (pow x 3))
(* 1665589/2000000000 (pow x 3))
(* 1665589/2000000000 (pow x 3))
(* 1665589/2000000000 (pow x 3))
(* 1665589/2000000000 (pow x 3))
(* 1665589/2000000000 (pow x 3))
(* 1665589/2000000000 (pow x 3))
(* 1665589/2000000000 (pow x 3))
(* 1665589/2000000000 (pow x 3))
(* 1665589/2000000000 (pow x 3))
(* 1665589/2000000000 (pow x 3))
(* 1665589/2000000000 (pow x 3))
(* 106015151/2500000000 x)
(* 106015151/2500000000 x)
(* 106015151/2500000000 x)
(* 106015151/2500000000 x)
(* 106015151/2500000000 x)
(* 106015151/2500000000 x)
(* 106015151/2500000000 x)
(* 106015151/2500000000 x)
(* 106015151/2500000000 x)
(* 106015151/2500000000 x)
(* 106015151/2500000000 x)
(* 106015151/2500000000 x)
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* 3321371254951887171/12500000000000000000 x)
(* x (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))))
(* x (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))))
(* x (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 3))
(* (pow x 3) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(* (pow x 3) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(* (pow x 3) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 3))
(* -1 (* (pow x 3) (- 9156128575487588197208397249/125000000000000000000000000000 (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 9156128575487588197208397249/125000000000000000000000000000 (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 9156128575487588197208397249/125000000000000000000000000000 (* 3321371254951887171/12500000000000000000 (/ 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))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 6))
(/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 6))
(/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 6))
(/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 6))
(/ 1307076337763/8543989815576 (pow x 4))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))
(/ 1307076337763/8543989815576 (pow x 4))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 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 #s(literal 1789971/10000000000 binary64) (+.f64 (/.f64 #s(literal 2532017/5000000000 binary64) (.f64 x x)) (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 x 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 #s(literal 1789971/10000000000 binary64) (+.f64 (/.f64 #s(literal 2532017/5000000000 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 x x) (*.f64 x x))) (/.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 6 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 #s(literal 1789971/10000000000 binary64) (+.f64 (/.f64 #s(literal 2532017/5000000000 binary64) (.f64 x x)) (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 x 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 #s(literal 1789971/10000000000 binary64) (+.f64 (/.f64 #s(literal 2532017/5000000000 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 x x) (*.f64 x x))) (/.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 1665589/2000000000 (pow x 5))
(.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 (.f64 x x) (*.f64 x x))))
(* (pow x 5) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)) #s(literal 1665589/2000000000 binary64)))
(* (pow x 5) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)) #s(literal 1665589/2000000000 binary64)))
(* (pow x 5) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)) #s(literal 1665589/2000000000 binary64)))
(* 1789971/5000000000 (pow x 7))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x))))
(* (pow x 7) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x))))
(* (pow x 7) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x))))
(* 1789971/5000000000 (pow x 7))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x))))
(* (pow x 7) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x))))
(* (pow x 7) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* 7715471019/10000000000 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))
(* 1789971/5000000000 (pow x 12))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x))) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (/.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 x x) (*.f64 x x))) (/.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 1789971/5000000000 (pow x 12))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x))) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (/.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 x x) (*.f64 x x))) (/.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 106015151/2500000000 x)
(*.f64 x #s(literal 106015151/2500000000 binary64))
(* x (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)))
(* x (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)))
(* x (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64)))
(* 36322091/5000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))
(* (pow x 3) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (/.f64 #s(literal 106015151/2500000000 binary64) (.f64 x x)))))
(* (pow x 3) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (/.f64 #s(literal 106015151/2500000000 binary64) (.f64 x x)))))
(* (pow x 3) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (/.f64 #s(literal 106015151/2500000000 binary64) (.f64 x x)))))
(* 36322091/5000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))
(* (pow x 3) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (/.f64 #s(literal 106015151/2500000000 binary64) (.f64 x x)))))
(* (pow x 3) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (/.f64 #s(literal 106015151/2500000000 binary64) (.f64 x x)))))
(* (pow x 3) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (/.f64 #s(literal 106015151/2500000000 binary64) (.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 x) (.f64 x (fma.f64 (*.f64 x 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 x) (.f64 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)
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(* 106015151/2500000000 x)
(*.f64 x #s(literal 106015151/2500000000 binary64))
(* 106015151/2500000000 x)
(*.f64 x #s(literal 106015151/2500000000 binary64))
(* 106015151/2500000000 x)
(*.f64 x #s(literal 106015151/2500000000 binary64))
(* 106015151/2500000000 x)
(*.f64 x #s(literal 106015151/2500000000 binary64))
(* 106015151/2500000000 x)
(*.f64 x #s(literal 106015151/2500000000 binary64))
(* 106015151/2500000000 x)
(*.f64 x #s(literal 106015151/2500000000 binary64))
(* 106015151/2500000000 x)
(*.f64 x #s(literal 106015151/2500000000 binary64))
(* 106015151/2500000000 x)
(*.f64 x #s(literal 106015151/2500000000 binary64))
(* 106015151/2500000000 x)
(*.f64 x #s(literal 106015151/2500000000 binary64))
(* 70002721/5000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))
(* 70002721/5000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))
(* 70002721/5000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))
(* 70002721/5000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))
(* 70002721/5000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))
(* 70002721/5000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))
(* 70002721/5000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))
(* 70002721/5000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))
(* 70002721/5000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))
(* 70002721/5000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))
(* 70002721/5000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))
(* 70002721/5000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))
(* 3321371254951887171/12500000000000000000 x)
(*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64))
(* x (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) #s(literal 3321371254951887171/12500000000000000000 binary64)))
(* x (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) #s(literal 3321371254951887171/12500000000000000000 binary64)))
(* x (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) #s(literal 3321371254951887171/12500000000000000000 binary64)))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))
(* (pow x 3) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (/.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (.f64 x x)))))
(* (pow x 3) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (/.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (.f64 x x)))))
(* (pow x 3) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (/.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (.f64 x x)))))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))
(* -1 (* (pow x 3) (- 9156128575487588197208397249/125000000000000000000000000000 (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (neg.f64 (+.f64 #s(literal 9156128575487588197208397249/125000000000000000000000000000 binary64) (/.f64 #s(literal -3321371254951887171/12500000000000000000 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (- 9156128575487588197208397249/125000000000000000000000000000 (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (neg.f64 (+.f64 #s(literal 9156128575487588197208397249/125000000000000000000000000000 binary64) (/.f64 #s(literal -3321371254951887171/12500000000000000000 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (- 9156128575487588197208397249/125000000000000000000000000000 (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (neg.f64 (+.f64 #s(literal 9156128575487588197208397249/125000000000000000000000000000 binary64) (/.f64 #s(literal -3321371254951887171/12500000000000000000 binary64) (.f64 x x)))))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 6))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 6))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1307076337763/8543989815576 binary64)) #s(literal 344398180852034095277/30586987988352776592 binary64)) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 6))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1307076337763/8543989815576 binary64)) #s(literal 344398180852034095277/30586987988352776592 binary64)) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 6))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1307076337763/8543989815576 binary64)) #s(literal 344398180852034095277/30586987988352776592 binary64)) (pow.f64 x #s(literal 6 binary64)))
(/ 1307076337763/8543989815576 (pow x 4))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))
(/ 1307076337763/8543989815576 (pow x 4))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))

Samples

9.4s	89 097×	0	valid
114.0ms	247×	2	valid

Compiler

Compiled 1 302 112 to 910 015 computations (30.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0s

const: 2.4s (41% of total)

ival-mult: 1.7s (28.8% of total)

ival-div: 753.0ms (12.6% of total)

ival-add: 468.0ms (7.9% of total)

ival-pow: 290.0ms (4.9% of total)

ival-true: 84.0ms (1.4% of total)

ival-sub: 75.0ms (1.3% of total)

exact: 46.0ms (0.8% of total)

ival-assert: 45.0ms (0.8% of total)

ival-neg: 22.0ms (0.4% of total)

adjust: 15.0ms (0.3% of total)

rewrite420.0ms (0.3%)

Memory

-5.8MiB live, 505.3MiB allocated

Rules

6 088×	`lower-fma.f32`
6 058×	`lower-fma.f64`
4 856×	`lower-*.f32`
4 814×	`lower-*.f64`
3 206×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	1153
0	215	786
1	1326	698
0	8117	653

Stop Event

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

Counts

27 → 514

Calls

Call 1

Inputs
(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 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (*.f64 x x)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 694555761/10000000000 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))
(fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (*.f64 x #s(literal 106015151/2500000000 binary64)))
#s(approx (/ (* x (+ (* (* x x) (+ (* (* (* x (* x x)) (* x (* x x))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* x (* x 1049934947/10000000000)) 1)))) (+ (* (* x x) (+ (* (* 1665589/2000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))) (* (* 1789971/5000000000 (* (* x (* x x)) (* x (* x x)))) (* x (* x (* x x)))))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* (* x (* x x)) (* x (* x x))) 70002721/5000000000))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (* x (+ (* (* x x) (+ (* (* (* x (* x x)) (* x (* x x))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* x (* x 1049934947/10000000000)) 1)))) (+ (* (* x x) (+ (* (* 1665589/2000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))) (* (* 1789971/5000000000 (* (* x (* x x)) (* x (* x x)))) (* x (* x (* x x)))))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* (* x (* x x)) (* x (* x x))) 70002721/5000000000))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (fma.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64))) #s(literal -833192009/1250000000 binary64)))) x))
(fma.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64))) #s(literal -833192009/1250000000 binary64)))) x)
(.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64))) #s(literal -833192009/1250000000 binary64))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64))) #s(literal -833192009/1250000000 binary64)))
(.f64 x (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 x (/.f64 #s(literal 600041/2386628 binary64) (.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)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 x (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)))) (*.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 x (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))))
(+.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)))))
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Outputs
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eval179.0ms (0.1%)

Memory: 36.3MiB live, 352.4MiB allocated
Compiler: Compiled 65 786 to 2 616 computations (96% saved)

prune7.3s (5.7%)

Memory

133.3MiB live, 16 588.3MiB allocated

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	854	4	858
Fresh	1	2	3
Picked	2	3	5
Done	0	4	4
Total	857	13	870

Accuracy

100.0%

Counts

870 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.9%	(/.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 x (fma.f64 x (.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64)) (.f64 x #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) #s(approx (+ (* (* (* x x) (* x (* x (* x x)))) (* 1789971/5000000000 x)) (* (* x x) (* 1665589/2000000000 (* x (* x x))))) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1789971/5000000000 binary64)) #s(literal 1665589/2000000000 binary64)))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 694555761/10000000000 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))
▶	53.9%	(/.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 x (.f64 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 (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 694555761/10000000000 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))
✓	51.7%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))) x)
▶	52.4%	(.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))))) (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)
✓	52.7%	(.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)
✓	51.7%	#s(approx (/ (* x (+ (* (* x x) (+ (* (* (* x (* x x)) (* x (* x x))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* x (* x 1049934947/10000000000)) 1)))) (+ (* (* x x) (+ (* (* 1665589/2000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))) (* (* 1789971/5000000000 (* (* x (* x x)) (* x (* x x)))) (* x (* x (* x x)))))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* (* x (* x x)) (* x (* x x))) 70002721/5000000000))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (fma.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64))) #s(literal -833192009/1250000000 binary64)))) x))
✓	49.9%	#s(approx (/ (* x (+ (* (* x x) (+ (* (* (* x (* x x)) (* x (* x x))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* x (* x 1049934947/10000000000)) 1)))) (+ (* (* x x) (+ (* (* 1665589/2000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))) (* (* 1789971/5000000000 (* (* x (* x x)) (* x (* x x)))) (* x (* x (* x x)))))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* (* x (* x x)) (* x (* x x))) 70002721/5000000000))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 #s(literal 1/2 binary64) x))
▶	25.9%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) x (.f64 x (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x)))
▶	25.7%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(approx (* x (/ 600041/2386628 (* x x))) (/.f64 #s(literal 600041/2386628 binary64) x))) (*.f64 x x)))
✓	49.9%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (+.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))
✓	49.8%	#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 (+.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))
✓	49.8%	#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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
▶	8.5%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) #s(approx (/ (+ 1/2 (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x))) x) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) #s(literal 1307076337763/8543989815576 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))

Compiler

Compiled 693 to 309 computations (55.4% saved)

simplify6.1s (4.7%)

Memory

137.3MiB live, 10 762.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) x (.f64 x (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x (.f64 x (.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))))) x) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) x (.f64 x (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x)))
cost-diff	320	(.f64 x (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))
cost-diff	320	(fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) x (.f64 x (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))
cost-diff	0	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) #s(literal 1307076337763/8543989815576 binary64))
cost-diff	0	(/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) #s(literal 1307076337763/8543989815576 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
cost-diff	0	#s(approx (/ (+ 1/2 (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x))) x) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) #s(literal 1307076337763/8543989815576 binary64)) (.f64 x (.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))))) x) #s(approx (/ (+ 1/2 (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x))) x) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) #s(literal 1307076337763/8543989815576 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
cost-diff	0	#s(approx (* x (/ 600041/2386628 (* x x))) (/.f64 #s(literal 600041/2386628 binary64) x))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) x #s(approx (* x (/ 600041/2386628 (* x x))) (/.f64 #s(literal 600041/2386628 binary64) x)))
cost-diff	0	(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(approx (* x (/ 600041/2386628 (* x x))) (/.f64 #s(literal 600041/2386628 binary64) 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))))) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(approx (* x (/ 600041/2386628 (* x x))) (/.f64 #s(literal 600041/2386628 binary64) x))) (*.f64 x x)))
cost-diff	0	(.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64)))
cost-diff	0	(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64))) x)
cost-diff	320	(fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 694555761/10000000000 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 70002721/5000000000 binary64)))))
cost-diff	512	(fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 694555761/10000000000 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))
cost-diff	640	(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (*.f64 x x)))))
cost-diff	640	(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 x (.f64 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)))

Rules

8 830×	`lower-fma.f32`
8 796×	`lower-fma.f64`
6 096×	`lower-*.f32`
6 052×	`lower-*.f64`
1 620×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	1835
0	188	1527
1	557	1118
2	2758	1057
0	8292	1016

Stop Event

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

Calls

Call 1

Inputs
(/.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 x (.f64 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 (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 694555761/10000000000 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))
(.f64 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 x (.f64 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 (.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 x (.f64 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)
(.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 x (.f64 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 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64))
(.f64 x (fma.f64 x (.f64 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))
(*.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)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 694555761/10000000000 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 694555761/10000000000 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64))))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (*.f64 x x)))))
(*.f64 #s(literal 1789971/5000000000 binary64) x)
#s(literal 1789971/5000000000 binary64)
(.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (*.f64 x x))))
(.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (*.f64 x x)))
#s(literal 1665589/2000000000 binary64)
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(.f64 (.f64 x (*.f64 x x)) #s(literal 70002721/5000000000 binary64))
#s(literal 70002721/5000000000 binary64)
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#s(literal 2909738639/10000000000 binary64)
#s(literal 7715471019/10000000000 binary64)
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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))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64))
x
(.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64)))
(fma.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))
(*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64))
#s(literal 3321371254951887171/12500000000000000000 binary64)
#s(literal -833192009/1250000000 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 (fma.f64 #s(literal 1/2 binary64) x #s(approx (* x (/ 600041/2386628 (* x x))) (/.f64 #s(literal 600041/2386628 binary64) x))) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(approx (* x (/ 600041/2386628 (* x x))) (/.f64 #s(literal 600041/2386628 binary64) x))) (*.f64 x x))
(fma.f64 #s(literal 1/2 binary64) x #s(approx (* x (/ 600041/2386628 (* x x))) (/.f64 #s(literal 600041/2386628 binary64) x)))
#s(literal 1/2 binary64)
x
#s(approx (* x (/ 600041/2386628 (* x x))) (/.f64 #s(literal 600041/2386628 binary64) x))
(/.f64 #s(literal 600041/2386628 binary64) x)
#s(literal 600041/2386628 binary64)
(*.f64 x x)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) #s(approx (/ (+ 1/2 (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x))) x) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) #s(literal 1307076337763/8543989815576 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
#s(approx (/ (+ 1/2 (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x))) x) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) #s(literal 1307076337763/8543989815576 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) #s(literal 1307076337763/8543989815576 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) #s(literal 1307076337763/8543989815576 binary64))
x
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))
(*.f64 x x)
#s(literal 1/2 binary64)
#s(literal 600041/2386628 binary64)
#s(literal 1307076337763/8543989815576 binary64)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(.f64 x (.f64 x (*.f64 x 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)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) x (.f64 x (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x)))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) x (.f64 x (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) x (.f64 x (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x (.f64 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 x (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x (.f64 x (*.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))))
(+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x)))
#s(literal 1307076337763/8543989815576 binary64)
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
#s(literal 344398180852034095277/30586987988352776592 binary64)
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))

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

Samples

2.5s	28 318×	0	valid
54.0ms	162×	2	valid

Compiler

Compiled 484 512 to 300 394 computations (38% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0s

const: 804.0ms (41% of total)

ival-mult: 748.0ms (38.1% of total)

ival-add: 163.0ms (8.3% of total)

ival-div: 106.0ms (5.4% of total)

ival-sub: 35.0ms (1.8% of total)

ival-neg: 34.0ms (1.7% of total)

ival-true: 27.0ms (1.4% of total)

ival-fabs: 15.0ms (0.8% of total)

ival-assert: 14.0ms (0.7% of total)

exact: 9.0ms (0.5% of total)

adjust: 7.0ms (0.4% of total)

localize418.0ms (0.3%)

Memory

-7.6MiB live, 686.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.41112743996401213	(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
accuracy	3.233741241864971	(.f64 x (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))
accuracy	15.404365782099607	(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) x (.f64 x (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x))
accuracy	32.05149100647975	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) x (.f64 x (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x)))
accuracy	0.06640625	(.f64 x (.f64 x x))
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accuracy	0	#s(approx (* x (/ 600041/2386628 (* x x))) (/.f64 #s(literal 600041/2386628 binary64) x))
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accuracy	0.5234375	(*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64))
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accuracy	0.08203125	(.f64 x (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)))
accuracy	0.11328125	(.f64 (.f64 x (*.f64 x x)) #s(literal 70002721/5000000000 binary64))
accuracy	0.33009379037556197	(.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (*.f64 x x)))
accuracy	28.858647824333374	(/.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 x (.f64 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 (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 694555761/10000000000 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))

Samples

254.0ms

256×

valid

Compiler

Compiled 1 759 to 123 computations (93% saved)

Precisions

Click to see histograms. Total time spent on operations: 217.0ms

ival-mult: 103.0ms (47.6% of total)

const: 54.0ms (24.9% of total)

ival-add: 41.0ms (18.9% of total)

ival-div: 18.0ms (8.3% of total)

exact: 1.0ms (0.5% of total)

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

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

series43.0ms (0%)

Memory

-6.3MiB live, 73.9MiB allocated

Counts

29 → 348

Calls

Call 1

Inputs
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#s(alt (.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (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) (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))))) (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) #<representation binary64>) () ())
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Outputs
#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 x (.f64 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 x (.f64 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 (+ 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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 (+ (/ 36322091/5000000000 (pow x 4)) (* 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 x (.f64 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 x (.f64 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 (* 3321371254951887171/12500000000000000000 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) (patch (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3321371254951887171/12500000000000000000 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) (patch (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3321371254951887171/12500000000000000000 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) (patch (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3321371254951887171/12500000000000000000 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) (patch (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3321371254951887171/12500000000000000000 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) (patch (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3321371254951887171/12500000000000000000 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) (patch (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3321371254951887171/12500000000000000000 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) (patch (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 600041/2386628 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 600041/2386628 binary64) x) (patch (/.f64 #s(literal 600041/2386628 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 600041/2386628 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 600041/2386628 binary64) x) (patch (/.f64 #s(literal 600041/2386628 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 600041/2386628 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 600041/2386628 binary64) x) (patch (/.f64 #s(literal 600041/2386628 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 600041/2386628 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 600041/2386628 binary64) x) (patch (/.f64 #s(literal 600041/2386628 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 600041/2386628 x) (taylor inf x) (#s(alt (/.f64 #s(literal 600041/2386628 binary64) x) (patch (/.f64 #s(literal 600041/2386628 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 600041/2386628 x) (taylor inf x) (#s(alt (/.f64 #s(literal 600041/2386628 binary64) x) (patch (/.f64 #s(literal 600041/2386628 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 600041/2386628 x) (taylor inf x) (#s(alt (/.f64 #s(literal 600041/2386628 binary64) x) (patch (/.f64 #s(literal 600041/2386628 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 600041/2386628 x) (taylor inf x) (#s(alt (/.f64 #s(literal 600041/2386628 binary64) x) (patch (/.f64 #s(literal 600041/2386628 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 600041/2386628 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 600041/2386628 binary64) x) (patch (/.f64 #s(literal 600041/2386628 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 600041/2386628 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 600041/2386628 binary64) x) (patch (/.f64 #s(literal 600041/2386628 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 600041/2386628 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 600041/2386628 binary64) x) (patch (/.f64 #s(literal 600041/2386628 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 600041/2386628 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 600041/2386628 binary64) x) (patch (/.f64 #s(literal 600041/2386628 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 600041/2386628 x) (taylor 0 x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 600041/2386628 (* 1/2 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 600041/2386628 (* 1/2 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 600041/2386628 (* 1/2 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 3)) (taylor inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 3)) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 344398180852034095277/30586987988352776592 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) (patch (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 344398180852034095277/30586987988352776592 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) (patch (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 344398180852034095277/30586987988352776592 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) (patch (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 344398180852034095277/30586987988352776592 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) (patch (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 344398180852034095277/30586987988352776592 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) (patch (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 344398180852034095277/30586987988352776592 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) (patch (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 344398180852034095277/30586987988352776592 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) (patch (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 344398180852034095277/30586987988352776592 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) (patch (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 344398180852034095277/30586987988352776592 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) (patch (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 344398180852034095277/30586987988352776592 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) (patch (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 344398180852034095277/30586987988352776592 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) (patch (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 344398180852034095277/30586987988352776592 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) (patch (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) #<representation binary64>) () ())) ())

Calls

87 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(* x 3321371254951887171/12500000000000000000)
0.0ms	x	@	-inf	(* x (* x x))
0.0ms	x	@	0	(* x (+ (* x (* x 3321371254951887171/12500000000000000000)) -833192009/1250000000))
0.0ms	x	@	0	(/ (+ (* x (* x (+ (* (* x x) 1/2) 600041/2386628))) 1307076337763/8543989815576) (* x (* x (* x (* x x)))))
0.0ms	x	@	inf	(* x (+ (* (* x x) 1/2) 600041/2386628))

simplify25.7s (20.1%)

Memory

-338.1MiB live, 34 898.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 598×	`lower-fma.f64`
7 598×	`lower-fma.f32`
4 592×	`lower-*.f64`
4 592×	`lower-*.f32`
2 512×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	219	3208
1	737	3178
2	2355	3153
0	8539	3052

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 343

Calls

Call 1

Inputs
1
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))))))
(* 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)))))))
(* 1665589/2000000000 (pow x 5))
(* (pow x 5) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))
(* (pow x 5) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))
(* (pow x 5) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))
(* 1789971/5000000000 (pow x 7))
(* (pow x 7) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* 1789971/5000000000 (pow x 7))
(* (pow x 7) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 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)))))))
(* 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)))))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
1
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
1
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(* 3321371254951887171/12500000000000000000 (pow x 4))
(* (pow x 4) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* 3321371254951887171/12500000000000000000 (pow x 4))
(* (pow x 4) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* -833192009/1250000000 x)
(* x (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))
(* x (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))
(* x (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))
(* 3321371254951887171/12500000000000000000 (pow x 3))
(* (pow x 3) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* 3321371254951887171/12500000000000000000 (pow x 3))
(* -1 (* (pow x 3) (- (* 833192009/1250000000 (/ 1 (pow x 2))) 3321371254951887171/12500000000000000000)))
(* -1 (* (pow x 3) (- (* 833192009/1250000000 (/ 1 (pow x 2))) 3321371254951887171/12500000000000000000)))
(* -1 (* (pow x 3) (- (* 833192009/1250000000 (/ 1 (pow x 2))) 3321371254951887171/12500000000000000000)))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/ 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 x)
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) x)
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) x)
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) x)
(* 1/2 x)
(* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 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))
(/ 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 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
(+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2)))
(+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2)))))
(+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2)))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))))
(/ 344398180852034095277/30586987988352776592 (pow x 5))
(/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 5))
(/ (+ 344398180852034095277/30586987988352776592 (* (pow x 2) (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))))) (pow x 5))
(/ (+ 344398180852034095277/30586987988352776592 (* (pow x 2) (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))))) (pow x 5))
(* 1/2 x)
(* 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)))))))
(* 1/2 x)
(* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* -1 (* x (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2)))
(* -1 (* x (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))))
(/ 344398180852034095277/30586987988352776592 (pow x 5))
(/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 5))
(/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 5))
(/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 5))
(/ 1307076337763/8543989815576 (pow x 3))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 3))
(/ 1307076337763/8543989815576 (pow x 3))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (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))
(/ 344398180852034095277/30586987988352776592 (pow x 7))
(/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 7))
(/ (+ 344398180852034095277/30586987988352776592 (* (pow x 2) (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))))) (pow x 7))
(/ (+ 344398180852034095277/30586987988352776592 (* (pow x 2) (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))))) (pow x 7))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
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))
(* 1665589/2000000000 (pow x 3))
(* 1665589/2000000000 (pow x 3))
(* 1665589/2000000000 (pow x 3))
(* 1665589/2000000000 (pow x 3))
(* 1665589/2000000000 (pow x 3))
(* 1665589/2000000000 (pow x 3))
(* 1665589/2000000000 (pow x 3))
(* 1665589/2000000000 (pow x 3))
(* 1665589/2000000000 (pow x 3))
(* 1665589/2000000000 (pow x 3))
(* 1665589/2000000000 (pow x 3))
(* 1665589/2000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 70002721/5000000000 (pow x 3))
(* 106015151/2500000000 x)
(* x (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))
(* x (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))
(* x (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))
(* 36322091/5000000000 (pow x 3))
(* (pow x 3) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(* 36322091/5000000000 (pow x 3))
(* (pow x 3) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(* 3321371254951887171/12500000000000000000 x)
(* 3321371254951887171/12500000000000000000 x)
(* 3321371254951887171/12500000000000000000 x)
(* 3321371254951887171/12500000000000000000 x)
(* 3321371254951887171/12500000000000000000 x)
(* 3321371254951887171/12500000000000000000 x)
(* 3321371254951887171/12500000000000000000 x)
(* 3321371254951887171/12500000000000000000 x)
(* 3321371254951887171/12500000000000000000 x)
(* 3321371254951887171/12500000000000000000 x)
(* 3321371254951887171/12500000000000000000 x)
(* 3321371254951887171/12500000000000000000 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(* 600041/2386628 x)
(* x (+ 600041/2386628 (* 1/2 (pow x 2))))
(* x (+ 600041/2386628 (* 1/2 (pow x 2))))
(* x (+ 600041/2386628 (* 1/2 (pow x 2))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))
(fma.f64 (.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 x (.f64 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 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
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(.f64 #s(literal 36322091/5000000000 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (/.f64 #s(literal 106015151/2500000000 binary64) (.f64 x x)))))
(* (pow x 3) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (/.f64 #s(literal 106015151/2500000000 binary64) (.f64 x x)))))
(* (pow x 3) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (/.f64 #s(literal 106015151/2500000000 binary64) (.f64 x x)))))
(* 36322091/5000000000 (pow x 3))
(.f64 #s(literal 36322091/5000000000 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (/.f64 #s(literal 106015151/2500000000 binary64) (.f64 x x)))))
(* (pow x 3) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (/.f64 #s(literal 106015151/2500000000 binary64) (.f64 x x)))))
(* (pow x 3) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (/.f64 #s(literal 106015151/2500000000 binary64) (.f64 x x)))))
(* 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))
(/ 600041/2386628 x)
(/.f64 #s(literal 600041/2386628 binary64) x)
(/ 600041/2386628 x)
(/.f64 #s(literal 600041/2386628 binary64) x)
(/ 600041/2386628 x)
(/.f64 #s(literal 600041/2386628 binary64) x)
(/ 600041/2386628 x)
(/.f64 #s(literal 600041/2386628 binary64) x)
(/ 600041/2386628 x)
(/.f64 #s(literal 600041/2386628 binary64) x)
(/ 600041/2386628 x)
(/.f64 #s(literal 600041/2386628 binary64) x)
(/ 600041/2386628 x)
(/.f64 #s(literal 600041/2386628 binary64) x)
(/ 600041/2386628 x)
(/.f64 #s(literal 600041/2386628 binary64) x)
(/ 600041/2386628 x)
(/.f64 #s(literal 600041/2386628 binary64) x)
(/ 600041/2386628 x)
(/.f64 #s(literal 600041/2386628 binary64) x)
(/ 600041/2386628 x)
(/.f64 #s(literal 600041/2386628 binary64) x)
(/ 600041/2386628 x)
(/.f64 #s(literal 600041/2386628 binary64) x)
(* 600041/2386628 x)
(*.f64 x #s(literal 600041/2386628 binary64))
(* x (+ 600041/2386628 (* 1/2 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)))
(* x (+ 600041/2386628 (* 1/2 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)))
(* x (+ 600041/2386628 (* 1/2 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)))
(* 1/2 (pow x 3))
(.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)))))
(* (pow x 3) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)))))
(* (pow x 3) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)))))
(* 1/2 (pow x 3))
(.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)))))
(* (pow x 3) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x)))))
(* (pow x 3) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.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))
(pow x 3)
(.f64 x (.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))

Samples

9.6s	96 546×	0	valid
125.0ms	286×	2	valid

Compiler

Compiled 1 537 344 to 1 016 457 computations (33.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.3s

const: 3.2s (43.6% of total)

ival-mult: 2.0s (27.1% of total)

ival-div: 1.0s (14.3% of total)

ival-add: 548.0ms (7.5% of total)

ival-pow: 263.0ms (3.6% of total)

ival-true: 92.0ms (1.3% of total)

ival-sub: 59.0ms (0.8% of total)

exact: 50.0ms (0.7% of total)

ival-assert: 48.0ms (0.7% of total)

adjust: 18.0ms (0.2% of total)

ival-neg: 17.0ms (0.2% of total)

rewrite387.0ms (0.3%)

Memory

30.8MiB live, 616.4MiB allocated

Rules

8 888×	`lower-fma.f32`
8 854×	`lower-fma.f64`
5 882×	`lower-*.f32`
5 838×	`lower-*.f64`
3 072×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	1480
0	188	1142
1	1016	874
0	8765	809

Stop Event

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

Counts

29 → 557

Calls

Call 1

Inputs
(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 x (.f64 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 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (*.f64 x x)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 694555761/10000000000 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))
(fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 694555761/10000000000 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 70002721/5000000000 binary64)))))
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64))) x)
#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64))
(.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64)))
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(approx (* x (/ 600041/2386628 (* x x))) (/.f64 #s(literal 600041/2386628 binary64) x))) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(approx (* x (/ 600041/2386628 (* x x))) (/.f64 #s(literal 600041/2386628 binary64) x))) (*.f64 x x))
(fma.f64 #s(literal 1/2 binary64) x #s(approx (* x (/ 600041/2386628 (* x x))) (/.f64 #s(literal 600041/2386628 binary64) x)))
#s(approx (* x (/ 600041/2386628 (* x x))) (/.f64 #s(literal 600041/2386628 binary64) x))
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) #s(approx (/ (+ 1/2 (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x))) x) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) #s(literal 1307076337763/8543989815576 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
#s(approx (/ (+ 1/2 (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x))) x) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) #s(literal 1307076337763/8543989815576 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) #s(literal 1307076337763/8543989815576 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) #s(literal 1307076337763/8543989815576 binary64))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) x (.f64 x (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))
(.f64 x (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.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)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) x (.f64 x (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x)))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) x (.f64 x (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x))
(/.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 x (.f64 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 (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 694555761/10000000000 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 70002721/5000000000 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))
(.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 70002721/5000000000 binary64))
(.f64 x (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)))
(*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64))
(/.f64 #s(literal 600041/2386628 binary64) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)))
(.f64 x (.f64 x x))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))

Outputs
(+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64) #s(literal 2532017/5000000000 binary64)))))
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(fma.f64 (.f64 x x) (.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 600041/2386628 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/2 binary64) (*.f64 x #s(literal 600041/2386628 binary64)))
(fma.f64 #s(literal 600041/2386628 binary64) x (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x x) (*.f64 x #s(literal 600041/2386628 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x (*.f64 #s(literal 600041/2386628 binary64) x))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 600041/2386628 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 x #s(literal 600041/2386628 binary64)) (.f64 x #s(literal 600041/2386628 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 x #s(literal 600041/2386628 binary64))))))
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(/.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (.f64 (.f64 x #s(literal 600041/2386628 binary64)) (.f64 x #s(literal 600041/2386628 binary64)))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 x #s(literal 600041/2386628 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)) (.f64 (.f64 #s(literal 600041/2386628 binary64) x) (.f64 #s(literal 600041/2386628 binary64) x))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) (.f64 #s(literal 600041/2386628 binary64) x)))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (neg.f64 x)) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x (fabs.f64 x)) (fabs.f64 x))
(neg.f64 (/.f64 #s(literal -344398180852034095277/30586987988352776592 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 30586987988352776592/344398180852034095277 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 30586987988352776592/344398180852034095277 binary64)) #s(literal 1 binary64)))
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(/.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 30586987988352776592/344398180852034095277 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) x)) (neg.f64 x))
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(.f64 #s(literal 1 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)))
(.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal -344398180852034095277/30586987988352776592 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (neg.f64 x))))
(*.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) x) (/.f64 #s(literal 1 binary64) x))

eval241.0ms (0.2%)

Memory: -32.7MiB live, 380.9MiB allocated
Compiler: Compiled 71 296 to 2 703 computations (96.2% saved)

prune13.0s (10.1%)

Memory

-176.3MiB live, 28 539.0MiB allocated

Pruning

16 alts after pruning (6 fresh and 10 done)

	Pruned	Kept	Total
New	1 027	6	1 033
Fresh	1	0	1
Picked	2	3	5
Done	0	7	7
Total	1 030	16	1 046

Accuracy

100.0%

Counts

1 046 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.9%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64) #s(literal 2532017/5000000000 binary64))) (fma.f64 x (.f64 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) (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1789971/5000000000 binary64)))) (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 (.f64 x (.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)))
	53.9%	(/.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 x (.f64 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 (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) #s(approx (+ (* x (* (* x (* x x)) 694555761/10000000000)) (* (* x x) (* x (* (* x (* x x)) 70002721/5000000000)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64))))) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))
✓	51.7%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))) x)
✓	52.4%	(.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))))) (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)
✓	52.7%	(.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)
	53.9%	(.f64 x (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64) #s(literal 2532017/5000000000 binary64))) (fma.f64 x (.f64 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) (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1789971/5000000000 binary64)))) (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 (.f64 x (.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))))
✓	51.7%	#s(approx (/ (* x (+ (* (* x x) (+ (* (* (* x (* x x)) (* x (* x x))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* x (* x 1049934947/10000000000)) 1)))) (+ (* (* x x) (+ (* (* 1665589/2000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))) (* (* 1789971/5000000000 (* (* x (* x x)) (* x (* x x)))) (* x (* x (* x x)))))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* (* x (* x x)) (* x (* x x))) 70002721/5000000000))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (fma.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64))) #s(literal -833192009/1250000000 binary64)))) x))
✓	49.9%	#s(approx (/ (* x (+ (* (* x x) (+ (* (* (* x (* x x)) (* x (* x x))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* x (* x 1049934947/10000000000)) 1)))) (+ (* (* x x) (+ (* (* 1665589/2000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))) (* (* 1789971/5000000000 (* (* x (* x x)) (* x (* x x)))) (* x (* x (* x x)))))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* (* x (* x x)) (* x (* x x))) 70002721/5000000000))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 #s(literal 1/2 binary64) x))
	25.9%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) x #s(approx ( x (/ (+ 1307076337763/8543989815576 (/ 344398180852034095277/30586987988352776592 (* x x))) (* x (* x (* x x))))) (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x (.f64 x x))))) (.f64 x x)))
✓	25.7%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(approx (* x (/ 600041/2386628 (* x x))) (/.f64 #s(literal 600041/2386628 binary64) x))) (*.f64 x x)))
✓	49.9%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (+.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))
✓	49.8%	#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 (+.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))
✓	49.8%	#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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
	25.8%	#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 binary64) (/.f64 (.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(approx ( x (/ 600041/2386628 (* x x))) (/.f64 #s(literal 600041/2386628 binary64) x))))))
	49.8%	#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 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(approx ( x (/ 600041/2386628 (* x x))) (/.f64 #s(literal 600041/2386628 binary64) x))) x) (/.f64 #s(literal 1 binary64) x)))
✓	8.5%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) #s(approx (/ (+ 1/2 (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x))) x) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))) #s(literal 1307076337763/8543989815576 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))

Compiler

Compiled 1 737 to 428 computations (75.4% saved)

regimes24.0ms (0%)

Memory

-29.8MiB live, 47.8MiB allocated

Counts

27 → 2

Calls

Call 1

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

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

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

Calls

2 calls:

9.0ms

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

Results

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

Compiler

Compiled 176 to 45 computations (74.4% saved)

regimes10.0ms (0%)

Memory

23.2MiB live, 23.2MiB allocated

Counts

21 → 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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Outputs

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Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0%)

Memory

-16.8MiB live, 21.9MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
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Outputs

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Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0%)

Memory

21.6MiB live, 21.6MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
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Outputs

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Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0%)

Memory

-22.0MiB live, 18.9MiB allocated

Counts

16 → 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))))) (/.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))) x)

Outputs

#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x 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) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64))) #s(literal -833192009/1250000000 binary64)) (*.f64 x (*.f64 x x)) x))

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

10.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
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Outputs

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Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0%)

Memory

-25.3MiB live, 13.5MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x 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) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64))) #s(literal -833192009/1250000000 binary64)) (*.f64 x (*.f64 x x)) x))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (* x (+ (* (* x x) (+ (* (* (* x (* x x)) (* x (* x x))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* x (* x 1049934947/10000000000)) 1)))) (+ (* (* x x) (+ (* (* 1665589/2000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))) (* (* 1789971/5000000000 (* (* x (* x x)) (* x (* x x)))) (* x (* x (* x x)))))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* (* x (* x x)) (* x (* x x))) 70002721/5000000000))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 #s(literal 1/2 binary64) x))
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))) x)
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x 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))
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(approx (* x (/ 600041/2386628 (* x x))) (/.f64 #s(literal 600041/2386628 binary64) 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)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x 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) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64))) #s(literal -833192009/1250000000 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (/ (* x (+ (* (* x x) (+ (* (* (* x (* x x)) (* x (* x x))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* x (* x 1049934947/10000000000)) 1)))) (+ (* (* x x) (+ (* (* 1665589/2000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))) (* (* 1789971/5000000000 (* (* x (* x x)) (* x (* x x)))) (* x (* x (* x x)))))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* (* x (* x x)) (* x (* x x))) 70002721/5000000000))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (fma.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64))) #s(literal -833192009/1250000000 binary64)))) x))

Outputs

#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x 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) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64))) #s(literal -833192009/1250000000 binary64)) (*.f64 x (*.f64 x x)) x))

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

3.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

7 → 2

Calls

Call 1

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

3.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Memory

15.7MiB live, 15.7MiB 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))
#s(approx (/ (* x (+ (* (* x x) (+ (* (* (* x (* x x)) (* x (* x x))) 2532017/5000000000) (* (* 1789971/10000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))))) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) (* (* x (* x (* x x))) 36322091/5000000000))) (+ (* x (* x 1049934947/10000000000)) 1)))) (+ (* (* x x) (+ (* (* 1665589/2000000000 (* x x)) (* (* x (* x x)) (* x (* x x)))) (* (* 1789971/5000000000 (* (* x (* x x)) (* x (* x x)))) (* x (* x (* x x)))))) (+ (* (* x x) (+ (* (* x (* x (* x x))) 694555761/10000000000) (* (* (* x (* x x)) (* x (* x x))) 70002721/5000000000))) (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) 1)))) (/.f64 #s(literal 1/2 binary64) x))
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))) x)
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64))) x)

Outputs

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

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

Calls

2 calls:

3.0ms

(*.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
97.4%	2	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)
99.2%	2	`x`

Compiler

Compiled 176 to 45 computations (74.4% saved)

regimes4.0ms (0%)

Memory

-31.5MiB live, 7.6MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory

10.2MiB live, 10.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

2 calls:

2.0ms

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

1.0ms

Results

Accuracy	Segments	Branch
52.7%	1	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)
52.7%	1	`x`

Compiler

Compiled 176 to 45 computations (74.4% saved)

bsearch38.0ms (0%)

Memory

-6.8MiB live, 72.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
34.0ms	737987.1668832282	445723166.4504364

Samples

30.0ms

80×

valid

Compiler

Compiled 732 to 273 computations (62.7% saved)

Precisions

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

ival-mult: 11.0ms (39.9% of total)

const: 10.0ms (36.3% of total)

ival-add: 5.0ms (18.1% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch23.0ms (0%)

Memory

4.5MiB live, 42.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
20.0ms	91.5886588460333	342.1767668389077

Samples

18.0ms

48×

valid

Compiler

Compiled 558 to 213 computations (61.8% saved)

Precisions

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

const: 8.0ms (49.6% of total)

ival-mult: 5.0ms (31% of total)

ival-add: 2.0ms (12.4% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	91.5886588460333	342.1767668389077

Compiler

Compiled 558 to 213 computations (61.8% saved)

bsearch66.0ms (0.1%)

Memory

0.6MiB live, 119.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
54.0ms	0.0036641599228601435	61.22741159747798

Samples

49.0ms

128×

valid

Compiler

Compiled 569 to 272 computations (52.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 17.0ms (38.2% of total)

const: 16.0ms (36% of total)

ival-add: 10.0ms (22.5% of total)

ival-div: 1.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch40.0ms (0%)

Memory

-12.6MiB live, 64.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
37.0ms	0.0036641599228601435	61.22741159747798

Samples

32.0ms

48×

valid

Compiler

Compiled 489 to 232 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 12.0ms (41.1% of total)

const: 12.0ms (41.1% of total)

ival-add: 4.0ms (13.7% of total)

ival-div: 1.0ms (3.4% 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

3.7MiB live, 3.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0036641599228601435	61.22741159747798

Compiler

Compiled 473 to 224 computations (52.6% saved)

bsearch2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0036641599228601435	61.22741159747798

Compiler

Compiled 457 to 216 computations (52.7% saved)

bsearch1.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0036641599228601435	61.22741159747798

Compiler

Compiled 441 to 208 computations (52.8% saved)

bsearch1.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0036641599228601435	61.22741159747798

Compiler

Compiled 401 to 192 computations (52.1% saved)

bsearch29.0ms (0%)

Memory

17.7MiB live, 56.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	0.0036641599228601435	61.22741159747798

Samples

22.0ms

64×

valid

Compiler

Compiled 353 to 160 computations (54.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

const: 8.0ms (43.4% of total)

ival-mult: 7.0ms (38% of total)

ival-add: 3.0ms (16.3% of total)

ival-div: 1.0ms (5.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch11.0ms (0%)

Memory

-25.7MiB live, 16.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.0036641599228601435	61.22741159747798

Samples

8.0ms

16×

valid

Compiler

Compiled 313 to 136 computations (56.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (54.5% of total)

const: 2.0ms (27.3% of total)

ival-add: 1.0ms (13.6% 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)

bsearch16.0ms (0%)

Memory

-9.5MiB live, 29.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0036641599228601435	61.22741159747798

Samples

10.0ms

32×

valid

Compiler

Compiled 273 to 112 computations (59% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

const: 4.0ms (45% of total)

ival-mult: 3.0ms (33.7% of total)

ival-add: 1.0ms (11.2% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify2.3s (1.8%)

Memory

103.0MiB live, 3 648.9MiB allocated

Algorithm

1×	egg-herbie

Rules

60×	`*-commutative_binary64`
14×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	4423
1	221	4423

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 60000000 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 x (.f64 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 (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/5000000000 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 x (.f64 x x))))) #s(approx (+ (* x (* (* x (* x x)) 694555761/10000000000)) (* (* x x) (* x (* (* x (* x x)) 70002721/5000000000)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x (.f64 x #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))) #s(approx ( (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x 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 300 binary64)) (/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64) #s(literal 2532017/5000000000 binary64))) (fma.f64 x (.f64 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) (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1789971/5000000000 binary64)))) (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 (.f64 x (.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 (+.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)))
(if (<=.f64 x #s(literal 300 binary64)) (.f64 x (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64) #s(literal 2532017/5000000000 binary64))) (fma.f64 x (.f64 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) (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1789971/5000000000 binary64)))) (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 70002721/5000000000 binary64)) (.f64 (.f64 x (.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 (+.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)))
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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(literal 1 binary64)) x)
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Samples

888.0ms	3 462×	0	valid
45.0ms	35×	2	valid

Compiler

Compiled 195 821 to 108 269 computations (44.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 806.0ms

const: 344.0ms (42.7% of total)

ival-mult: 235.0ms (29.1% of total)

ival-add: 109.0ms (13.5% of total)

ival-div: 67.0ms (8.3% of total)

ival-if: 20.0ms (2.5% of total)

ival-<=: 13.0ms (1.6% of total)

exact: 6.0ms (0.7% of total)

adjust: 5.0ms (0.6% of total)

ival-true: 4.0ms (0.5% of total)

ival-assert: 2.0ms (0.2% of total)

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

soundness1.6s (1.2%)

Memory

-69.6MiB live, 1 368.5MiB allocated

Rules

12 648×	`lower-fma.f32`
12 626×	`lower-fma.f64`
9 194×	`lower-fma.f64`
9 194×	`lower-fma.f32`
8 888×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	1480
0	188	1142
1	1016	874
0	8765	809
0	219	3208
1	737	3178
2	2355	3153
0	8539	3052
0	216	2857
1	703	2821
2	2258	2803
3	7918	2803
0	8291	2718
0	158	1026
1	547	1026
2	1724	1017
3	7230	1017
0	8349	981
0	90	1442
0	144	962
1	866	728
0	8243	664
0	44	638
0	76	446
1	361	310
2	3855	274
0	8144	232
0	137	1153
0	215	786
1	1326	698
0	8117	653

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

Compiler

Compiled 1 560 to 416 computations (73.3% saved)

preprocess191.0ms (0.1%)

Memory: 36.9MiB live, 394.3MiB allocated
Compiler: Compiled 2 080 to 524 computations (74.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample3.8s (3%)

explain1.1s (0.9%)

preprocess421.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.4s (3.5%)

localize169.0ms (0.1%)

series23.0ms (0%)

simplify6.2s (4.8%)

rewrite364.0ms (0.3%)

eval128.0ms (0.1%)

prune139.0ms (0.1%)

simplify4.9s (3.8%)

localize345.0ms (0.3%)

series45.0ms (0%)

simplify17.3s (13.5%)

rewrite376.0ms (0.3%)

eval324.0ms (0.3%)

prune1.8s (1.4%)

simplify5.4s (4.2%)

localize489.0ms (0.4%)

series52.0ms (0%)

simplify22.2s (17.3%)

rewrite420.0ms (0.3%)

eval179.0ms (0.1%)

prune7.3s (5.7%)

simplify6.1s (4.7%)

localize418.0ms (0.3%)

series43.0ms (0%)

simplify25.7s (20.1%)

rewrite387.0ms (0.3%)

eval241.0ms (0.2%)

prune13.0s (10.1%)

regimes24.0ms (0%)

regimes10.0ms (0%)

regimes11.0ms (0%)

regimes9.0ms (0%)

regimes12.0ms (0%)

regimes7.0ms (0%)

regimes7.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes6.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes4.0ms (0%)

bsearch38.0ms (0%)

bsearch23.0ms (0%)

bsearch1.0ms (0%)

bsearch66.0ms (0.1%)

bsearch40.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch29.0ms (0%)

bsearch11.0ms (0%)

bsearch16.0ms (0%)

simplify2.3s (1.8%)

soundness1.6s (1.2%)

preprocess191.0ms (0.1%)

end0.0ms (0%)

Profiling