Metrics for Jmat.Real.dawson

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory

2.0MiB live, 2.0MiB 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)

sample3.6s (22.3%)

Memory

-86.4MiB live, 4 572.0MiB allocated

Samples

3.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 2.7s

const: 998.0ms (36.3% of total)

ival-mult: 988.0ms (36% of total)

ival-add: 686.0ms (25% of total)

ival-div: 57.0ms (2.1% of total)

exact: 9.0ms (0.3% of total)

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

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

Bogosity

explain944.0ms (5.9%)

Memory

14.6MiB live, 1 358.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
105	-	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)))))
64	-	1	(7.644649375825229e+160)	(.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	-	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)))`
2	-	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)))`
1	-	0	-	`(.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))`
0	-	0	-	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))
0	-	0	-	`(.f64 (.f64 x x) (*.f64 x x))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`#s(literal 1049934947/10000000000 binary64)`
0	-	0	-	`#s(literal 70002721/5000000000 binary64)`
0	-	0	-	`(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))))`
0	-	0	-	`#s(literal 2532017/5000000000 binary64)`
0	-	0	-	`(.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))`
0	-	0	-	`(.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))`
0	-	0	-	`(.f64 #s(literal 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 (+.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	101	0
↳	`(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))`	overflow	270
↳	`(+.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	82
↳	`(.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))`	overflow	82
↳	(+.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	101
↳	`(*.f64 x x)`	overflow	960
↳	`(+.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	96
↳	`(.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))`	overflow	96
↳	`(.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))`	overflow	90
↳	`(.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	103
↳	`(.f64 (.f64 x x) (*.f64 x x))`	overflow	328
↳	`(.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	101
↳	`(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	194
↳	`(.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))`	overflow	64
↳	`(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x)))`	overflow	64
↳	`(+.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	90
↳	`(.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))`	overflow	82
↳	`(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	105
↳	(+.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	105
↳	`(.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	101
↳	`(.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	206
↳	`(.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	105
↳	`(.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))`	overflow	97
↳	`(.f64 (.f64 x x) (*.f64 x x))`	overflow	410
↳	`(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))`	overflow	360
↳	`(+.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	97
↳	`(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	291
↳	`(+.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	82
↳	`(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))`	overflow	64
↳	`(.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))`	overflow	90
↳	`(+.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	90
↳	`(*.f64 x x)`	overflow	1344
↳	(+.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	101
↳	`(+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x)))`	overflow	64
`*.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**	63	0
`/.f64`	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x)))))	n/o	4	0
↳	`(.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))`	overflow	82
↳	`(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	105
↳	(+.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	105
↳	`(.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	101
↳	`(.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	206
↳	`(.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	105
↳	`(.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))`	overflow	97
↳	`(.f64 (.f64 x x) (*.f64 x x))`	overflow	410
↳	`(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))`	overflow	360
↳	`(+.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	97
↳	`(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	291
↳	`(+.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	82
↳	`(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))`	overflow	64
↳	`(.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))`	overflow	90
↳	`(+.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	90
↳	`(*.f64 x x)`	overflow	1344
↳	(+.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	101
↳	`(+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x)))`	overflow	64
`*.f64`	`(.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)))`	*no**	2	0
`*.f64`	`(.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)))`	*no**	2	0
`*.f64`	`(.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	105	0
-	0	151

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	105	0	0
-	0	0	151

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	151
1	39
2	64
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

190.0ms

512×

valid

Compiler

Compiled 2 266 to 136 computations (94% saved)

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

const: 64.0ms (42.2% of total)

ival-mult: 60.0ms (39.6% of total)

ival-add: 22.0ms (14.5% of total)

ival-div: 3.0ms (2% of total)

ival-true: 1.0ms (0.7% of total)

exact: 1.0ms (0.7% of total)

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

preprocess483.0ms (3%)

Memory

52.6MiB live, 467.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(negabs x)

Compiler

Compiled 174 to 44 computations (74.7% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.0%	(.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))))) x)

Status

Accuracy

Program

▶

59.0%

(*.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))))) x)

Compiler

Compiled 174 to 44 computations (74.7% saved)

simplify541.0ms (3.4%)

Memory

19.1MiB live, 514.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	1034
0	76	1034
1	163	666
2	577	496
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4	4571	454
5	4708	454
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7	5091	454
8	5409	454
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11	7949	454
12	7989	454
0	8035	396

Stop Event

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

Calls

Call 1

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

localize183.0ms (1.1%)

Memory

-10.0MiB live, 297.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.4496626150659856	(.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)))
accuracy	0.454003638084687	(.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)))
accuracy	14.87692854959446	(.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	25.78587514544648	(/.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

117.0ms

256×

valid

Compiler

Compiled 1 046 to 46 computations (95.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-mult: 39.0ms (44.5% of total)

const: 30.0ms (34.2% of total)

ival-add: 16.0ms (18.2% of total)

ival-div: 2.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

17.7MiB live, 17.6MiB allocated

Counts

8 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

simplify250.0ms (1.6%)

Memory

-37.8MiB live, 288.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 95

Calls

Call 1

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

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

rewrite547.0ms (3.4%)

Memory

15.3MiB live, 755.6MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	670
0	76	462
1	304	314
2	3040	274
0	9946	232

Stop Event

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

Counts

8 → 501

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))))
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(/.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)))))
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Outputs
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eval207.0ms (1.3%)

Memory: 7.0MiB live, 319.1MiB allocated
Compiler: Compiled 149 437 to 2 925 computations (98% saved)

prune108.0ms (0.7%)

Memory

-16.1MiB live, 229.8MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	582	14	596
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	583	14	597

Accuracy

100.0%

Counts

597 → 14

Alt Table

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Status	Accuracy	Program
	58.9%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64))) (fma.f64 (.f64 x x) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1789971/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 694555761/10000000000 binary64) (.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) x)) (fma.f64 (.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))) #s(literal 1 binary64)))))
▶	59.0%	(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64)) x) x (+.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (.f64 (.f64 x x) #s(literal 106015151/2500000000 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))))) (+.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)
▶	54.4%	(.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)))) #s(approx (+ (+ (+ (+ (+ (+ 1 ( 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 694555761/10000000000 binary64)) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))) x)
	58.1%	(.f64 (/.f64 (+.f64 #s(approx (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)
	54.5%	(.f64 (/.f64 #s(approx (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)
▶	55.1%	(.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)
	54.3%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))) x)
▶	23.7%	(.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))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x))) x)
▶	55.2%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
	54.4%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) #s(literal 3321371254951887171/12500000000000000000 binary64))) #s(literal -833192009/1250000000 binary64)) (.f64 x (.f64 x x)) x))
	47.1%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)) #s(literal 1/2 binary64)) x))
	47.1%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x 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))
	47.1%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x 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))
	47.2%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 1 562 to 532 computations (65.9% saved)

simplify474.0ms (3%)

Memory

5.1MiB live, 567.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	768	(+.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))))
cost-diff	1408	(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))))
cost-diff	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	0	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
cost-diff	0	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x))
cost-diff	0	#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x)))
cost-diff	0	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x))) x)
cost-diff	0	(.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64)))
cost-diff	0	(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64))) x)
cost-diff	0	#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x 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	1408	(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x))))
cost-diff	1408	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))))
cost-diff	1920	(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
cost-diff	2048	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))

Rules

24 772×	`lower-fma.f32`
24 756×	`lower-fma.f64`
5 908×	`lower-+.f32`
5 880×	`lower-+.f64`
4 142×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	3005
0	198	2340
1	406	1615
2	1043	1366
3	3403	1350
4	5668	1350
5	6020	1350
6	6350	1350
7	6950	1350
8	6954	1350
9	7640	1350
0	8484	1247

Stop Event

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

Calls

Call 1

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

localize374.0ms (2.3%)

Memory

9.2MiB live, 560.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.454003638084687	(.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)))
accuracy	6.515377937859075	#s(approx (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 694555761/10000000000 binary64)) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))
accuracy	14.87692854959446	(.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)))) #s(approx (+ (+ (+ (+ (+ (+ 1 ( 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 694555761/10000000000 binary64)) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))) x)
accuracy	25.78587514544648	(/.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)))) #s(approx (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 694555761/10000000000 binary64)) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))
accuracy	0.11394501953688403	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x))
accuracy	0.29651129138909577	(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
accuracy	14.87692854959446	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x))) x)
accuracy	33.57569279220112	#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x)))
accuracy	0.08203125	(.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64)))
accuracy	0.48828125	(*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64))
accuracy	14.87692854959446	(.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)
accuracy	28.802621655461728	#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x 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)))
accuracy	14.87692854959446	(.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	28.57598238409673	#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x 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	0.14453125	(.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x))
accuracy	0.4496626150659856	(.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)))
accuracy	14.87692854959446	(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64)) x) x (+.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (.f64 (.f64 x x) #s(literal 106015151/2500000000 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))))) (+.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	25.78587514544648	(/.f64 (fma.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64)) x) x (+.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (.f64 (.f64 x x) #s(literal 106015151/2500000000 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))))) (+.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

171.0ms

256×

valid

Compiler

Compiled 2 956 to 86 computations (97.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

ival-mult: 60.0ms (44.3% of total)

const: 39.0ms (28.8% of total)

ival-add: 29.0ms (21.4% of total)

ival-div: 6.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

series43.0ms (0.3%)

Memory

-33.9MiB live, 27.0MiB allocated

Counts

28 → 336

Calls

Call 1

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

Calls

84 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ (+ 1/2 (/ 600041/2386628 (* x x))) (* x x))
1.0ms	x	@	0	(+ (* (* x (* x (* x (* x (* x x))))) 2532017/5000000000) (* (* 1789971/10000000000 (* 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)))))))
0.0ms	x	@	inf	(+ (* x (* x (+ (* x (* x 3321371254951887171/12500000000000000000)) -833192009/1250000000))) 1)
0.0ms	x	@	inf	(* x (+ (* x (* x 3321371254951887171/12500000000000000000)) -833192009/1250000000))

simplify319.0ms (2%)

Memory

19.2MiB live, 286.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 480×	`lower-fma.f64`
13 480×	`lower-fma.f32`
4 036×	`lower-*.f64`
4 036×	`lower-*.f32`
3 404×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	3470
1	633	3440
2	1534	3417
3	3935	3412
4	7014	3412
0	8291	3260

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 331

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

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

rewrite456.0ms (2.8%)

Memory

5.5MiB live, 523.2MiB allocated

Rules

7 022×	`lower-fma.f32`
7 006×	`lower-fma.f64`
5 120×	`lower-*.f32`
5 050×	`lower-*.f64`
2 310×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	2385
0	198	1642
1	718	1164
2	5741	1035
0	8130	942

Stop Event

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

Counts

28 → 870

Calls

Call 1

Inputs
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(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
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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))))) #s(literal 1 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))
(.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64)))
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x))) x)
#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x)))
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(/.f64 (fma.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64)) x) x (+.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (.f64 (.f64 x x) #s(literal 106015151/2500000000 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))))) (+.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)))))
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(.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))
(.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x))
(*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64))
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Outputs
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eval214.0ms (1.3%)

Memory: 38.0MiB live, 418.6MiB allocated
Compiler: Compiled 123 522 to 4 481 computations (96.4% saved)

prune320.0ms (2%)

Memory

-16.6MiB live, 612.8MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	1 197	4	1 201
Fresh	3	6	9
Picked	2	3	5
Done	0	0	0
Total	1 202	13	1 215

Accuracy

100.0%

Counts

1 215 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.0%	(/.f64 (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 36322091/5000000000 binary64))) (fma.f64 x (.f64 x (.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)))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64))))) (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1789971/5000000000 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1665589/2000000000 binary64))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64) #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))))
	54.5%	(.f64 (/.f64 #s(approx (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)
	54.7%	(.f64 (/.f64 #s(approx (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #s(approx (+ (+ (+ (+ (+ (+ 1 ( 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 694555761/10000000000 binary64)) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))) x)
✓	55.1%	(.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)
	54.3%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))) x)
✓	23.7%	(.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))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) (.f64 x x))) x)
▶	15.3%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) (* x x)) (/.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 600041/2386628 binary64)) (.f64 (.f64 x x) (.f64 x x))))) x)
✓	55.2%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
	54.4%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) #s(literal 3321371254951887171/12500000000000000000 binary64))) #s(literal -833192009/1250000000 binary64)) (.f64 x (.f64 x x)) x))
▶	47.1%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)) #s(literal 1/2 binary64)) x))
	47.1%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x 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))
▶	47.1%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x 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))
▶	47.2%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 813 to 340 computations (58.2% saved)

simplify416.0ms (2.6%)

Memory

22.0MiB live, 443.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff	0	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)) #s(literal 1/2 binary64)) x))
cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 600041/2386628 binary64)) (.f64 (.f64 x x) (.f64 x x)))
cost-diff	0	#s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) (* x x)) (/.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 600041/2386628 binary64)) (.f64 (.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))))) #s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) (* x x)) (/.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 600041/2386628 binary64)) (.f64 (.f64 x x) (.f64 x x)))))
cost-diff	0	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) (* x x)) (/.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 600041/2386628 binary64)) (.f64 (.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 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x))
cost-diff	960	(fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 36322091/5000000000 binary64))) (fma.f64 x (.f64 x (.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)))) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64))))
cost-diff	1280	(fma.f64 x (.f64 x (.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)))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64)))
cost-diff	1920	(fma.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1665589/2000000000 binary64)))
cost-diff	1920	(fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1789971/5000000000 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1665589/2000000000 binary64))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64) #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))))

Rules

26 362×	`lower-fma.f32`
26 336×	`lower-fma.f64`
5 888×	`lower-+.f32`
5 882×	`lower-+.f64`
4 480×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	1804
0	175	1492
1	444	1066
2	1370	971
3	3511	963
4	5677	963
5	5961	963
6	6178	963
7	6610	963
8	6909	963
9	7632	963
0	8341	922

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 36322091/5000000000 binary64))) (fma.f64 x (.f64 x (.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)))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64))))) (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1789971/5000000000 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1665589/2000000000 binary64))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64) #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))))
(.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 36322091/5000000000 binary64))) (fma.f64 x (.f64 x (.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)))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64)))))
x
(fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 36322091/5000000000 binary64))) (fma.f64 x (.f64 x (.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)))) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x #s(literal 36322091/5000000000 binary64)))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(*.f64 x x)
(*.f64 x #s(literal 36322091/5000000000 binary64))
#s(literal 36322091/5000000000 binary64)
(fma.f64 x (.f64 x (.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)))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64)))
(.f64 x (.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))))
(.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)))
(.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x 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))
(*.f64 x #s(literal 1789971/10000000000 binary64))
#s(literal 1789971/10000000000 binary64)
#s(literal 2532017/5000000000 binary64)
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64))
(.f64 x (fma.f64 x (.f64 x #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)))
(fma.f64 x (*.f64 x #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64))
(*.f64 x #s(literal 106015151/2500000000 binary64))
#s(literal 106015151/2500000000 binary64)
#s(literal 1049934947/10000000000 binary64)
#s(literal 1 binary64)
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Outputs
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(*.f64 x #s(literal 1/2 binary64))
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#s(literal 600041/2386628 binary64)
(.f64 (.f64 x x) (*.f64 x x))
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(*.f64 x x)
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(+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x x)) #s(literal 600041/2386628 binary64))
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(+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x)))
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(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
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localize724.0ms (4.5%)

Memory

-50.5MiB live, 678.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.11394501953688403	(/.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy	0.16472626953688402	(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x x))
accuracy	0.23123432538292385	(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
accuracy	33.86841323805402	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)) #s(literal 1/2 binary64)) x))
accuracy	0.09765625	(.f64 (.f64 x x) (*.f64 x x))
accuracy	14.87692854959446	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) (* x x)) (/.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 600041/2386628 binary64)) (.f64 (.f64 x x) (.f64 x x))))) x)
accuracy	20.035114512742705	(/.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 600041/2386628 binary64)) (.f64 (.f64 x x) (.f64 x x)))
accuracy	33.57569279220112	#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) (* x x)) (/.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 600041/2386628 binary64)) (.f64 (.f64 x x) (.f64 x x)))))
accuracy	0.00390625	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
accuracy	0.0390625	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
accuracy	0.29651129138909577	(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
accuracy	33.87138265436064	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x 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 #s(literal 1/2 binary64) x)
accuracy	33.813717233856934	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x))
accuracy	0.2661214996295438	(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1665589/2000000000 binary64))
accuracy	0.2734375	(.f64 x (fma.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64) #s(literal 2909738639/10000000000 binary64)))
accuracy	0.45128628691376993	(.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1789971/5000000000 binary64))
accuracy	25.701603349407137	(/.f64 (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 36322091/5000000000 binary64))) (fma.f64 x (.f64 x (.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)))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64))))) (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1789971/5000000000 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1665589/2000000000 binary64))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64) #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))))

Samples

570.0ms

256×

valid

Compiler

Compiled 1 767 to 110 computations (93.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

ival-mult: 72.0ms (42.5% of total)

const: 46.0ms (27.2% of total)

ival-add: 32.0ms (18.9% of total)

ival-div: 18.0ms (10.6% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.1%)

Memory

31.6MiB live, 31.6MiB allocated

Counts

25 → 300

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* 7715471019/10000000000 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))>
#<alt (* 70002721/5000000000 (pow x 6))>
#<alt (* (pow x 6) (+ 70002721/5000000000 (* 1665589/2000000000 (pow x 2))))>
#<alt (* (pow x 6) (+ 70002721/5000000000 (* 1665589/2000000000 (pow x 2))))>
#<alt (* (pow x 6) (+ 70002721/5000000000 (* 1665589/2000000000 (pow x 2))))>
#<alt (* 1665589/2000000000 (pow x 8))>
#<alt (* (pow x 8) (+ 1665589/2000000000 (* 70002721/5000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1665589/2000000000 (* 70002721/5000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1665589/2000000000 (* 70002721/5000000000 (/ 1 (pow x 2)))))>
#<alt (* 1665589/2000000000 (pow x 8))>
#<alt (* (pow x 8) (+ 1665589/2000000000 (* 70002721/5000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1665589/2000000000 (* 70002721/5000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1665589/2000000000 (* 70002721/5000000000 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 1049934947/10000000000 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 2532017/5000000000 (pow x 4)))))))>
#<alt (* 1789971/10000000000 (pow x 10))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (+ (/ 106015151/2500000000 (pow x 6)) (* 2532017/5000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (+ (/ 106015151/2500000000 (pow x 6)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 1049934947/10000000000 (/ 1 (pow x 8)))))))>
#<alt (* 1789971/10000000000 (pow x 10))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (+ (/ 106015151/2500000000 (pow x 6)) (* 2532017/5000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (+ (/ 106015151/2500000000 (pow x 6)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 1049934947/10000000000 (/ 1 (pow x 8)))))))>
#<alt 1>
#<alt (+ 1 (* 1049934947/10000000000 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))))))>
#<alt (* 1789971/10000000000 (pow x 10))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))>
#<alt (* 1789971/10000000000 (pow x 10))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))>
#<alt x>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt x>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))>
#<alt (/ 600041/2386628 (pow x 3))>
#<alt (/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ 600041/2386628 (pow x 2))>
#<alt (/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))>
#<alt 1/2>
#<alt (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))>
#<alt (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))>
#<alt (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))>
#<alt 1/2>
#<alt (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))>
#<alt (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))>
#<alt (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))>
#<alt (/ 600041/2386628 (pow x 2))>
#<alt (/ 600041/2386628 (pow x 2))>
#<alt (/ 600041/2386628 (pow x 2))>
#<alt (/ 600041/2386628 (pow x 2))>
#<alt (/ 600041/2386628 (pow x 2))>
#<alt (/ 600041/2386628 (pow x 2))>
#<alt (/ 600041/2386628 (pow x 2))>
#<alt (/ 600041/2386628 (pow x 2))>
#<alt (/ 600041/2386628 (pow x 2))>
#<alt (/ 600041/2386628 (pow x 2))>
#<alt (/ 600041/2386628 (pow x 2))>
#<alt (/ 600041/2386628 (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))>
#<alt 1>
#<alt (+ 1 (* -833192009/1250000000 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))>
#<alt (/ 600041/2386628 (pow x 4))>
#<alt (/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 4))>
#<alt (/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 4))>
#<alt (/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 4))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ 600041/2386628 (pow x 4))>
#<alt (/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 4))>
#<alt (/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 4))>
#<alt (/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 4))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ 344398180852034095277/30586987988352776592 (pow x 6))>
#<alt (/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 6))>
#<alt (/ (+ 344398180852034095277/30586987988352776592 (* (pow x 2) (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))))) (pow x 6))>
#<alt (/ (+ 344398180852034095277/30586987988352776592 (* (pow x 2) (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))))) (pow x 6))>
#<alt 1/2>
#<alt (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))>
#<alt (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))>
#<alt (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))>
#<alt (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))>
#<alt (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6))))))>
#<alt x>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))>
#<alt (/ 344398180852034095277/30586987988352776592 (pow x 7))>
#<alt (/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 7))>
#<alt (/ (+ 344398180852034095277/30586987988352776592 (* (pow x 2) (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))))) (pow x 7))>
#<alt (/ (+ 344398180852034095277/30586987988352776592 (* (pow x 2) (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))))) (pow x 7))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))>
#<alt (* 1789971/5000000000 (pow x 10))>
#<alt (* 1789971/5000000000 (pow x 10))>
#<alt (* 1789971/5000000000 (pow x 10))>
#<alt (* 1789971/5000000000 (pow x 10))>
#<alt (* 1789971/5000000000 (pow x 10))>
#<alt (* 1789971/5000000000 (pow x 10))>
#<alt (* 1789971/5000000000 (pow x 10))>
#<alt (* 1789971/5000000000 (pow x 10))>
#<alt (* 1789971/5000000000 (pow x 10))>
#<alt (* 1789971/5000000000 (pow x 10))>
#<alt (* 1789971/5000000000 (pow x 10))>
#<alt (* 1789971/5000000000 (pow x 10))>
#<alt (* 2909738639/10000000000 x)>
#<alt (* x (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2))))>
#<alt (* x (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2))))>
#<alt (* x (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2))))>
#<alt (* 694555761/10000000000 (pow x 3))>
#<alt (* (pow x 3) (+ 694555761/10000000000 (* 2909738639/10000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 694555761/10000000000 (* 2909738639/10000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 694555761/10000000000 (* 2909738639/10000000000 (/ 1 (pow x 2)))))>
#<alt (* 694555761/10000000000 (pow x 3))>
#<alt (* (pow x 3) (+ 694555761/10000000000 (* 2909738639/10000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 694555761/10000000000 (* 2909738639/10000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 694555761/10000000000 (* 2909738639/10000000000 (/ 1 (pow x 2)))))>
#<alt (* 1665589/2000000000 (pow x 8))>
#<alt (* 1665589/2000000000 (pow x 8))>
#<alt (* 1665589/2000000000 (pow x 8))>
#<alt (* 1665589/2000000000 (pow x 8))>
#<alt (* 1665589/2000000000 (pow x 8))>
#<alt (* 1665589/2000000000 (pow x 8))>
#<alt (* 1665589/2000000000 (pow x 8))>
#<alt (* 1665589/2000000000 (pow x 8))>
#<alt (* 1665589/2000000000 (pow x 8))>
#<alt (* 1665589/2000000000 (pow x 8))>
#<alt (* 1665589/2000000000 (pow x 8))>
#<alt (* 1665589/2000000000 (pow x 8))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (/ 344398180852034095277/30586987988352776592 (pow x 2))>
#<alt (/ 344398180852034095277/30586987988352776592 (pow x 2))>
#<alt (/ 344398180852034095277/30586987988352776592 (pow x 2))>
#<alt (/ 344398180852034095277/30586987988352776592 (pow x 2))>
#<alt (/ 344398180852034095277/30586987988352776592 (pow x 2))>
#<alt (/ 344398180852034095277/30586987988352776592 (pow x 2))>
#<alt (/ 344398180852034095277/30586987988352776592 (pow x 2))>
#<alt (/ 344398180852034095277/30586987988352776592 (pow x 2))>
#<alt (/ 344398180852034095277/30586987988352776592 (pow x 2))>
#<alt (/ 344398180852034095277/30586987988352776592 (pow x 2))>
#<alt (/ 344398180852034095277/30586987988352776592 (pow x 2))>
#<alt (/ 344398180852034095277/30586987988352776592 (pow x 2))>
#<alt (/ 344398180852034095277/30586987988352776592 (pow x 4))>
#<alt (/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 4))>
#<alt (/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 4))>
#<alt (/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 4))>
#<alt (/ 1307076337763/8543989815576 (pow x 2))>
#<alt (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ 1307076337763/8543989815576 (pow x 2))>
#<alt (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))>

Calls

75 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ (+ (* (/ 1 (* x x)) (+ (/ (+ 1307076337763/8543989815576 (/ 344398180852034095277/30586987988352776592 (* x x))) (* x x)) 600041/2386628)) 1/2) x)
0.0ms	x	@	0	(/ 344398180852034095277/30586987988352776592 (* x x))
0.0ms	x	@	inf	(+ (* (* x x) (* (* (* x x) (* (* x (* x (* x x))) (* x (* x (* x x))))) 1789971/5000000000)) (+ (* (* x x) (+ (* (* 70002721/5000000000 (* x x)) (* x (* x (* x x)))) (* (* (* x (* x (* x x))) (* x (* x (* x x)))) 1665589/2000000000))) (+ (* x (* x (+ (* x (* x (+ (* (* x x) 694555761/10000000000) 2909738639/10000000000))) 7715471019/10000000000))) 1)))
0.0ms	x	@	0	(+ (* (/ 1 (* x x)) (+ (/ (+ 1307076337763/8543989815576 (/ 344398180852034095277/30586987988352776592 (* x x))) (* x x)) 600041/2386628)) 1/2)
0.0ms	x	@	0	(/ (+ (* x (* x 1/2)) 600041/2386628) (* (* x x) (* x x)))

simplify234.0ms (1.5%)

Memory

-7.8MiB live, 348.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 270×	`lower-fma.f64`
12 270×	`lower-fma.f32`
4 220×	`lower-*.f64`
4 220×	`lower-*.f32`
2 612×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	198	2720
1	516	2690
2	1258	2678
3	3317	2678
4	5743	2678
0	8172	2585

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 295

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

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

rewrite338.0ms (2.1%)

Memory

5.4MiB live, 404.6MiB allocated

Rules

8 172×	`lower-fma.f32`
8 146×	`lower-fma.f64`
5 196×	`lower-*.f32`
5 150×	`lower-*.f64`
2 756×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	1432
0	175	1044
1	847	747
2	7814	747
0	8307	689

Stop Event

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

Counts

25 → 614

Calls

Call 1

Inputs
(fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1789971/5000000000 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1665589/2000000000 binary64))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64) #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))))
(fma.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1665589/2000000000 binary64)))
(fma.f64 x (.f64 x (.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)))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64)))
(fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 36322091/5000000000 binary64))) (fma.f64 x (.f64 x (.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)))) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64))))
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x 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))
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) (* x x)) (/.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 600041/2386628 binary64)) (.f64 (.f64 x x) (.f64 x x))))) x)
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(/.f64 (.f64 (+.f64 #s(literal 2233072677571813184455900420990053947/623709222799758023272018403410575422976 binary64) (/.f64 #s(literal 40849105072576330460759397140548893959328530841486307022018933/28616079759001566601719178043263152054077092780146647666688 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (/.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x)) #s(literal 1307076337763/8543989815576 binary64)) #s(literal 1708448552739936059844169/72999761968666410492211776 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1708448552739936059844169/72999761968666410492211776 binary64) (/.f64 #s(literal 118610106974190384148652891234495913706729/935563834199637034908027605115863134464 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))))
(pow.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))))
(.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (neg.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))))
(.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))

eval186.0ms (1.2%)

Memory: -18.4MiB live, 256.7MiB allocated
Compiler: Compiled 79 554 to 2 728 computations (96.6% saved)

prune565.0ms (3.5%)

Memory

63.8MiB live, 904.0MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	901	8	909
Fresh	3	2	5
Picked	3	2	5
Done	1	2	3
Total	908	14	922

Accuracy

100.0%

Counts

922 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.1%	(/.f64 (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 36322091/5000000000 binary64))) (fma.f64 x (.f64 x (.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)))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64))))) (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1789971/5000000000 binary64)) (fma.f64 (.f64 x x) #s(approx (+ (* (* 70002721/5000000000 (* x x)) (* x (* x (* x x)))) (* (* (* x (* x (* x x))) (* x (* x (* x x)))) 1665589/2000000000)) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64) #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))))
▶	59.0%	(/.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 36322091/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64)))) (fma.f64 x (.f64 x #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64)))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)) (.f64 (.f64 x x) #s(literal 70002721/5000000000 binary64))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))))
	54.5%	(/.f64 (.f64 x #s(approx (+ ( x (* (* x (* x (* x x))) (* x 36322091/5000000000))) (+ (* x (* x (* (* x (* x (* x (* x (* x x))))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000)))) (+ (* x (* x (+ (* x (* x 106015151/2500000000)) 1049934947/10000000000))) 1))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))) (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1789971/5000000000 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1665589/2000000000 binary64))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64) #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))))
▶	54.7%	(.f64 (/.f64 #s(approx (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #s(approx (+ (+ (+ (+ (+ (+ 1 ( 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 694555761/10000000000 binary64)) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))) x)
✓	55.1%	(.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)
▶	54.3%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))) x)
✓	55.2%	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
	54.4%	#s(approx (/ (* x (+ (* x (* (* x (* x (* x x))) (* x 36322091/5000000000))) (+ (* x (* x (* (* x (* x (* x (* x (* x x))))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000)))) (+ (* x (* x (+ (* x (* x 106015151/2500000000)) 1049934947/10000000000))) 1)))) (+ (* (* x x) (* (* (* x x) (* (* x (* x (* x x))) (* x (* x (* x x))))) 1789971/5000000000)) (+ (* (* x x) (+ (* (* 70002721/5000000000 (* x x)) (* x (* x (* x x)))) (* (* (* x (* x (* x x))) (* x (* x (* x x)))) 1665589/2000000000))) (+ (* x (* x (+ (* x (* x (+ (* (* x x) 694555761/10000000000) 2909738639/10000000000))) 7715471019/10000000000))) 1)))) (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))
▶	47.1%	#s(approx (/ (* x (+ (* x (* (* x (* x (* x x))) (* x 36322091/5000000000))) (+ (* x (* x (* (* x (* x (* x (* x (* x x))))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000)))) (+ (* x (* x (+ (* x (* x 106015151/2500000000)) 1049934947/10000000000))) 1)))) (+ (* (* x x) (* (* (* x x) (* (* x (* x (* x x))) (* x (* x (* x x))))) 1789971/5000000000)) (+ (* (* x x) (+ (* (* 70002721/5000000000 (* x x)) (* x (* x (* x x)))) (* (* (* x (* x (* x x))) (* x (* x (* x x)))) 1665589/2000000000))) (+ (* x (* x (+ (* x (* x (+ (* (* x x) 694555761/10000000000) 2909738639/10000000000))) 7715471019/10000000000))) 1)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal -1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x))
	47.1%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x)) #s(literal 1/2 binary64)) x))
✓	47.1%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x 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))
▶	22.1%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(approx (+ 1/2 (/ 600041/2386628 (* x x))) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x x))) x))
✓	47.2%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x))
	17.2%	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) #s(approx (/ (+ 1/2 (/ 600041/2386628 (* x x))) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x)))))

Compiler

Compiled 940 to 404 computations (57% saved)

simplify452.0ms (2.8%)

Memory

-26.9MiB live, 498.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

23 414×	`lower-fma.f32`
23 378×	`lower-fma.f64`
5 760×	`lower-*.f32`
5 716×	`lower-*.f64`
5 220×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	2106
0	231	1714
1	646	1286
2	1914	1195
3	4831	1193
4	4982	1191
5	5137	1191
6	5300	1191
7	5486	1191
8	5794	1191
0	9455	1147

Stop Event

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

Calls

Call 1

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

localize510.0ms (3.2%)

Memory

12.5MiB live, 844.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	6.450097160518936	#s(approx (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))
accuracy	6.515377937859075	#s(approx (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 694555761/10000000000 binary64)) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))
accuracy	14.87692854959446	(.f64 (/.f64 #s(approx (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #s(approx (+ (+ (+ (+ (+ (+ 1 ( 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 694555761/10000000000 binary64)) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))) x)
accuracy	25.78587514544648	(/.f64 #s(approx (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 36322091/5000000000 binary64) #s(literal 106015151/2500000000 binary64))) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #s(approx (+ (+ (+ (+ (+ (+ 1 ( 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 694555761/10000000000 binary64)) #s(literal 2909738639/10000000000 binary64)) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))
accuracy	0.03515625	(/.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	0.14026129138909577	(/.f64 (-.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal -1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))
accuracy	0.28419877930532605	(/.f64 #s(literal -1307076337763/8543989815576 binary64) (*.f64 x x))
accuracy	33.85120603466471	#s(approx (/ (* x (+ (* x (* (* x (* x (* x x))) (* x 36322091/5000000000))) (+ (* x (* x (* (* x (* x (* x (* x (* x x))))) (+ (* x (* x 1789971/10000000000)) 2532017/5000000000)))) (+ (* x (* x (+ (* x (* x 106015151/2500000000)) 1049934947/10000000000))) 1)))) (+ (* (* x x) (* (* (* x x) (* (* x (* x (* x x))) (* x (* x (* x x))))) 1789971/5000000000)) (+ (* (* x x) (+ (* (* 70002721/5000000000 (* x x)) (* x (* x (* x x)))) (* (* (* x (* x (* x x))) (* x (* x (* x x)))) 1665589/2000000000))) (+ (* x (* x (+ (* x (* x (+ (* (* x x) 694555761/10000000000) 2909738639/10000000000))) 7715471019/10000000000))) 1)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal -1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x))
accuracy	0.0078125	(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))
accuracy	0.0390625	(/.f64 #s(approx (+ 1/2 (/ 600041/2386628 (* x x))) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x x))) x)
accuracy	15.684121694119973	(/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x x))
accuracy	33.87138265436064	#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(approx (+ 1/2 (/ 600041/2386628 (* x x))) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x x))) x))
accuracy	0.0703125	(fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))
accuracy	0.07421875	(*.f64 x #s(literal -833192009/1250000000 binary64))
accuracy	14.87692854959446	(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))) x)
accuracy	29.138320314965064	#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64)))
accuracy	0.11328125	(*.f64 x #s(literal 106015151/2500000000 binary64))
accuracy	0.13671875	(.f64 (.f64 x x) #s(literal 70002721/5000000000 binary64))
accuracy	0.2734375	(.f64 x (fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) #s(literal 2909738639/10000000000 binary64)))
accuracy	25.701603349407137	(/.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 36322091/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64)))) (fma.f64 x (.f64 x #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64)))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1789971/5000000000 binary64)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)) (.f64 (.f64 x x) #s(literal 70002721/5000000000 binary64))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))))

Samples

304.0ms

256×

valid

Compiler

Compiled 2 015 to 150 computations (92.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 255.0ms

ival-mult: 132.0ms (51.8% of total)

const: 58.0ms (22.8% of total)

ival-add: 46.0ms (18% of total)

ival-div: 14.0ms (5.5% of total)

ival-sub: 4.0ms (1.6% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.2%)

Memory

-5.1MiB live, 38.3MiB allocated

Counts

27 → 324

Calls

Call 1

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

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

Calls

81 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	(+ (* x (* (* x (* x x)) (* (* (* x (* x x)) (* x (* x (* x x)))) (* x 1789971/5000000000)))) (+ (* (* x x) (+ (* (* x (* x (* x x))) (+ (* x (* (* x (* x x)) 1665589/2000000000)) (* (* x x) 70002721/5000000000))) (+ (* x (* x (+ (* x (* x 694555761/10000000000)) 2909738639/10000000000))) 7715471019/10000000000))) 1))
0.0ms	x	@	inf	(+ (* x (* (* x (* x x)) (* (* (* x (* x x)) (* x (* x (* x x)))) (* x 1789971/5000000000)))) (+ (* (* x x) (+ (* (* x (* x (* x x))) (+ (* x (* (* x (* x x)) 1665589/2000000000)) (* (* x x) 70002721/5000000000))) (+ (* x (* x (+ (* x (* x 694555761/10000000000)) 2909738639/10000000000))) 7715471019/10000000000))) 1))
0.0ms	x	@	0	(/ (+ 1/2 (/ (- 600041/2386628 (/ -1307076337763/8543989815576 (* x x))) (* x x))) x)
0.0ms	x	@	-inf	(* x -833192009/1250000000)
0.0ms	x	@	0	(/ (- 600041/2386628 (/ -1307076337763/8543989815576 (* x x))) (* x x))

simplify254.0ms (1.6%)

Memory

-7.9MiB live, 415.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 960×	`lower-fma.f64`
11 960×	`lower-fma.f32`
4 262×	`lower-*.f64`
4 262×	`lower-*.f32`
3 162×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	217	3214
1	608	3184
2	1507	3159
3	3851	3064
0	8201	2936

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 319

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

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

rewrite410.0ms (2.6%)

Memory

47.0MiB live, 668.7MiB allocated

Rules

9 344×	`lower-fma.f32`
9 308×	`lower-fma.f64`
5 366×	`lower-*.f32`
5 322×	`lower-*.f64`
2 956×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	1714
0	231	1258
1	1223	969
0	8872	915

Stop Event

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

Counts

27 → 608

Calls

Call 1

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

eval236.0ms (1.5%)

Memory: -51.5MiB live, 378.7MiB allocated
Compiler: Compiled 72 955 to 2 981 computations (95.9% saved)

prune232.0ms (1.4%)

Memory

24.0MiB live, 624.3MiB allocated

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	920	7	927
Fresh	3	2	5
Picked	1	4	5
Done	0	4	4
Total	924	17	941

Accuracy

100.0%

Counts

941 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
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Compiler

Compiled 2 617 to 534 computations (79.6% saved)

regimes36.0ms (0.2%)

Memory

-32.7MiB live, 45.1MiB allocated

Counts

34 → 2

Calls

Call 1

Inputs
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Outputs

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Calls

2 calls:

10.0ms

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9.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`x`
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Compiler

Compiled 176 to 45 computations (74.4% saved)

regimes14.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

32 → 2

Calls

Call 1

Inputs
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Outputs

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Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

29 → 2

Calls

Call 1

Inputs
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Outputs

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes15.0ms (0.1%)

Memory

-26.0MiB live, 12.9MiB allocated

Counts

25 → 2

Calls

Call 1

Inputs
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Outputs

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Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated

Counts

24 → 2

Calls

Call 1

Inputs
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Outputs

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Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes24.0ms (0.2%)

Memory

-22.2MiB live, 17.4MiB allocated

Counts

22 → 2

Calls

Call 1

Inputs
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Outputs

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
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Outputs

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Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

16 → 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

-23.4MiB live, 14.7MiB allocated

Counts

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

5.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (*.f64 x (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
99.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Memory

13.6MiB live, 13.6MiB 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))
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))) x)
(.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 ( 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 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:

2.0ms

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

2.0ms

Results

Accuracy	Segments	Branch
96.0%	2	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)
99.0%	2	`x`

Compiler

Compiled 176 to 45 computations (74.4% saved)

regimes3.0ms (0%)

Memory

6.6MiB live, 6.6MiB 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))

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory

-31.7MiB live, 5.8MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory

9.8MiB live, 9.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

2 calls:

2.0ms

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

1.0ms

Results

Accuracy	Segments	Branch
55.2%	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)
55.2%	1	`x`

Compiler

Compiled 176 to 45 computations (74.4% saved)

bsearch30.0ms (0.2%)

Memory

18.3MiB live, 53.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
27.0ms	0.36901220607401075	459.360076504813

Samples

24.0ms

64×

valid

Compiler

Compiled 929 to 304 computations (67.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 11.0ms (50.7% of total)

const: 7.0ms (32.2% of total)

ival-add: 3.0ms (13.8% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch32.0ms (0.2%)

Memory

4.6MiB live, 47.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	459.360076504813	901.4436844792884

Samples

25.0ms

64×

valid

Compiler

Compiled 753 to 276 computations (63.3% saved)

Precisions

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

const: 13.0ms (57.2% of total)

ival-mult: 7.0ms (30.8% of total)

ival-add: 3.0ms (13.2% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch27.0ms (0.2%)

Memory

-18.1MiB live, 53.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
25.0ms	0.36901220607401075	459.360076504813

Samples

19.0ms

48×

valid

Compiler

Compiled 1 073 to 454 computations (57.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

const: 9.0ms (52.6% of total)

ival-mult: 5.0ms (29.2% of total)

ival-add: 2.0ms (11.7% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	0.36901220607401075	459.360076504813

Compiler

Compiled 1 045 to 440 computations (57.9% saved)

bsearch55.0ms (0.3%)

Memory

3.5MiB live, 89.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
49.0ms	0.36901220607401075	459.360076504813

Samples

38.0ms

112×

valid

Compiler

Compiled 1 121 to 472 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 15.0ms (43.7% of total)

const: 13.0ms (37.9% of total)

ival-add: 5.0ms (14.6% of total)

ival-div: 1.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch43.0ms (0.3%)

Memory

-12.0MiB live, 61.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
38.0ms	0.36901220607401075	459.360076504813

Samples

32.0ms

96×

valid

Compiler

Compiled 1 049 to 440 computations (58.1% saved)

Precisions

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

const: 13.0ms (45.1% of total)

ival-mult: 10.0ms (34.7% of total)

ival-add: 5.0ms (17.3% of total)

ival-div: 1.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch22.0ms (0.1%)

Memory

-4.7MiB live, 32.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.36901220607401075	459.360076504813

Samples

14.0ms

48×

valid

Compiler

Compiled 537 to 248 computations (53.8% saved)

Precisions

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

ival-mult: 5.0ms (38.3% of total)

const: 5.0ms (38.3% of total)

ival-add: 2.0ms (15.3% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch35.0ms (0.2%)

Memory

-1.8MiB live, 42.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	0.36901220607401075	459.360076504813

Samples

19.0ms

64×

valid

Compiler

Compiled 489 to 224 computations (54.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 7.0ms (40.1% of total)

const: 7.0ms (40.1% of total)

ival-add: 3.0ms (17.2% 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)

bsearch8.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.36901220607401075	459.360076504813

Samples

5.0ms

16×

valid

Compiler

Compiled 441 to 200 computations (54.6% saved)

Precisions

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

ival-mult: 2.0ms (47.3% of total)

const: 2.0ms (47.3% of total)

ival-add: 1.0ms (23.7% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.36901220607401075	459.360076504813

Compiler

Compiled 401 to 192 computations (52.1% saved)

bsearch34.0ms (0.2%)

Memory

15.0MiB live, 52.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	0.36901220607401075	459.360076504813

Samples

27.0ms

80×

valid

Compiler

Compiled 353 to 160 computations (54.7% saved)

Precisions

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

ival-mult: 10.0ms (41.5% of total)

const: 9.0ms (37.3% of total)

ival-add: 4.0ms (16.6% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch16.0ms (0.1%)

Memory

-12.3MiB live, 25.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.36901220607401075	459.360076504813

Samples

12.0ms

32×

valid

Compiler

Compiled 313 to 136 computations (56.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-add: 4.0ms (37.5% of total)

const: 4.0ms (37.5% of total)

ival-mult: 3.0ms (28.1% 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)

bsearch21.0ms (0.1%)

Memory

-0.5MiB live, 37.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.36901220607401075	459.360076504813

Samples

16.0ms

48×

valid

Compiler

Compiled 273 to 112 computations (59% saved)

Precisions

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

ival-mult: 7.0ms (47.9% of total)

const: 5.0ms (34.2% of total)

ival-add: 2.0ms (13.7% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify37.0ms (0.2%)

Memory

31.3MiB live, 71.9MiB allocated

Algorithm

1×	egg-herbie

Rules

134×	`*-commutative_binary64`
28×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	4676
1	362	4676

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 200 binary64)) (.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64)) x) x (+.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (.f64 (.f64 x x) #s(literal 106015151/2500000000 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 #s(literal 1789971/10000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x) #s(approx ( (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
(if (<=.f64 x #s(literal 720 binary64)) (/.f64 (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 36322091/5000000000 binary64))) (fma.f64 x (.f64 x (.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)))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64))))) (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1789971/5000000000 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 70002721/5000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1665589/2000000000 binary64))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 694555761/10000000000 binary64) #s(literal 2909738639/10000000000 binary64))) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64))))) #s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (.f64 x x))) (.f64 x x))) x)))
(if (<=.f64 x #s(literal 220 binary64)) (/.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 36322091/5000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1789971/10000000000 binary64)) #s(literal 2532017/5000000000 binary64)))) (fma.f64 x (.f64 x #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 x (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x #s(literal 70002721/5000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) #s(literal 2909738639/10000000000 binary64)))) #s(literal 7715471019/10000000000 binary64)))) #s(literal 1 binary64))) #s(approx ( (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
(if (<=.f64 x #s(literal 220 binary64)) (/.f64 (.f64 x (fma.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64) #s(literal 2532017/5000000000 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (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 (fma.f64 x (.f64 (.f64 #s(literal 1789971/5000000000 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 x (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x #s(literal 70002721/5000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1665589/2000000000 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 694555761/10000000000 binary64)) #s(literal 2909738639/10000000000 binary64)))) #s(literal 7715471019/10000000000 binary64)))) #s(literal 1 binary64))) #s(approx ( (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
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soundness1.7s (10.4%)

Memory

0.2MiB live, 1 271.7MiB allocated

Rules

11 960×	`lower-fma.f64`
11 960×	`lower-fma.f32`
9 344×	`lower-fma.f32`
9 308×	`lower-fma.f64`
8 900×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	1432
0	175	1044
1	847	747
2	7814	747
0	8307	689
0	158	1024
1	440	1024
2	1071	1016
3	2793	1016
4	4923	1016
5	6596	1016
0	8655	980
0	148	1714
0	231	1258
1	1223	969
0	8872	915
0	44	670
0	76	462
1	304	314
2	3040	274
0	9946	232
0	217	3214
1	608	3184
2	1507	3159
3	3851	3064
0	8201	2936
0	114	2385
0	198	1642
1	718	1164
2	5741	1035
0	8130	942

Stop Event

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

Compiler

Compiled 1 411 to 418 computations (70.4% saved)

preprocess212.0ms (1.3%)

Memory: 10.7MiB live, 436.2MiB allocated
Compiler: Compiled 3 128 to 752 computations (76% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample3.6s (22.3%)

explain944.0ms (5.9%)

preprocess483.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify541.0ms (3.4%)

localize183.0ms (1.1%)

series9.0ms (0.1%)

simplify250.0ms (1.6%)

rewrite547.0ms (3.4%)

eval207.0ms (1.3%)

prune108.0ms (0.7%)

simplify474.0ms (3%)

localize374.0ms (2.3%)

series43.0ms (0.3%)

simplify319.0ms (2%)

rewrite456.0ms (2.8%)

eval214.0ms (1.3%)

prune320.0ms (2%)

simplify416.0ms (2.6%)

localize724.0ms (4.5%)

series17.0ms (0.1%)

simplify234.0ms (1.5%)

rewrite338.0ms (2.1%)

eval186.0ms (1.2%)

prune565.0ms (3.5%)

simplify452.0ms (2.8%)

localize510.0ms (3.2%)

series27.0ms (0.2%)

simplify254.0ms (1.6%)

rewrite410.0ms (2.6%)

eval236.0ms (1.5%)

prune232.0ms (1.4%)

regimes36.0ms (0.2%)

regimes14.0ms (0.1%)

regimes13.0ms (0.1%)

regimes15.0ms (0.1%)

regimes11.0ms (0.1%)

regimes24.0ms (0.2%)

regimes9.0ms (0.1%)

regimes8.0ms (0%)

regimes7.0ms (0%)

regimes4.0ms (0%)

regimes6.0ms (0%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

bsearch30.0ms (0.2%)

bsearch32.0ms (0.2%)

bsearch27.0ms (0.2%)

bsearch2.0ms (0%)

bsearch55.0ms (0.3%)

bsearch43.0ms (0.3%)

bsearch22.0ms (0.1%)

bsearch35.0ms (0.2%)

bsearch8.0ms (0%)

bsearch1.0ms (0%)

bsearch34.0ms (0.2%)

bsearch16.0ms (0.1%)

bsearch21.0ms (0.1%)

simplify37.0ms (0.2%)

soundness1.7s (10.4%)

preprocess212.0ms (1.3%)

end0.0ms (0%)

Profiling