Metrics for Jmat.Real.dawson

analyze1.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 175 to 46 computations (73.7% saved)

sample3.5s (28.6%)

Memory

16.8MiB live, 4 236.0MiB allocated

Samples

2.9s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-mult: 1.1s (43.3% of total)

const: 1.0s (38.3% of total)

ival-add: 389.0ms (14.8% of total)

ival-div: 77.0ms (2.9% 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

preprocess711.0ms (5.9%)

Memory

-1.9MiB live, 791.8MiB 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)

explain962.0ms (8%)

Memory

-12.8MiB live, 1 142.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
106	-	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)))))
58	-	4	(2.4060967184133113e+155)	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)
0	-	0	-	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))
0	-	0	-	`(.f64 (.f64 x x) (*.f64 x x))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`#s(literal 1049934947/10000000000 binary64)`
0	-	0	-	`#s(literal 70002721/5000000000 binary64)`
0	-	0	-	`(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))))`
0	-	0	-	`#s(literal 2532017/5000000000 binary64)`
0	-	0	-	`(.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))`
0	-	0	-	`(.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))`
0	-	0	-	`(.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))`
0	-	0	-	`(.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))`
0	-	0	-	`(.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))`
0	-	0	-	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))
0	-	0	-	`(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x))))`
0	-	0	-	`#s(literal 7715471019/10000000000 binary64)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`
0	-	0	-	`(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (*.f64 x x))`
0	-	0	-	`#s(literal 1789971/10000000000 binary64)`
0	-	0	-	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))))
0	-	0	-	`(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x)))`
0	-	0	-	`#s(literal 694555761/10000000000 binary64)`
0	-	0	-	`(.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))`
0	-	0	-	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x)))`
0	-	0	-	`#s(literal 2909738639/10000000000 binary64)`
0	-	0	-	`(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x))))`
0	-	0	-	`(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))`
0	-	0	-	`(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`
0	-	0	-	`(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x))))`
0	-	0	-	`(+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x)))`
0	-	0	-	`#s(literal 106015151/2500000000 binary64)`
0	-	0	-	`(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x))))`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`#s(literal 36322091/5000000000 binary64)`
0	-	0	-	`#s(literal 1665589/2000000000 binary64)`
0	-	0	-	`(.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))`
0	-	0	-	`(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))))`
0	-	0	-	`(.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))`
0	-	0	-	`(.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))`
0	-	0	-	`(*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64))`
0	-	0	-	`(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x)))))	o/o	103	0
↳	`(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))`	overflow	291
↳	`(+.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	86
↳	`(.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))`	overflow	86
↳	(+.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	103
↳	`(*.f64 x x)`	overflow	870
↳	`(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x))))`	overflow	103
↳	`(.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))`	overflow	103
↳	`(.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))`	overflow	97
↳	`(.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	344
↳	`(.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	103
↳	`(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	206
↳	`(.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))`	overflow	58
↳	`(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x)))`	overflow	58
↳	`(+.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	97
↳	`(.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))`	overflow	86
↳	`(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	106
↳	(+.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	106
↳	`(.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	103
↳	`(.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	106
↳	`(.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))`	overflow	103
↳	`(.f64 (.f64 x x) (*.f64 x x))`	overflow	430
↳	`(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))`	overflow	388
↳	`(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x))))`	overflow	103
↳	`(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	309
↳	`(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x))))`	overflow	86
↳	`(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))`	overflow	58
↳	`(.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))`	overflow	97
↳	`(+.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	97
↳	`(*.f64 x x)`	overflow	1218
↳	(+.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	103
↳	`(+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x)))`	overflow	58
`*.f64`	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)	*nu**	54	0
`/.f64`	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x)))))	n/o	3	0
↳	`(.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))`	overflow	86
↳	`(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	106
↳	(+.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	106
↳	`(.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	103
↳	`(.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	106
↳	`(.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))`	overflow	103
↳	`(.f64 (.f64 x x) (*.f64 x x))`	overflow	430
↳	`(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))`	overflow	388
↳	`(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x))))`	overflow	103
↳	`(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (*.f64 x x))`	overflow	309
↳	`(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x))))`	overflow	86
↳	`(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))`	overflow	58
↳	`(.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))`	overflow	97
↳	`(+.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	97
↳	`(*.f64 x x)`	overflow	1218
↳	(+.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	103
↳	`(+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x)))`	overflow	58

Confusion

	Predicted +	Predicted -
+	106	0
-	0	150

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	106	0	0
-	0	0	150

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	150
1	52
2	54

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

205.0ms

512×

valid

Compiler

Compiled 2 440 to 180 computations (92.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

const: 75.0ms (47.6% of total)

ival-mult: 56.0ms (35.5% of total)

ival-add: 22.0ms (14% of total)

ival-div: 3.0ms (1.9% of total)

ival-true: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.6%	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)

Status

Accuracy

Program

▶

58.6%

(*.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)

simplify675.0ms (5.6%)

Memory

-29.4MiB live, 684.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs
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Outputs
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(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))))))))

localize175.0ms (1.4%)

Memory

36.6MiB live, 190.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))
✓	accuracy	99.7%	(.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))
✓	accuracy	80.0%	(.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)
✓	accuracy	59.3%	(/.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

93.0ms

256×

valid

Compiler

Compiled 1 046 to 46 computations (95.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

const: 32.0ms (42.9% of total)

ival-mult: 29.0ms (38.9% of total)

ival-add: 11.0ms (14.8% of total)

ival-div: 2.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Memory

-24.7MiB live, 12.9MiB 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 1049934947/10000000000 binary64) (.f64 x x))>
#<alt (.f64 #s(literal 7715471019/10000000000 binary64) (.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 (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x)))))
1.0ms	x	@	inf	(+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))
1.0ms	x	@	inf	(+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x))))
1.0ms	x	@	0	(* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x)
0.0ms	x	@	0	(+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))

rewrite549.0ms (4.5%)

Memory

35.4MiB live, 549.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

8 → 495

Calls

Call 1

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

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

simplify302.0ms (2.5%)

Memory

-35.1MiB live, 247.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 95

Calls

Call 1

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

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

eval148.0ms (1.2%)

Memory: 35.9MiB live, 225.9MiB allocated
Compiler: Compiled 148 704 to 2 946 computations (98% saved)

prune79.0ms (0.7%)

Memory

12.9MiB live, 132.2MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	583	7	590
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	584	7	591

Accuracy

100.0%

Counts

591 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.5%	(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) x)
▶	54.8%	(fma.f64 x (.f64 x (.f64 x #s(literal -833192009/1250000000 binary64))) x)
	47.3%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
▶	47.5%	(/.f64 #s(literal 1/2 binary64) x)
▶	54.8%	(.f64 (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64)) x)
	4.9%	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (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)))))))) x)
▶	55.6%	(*.f64 #s(literal 1 binary64) x)

Compiler

Compiled 292 to 136 computations (53.4% saved)

simplify17.0ms (0.1%)

Memory

-22.0MiB live, 16.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) x)
✓	cost-diff	0	(*.f64 x #s(literal -833192009/1250000000 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)))
✓	cost-diff	0	(fma.f64 x (.f64 x (.f64 x #s(literal -833192009/1250000000 binary64))) x)
✓	cost-diff	0	(*.f64 x #s(literal -833192009/1250000000 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64)) x)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	320	(*.f64 #s(literal 1 binary64) x)

Rules

316×	`lower-fma.f32`
308×	`lower-fma.f64`
232×	`lower-*.f32`
218×	`lower-*.f64`
154×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	84
0	32	82
1	59	82
2	147	79
3	267	79
4	328	79
5	331	79
0	331	76

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize72.0ms (0.6%)

Memory

7.8MiB live, 83.6MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) x)
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))
✓	accuracy	99.9%	(.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64)))
✓	accuracy	99.2%	(*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64))
✓	accuracy	99.9%	(fma.f64 x (.f64 x (.f64 x #s(literal -833192009/1250000000 binary64))) x)
✓	accuracy	99.8%	(*.f64 x #s(literal -833192009/1250000000 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(.f64 (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64)) x)
✓	accuracy	99.8%	(*.f64 x #s(literal -833192009/1250000000 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal 1 binary64) x)

Samples

48.0ms

256×

valid

Compiler

Compiled 86 to 22 computations (74.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 21.0ms (59.4% of total)

const: 8.0ms (22.6% of total)

ival-add: 4.0ms (11.3% of total)

ival-div: 2.0ms (5.7% 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

11.7MiB live, 11.7MiB allocated

Counts

12 → 144

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64)) x)>
#<alt (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 x #s(literal -833192009/1250000000 binary64))>
#<alt (fma.f64 x (.f64 x (.f64 x #s(literal -833192009/1250000000 binary64))) x)>
#<alt (.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)))>
#<alt (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) x)>
#<alt (*.f64 x x)>
#<alt (.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))>
#<alt (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64))>

Outputs
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt 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 (* -833192009/1250000000 (pow x 2))))>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* -833192009/1250000000 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* -833192009/1250000000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -833192009/1250000000 (pow x 2)))>
#<alt (+ 1 (* -833192009/1250000000 (pow x 2)))>
#<alt (+ 1 (* -833192009/1250000000 (pow x 2)))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt x>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* -833192009/1250000000 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* -833192009/1250000000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (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) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))>
#<alt (* 3321371254951887171/12500000000000000000 (pow x 5))>
#<alt (* (pow x 5) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* 3321371254951887171/12500000000000000000 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 833192009/1250000000 (/ 1 (pow x 2))) 3321371254951887171/12500000000000000000)))>
#<alt (* -1 (* (pow x 5) (- (* 833192009/1250000000 (/ 1 (pow x 2))) (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 833192009/1250000000 (/ 1 (pow x 2))) (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -833192009/1250000000 x)>
#<alt (* x (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))>
#<alt (* x (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))>
#<alt (* x (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))>
#<alt (* 3321371254951887171/12500000000000000000 (pow x 3))>
#<alt (* (pow x 3) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* 3321371254951887171/12500000000000000000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 833192009/1250000000 (/ 1 (pow x 2))) 3321371254951887171/12500000000000000000)))>
#<alt (* -1 (* (pow x 3) (- (* 833192009/1250000000 (/ 1 (pow x 2))) 3321371254951887171/12500000000000000000)))>
#<alt (* -1 (* (pow x 3) (- (* 833192009/1250000000 (/ 1 (pow x 2))) 3321371254951887171/12500000000000000000)))>
#<alt -833192009/1250000000>
#<alt (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)>
#<alt (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)>
#<alt (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)>
#<alt (* 3321371254951887171/12500000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* 3321371254951887171/12500000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* 3321371254951887171/12500000000000000000 x)>
#<alt (* 3321371254951887171/12500000000000000000 x)>
#<alt (* 3321371254951887171/12500000000000000000 x)>
#<alt (* 3321371254951887171/12500000000000000000 x)>
#<alt (* 3321371254951887171/12500000000000000000 x)>
#<alt (* 3321371254951887171/12500000000000000000 x)>
#<alt (* 3321371254951887171/12500000000000000000 x)>
#<alt (* 3321371254951887171/12500000000000000000 x)>
#<alt (* 3321371254951887171/12500000000000000000 x)>
#<alt (* 3321371254951887171/12500000000000000000 x)>
#<alt (* 3321371254951887171/12500000000000000000 x)>
#<alt (* 3321371254951887171/12500000000000000000 x)>

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* (+ (* x (* x -833192009/1250000000)) 1) x)
0.0ms	x	@	inf	(* (+ (* x (* x -833192009/1250000000)) 1) x)
0.0ms	x	@	-inf	(+ (* (* x x) (* x (+ (* x (* x 3321371254951887171/12500000000000000000)) -833192009/1250000000))) x)
0.0ms	x	@	inf	(+ (* (* x x) (* x (+ (* x (* x 3321371254951887171/12500000000000000000)) -833192009/1250000000))) x)
0.0ms	x	@	inf	(+ (* x (* x (* x -833192009/1250000000))) x)

rewrite452.0ms (3.7%)

Memory

1.2MiB live, 486.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

12 062×	`lower-fma.f32`
12 054×	`lower-fma.f64`
6 048×	`lower-*.f32`
6 034×	`lower-*.f64`
3 166×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	69
0	32	67
1	117	64
2	788	64
0	8193	61

Stop Event

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

Counts

12 → 696

Calls

Call 1

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

Outputs
x
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 x))
(neg.f64 (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x #s(literal 1 binary64))
(/.f64 (neg.f64 x) #s(literal -1 binary64))
(pow.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
(*.f64 (neg.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) x))
(neg.f64 (/.f64 #s(literal -1/2 binary64) x))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(+.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x (*.f64 x x))))
(+.f64 (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x (*.f64 x x))) x)
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 694208923861456081/1562500000000000000 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 694208923861456081/1562500000000000000 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64)))) (/.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 833192009/1250000000 binary64) x)) (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 694208923861456081/1562500000000000000 binary64) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 833192009/1250000000 binary64) x)))
(fma.f64 #s(literal 1 binary64) x (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x (*.f64 x x))) x)
(fma.f64 x #s(literal 1 binary64) (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x (*.f64 x x))))
(fma.f64 x (.f64 x (.f64 x #s(literal -833192009/1250000000 binary64))) x)
(fma.f64 x (/.f64 (.f64 x (.f64 #s(literal 694208923861456081/1562500000000000000 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64))))))
(fma.f64 #s(literal -833192009/1250000000 binary64) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x #s(literal -833192009/1250000000 binary64)) (.f64 x x) x)
(fma.f64 (.f64 x (.f64 x #s(literal -833192009/1250000000 binary64))) x x)
(fma.f64 (.f64 x (.f64 x #s(literal -833192009/1250000000 binary64))) (/.f64 (.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x (.f64 x x)))) (.f64 x (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64))))))
(fma.f64 (.f64 x x) (.f64 x #s(literal -833192009/1250000000 binary64)) x)
(fma.f64 (.f64 x x) (/.f64 (.f64 #s(literal 694208923861456081/1562500000000000000 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64))))))
(fma.f64 (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x (*.f64 x x))) #s(literal 1 binary64) x)
(fma.f64 (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x (.f64 x x))) (/.f64 (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64))))))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x (*.f64 x x))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -833192009/1250000000 binary64) x)
(fma.f64 (.f64 (.f64 x x) (.f64 #s(literal 694208923861456081/1562500000000000000 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64))))))
(fma.f64 (.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x (.f64 x x)))) (/.f64 (.f64 x (.f64 x #s(literal -833192009/1250000000 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64))))))
(fma.f64 (.f64 #s(literal 694208923861456081/1562500000000000000 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x (*.f64 x x))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64))))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -833192009/1250000000 binary64)) x)
(fma.f64 (.f64 x (.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x (.f64 x x))))) (/.f64 (.f64 x #s(literal -833192009/1250000000 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64))))))
(fma.f64 (.f64 x (.f64 #s(literal 694208923861456081/1562500000000000000 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64))))))
(fma.f64 (/.f64 x x) (/.f64 (.f64 x (.f64 #s(literal 694208923861456081/1562500000000000000 binary64) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64))))))
(fma.f64 (/.f64 (.f64 x x) x) (/.f64 (.f64 #s(literal 694208923861456081/1562500000000000000 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64))))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal -833192009/1250000000 binary64))) x) (/.f64 (.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64))))))
(fma.f64 (/.f64 (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x (.f64 x x))) x) (/.f64 (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x (.f64 x x))) (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64))))))
(fma.f64 (/.f64 (.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x (.f64 x x)))) x) (/.f64 (.f64 x (.f64 x #s(literal -833192009/1250000000 binary64))) (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64))))))
(fma.f64 (/.f64 (.f64 #s(literal 694208923861456081/1562500000000000000 binary64) (.f64 x (.f64 x (.f64 x x)))) x) (/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64))))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) x) (/.f64 (.f64 (.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64)) (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64))))))
(fma.f64 (/.f64 (.f64 x (.f64 #s(literal 694208923861456081/1562500000000000000 binary64) (.f64 x (.f64 x (.f64 x x))))) x) (/.f64 x (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64))))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x (.f64 x x))))) x) (/.f64 (.f64 x #s(literal -833192009/1250000000 binary64)) (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal -1 binary64))))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x (*.f64 x x))))
(fma.f64 (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
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(.f64 #s(literal 1 binary64) (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)))
(*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64))
(*.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) x)
(.f64 (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal 1 binary64))

simplify274.0ms (2.3%)

Memory

-15.5MiB live, 389.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 542×	`lower-fma.f64`
7 542×	`lower-fma.f32`
3 314×	`lower-*.f64`
3 314×	`lower-*.f32`
1 952×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	782
1	129	740
2	355	740
3	1149	740
4	3641	740
5	6760	740
0	8330	690

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 129

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
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 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* -833192009/1250000000 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* -833192009/1250000000 (pow x 3))
(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (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 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* -833192009/1250000000 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* -833192009/1250000000 (pow x 3))
(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (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) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* 3321371254951887171/12500000000000000000 (pow x 5))
(* (pow x 5) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* 3321371254951887171/12500000000000000000 (pow x 5))
(* -1 (* (pow x 5) (- (* 833192009/1250000000 (/ 1 (pow x 2))) 3321371254951887171/12500000000000000000)))
(* -1 (* (pow x 5) (- (* 833192009/1250000000 (/ 1 (pow x 2))) (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 833192009/1250000000 (/ 1 (pow x 2))) (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -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)))
-833192009/1250000000
(- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)
(- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)
(- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)
(* 3321371254951887171/12500000000000000000 (pow x 2))
(* (pow x 2) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* 3321371254951887171/12500000000000000000 (pow x 2))
(* (pow x 2) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* 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)

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x)) x)
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x)) x)
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x)) x)
(* -833192009/1250000000 (pow x 3))
(.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))
(fma.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))
(fma.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))
(fma.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x)) x)
(* -833192009/1250000000 (pow x 3))
(.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x)) x)
(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x)) x)
(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x)) x)
1
#s(literal 1 binary64)
(+ 1 (* -833192009/1250000000 (pow x 2)))
(fma.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -833192009/1250000000 (pow x 2)))
(fma.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -833192009/1250000000 (pow x 2)))
(fma.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(* -833192009/1250000000 (pow x 2))
(.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(fma.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(fma.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(fma.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(* -833192009/1250000000 (pow x 2))
(.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(fma.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(fma.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(fma.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x)) x)
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x)) x)
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x)) x)
(* -833192009/1250000000 (pow x 3))
(.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))
(fma.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))
(fma.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))
(fma.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x)) x)
(* -833192009/1250000000 (pow x 3))
(.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x)) x)
(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x)) x)
(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x)) x)
(* -833192009/1250000000 (pow x 2))
(.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x))
(* -833192009/1250000000 (pow x 2))
(.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x))
(* -833192009/1250000000 (pow x 2))
(.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x))
(* -833192009/1250000000 (pow x 2))
(.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x))
(* -833192009/1250000000 (pow x 2))
(.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x))
(* -833192009/1250000000 (pow x 2))
(.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x))
(* -833192009/1250000000 (pow x 2))
(.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x))
(* -833192009/1250000000 (pow x 2))
(.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x))
(* -833192009/1250000000 (pow x 2))
(.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x))
(* -833192009/1250000000 (pow x 2))
(.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x))
(* -833192009/1250000000 (pow x 2))
(.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x))
(* -833192009/1250000000 (pow x 2))
(.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64) #s(literal -833192009/1250000000 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64) #s(literal -833192009/1250000000 binary64))) x)
(* 3321371254951887171/12500000000000000000 (pow x 5))
(*.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 x x)) x))))
(* (pow x 5) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 x x)) x))))
(* 3321371254951887171/12500000000000000000 (pow x 5))
(*.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 833192009/1250000000 (/ 1 (pow x 2))) 3321371254951887171/12500000000000000000)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 833192009/1250000000 (/ 1 (pow x 2))) (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 x x)) x))))
(* -1 (* (pow x 5) (- (* 833192009/1250000000 (/ 1 (pow x 2))) (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 x x)) x))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* x (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))
(.f64 x (fma.f64 (.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64) #s(literal -833192009/1250000000 binary64)))
(* x (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))
(.f64 x (fma.f64 (.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64) #s(literal -833192009/1250000000 binary64)))
(* x (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))
(.f64 x (fma.f64 (.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64) #s(literal -833192009/1250000000 binary64)))
(* 3321371254951887171/12500000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 3321371254951887171/12500000000000000000 binary64))
(* (pow x 3) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64) #s(literal -833192009/1250000000 binary64)))
(* (pow x 3) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64) #s(literal -833192009/1250000000 binary64)))
(* (pow x 3) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64) #s(literal -833192009/1250000000 binary64)))
(* 3321371254951887171/12500000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 3321371254951887171/12500000000000000000 binary64))
(* -1 (* (pow x 3) (- (* 833192009/1250000000 (/ 1 (pow x 2))) 3321371254951887171/12500000000000000000)))
(.f64 x (fma.f64 (.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64) #s(literal -833192009/1250000000 binary64)))
(* -1 (* (pow x 3) (- (* 833192009/1250000000 (/ 1 (pow x 2))) 3321371254951887171/12500000000000000000)))
(.f64 x (fma.f64 (.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64) #s(literal -833192009/1250000000 binary64)))
(* -1 (* (pow x 3) (- (* 833192009/1250000000 (/ 1 (pow x 2))) 3321371254951887171/12500000000000000000)))
(.f64 x (fma.f64 (.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64) #s(literal -833192009/1250000000 binary64)))
-833192009/1250000000
#s(literal -833192009/1250000000 binary64)
(- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)
(fma.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64) #s(literal -833192009/1250000000 binary64))
(- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)
(fma.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64) #s(literal -833192009/1250000000 binary64))
(- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)
(fma.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64) #s(literal -833192009/1250000000 binary64))
(* 3321371254951887171/12500000000000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)))
(* (pow x 2) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64) #s(literal -833192009/1250000000 binary64))
(* (pow x 2) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64) #s(literal -833192009/1250000000 binary64))
(* (pow x 2) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64) #s(literal -833192009/1250000000 binary64))
(* 3321371254951887171/12500000000000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)))
(* (pow x 2) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64) #s(literal -833192009/1250000000 binary64))
(* (pow x 2) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64) #s(literal -833192009/1250000000 binary64))
(* (pow x 2) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64) #s(literal -833192009/1250000000 binary64))
(* 3321371254951887171/12500000000000000000 x)
(*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64))
(* 3321371254951887171/12500000000000000000 x)
(*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64))
(* 3321371254951887171/12500000000000000000 x)
(*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64))
(* 3321371254951887171/12500000000000000000 x)
(*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64))
(* 3321371254951887171/12500000000000000000 x)
(*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64))
(* 3321371254951887171/12500000000000000000 x)
(*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64))
(* 3321371254951887171/12500000000000000000 x)
(*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64))
(* 3321371254951887171/12500000000000000000 x)
(*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64))
(* 3321371254951887171/12500000000000000000 x)
(*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64))
(* 3321371254951887171/12500000000000000000 x)
(*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64))
(* 3321371254951887171/12500000000000000000 x)
(*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64))
(* 3321371254951887171/12500000000000000000 x)
(*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64))

eval114.0ms (0.9%)

Memory: 5.8MiB live, 200.2MiB allocated
Compiler: Compiled 27 221 to 1 583 computations (94.2% saved)

prune76.0ms (0.6%)

Memory

40.2MiB live, 153.2MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	840	1	841
Fresh	0	2	2
Picked	1	4	5
Done	0	0	0
Total	841	7	848

Accuracy

100.0%

Counts

848 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.5%	(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) x)
✓	54.8%	(fma.f64 x (.f64 x (.f64 x #s(literal -833192009/1250000000 binary64))) x)
▶	47.3%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
✓	47.5%	(/.f64 #s(literal 1/2 binary64) x)
✓	54.8%	(.f64 (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64)) x)
▶	4.9%	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (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)))))))) x)
▶	55.6%	x

Compiler

Compiled 144 to 66 computations (54.2% saved)

simplify882.0ms (7.3%)

Memory

-68.8MiB live, 786.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 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	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	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	2688	(+.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))))

Rules

21 782×	`lower-fma.f64`
21 782×	`lower-fma.f32`
6 614×	`lower-*.f32`
6 586×	`lower-*.f64`
3 260×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	604
0	69	490
1	142	378
2	379	342
3	1223	334
4	3849	334
5	4668	334
6	5586	334
7	6751	334
8	7195	334
9	7195	334
0	8608	309

Stop Event

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

Calls

Call 1

Inputs
x
(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (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)))))))) x)
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (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))))))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x))))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x)))
#s(literal 1 binary64)
(.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))
#s(literal 1049934947/10000000000 binary64)
(*.f64 x x)
x
(.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))
#s(literal 106015151/2500000000 binary64)
(.f64 (.f64 x x) (*.f64 x x))
(.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))
#s(literal 36322091/5000000000 binary64)
(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))
(.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))
#s(literal 2532017/5000000000 binary64)
(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (*.f64 x x))
(.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))
#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 (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.f64 x #s(literal 12 binary64))
#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))))))
#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)))))
(/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))
#s(literal 1665589/2000000000 binary64)
(/.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (*.f64 x x))))
#s(literal 70002721/5000000000 binary64)
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
#s(literal 1/2 binary64)
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
#s(literal 600041/2386628 binary64)
(*.f64 x x)
x

Outputs
x
(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (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)))))))) x)
(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64) #s(literal 2532017/5000000000 binary64))) #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (.f64 (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 #s(literal 1665589/2000000000 binary64) (*.f64 x x))))))
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.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))))))))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64) #s(literal 2532017/5000000000 binary64))) #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)) (.f64 (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 #s(literal 1665589/2000000000 binary64) (.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))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64) #s(literal 2532017/5000000000 binary64))) #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))
(+.f64 (+.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))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2532017/5000000000 binary64) #s(literal 36322091/5000000000 binary64))) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))
(+.f64 (+.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))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))
(+.f64 (+.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))))
(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))
#s(literal 1049934947/10000000000 binary64)
(*.f64 x x)
x
(.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 106015151/2500000000 binary64))))
#s(literal 106015151/2500000000 binary64)
(.f64 (.f64 x x) (*.f64 x x))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))
(.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 36322091/5000000000 binary64)))))
#s(literal 36322091/5000000000 binary64)
(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))
(.f64 (.f64 x 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 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.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))
(.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 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 x (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 x (.f64 x x)))))
#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 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (*.f64 x x))))))
(.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)))))))
(.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 #s(literal 1665589/2000000000 binary64) (*.f64 x x)))))
(pow.f64 x #s(literal 12 binary64))
#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))))))
(+.f64 (/.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x))))
#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)))))
(/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))
#s(literal 1665589/2000000000 binary64)
(/.f64 #s(literal 70002721/5000000000 binary64) (.f64 x (.f64 x (*.f64 x x))))
#s(literal 70002721/5000000000 binary64)
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
#s(literal 1/2 binary64)
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
#s(literal 600041/2386628 binary64)
(*.f64 x x)
x

localize226.0ms (1.9%)

Memory

18.6MiB live, 352.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
✓	accuracy	98.7%	(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
✓	accuracy	99.0%	(/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))
✓	accuracy	77.5%	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.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)))))))) x)
✓	accuracy	59.3%	(/.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 (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))))))))
✓	accuracy	59.2%	(.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)))))))

Samples

128.0ms

256×

valid

Compiler

Compiled 606 to 43 computations (92.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-mult: 39.0ms (37.2% of total)

const: 39.0ms (37.2% of total)

ival-div: 15.0ms (14.3% of total)

ival-add: 9.0ms (8.6% of total)

ival-pow: 3.0ms (2.9% of total)

exact: 1.0ms (1% of total)

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

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

series12.0ms (0.1%)

Memory

-6.2MiB live, 28.3MiB allocated

Counts

12 → 144

Calls

Call 1

Inputs
#<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 #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))))>
#<alt (+.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))))>
#<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 x x)>
#<alt (.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)))))))>
#<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 (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))))))))>
#<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 (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)))))))) x)>
#<alt (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))>

Outputs
#<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 (* 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 (* 36322091/5000000000 (pow x 6))>
#<alt (* (pow x 6) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (* 106015151/2500000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (+ (* 106015151/2500000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 36322091/5000000000 (pow x 6))>
#<alt (* (pow x 6) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (* 106015151/2500000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (+ (* 106015151/2500000000 (/ 1 (pow x 2))) (/ 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 (* 106015151/2500000000 (pow x 2)))))>
#<alt (* 106015151/2500000000 (pow x 4))>
#<alt (* (pow x 4) (+ 106015151/2500000000 (* 1049934947/10000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 106015151/2500000000 (+ (* 1049934947/10000000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 106015151/2500000000 (+ (* 1049934947/10000000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 106015151/2500000000 (pow x 4))>
#<alt (* (pow x 4) (+ 106015151/2500000000 (* 1049934947/10000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 106015151/2500000000 (+ (* 1049934947/10000000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 106015151/2500000000 (+ (* 1049934947/10000000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 70002721/5000000000 (pow x 8))>
#<alt (* (pow x 8) (+ 70002721/5000000000 (* 1665589/2000000000 (pow x 2))))>
#<alt (* (pow x 8) (+ 70002721/5000000000 (* (pow x 2) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))))>
#<alt (* (pow x 8) (+ 70002721/5000000000 (* (pow x 2) (+ 1665589/2000000000 (* 1789971/5000000000 (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))))))>
#<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))))))>
#<alt (/ 5000000000/70002721 (pow x 8))>
#<alt (/ (+ 5000000000/70002721 (* 31858578162990787/9800761894807682 (pow x 2))) (pow x 8))>
#<alt (/ (+ 5000000000/70002721 (* (pow x 2) (+ 31858578162990787/9800761894807682 (* 1384743711830921783117213/1372160001019307023405444 (pow x 2))))) (pow x 8))>
#<alt (/ (+ 5000000000/70002721 (* (pow x 2) (+ 31858578162990787/9800761894807682 (* (pow x 2) (+ 1384743711830921783117213/1372160001019307023405444 (* 72179490022073514705696438035055/192109867437428530345583532426248 (pow x 2))))))) (pow x 8))>
#<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))) (* 3311536855018853261945/30586987988352776592 (/ 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))) (* 3311536855018853261945/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))>
#<alt (/ 5000000000/70002721 (pow x 7))>
#<alt (/ (+ 5000000000/70002721 (* 31858578162990787/9800761894807682 (pow x 2))) (pow x 7))>
#<alt (/ (+ 5000000000/70002721 (* (pow x 2) (+ 31858578162990787/9800761894807682 (* 1384743711830921783117213/1372160001019307023405444 (pow x 2))))) (pow x 7))>
#<alt (/ (+ 5000000000/70002721 (* (pow x 2) (+ 31858578162990787/9800761894807682 (* (pow x 2) (+ 1384743711830921783117213/1372160001019307023405444 (* 72179490022073514705696438035055/192109867437428530345583532426248 (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))) (* 3311536855018853261945/30586987988352776592 (/ 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 (* 3311536855018853261945/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))>
#<alt (/ 1665589/2000000000 (pow x 2))>
#<alt (/ 1665589/2000000000 (pow x 2))>
#<alt (/ 1665589/2000000000 (pow x 2))>
#<alt (/ 1665589/2000000000 (pow x 2))>
#<alt (/ 1665589/2000000000 (pow x 2))>
#<alt (/ 1665589/2000000000 (pow x 2))>
#<alt (/ 1665589/2000000000 (pow x 2))>
#<alt (/ 1665589/2000000000 (pow x 2))>
#<alt (/ 1665589/2000000000 (pow x 2))>
#<alt (/ 1665589/2000000000 (pow x 2))>
#<alt (/ 1665589/2000000000 (pow x 2))>
#<alt (/ 1665589/2000000000 (pow x 2))>

Calls

36 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(/ 1665589/2000000000 (* x x))
0.0ms	x	@	inf	(/ (+ 1/2 (/ 600041/2386628 (* x x))) x)
0.0ms	x	@	0	(* (pow x 12) (+ 1789971/5000000000 (+ (/ 1665589/2000000000 (* x x)) (/ 70002721/5000000000 (* x (* x (* x x)))))))
0.0ms	x	@	0	(/ (+ 1/2 (/ 600041/2386628 (* x x))) x)
0.0ms	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)))) (* (pow x 12) (+ 1789971/5000000000 (+ (/ 1665589/2000000000 (* x x)) (/ 70002721/5000000000 (* x (* x (* x x))))))))

rewrite423.0ms (3.5%)

Memory

10.8MiB live, 854.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 588×	`lower-/.f32`
4 578×	`lower-/.f64`
4 122×	`lower-*.f32`
4 094×	`lower-*.f64`
4 056×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	406
0	69	310
1	299	248
2	2831	234
0	8620	202

Stop Event

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

Counts

12 → 562

Calls

Call 1

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

Outputs
(+.f64 (fma.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1789971/10000000000 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)) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1789971/10000000000 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)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64) (.f64 (.f64 #s(literal 2532017/5000000000 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)))) (.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.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 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1789971/10000000000 binary64))))))
(+.f64 (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 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1789971/10000000000 binary64)))))
(+.f64 (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (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 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))
(+.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64) (.f64 (.f64 #s(literal 2532017/5000000000 binary64) (.f64 x 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 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))
(+.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64) (.f64 (.f64 #s(literal 2532017/5000000000 binary64) (.f64 x 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 (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1789971/10000000000 binary64)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64))) (fma.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1789971/10000000000 binary64)) (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 x))) #s(literal 36322091/5000000000 binary64) (.f64 (.f64 #s(literal 2532017/5000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))))
(+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1789971/10000000000 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64))) (fma.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))
(-.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64) (.f64 (.f64 #s(literal 2532017/5000000000 binary64) (.f64 x 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))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64) (.f64 (.f64 #s(literal 2532017/5000000000 binary64) (.f64 x 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 (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64) (.f64 (.f64 #s(literal 2532017/5000000000 binary64) (.f64 x 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 -1789971/10000000000 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))))) (/.f64 (.f64 #s(literal 3203996180841/100000000000000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (+.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64) (.f64 (.f64 #s(literal 2532017/5000000000 binary64) (.f64 x 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 -1789971/10000000000 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))))
(-.f64 (/.f64 (.f64 (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 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64))) (fma.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64)))) (-.f64 (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 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1789971/10000000000 binary64)))))) (/.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1789971/10000000000 binary64)))) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1789971/10000000000 binary64))))) (-.f64 (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 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1789971/10000000000 binary64)))))))
(-.f64 (/.f64 (.f64 #s(literal 3203996180841/100000000000000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64) (.f64 (.f64 #s(literal 2532017/5000000000 binary64) (.f64 x 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 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64) (.f64 (.f64 #s(literal 2532017/5000000000 binary64) (.f64 x 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))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64) (.f64 (.f64 #s(literal 2532017/5000000000 binary64) (.f64 x 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 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64) (.f64 (.f64 #s(literal 2532017/5000000000 binary64) (.f64 x 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))))))
(fma.f64 (.f64 x x) (.f64 (.f64 #s(literal 2532017/5000000000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (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 #s(literal 1049934947/10000000000 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1789971/10000000000 binary64)))))
(fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1789971/10000000000 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36322091/5000000000 binary64) (.f64 (.f64 #s(literal 2532017/5000000000 binary64) (.f64 x 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))))
(fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 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 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1789971/10000000000 binary64))))))
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(/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))
(/.f64 #s(literal 1665589/2000000000 binary64) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 #s(literal -1665589/2000000000 binary64) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal -1665589/2000000000 binary64) (neg.f64 (neg.f64 (neg.f64 (*.f64 x x)))))
(/.f64 (/.f64 #s(literal 1665589/2000000000 binary64) x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 2000000000/1665589 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 2000000000/1665589 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal 1665589/2000000000 binary64) x))))
(/.f64 (neg.f64 (/.f64 #s(literal 1665589/2000000000 binary64) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1665589/2000000000 binary64) x))) (neg.f64 (neg.f64 x)))
(pow.f64 (.f64 (.f64 x x) #s(literal 2000000000/1665589 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 2000000000/1665589 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 1665589/2000000000 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (.f64 x x)))
(.f64 #s(literal 1665589/2000000000 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal -1665589/2000000000 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1665589/2000000000 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1665589/2000000000 binary64) x))
(*.f64 (/.f64 #s(literal 1665589/2000000000 binary64) x) (/.f64 #s(literal 1 binary64) x))

simplify283.0ms (2.3%)

Memory

19.8MiB live, 571.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 834×	`lower-fma.f64`
8 834×	`lower-fma.f32`
3 682×	`lower-*.f64`
3 682×	`lower-*.f32`
1 996×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	1382
1	444	1382
2	1063	1372
3	2336	1372
4	4002	1372
5	7579	1372
0	8301	1310

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
1
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))))))
(* 1789971/10000000000 (pow x 10))
(* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
(* 1789971/10000000000 (pow x 10))
(* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
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)))))
(/ 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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 70002721/5000000000 (pow x 8))
(* (pow x 8) (+ 70002721/5000000000 (* 1665589/2000000000 (pow x 2))))
(* (pow x 8) (+ 70002721/5000000000 (* (pow x 2) (+ 1665589/2000000000 (* 1789971/5000000000 (pow x 2))))))
(* (pow x 8) (+ 70002721/5000000000 (* (pow x 2) (+ 1665589/2000000000 (* 1789971/5000000000 (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))))))
(* 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))))))
(/ 5000000000/70002721 (pow x 8))
(/ (+ 5000000000/70002721 (* 31858578162990787/9800761894807682 (pow x 2))) (pow x 8))
(/ (+ 5000000000/70002721 (* (pow x 2) (+ 31858578162990787/9800761894807682 (* 1384743711830921783117213/1372160001019307023405444 (pow x 2))))) (pow x 8))
(/ (+ 5000000000/70002721 (* (pow x 2) (+ 31858578162990787/9800761894807682 (* (pow x 2) (+ 1384743711830921783117213/1372160001019307023405444 (* 72179490022073514705696438035055/192109867437428530345583532426248 (pow x 2))))))) (pow x 8))
(/ 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))) (* 3311536855018853261945/30586987988352776592 (/ 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))) (* 3311536855018853261945/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(/ 5000000000/70002721 (pow x 7))
(/ (+ 5000000000/70002721 (* 31858578162990787/9800761894807682 (pow x 2))) (pow x 7))
(/ (+ 5000000000/70002721 (* (pow x 2) (+ 31858578162990787/9800761894807682 (* 1384743711830921783117213/1372160001019307023405444 (pow x 2))))) (pow x 7))
(/ (+ 5000000000/70002721 (* (pow x 2) (+ 31858578162990787/9800761894807682 (* (pow x 2) (+ 1384743711830921783117213/1372160001019307023405444 (* 72179490022073514705696438035055/192109867437428530345583532426248 (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))) (* 3311536855018853261945/30586987988352776592 (/ 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 (* 3311536855018853261945/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/ 1665589/2000000000 (pow x 2))
(/ 1665589/2000000000 (pow x 2))
(/ 1665589/2000000000 (pow x 2))
(/ 1665589/2000000000 (pow x 2))
(/ 1665589/2000000000 (pow x 2))
(/ 1665589/2000000000 (pow x 2))
(/ 1665589/2000000000 (pow x 2))
(/ 1665589/2000000000 (pow x 2))
(/ 1665589/2000000000 (pow x 2))
(/ 1665589/2000000000 (pow x 2))
(/ 1665589/2000000000 (pow x 2))
(/ 1665589/2000000000 (pow x 2))

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

eval173.0ms (1.4%)

Memory: -0.6MiB live, 378.4MiB allocated
Compiler: Compiled 97 452 to 3 160 computations (96.8% saved)

prune130.0ms (1.1%)

Memory

18.2MiB live, 222.5MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	994	1	995
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	995	7	1 002

Accuracy

100.0%

Counts

1 002 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.5%	(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) x)
✓	54.8%	(fma.f64 x (.f64 x (.f64 x #s(literal -833192009/1250000000 binary64))) x)
▶	17.9%	(/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x)))
✓	47.3%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
✓	47.5%	(/.f64 #s(literal 1/2 binary64) x)
✓	54.8%	(.f64 (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64)) x)
✓	55.6%	x

Compiler

Compiled 61 to 37 computations (39.3% saved)

simplify5.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 x (.f64 x x))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))
✓	cost-diff	(/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x)))

Rules

18×	`lower-*.f32`
14×	`lower-*.f64`
12×	`lower-/.f32`
10×	`lower-/.f64`
8×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	29
0	12	25
1	21	25
2	28	25
3	28	25
0	28	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 600041/2386628 binary64)
(.f64 x (.f64 x x))

Outputs
(/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x)))
(/.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 600041/2386628 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 600041/2386628 binary64)
(.f64 x (.f64 x x))

localize33.0ms (0.3%)

Memory

-5.5MiB live, 35.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	70.8%	(/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x)))

Samples

24.0ms

256×

valid

Compiler

Compiled 31 to 10 computations (67.7% saved)

Precisions

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

const: 9.0ms (51.9% of total)

ival-mult: 5.0ms (28.9% of total)

ival-div: 1.0ms (5.8% of total)

ival-add: 1.0ms (5.8% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x)))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))>
#<alt (*.f64 x x)>
#<alt (.f64 x (.f64 x x))>

Outputs
#<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>
#<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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ (+ (* (* x x) 1/2) 600041/2386628) (* x (* x x)))
0.0ms	x	@	inf	(/ (+ (* (* x x) 1/2) 600041/2386628) (* x (* x x)))
0.0ms	x	@	-inf	(* x (* x x))
0.0ms	x	@	-inf	(/ (+ (* (* x x) 1/2) 600041/2386628) (* x (* x x)))
0.0ms	x	@	0	(* x (* x x))

rewrite329.0ms (2.7%)

Memory

-27.8MiB live, 412.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 510×	`lower-/.f32`
4 508×	`lower-/.f64`
4 084×	`lower-*.f32`
4 080×	`lower-*.f64`
3 076×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	26
0	12	22
1	45	22
2	284	22
3	2740	22
0	8111	22

Stop Event

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

Counts

4 → 527

Calls

Call 1

Inputs
(/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64))
(*.f64 x x)
(.f64 x (.f64 x x))

Outputs
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 600041/2386628 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 600041/2386628 binary64)))
(+.f64 (.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal -600041/2386628 binary64)) (.f64 x (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -600041/2386628 binary64))) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -600041/2386628 binary64))) (.f64 x (.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal -600041/2386628 binary64)) (.f64 x (*.f64 x x))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -600041/2386628 binary64))))) (/.f64 #s(literal 360049201681/5695993210384 binary64) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -600041/2386628 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (-.f64 #s(literal 600041/2386628 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x (.f64 x x))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (-.f64 #s(literal 600041/2386628 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x (.f64 x x))))
(-.f64 (/.f64 #s(literal -600041/2386628 binary64) (neg.f64 (.f64 x (.f64 x x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (neg.f64 (.f64 x (.f64 x x)))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (neg.f64 (.f64 x (.f64 x x)))) (/.f64 #s(literal 600041/2386628 binary64) (neg.f64 (.f64 x (.f64 x x)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 600041/2386628 binary64))) (neg.f64 (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 600041/2386628 binary64))) (neg.f64 (.f64 x (.f64 x x)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/64 binary64))) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) #s(literal -216044283025868921/13594216883712345152 binary64))) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 600041/4773256 binary64)) #s(literal 360049201681/5695993210384 binary64)))) (/.f64 (/.f64 #s(literal 46675132228161753979526487073704241/184802732681409784673190638047577903104 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) #s(literal -216044283025868921/13594216883712345152 binary64))) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 600041/4773256 binary64)) #s(literal 360049201681/5695993210384 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/64 binary64))) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) #s(literal -216044283025868921/13594216883712345152 binary64))) (.f64 (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 600041/4773256 binary64)) #s(literal 360049201681/5695993210384 binary64))) (neg.f64 (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 46675132228161753979526487073704241/184802732681409784673190638047577903104 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) #s(literal -216044283025868921/13594216883712345152 binary64))) (.f64 (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 600041/4773256 binary64)) #s(literal 360049201681/5695993210384 binary64))) (neg.f64 (.f64 x (.f64 x x))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/64 binary64))) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) #s(literal -216044283025868921/13594216883712345152 binary64))) (.f64 (neg.f64 (.f64 x (.f64 x x))) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 600041/4773256 binary64)) #s(literal 360049201681/5695993210384 binary64))))) (/.f64 (/.f64 #s(literal 46675132228161753979526487073704241/184802732681409784673190638047577903104 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) #s(literal -216044283025868921/13594216883712345152 binary64))) (.f64 (neg.f64 (.f64 x (.f64 x x))) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 600041/4773256 binary64)) #s(literal 360049201681/5695993210384 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/64 binary64))) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 360049201681/22783972841536 binary64) #s(literal 129635427631125413225761/32444338652740626885427456 binary64)))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -600041/2386628 binary64))))) (/.f64 (/.f64 #s(literal 46675132228161753979526487073704241/184802732681409784673190638047577903104 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 360049201681/22783972841536 binary64) #s(literal 129635427631125413225761/32444338652740626885427456 binary64)))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -600041/2386628 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) #s(literal 360049201681/5695993210384 binary64))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -600041/2386628 binary64))))) (/.f64 (/.f64 #s(literal 129635427631125413225761/32444338652740626885427456 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) #s(literal 360049201681/5695993210384 binary64))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -600041/2386628 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 600041/2386628 binary64)) (neg.f64 (.f64 x (.f64 x x))))) (/.f64 #s(literal 360049201681/5695993210384 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 600041/2386628 binary64)) (neg.f64 (.f64 x (.f64 x x))))))
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(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) #s(literal 216044283025868921/13594216883712345152 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -600041/4773256 binary64) #s(literal 360049201681/5695993210384 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal -600041/4773256 binary64) #s(literal 360049201681/5695993210384 binary64)) (fma.f64 (.f64 x x) #s(literal -600041/4773256 binary64) #s(literal 360049201681/5695993210384 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/64 binary64))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal -600041/4773256 binary64) #s(literal 360049201681/5695993210384 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal -600041/4773256 binary64) #s(literal 360049201681/5695993210384 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) #s(literal 216044283025868921/13594216883712345152 binary64)) (.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 600041/4773256 binary64)) #s(literal 360049201681/5695993210384 binary64)) (+.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64) #s(literal -360049201681/5695993210384 binary64)) (.f64 (.f64 x x) #s(literal 600041/4773256 binary64))))) (+.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64) #s(literal -360049201681/5695993210384 binary64)) (.f64 (.f64 x x) #s(literal 600041/4773256 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64) #s(literal -360049201681/5695993210384 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) #s(literal -216044283025868921/13594216883712345152 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (fma.f64 (*.f64 x x) #s(literal 600041/4773256 binary64) #s(literal 360049201681/5695993210384 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64) #s(literal -360049201681/5695993210384 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -600041/2386628 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) #s(literal 216044283025868921/13594216883712345152 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 600041/4773256 binary64)) #s(literal 360049201681/5695993210384 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 600041/4773256 binary64)) #s(literal 360049201681/5695993210384 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/512 binary64)) #s(literal 10083895477370833854804066968265007212421379187793961/2512248428773800085747637029861236943019113769450460151808 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/64 binary64)) #s(literal 46675132228161753979526487073704241/184802732681409784673190638047577903104 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 216044283025868921/108753735069698761216 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 600041/4773256 binary64)) #s(literal 360049201681/5695993210384 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/64 binary64)) #s(literal -46675132228161753979526487073704241/184802732681409784673190638047577903104 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) #s(literal -216044283025868921/13594216883712345152 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -600041/2386628 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/64 binary64)) #s(literal -46675132228161753979526487073704241/184802732681409784673190638047577903104 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 360049201681/22783972841536 binary64) #s(literal 129635427631125413225761/32444338652740626885427456 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -600041/2386628 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -129635427631125413225761/32444338652740626885427456 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) #s(literal 360049201681/5695993210384 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/8 binary64) #s(literal -216044283025868921/13594216883712345152 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 600041/4773256 binary64)) #s(literal 360049201681/5695993210384 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64) #s(literal -360049201681/5695993210384 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 600041/2386628 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 360049201681/5695993210384 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 600041/2386628 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal -3 binary64))))
(exp.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (log.f64 x) (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (.f64 x x))))
(neg.f64 (neg.f64 (.f64 x (.f64 x x))))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))
(/.f64 (neg.f64 (.f64 x (.f64 x x))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(.f64 x (.f64 x x))
(.f64 x (neg.f64 (neg.f64 (.f64 x x))))
(.f64 x (/.f64 (.f64 x x) #s(literal 1 binary64)))
(.f64 (.f64 x x) x)
(.f64 (.f64 x x) (neg.f64 (neg.f64 x)))
(.f64 (.f64 x x) (/.f64 x #s(literal 1 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (*.f64 x x))))
(.f64 (neg.f64 x) (neg.f64 (.f64 x x)))
(.f64 (neg.f64 (.f64 x x)) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(.f64 (neg.f64 (neg.f64 x)) (.f64 x x))
(.f64 (neg.f64 (neg.f64 (.f64 x x))) x)
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))

simplify264.0ms (2.2%)

Memory

-28.0MiB live, 363.3MiB allocated

Algorithm

1×	egg-herbie

Rules

5 228×	`lower-fma.f64`
5 228×	`lower-fma.f32`
4 874×	`lower-*.f64`
4 874×	`lower-*.f32`
2 150×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	256
1	35	256
2	71	256
3	137	256
4	242	238
5	533	238
6	1162	238
7	2510	238
8	4976	238
9	5497	238
10	6167	238
11	7081	238
12	7512	238
13	7823	238
0	8009	229

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(/ 600041/2386628 (pow x 3))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
600041/2386628
(+ 600041/2386628 (* 1/2 (pow x 2)))
(+ 600041/2386628 (* 1/2 (pow x 2)))
(+ 600041/2386628 (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

Outputs
(/ 600041/2386628 (pow x 3))
(/.f64 #s(literal 600041/2386628 binary64) (.f64 x (.f64 x x)))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
600041/2386628
#s(literal 600041/2386628 binary64)
(+ 600041/2386628 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 600041/2386628 binary64))
(+ 600041/2386628 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 600041/2386628 binary64))
(+ 600041/2386628 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 600041/2386628 binary64))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 600041/2386628 binary64))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 600041/2386628 binary64))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 600041/2386628 binary64))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 600041/2386628 binary64))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 600041/2386628 binary64))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 600041/2386628 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))

eval91.0ms (0.8%)

Memory: 38.0MiB live, 146.9MiB allocated
Compiler: Compiled 18 575 to 1 543 computations (91.7% saved)

prune93.0ms (0.8%)

Memory

-26.4MiB live, 175.0MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	595	0	595
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	595	7	602

Accuracy

100.0%

Counts

602 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.5%	(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) x)
✓	54.8%	(fma.f64 x (.f64 x (.f64 x #s(literal -833192009/1250000000 binary64))) x)
✓	17.9%	(/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 600041/2386628 binary64)) (.f64 x (*.f64 x x)))
✓	47.3%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
✓	47.5%	(/.f64 #s(literal 1/2 binary64) x)
✓	54.8%	(.f64 (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64)) x)
✓	55.6%	x

Compiler

Compiled 387 to 113 computations (70.8% saved)

regimes9.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)

Calls

2 calls:

4.0ms

(*.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)

3.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`x`
98.8%	2	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)

Compiler

Compiled 176 to 45 computations (74.4% saved)

regimes3.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
x
(*.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(.f64 (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64)) x)
(fma.f64 x (.f64 x (.f64 x #s(literal -833192009/1250000000 binary64))) x)

Outputs
(fma.f64 x (.f64 x (.f64 x #s(literal -833192009/1250000000 binary64))) x)
(/.f64 #s(literal 1/2 binary64) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Memory

-28.2MiB live, 6.4MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
x
(*.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(.f64 (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64)) x)

Outputs
(.f64 (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1/2 binary64) x)

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
x
(*.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)

Outputs
x
(/.f64 #s(literal 1/2 binary64) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.2%	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

2 → 1

Calls

Call 1

Inputs
x
(*.f64 #s(literal 1 binary64) x)

Outputs
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
55.6%	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)
55.6%	1	`x`

Compiler

Compiled 176 to 45 computations (74.4% saved)

bsearch63.0ms (0.5%)

Memory

-5.5MiB live, 111.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
52.0ms	0.0002100055121570376	20000.38020972167

Samples

45.0ms

144×

valid

Compiler

Compiled 411 to 201 computations (51.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

const: 17.0ms (41.5% of total)

ival-mult: 15.0ms (36.6% of total)

ival-add: 8.0ms (19.5% of total)

ival-div: 1.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch60.0ms (0.5%)

Memory

24.6MiB live, 96.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
54.0ms	0.0002100055121570376	20000.38020972167

Samples

46.0ms

144×

valid

Compiler

Compiled 357 to 165 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

const: 17.0ms (40.4% of total)

ival-mult: 15.0ms (35.7% of total)

ival-add: 9.0ms (21.4% of total)

ival-div: 1.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch69.0ms (0.6%)

Memory

1.1MiB live, 90.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
63.0ms	0.0002100055121570376	20000.38020972167

Samples

57.0ms

144×

valid

Compiler

Compiled 312 to 138 computations (55.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

const: 24.0ms (45.3% of total)

ival-mult: 21.0ms (39.6% of total)

ival-add: 6.0ms (11.3% of total)

ival-div: 1.0ms (1.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch61.0ms (0.5%)

Memory

-14.7MiB live, 96.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
55.0ms	0.0002100055121570376	20000.38020972167

Samples

49.0ms

144×

valid

Compiler

Compiled 312 to 147 computations (52.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 19.0ms (42.5% of total)

const: 18.0ms (40.3% of total)

ival-add: 7.0ms (15.7% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch61.0ms (0.5%)

Memory

-5.8MiB live, 112.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
52.0ms	0.0002100055121570376	20000.38020972167

Samples

46.0ms

144×

valid

Compiler

Compiled 249 to 102 computations (59% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 16.0ms (37.6% of total)

const: 16.0ms (37.6% of total)

ival-add: 9.0ms (21.2% of total)

ival-div: 1.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify6.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	85
1	42	85

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) x))
(if (<=.f64 x #s(literal 7926335344172073/9007199254740992 binary64)) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) x) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 x (.f64 x (.f64 x #s(literal -833192009/1250000000 binary64))) x) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 3602879701896397/4503599627370496 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 3152519739159347/4503599627370496 binary64)) x (/.f64 #s(literal 1/2 binary64) x))
x

Outputs
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) x))
(if (<=.f64 x #s(literal 7926335344172073/9007199254740992 binary64)) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64))) x) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 x (.f64 x (.f64 x #s(literal -833192009/1250000000 binary64))) x) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 3602879701896397/4503599627370496 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 3602879701896397/4503599627370496 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 3152519739159347/4503599627370496 binary64)) x (/.f64 #s(literal 1/2 binary64) x))
x

soundness614.0ms (5.1%)

Memory

-4.8MiB live, 433.2MiB allocated

Rules

12 062×	`lower-fma.f32`
12 054×	`lower-fma.f64`
8 900×	`lower-fma.f64`
8 900×	`lower-fma.f32`
6 048×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	69
0	32	67
1	117	64
2	788	64
0	8193	61
0	158	1024
1	440	1024
2	1071	1016
3	2793	1016
4	4923	1016
5	6596	1016
0	8655	980

Stop Event

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

Compiler

Compiled 170 to 87 computations (48.8% saved)

preprocess97.0ms (0.8%)

Memory: 23.7MiB live, 211.5MiB allocated
Compiler: Compiled 574 to 186 computations (67.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

sample3.5s (28.6%)

preprocess711.0ms (5.9%)

explain962.0ms (8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify675.0ms (5.6%)

localize175.0ms (1.4%)

series12.0ms (0.1%)

rewrite549.0ms (4.5%)

simplify302.0ms (2.5%)

eval148.0ms (1.2%)

prune79.0ms (0.7%)

simplify17.0ms (0.1%)

localize72.0ms (0.6%)

series9.0ms (0.1%)

rewrite452.0ms (3.7%)

simplify274.0ms (2.3%)

eval114.0ms (0.9%)

prune76.0ms (0.6%)

simplify882.0ms (7.3%)

localize226.0ms (1.9%)

series12.0ms (0.1%)

rewrite423.0ms (3.5%)

simplify283.0ms (2.3%)

eval173.0ms (1.4%)

prune130.0ms (1.1%)

simplify5.0ms (0%)

localize33.0ms (0.3%)

series2.0ms (0%)

rewrite329.0ms (2.7%)

simplify264.0ms (2.2%)

eval91.0ms (0.8%)

prune93.0ms (0.8%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes6.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0%)

bsearch63.0ms (0.5%)

bsearch60.0ms (0.5%)

bsearch69.0ms (0.6%)

bsearch61.0ms (0.5%)

bsearch61.0ms (0.5%)

simplify6.0ms (0.1%)

soundness614.0ms (5.1%)

preprocess97.0ms (0.8%)

end0.0ms (0%)

Profiling