Metrics for Numeric.Log:$clog1p from log-domain-0.10.2.1, B

analyze1.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
66.7%	50%	25%	0%	0%	25%	0%	3
83.3%	62.5%	12.5%	0%	0%	25%	0%	4
91.7%	68.7%	6.2%	0%	0%	25%	0%	5
95.8%	71.8%	3.1%	0%	0%	25%	0%	6
97.9%	73.4%	1.6%	0%	0%	25%	0%	7
99%	74.2%	0.8%	0%	0%	25%	0%	8
99.5%	74.6%	0.4%	0%	0%	25%	0%	9
99.7%	74.8%	0.2%	0%	0%	25%	0%	10
99.9%	74.9%	0.1%	0%	0%	25%	0%	11
99.9%	74.9%	0%	0%	0%	25%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample840.0ms (11.4%)

Memory

-17.0MiB live, 911.2MiB allocated

Samples

555.0ms	8 253×	0	valid
0.0ms	3×	2	valid
0.0ms	1×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 415.0ms

ival-add: 220.0ms (53% of total)

ival-sqrt: 103.0ms (24.8% of total)

ival-div: 79.0ms (19% of total)

ival-true: 6.0ms (1.4% of total)

exact: 4.0ms (1% of total)

ival-assert: 3.0ms (0.7% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess41.0ms (0.6%)

Memory

-7.5MiB live, 30.7MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`associate-l`
42×	`distribute-lft-neg-in`
42×	`times-frac`
38×	`unsub-neg`
36×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	23	17
2	51	16
3	110	16
4	221	16
5	333	16
6	361	16
7	377	16
8	390	16
0	6	8
0	10	8
1	14	8
0	14	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

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

explain76.0ms (1%)

Memory

9.3MiB live, 168.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))`
-	-	`(+.f64 x #s(literal 1 binary64))`
-	-	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
-	-	`#s(literal 1 binary64)`
-	-	`(sqrt.f64 (+.f64 x #s(literal 1 binary64)))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

27.0ms

512×

valid

Compiler

Compiled 68 to 28 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-add: 6.0ms (43.4% of total)

ival-div: 4.0ms (28.9% of total)

ival-sqrt: 4.0ms (28.9% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify4.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Rules

8×	`lower-+.f32`
4×	`lift-+.f64`
4×	`lower-+.f64`
4×	`+-commutative`
2×	`lift-sqrt.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
0	10	23
1	14	23
0	14	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
x
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(literal 1 binary64)
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))

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

localize24.0ms (0.3%)

Memory

-19.2MiB live, 53.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	accuracy	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Samples

17.0ms

256×

valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

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

ival-div: 4.0ms (36.6% of total)

ival-sqrt: 4.0ms (36.6% of total)

ival-add: 3.0ms (27.5% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))>
#<alt (sqrt.f64 (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))>
#<alt (+.f64 x #s(literal 1 binary64))>

Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))>
#<alt (sqrt x)>
#<alt (- (sqrt x) 1)>
#<alt (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)>
#<alt (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))>
#<alt (* -1 (sqrt x))>
#<alt (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))>
#<alt (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt 2>
#<alt (+ 2 (* 1/2 x))>
#<alt (+ 2 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (/ 1 x)))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ x (+ 1 (sqrt (+ x 1))))
1.0ms	x	@	inf	(/ x (+ 1 (sqrt (+ x 1))))
1.0ms	x	@	-inf	(sqrt (+ x 1))
0.0ms	x	@	inf	(sqrt (+ x 1))
0.0ms	x	@	0	(/ x (+ 1 (sqrt (+ x 1))))

rewrite320.0ms (4.3%)

Memory

-20.2MiB live, 509.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 950×	`lower-fma.f64`
3 950×	`lower-fma.f32`
3 308×	`lower-/.f32`
3 306×	`lower-/.f64`
2 908×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	21
0	10	21
1	46	21
2	315	20
3	3400	20
0	8278	20

Stop Event

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

Counts

4 → 474

Calls

Call 1

Inputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal 1 binary64))

Outputs
(+.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(+.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(+.f64 (/.f64 x (neg.f64 x)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (neg.f64 x))))
(+.f64 (.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(+.f64 (.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 x (neg.f64 x)) #s(literal 1 binary64)) (.f64 (/.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(+.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(fma.f64 x (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (neg.f64 x))))
(fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(fma.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(fma.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (neg.f64 x)) #s(literal 1 binary64) (*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (neg.f64 x))))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (+.f64 #s(literal 2 binary64) x) (.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (neg.f64 x))))
(fma.f64 (/.f64 x (fma.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) x)))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) x))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (/.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 x (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (neg.f64 x))
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(/.f64 (fabs.f64 (.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) (fabs.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 4 binary64))
(pow.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log1p.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(.f64 (+.f64 x #s(literal 1 binary64)) (fabs.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (fabs.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal 1 binary64)))))
(.f64 (fma.f64 (.f64 x x) (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (fabs.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x x)))) (exp.f64 (neg.f64 (log1p.f64 (-.f64 (.f64 x x) x)))))
(*.f64 (exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64)))) (exp.f64 (neg.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))))
(.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(.f64 (fabs.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (fabs.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))))
(*.f64 (fabs.f64 (fma.f64 x x #s(literal -1 binary64))) (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) (fabs.f64 (fma.f64 x x #s(literal -1 binary64))))
(.f64 (fabs.f64 (fma.f64 (.f64 x x) (neg.f64 x) #s(literal -1 binary64))) (fabs.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (fabs.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(.f64 (fabs.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
(.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (fabs.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64)))
(.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(.f64 (fabs.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (fabs.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))))
(.f64 (fabs.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)))) (fabs.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(.f64 (fabs.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (fabs.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (fabs.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))

simplify612.0ms (8.3%)

Memory

15.6MiB live, 572.6MiB allocated

Algorithm

1×	egg-herbie

Rules

18 662×	`lower-fma.f64`
18 662×	`lower-fma.f32`
3 776×	`lower-*.f64`
3 776×	`lower-*.f32`
2 642×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	600
1	485	505
2	1620	483
3	5414	474
0	8351	430

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
(sqrt x)
(- (sqrt x) 1)
(- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)
(- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))
(* -1 (sqrt x))
(+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
2
(+ 2 (* 1/2 x))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
(* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))

Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(sqrt x)
(sqrt.f64 x)
(- (sqrt x) 1)
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)
(+.f64 (sqrt.f64 x) (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))
(+.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(* -1 (sqrt x))
(neg.f64 (sqrt.f64 x))
(+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))
(-.f64 #s(literal -1 binary64) (sqrt.f64 x))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))
(-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -1/2 binary64) x) x))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))
(-.f64 (neg.f64 (sqrt.f64 x)) (+.f64 (/.f64 (/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) x) x) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(.f64 x (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f64 x (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 x (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(.f64 x (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
2
#s(literal 2 binary64)
(+ 2 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(-.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))

simplify116.0ms (1.6%)

Memory

-0.9MiB live, 80.3MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1069	8855
1	1070	8855
0	1070	8855

Stop Event

1×	saturated
1×	saturated

Counts

474 → 0

Calls

Call 1

Inputs
(+.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(+.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(+.f64 (/.f64 x (neg.f64 x)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (neg.f64 x))))
(+.f64 (.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(+.f64 (.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 x (neg.f64 x)) #s(literal 1 binary64)) (.f64 (/.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(+.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(fma.f64 x (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (neg.f64 x))))
(fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(fma.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(fma.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (neg.f64 x)) #s(literal 1 binary64) (*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (neg.f64 x))))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (+.f64 #s(literal 2 binary64) x) (.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (neg.f64 x))))
(fma.f64 (/.f64 x (fma.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) x)))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) x))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (/.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 x (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (neg.f64 x))
(/.f64 (.f64 x (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (neg.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (.f64 x (neg.f64 x)) (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (*.f64 (neg.f64 x) (+.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (+.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))) (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) (+.f64 (neg.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 x (neg.f64 x)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (.f64 (/.f64 x (neg.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (+.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) x) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) x) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (neg.f64 x))
(*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (.f64 x (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
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(.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (fabs.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))))
(*.f64 (fabs.f64 (fma.f64 x x #s(literal -1 binary64))) (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) (fabs.f64 (fma.f64 x x #s(literal -1 binary64))))
(.f64 (fabs.f64 (fma.f64 (.f64 x x) (neg.f64 x) #s(literal -1 binary64))) (fabs.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (fabs.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(.f64 (fabs.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
(.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (fabs.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64)))
(.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(.f64 (fabs.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (fabs.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))))
(.f64 (fabs.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)))) (fabs.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(.f64 (fabs.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (fabs.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (fabs.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))

Outputs
(+.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(+.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(+.f64 (/.f64 x (neg.f64 x)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (neg.f64 x))))
(+.f64 (.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(+.f64 (.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 x (neg.f64 x)) #s(literal 1 binary64)) (.f64 (/.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(+.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(fma.f64 x (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (neg.f64 x))))
(fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(fma.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(fma.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (neg.f64 x)) #s(literal 1 binary64) (*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (neg.f64 x))))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (+.f64 #s(literal 2 binary64) x) (.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (neg.f64 x))))
(fma.f64 (/.f64 x (fma.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) x)))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) x))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (/.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 x (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (neg.f64 x))
(/.f64 (.f64 x (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (neg.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (.f64 x (neg.f64 x)) (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (*.f64 (neg.f64 x) (+.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (+.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))) (fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) (+.f64 (neg.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 x (neg.f64 x)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (.f64 (/.f64 x (neg.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (+.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) x) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) x) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (neg.f64 x))
(*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (.f64 x (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
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(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
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(.f64 (fabs.f64 (fma.f64 (.f64 x x) (neg.f64 x) #s(literal -1 binary64))) (fabs.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (fabs.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(.f64 (fabs.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
(.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (fabs.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64)))
(.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(.f64 (fabs.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (fabs.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))))
(.f64 (fabs.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)))) (fabs.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(.f64 (fabs.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (fabs.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (fabs.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))

eval9.0ms (0.1%)

Memory: 14.3MiB live, 14.3MiB allocated
Compiler: Compiled 1 145 to 132 computations (88.5% saved)

prune13.0ms (0.2%)

Memory

-14.3MiB live, 23.2MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	84	8	92
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	9	93

Accuracy

100.0%

Counts

93 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.7%	(/.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
▶	70.2%	(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	37.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
	32.2%	(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
▶	69.5%	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
▶	68.2%	(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
▶	69.7%	(*.f64 #s(literal 1/2 binary64) x)
	32.9%	(sqrt.f64 x)

Compiler

Compiled 115 to 82 computations (28.7% saved)

simplify8.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Program
✓	cost-diff	(sqrt.f64 x)
✓	cost-diff	(+.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓	cost-diff	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
✓	cost-diff	(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
✓	cost-diff	(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
✓	cost-diff	(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
✓	cost-diff	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
✓	cost-diff	(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))

Rules

136×	`lower-fma.f32`
128×	`lower-fma.f64`
70×	`lower-*.f32`
64×	`lower-*.f64`
60×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	69
0	31	69
1	59	69
2	87	69
3	114	69
4	121	69
0	121	69

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
x
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
x
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
#s(literal -1/8 binary64)
#s(literal 1/2 binary64)
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
x
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
#s(literal 1/16 binary64)
#s(literal -1/8 binary64)
#s(literal 1/2 binary64)
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
x
(+.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)

Outputs
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
x
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
x
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
#s(literal -1/8 binary64)
#s(literal 1/2 binary64)
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
x
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
#s(literal 1/16 binary64)
#s(literal -1/8 binary64)
#s(literal 1/2 binary64)
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
x
(+.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)

localize93.0ms (1.3%)

Memory

4.8MiB live, 81.5MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓	accuracy	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
✓	accuracy	99.9%	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))

Samples

33.0ms	86×	0	invalid
21.0ms	170×	0	valid

Compiler

Compiled 80 to 22 computations (72.5% saved)

Precisions

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

ival-mult: 31.0ms (73.5% of total)

ival-add: 5.0ms (11.9% of total)

ival-div: 3.0ms (7.1% of total)

ival-sqrt: 2.0ms (4.7% of total)

exact: 1.0ms (2.4% of total)

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

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

series29.0ms (0.4%)

Memory

-32.7MiB live, 10.4MiB allocated

Counts

11 → 132

Calls

Call 1

Inputs
#<alt (/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))>
#<alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))>
#<alt (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))>
#<alt (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))>
#<alt (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))>
#<alt (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))>
#<alt (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))>
#<alt (+.f64 #s(literal 1 binary64) (sqrt.f64 x))>
#<alt (sqrt.f64 x)>

Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/32 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/32 (* -1/128 x))) 1/8))))>
#<alt 2>
#<alt (- 2 (* 8 (/ 1 x)))>
#<alt (- (+ 2 (/ 32 (pow x 2))) (* 8 (/ 1 x)))>
#<alt (- (+ 2 (/ 32 (pow x 2))) (+ (* 8 (/ 1 x)) (* 128 (/ 1 (pow x 3)))))>
#<alt 2>
#<alt (- 2 (* 8 (/ 1 x)))>
#<alt (+ 2 (* -1 (/ (- 8 (* 32 (/ 1 x))) x)))>
#<alt (+ 2 (* -1 (/ (+ 8 (* -1 (/ (- 32 (* 128 (/ 1 x))) x))) x)))>
#<alt 2>
#<alt (+ 2 (* 1/2 x))>
#<alt (+ 2 (* 1/2 x))>
#<alt (+ 2 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 2 (/ 1 x))))>
#<alt (* x (+ 1/2 (* 2 (/ 1 x))))>
#<alt (* x (+ 1/2 (* 2 (/ 1 x))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 2 (/ 1 x))))>
#<alt (* x (+ 1/2 (* 2 (/ 1 x))))>
#<alt (* x (+ 1/2 (* 2 (/ 1 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 (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/8 x))>
#<alt (+ 1/2 (* -1/8 x))>
#<alt (+ 1/2 (* -1/8 x))>
#<alt (* -1/8 x)>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* -1/8 x)>
#<alt (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* 1/16 (pow x 3))>
#<alt (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))>
#<alt (* 1/16 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))>
#<alt -1/8>
#<alt (- (* 1/16 x) 1/8)>
#<alt (- (* 1/16 x) 1/8)>
#<alt (- (* 1/16 x) 1/8)>
#<alt (* 1/16 x)>
#<alt (* x (- 1/16 (* 1/8 (/ 1 x))))>
#<alt (* x (- 1/16 (* 1/8 (/ 1 x))))>
#<alt (* x (- 1/16 (* 1/8 (/ 1 x))))>
#<alt (* 1/16 x)>
#<alt (* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))>
#<alt (* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))>
#<alt (* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/8 x))>
#<alt (+ 1/2 (* x (- (* 1/16 x) 1/8)))>
#<alt (+ 1/2 (* x (- (* 1/16 x) 1/8)))>
#<alt (* 1/16 (pow x 2))>
#<alt (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))>
#<alt (* 1/16 (pow x 2))>
#<alt (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))>
#<alt (/ x (+ 1 (sqrt x)))>
#<alt (/ x (+ 1 (sqrt x)))>
#<alt (/ x (+ 1 (sqrt x)))>
#<alt (/ x (+ 1 (sqrt x)))>
#<alt (sqrt x)>
#<alt (- (sqrt x) 1)>
#<alt (- (+ (sqrt x) (sqrt (/ 1 x))) 1)>
#<alt (- (sqrt x) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* -1 (sqrt x))>
#<alt (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) x)))>
#<alt (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (* -1 (/ x (pow (sqrt -1) 4))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) x))) x)))>
#<alt (+ 1 (sqrt x))>
#<alt (+ 1 (sqrt x))>
#<alt (+ 1 (sqrt x))>
#<alt (+ 1 (sqrt x))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (/ 1 x)))>
#<alt (* x (+ (sqrt (/ 1 x)) (/ 1 x)))>
#<alt (* x (+ (sqrt (/ 1 x)) (/ 1 x)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>

Calls

33 calls:

Time	Variable		Point	Expression
21.0ms	x	@	0	(* x (+ (* x -1/8) 1/2))
1.0ms	x	@	inf	(* x (+ (* x (+ (* x 1/16) -1/8)) 1/2))
1.0ms	x	@	0	(/ x (+ 1 (sqrt x)))
1.0ms	x	@	inf	(/ x (+ (* 1/2 x) 2))
0.0ms	x	@	inf	(* x (+ (* x -1/8) 1/2))

rewrite389.0ms (5.3%)

Memory

22.4MiB live, 666.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 434×	`lower-fma.f32`
9 426×	`lower-fma.f64`
5 634×	`lower-*.f32`
5 628×	`lower-*.f64`
4 268×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	55
0	31	55
1	138	55
2	924	55
0	8323	55

Stop Event

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

Counts

11 → 676

Calls

Call 1

Inputs
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(+.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 x)

Outputs
(+.f64 (.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (-.f64 #s(literal 4 binary64) x)))
(+.f64 (.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (-.f64 #s(literal 4 binary64) x)) (.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 x x))))
(+.f64 (.f64 (/.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64))) (.f64 x #s(literal 1/2 binary64))) (.f64 (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64))) #s(literal -2 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (.f64 (-.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)))))
(+.f64 (.f64 (-.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)))))
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(.f64 (.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (neg.f64 x) (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x)))))
(*.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 x (neg.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x)))))
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(+.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(-.f64 (/.f64 x (+.f64 (sqrt.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x)))) (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 x))) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(/.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))
(/.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x)))))
(/.f64 (neg.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64))) (neg.f64 (+.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 (+.f64 #s(literal -1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (*.f64 x (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) x)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (+.f64 x #s(literal -1 binary64))) (neg.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 x (sqrt.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))) (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (+.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x)))))
(*.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (neg.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))))
(*.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x)))) (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(.f64 (/.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 x (sqrt.f64 x)) (.f64 (-.f64 x (sqrt.f64 x)) (-.f64 x (sqrt.f64 x)))))) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 x (sqrt.f64 x)) (-.f64 (-.f64 x (sqrt.f64 x)) #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 x (sqrt.f64 x)) (-.f64 x (sqrt.f64 x))))) (-.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x)))) (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 x))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(fabs.f64 (sqrt.f64 x))
(sqrt.f64 x)
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))

simplify558.0ms (7.6%)

Memory

-2.9MiB live, 753.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16 494×	`lower-fma.f64`
16 494×	`lower-fma.f32`
3 594×	`lower-*.f64`
3 594×	`lower-*.f32`
2 742×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	795
1	421	752
2	1091	734
3	2975	728
0	8326	650

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/32 x) 1/8))))
(* x (+ 1/2 (* x (- (* x (+ 1/32 (* -1/128 x))) 1/8))))
2
(- 2 (* 8 (/ 1 x)))
(- (+ 2 (/ 32 (pow x 2))) (* 8 (/ 1 x)))
(- (+ 2 (/ 32 (pow x 2))) (+ (* 8 (/ 1 x)) (* 128 (/ 1 (pow x 3)))))
2
(- 2 (* 8 (/ 1 x)))
(+ 2 (* -1 (/ (- 8 (* 32 (/ 1 x))) x)))
(+ 2 (* -1 (/ (+ 8 (* -1 (/ (- 32 (* 128 (/ 1 x))) x))) x)))
2
(+ 2 (* 1/2 x))
(+ 2 (* 1/2 x))
(+ 2 (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (* 2 (/ 1 x))))
(* x (+ 1/2 (* 2 (/ 1 x))))
(* x (+ 1/2 (* 2 (/ 1 x))))
(* 1/2 x)
(* x (+ 1/2 (* 2 (/ 1 x))))
(* x (+ 1/2 (* 2 (/ 1 x))))
(* x (+ 1/2 (* 2 (/ 1 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)
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* -1/8 x)))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
1/2
(+ 1/2 (* -1/8 x))
(+ 1/2 (* -1/8 x))
(+ 1/2 (* -1/8 x))
(* -1/8 x)
(* x (- (* 1/2 (/ 1 x)) 1/8))
(* x (- (* 1/2 (/ 1 x)) 1/8))
(* x (- (* 1/2 (/ 1 x)) 1/8))
(* -1/8 x)
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* 1/16 (pow x 3))
(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(* 1/16 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))
-1/8
(- (* 1/16 x) 1/8)
(- (* 1/16 x) 1/8)
(- (* 1/16 x) 1/8)
(* 1/16 x)
(* x (- 1/16 (* 1/8 (/ 1 x))))
(* x (- 1/16 (* 1/8 (/ 1 x))))
(* x (- 1/16 (* 1/8 (/ 1 x))))
(* 1/16 x)
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))
1/2
(+ 1/2 (* -1/8 x))
(+ 1/2 (* x (- (* 1/16 x) 1/8)))
(+ 1/2 (* x (- (* 1/16 x) 1/8)))
(* 1/16 (pow x 2))
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))
(* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(* 1/16 (pow x 2))
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))
(* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))
(* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))
(/ x (+ 1 (sqrt x)))
(/ x (+ 1 (sqrt x)))
(/ x (+ 1 (sqrt x)))
(/ x (+ 1 (sqrt x)))
(sqrt x)
(- (sqrt x) 1)
(- (+ (sqrt x) (sqrt (/ 1 x))) 1)
(- (sqrt x) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (/ 1 x))))
(* -1 (sqrt x))
(+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) x)))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (* -1 (/ x (pow (sqrt -1) 4))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) x))) x)))
(+ 1 (sqrt x))
(+ 1 (sqrt x))
(+ 1 (sqrt x))
(+ 1 (sqrt x))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (- (* 1/32 x) 1/8))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (- (* x (+ 1/32 (* -1/128 x))) 1/8))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/128 binary64) #s(literal 1/32 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
2
#s(literal 2 binary64)
(- 2 (* 8 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) x))
(- (+ 2 (/ 32 (pow x 2))) (* 8 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 32 binary64) x) #s(literal -8 binary64)) x))
(- (+ 2 (/ 32 (pow x 2))) (+ (* 8 (/ 1 x)) (* 128 (/ 1 (pow x 3)))))
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 128 binary64) x) #s(literal -32 binary64)) x)) x))
2
#s(literal 2 binary64)
(- 2 (* 8 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) x))
(+ 2 (* -1 (/ (- 8 (* 32 (/ 1 x))) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 32 binary64) x) #s(literal -8 binary64)) x))
(+ 2 (* -1 (/ (+ 8 (* -1 (/ (- 32 (* 128 (/ 1 x))) x))) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 128 binary64) x) #s(literal -32 binary64)) x)) x))
2
#s(literal 2 binary64)
(+ 2 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(+ 2 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(+ 2 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(* 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)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* -1/8 x)))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* -1/8 x)))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/8 x))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/8 x))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/8 x))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/8))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/8))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/8))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(* 1/16 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/16 binary64))
(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))))
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(* 1/16 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/16 binary64))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
-1/8
#s(literal -1/8 binary64)
(- (* 1/16 x) 1/8)
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(- (* 1/16 x) 1/8)
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(- (* 1/16 x) 1/8)
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(* 1/16 x)
(*.f64 x #s(literal 1/16 binary64))
(* x (- 1/16 (* 1/8 (/ 1 x))))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(* x (- 1/16 (* 1/8 (/ 1 x))))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(* x (- 1/16 (* 1/8 (/ 1 x))))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(* 1/16 x)
(*.f64 x #s(literal 1/16 binary64))
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/8 x))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/16 x) 1/8)))
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/16 x) 1/8)))
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(* 1/16 (pow x 2))
(.f64 x (.f64 x #s(literal 1/16 binary64)))
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))
(* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(* 1/16 (pow x 2))
(.f64 x (.f64 x #s(literal 1/16 binary64)))
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))
(* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(/ x (+ 1 (sqrt x)))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/ x (+ 1 (sqrt x)))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/ x (+ 1 (sqrt x)))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/ x (+ 1 (sqrt x)))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(sqrt x)
(sqrt.f64 x)
(- (sqrt x) 1)
(+.f64 #s(literal -1 binary64) (sqrt.f64 x))
(- (+ (sqrt x) (sqrt (/ 1 x))) 1)
(+.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(- (sqrt x) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (/ 1 x))))
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))
(* -1 (sqrt x))
(neg.f64 (sqrt.f64 x))
(+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))
(-.f64 #s(literal -1 binary64) (sqrt.f64 x))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) x)))
(-.f64 (/.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (* -1 (/ x (pow (sqrt -1) 4))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) x))) x)))
(+.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 (sqrt.f64 (.f64 x (.f64 x x))) x)) x))
(+ 1 (sqrt x))
(+.f64 #s(literal 1 binary64) (sqrt.f64 x))
(+ 1 (sqrt x))
(+.f64 #s(literal 1 binary64) (sqrt.f64 x))
(+ 1 (sqrt x))
(+.f64 #s(literal 1 binary64) (sqrt.f64 x))
(+ 1 (sqrt x))
(+.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

simplify163.0ms (2.2%)

Memory

-14.5MiB live, 269.6MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1532	15180
1	1533	15180
0	1533	15180

Stop Event

1×	saturated
1×	saturated

Counts

676 → 0

Calls

Call 1

Inputs
(+.f64 (.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (-.f64 #s(literal 4 binary64) x)))
(+.f64 (.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (-.f64 #s(literal 4 binary64) x)) (.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 x x))))
(+.f64 (.f64 (/.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64))) (.f64 x #s(literal 1/2 binary64))) (.f64 (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64))) #s(literal -2 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (.f64 (-.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)))))
(+.f64 (.f64 (-.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)))))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64)))) (.f64 #s(literal -2 binary64) (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))) (/.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64)))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 (-.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)) #s(literal 8 binary64)))))
(fma.f64 (-.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)) #s(literal 8 binary64)))))
(fma.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)) #s(literal 8 binary64))) (-.f64 #s(literal 4 binary64) x)))
(fma.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (-.f64 #s(literal 4 binary64) x) (.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(fma.f64 (/.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64))) (.f64 x #s(literal 1/2 binary64)) (.f64 (/.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64))) #s(literal -2 binary64)))
(neg.f64 (/.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) x)))
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) x))
(/.f64 (neg.f64 x) (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) x))
(/.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)) x)))
(/.f64 (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -2 binary64))))
(/.f64 (.f64 x (-.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)) x)) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)))
(/.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -2 binary64))) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal 4 binary64) x) (.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 #s(literal 4 binary64) x))))) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 (-.f64 #s(literal 4 binary64) x) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))))
(/.f64 (.f64 x (.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)) x) (+.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64)) x))) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)) (+.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64)) x)))
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(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x)))) (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 x))) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(/.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))
(/.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x)))))
(/.f64 (neg.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64))) (neg.f64 (+.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 (+.f64 #s(literal -1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (*.f64 x (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) x)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (+.f64 x #s(literal -1 binary64))) (neg.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 x (sqrt.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))) (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (+.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x)))))
(*.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (neg.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))))
(*.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x)))) (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(.f64 (/.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 x (sqrt.f64 x)) (.f64 (-.f64 x (sqrt.f64 x)) (-.f64 x (sqrt.f64 x)))))) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 x (sqrt.f64 x)) (-.f64 (-.f64 x (sqrt.f64 x)) #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 x (sqrt.f64 x)) (-.f64 x (sqrt.f64 x))))) (-.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x)))) (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 x))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(fabs.f64 (sqrt.f64 x))
(sqrt.f64 x)
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))

Outputs
(+.f64 (.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (-.f64 #s(literal 4 binary64) x)))
(+.f64 (.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (-.f64 #s(literal 4 binary64) x)) (.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 x x))))
(+.f64 (.f64 (/.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64))) (.f64 x #s(literal 1/2 binary64))) (.f64 (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64))) #s(literal -2 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (.f64 (-.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)))))
(+.f64 (.f64 (-.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)))))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64)))) (.f64 #s(literal -2 binary64) (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))) (/.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64)))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 (-.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)) #s(literal 8 binary64)))))
(fma.f64 (-.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)) #s(literal 8 binary64)))))
(fma.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)) #s(literal 8 binary64))) (-.f64 #s(literal 4 binary64) x)))
(fma.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (-.f64 #s(literal 4 binary64) x) (.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(fma.f64 (/.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64))) (.f64 x #s(literal 1/2 binary64)) (.f64 (/.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64))) #s(literal -2 binary64)))
(neg.f64 (/.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) x)))
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) x))
(/.f64 (neg.f64 x) (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) x))
(/.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)) x)))
(/.f64 (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -2 binary64))))
(/.f64 (.f64 x (-.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)) x)) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)))
(/.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -2 binary64))) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal 4 binary64) x) (.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 #s(literal 4 binary64) x))))) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 (-.f64 #s(literal 4 binary64) x) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))))
(/.f64 (.f64 x (.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)) x) (+.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64)) x))) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)) (+.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64)) x)))
(/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))
(/.f64 (.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal -8 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64)) (+.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))
(/.f64 (.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal 4 binary64) x) (.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 #s(literal 4 binary64) x))))) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 (-.f64 #s(literal 4 binary64) x) (.f64 #s(literal 1/4 binary64) (.f64 x x))))))
(/.f64 (.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)) x) (+.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64)) x))) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64)) x))
(/.f64 (.f64 (/.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal -8 binary64))) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)) x))
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(/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(/.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))
(/.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x)))))
(/.f64 (neg.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64))) (neg.f64 (+.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 (+.f64 #s(literal -1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (*.f64 x (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) x)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (+.f64 x #s(literal -1 binary64))) (neg.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 x (sqrt.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))) (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (+.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x)))))
(*.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (neg.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))))
(*.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x)))) (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(.f64 (/.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 x (sqrt.f64 x)) (.f64 (-.f64 x (sqrt.f64 x)) (-.f64 x (sqrt.f64 x)))))) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 x (sqrt.f64 x)) (-.f64 (-.f64 x (sqrt.f64 x)) #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 x (sqrt.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 x (sqrt.f64 x)) (-.f64 x (sqrt.f64 x))))) (-.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x)))) (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 x))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(fabs.f64 (sqrt.f64 x))
(sqrt.f64 x)
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))

eval23.0ms (0.3%)

Memory: 23.2MiB live, 61.5MiB allocated
Compiler: Compiled 1 721 to 83 computations (95.2% saved)

prune11.0ms (0.1%)

Memory

-21.9MiB live, 19.3MiB allocated

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	262	2	264
Fresh	0	3	3
Picked	0	5	5
Done	0	1	1
Total	262	11	273

Accuracy

100.0%

Counts

273 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.7%	(/.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓	70.2%	(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	37.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
▶	32.2%	(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
✓	69.5%	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
▶	69.5%	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
✓	68.2%	(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
✓	69.7%	(*.f64 #s(literal 1/2 binary64) x)
▶	32.9%	(sqrt.f64 x)
▶	4.8%	#s(literal 2 binary64)

Compiler

Compiled 104 to 75 computations (27.9% saved)

simplify9.0ms (0.1%)

Memory

23.0MiB live, 22.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
✓	cost-diff	(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓	cost-diff	(/.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓	cost-diff	(sqrt.f64 x)
✓	cost-diff	(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
✓	cost-diff	(sqrt.f64 x)
✓	cost-diff	(fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))
✓	cost-diff	(fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))

Rules

160×	`lower-fma.f32`
152×	`lower-fma.f64`
76×	`lower-+.f32`
74×	`lower-+.f64`
70×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	60
0	26	60
1	51	60
2	93	60
3	126	60
4	133	60
0	133	60

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
x
(fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))
#s(literal 1/32 binary64)
#s(literal -1/8 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(sqrt.f64 x)
x
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(sqrt.f64 x)
x
#s(literal -1 binary64)
(/.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
x
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
#s(literal -1/8 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)

Outputs
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
x
(fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))
#s(literal 1/32 binary64)
#s(literal -1/8 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(sqrt.f64 x)
x
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(sqrt.f64 x)
x
#s(literal -1 binary64)
(/.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
x
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
#s(literal -1/8 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)

localize76.0ms (1%)

Memory

5.6MiB live, 121.5MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓	accuracy	84.6%	(/.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))

Samples

38.0ms	86×	0	invalid
20.0ms	170×	0	valid

Compiler

Compiled 72 to 20 computations (72.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-add: 34.0ms (72% of total)

ival-mult: 8.0ms (16.9% of total)

ival-div: 3.0ms (6.3% of total)

ival-sqrt: 2.0ms (4.2% of total)

exact: 1.0ms (2.1% of total)

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

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

series36.0ms (0.5%)

Memory

-33.2MiB live, 9.9MiB allocated

Counts

8 → 96

Calls

Call 1

Inputs
#<alt (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))>
#<alt (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))>
#<alt (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))>
#<alt (sqrt.f64 x)>
#<alt (+.f64 (sqrt.f64 x) #s(literal -1 binary64))>
#<alt (/.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))>
#<alt (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))>
#<alt (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))>

Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/32 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* 1/32 x) 1/8))))>
#<alt (* 1/32 (pow x 3))>
#<alt (* (pow x 3) (- 1/32 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/32 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/32 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))>
#<alt (* 1/32 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/32)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/32)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/32)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/8 x))>
#<alt (+ 1/2 (* x (- (* 1/32 x) 1/8)))>
#<alt (+ 1/2 (* x (- (* 1/32 x) 1/8)))>
#<alt (* 1/32 (pow x 2))>
#<alt (* (pow x 2) (- 1/32 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/32 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/32 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))>
#<alt (* 1/32 (pow x 2))>
#<alt (* (pow x 2) (- 1/32 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/32 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1/32 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))>
#<alt -1/8>
#<alt (- (* 1/32 x) 1/8)>
#<alt (- (* 1/32 x) 1/8)>
#<alt (- (* 1/32 x) 1/8)>
#<alt (* 1/32 x)>
#<alt (* x (- 1/32 (* 1/8 (/ 1 x))))>
#<alt (* x (- 1/32 (* 1/8 (/ 1 x))))>
#<alt (* x (- 1/32 (* 1/8 (/ 1 x))))>
#<alt (* 1/32 x)>
#<alt (* -1 (* x (- (* 1/8 (/ 1 x)) 1/32)))>
#<alt (* -1 (* x (- (* 1/8 (/ 1 x)) 1/32)))>
#<alt (* -1 (* x (- (* 1/8 (/ 1 x)) 1/32)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (- (sqrt x) 1)>
#<alt (- (sqrt x) 1)>
#<alt (- (sqrt x) 1)>
#<alt (- (sqrt x) 1)>
#<alt (sqrt x)>
#<alt (* x (- (sqrt (/ 1 x)) (/ 1 x)))>
#<alt (* x (- (sqrt (/ 1 x)) (/ 1 x)))>
#<alt (* x (- (sqrt (/ 1 x)) (/ 1 x)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))>
#<alt (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))>
#<alt (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -3/128 x))) 1/8))))>
#<alt (/ -8 x)>
#<alt (* -1 (/ (+ 8 (* 32 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 32 (* 256 (/ 1 x))) x)) 8) x)>
#<alt (/ (- (* -1 (/ (+ 256 (* 1536 (/ 1 x))) (pow x 2))) (+ 8 (* 32 (/ 1 x)))) x)>
#<alt (/ -8 x)>
#<alt (* -1 (/ (+ 8 (* 32 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 8 (+ (* 32 (/ 1 x)) (/ 256 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 8 (* -1 (/ (- (* -1 (/ (+ 256 (* 1536 (/ 1 x))) x)) 32) x))) x))>
#<alt 2>
#<alt (+ 2 (* 1/2 x))>
#<alt (+ 2 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 2 (* x (+ 1/2 (* -1/8 x))))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/8 x))>
#<alt (+ 1/2 (* -1/8 x))>
#<alt (+ 1/2 (* -1/8 x))>
#<alt (* -1/8 x)>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* -1/8 x)>
#<alt (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))>

Calls

24 calls:

Time	Variable		Point	Expression
33.0ms	x	@	0	(* x (+ (* x (+ (* x 1/32) -1/8)) 1/2))
1.0ms	x	@	inf	(* x (+ (* x (+ (* x 1/32) -1/8)) 1/2))
0.0ms	x	@	-inf	(* x (+ (* x (+ (* x 1/32) -1/8)) 1/2))
0.0ms	x	@	inf	(/ x (+ (* x (+ (* x -1/8) 1/2)) 2))
0.0ms	x	@	-inf	(/ x (+ (* x (+ (* x -1/8) 1/2)) 2))

rewrite486.0ms (6.6%)

Memory

9.8MiB live, 564.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 598×	`lower-fma.f32`
8 590×	`lower-fma.f64`
5 992×	`lower-*.f32`
5 990×	`lower-*.f64`
4 262×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	46
0	26	46
1	125	46
2	906	46
0	8563	46

Stop Event

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

Counts

8 → 464

Calls

Call 1

Inputs
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))

Outputs
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))))
(+.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 x (.f64 #s(literal 1/32 binary64) (.f64 x x))) (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/32 binary64) (.f64 x x)))) (.f64 x (*.f64 x #s(literal -1/8 binary64))))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/32 binary64) (.f64 x x))) x) (.f64 x (*.f64 x #s(literal -1/8 binary64))))
(+.f64 (fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 #s(literal 1/32 binary64) (.f64 x x)))) (.f64 x (*.f64 x #s(literal -1/8 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))))) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))))
(fma.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 x (.f64 #s(literal 1/32 binary64) (.f64 x x)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/32 binary64) (.f64 x x))) (.f64 x (.f64 x #s(literal -1/8 binary64))))
(fma.f64 #s(literal 1/32 binary64) (.f64 x (.f64 x x)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) (.f64 x x) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 #s(literal 1/32 binary64) (.f64 x x))) (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))) x (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x #s(literal 1/32 binary64)) (.f64 x x) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/32768 binary64) #s(literal -1/512 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (fma.f64 x #s(literal 1/256 binary64) (.f64 x (.f64 x #s(literal 1/1024 binary64)))))) (.f64 x x)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/1024 binary64) #s(literal -1/64 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/32 binary64) #s(literal -1/8 binary64))) (.f64 x x)) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/32 binary64) (.f64 x x)) x (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/32 binary64) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/32 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/32 binary64) (.f64 x x))) x (.f64 x (.f64 x #s(literal -1/8 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))))
(fma.f64 (.f64 (.f64 #s(literal 1/32 binary64) (.f64 x x)) (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/32768 binary64) #s(literal -1/512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (fma.f64 x #s(literal 1/256 binary64) (.f64 x (.f64 x #s(literal 1/1024 binary64)))))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/1024 binary64) #s(literal -1/64 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/32 binary64) #s(literal -1/8 binary64))) (.f64 x #s(literal 1/2 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))) (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))))) (.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))))))) (fma.f64 (.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))))) (.f64 x (.f64 x x)) (.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) #s(literal 1/4 binary64)) (.f64 x (.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))) (.f64 x (fma.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) (.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) (*.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) (.f64 x (fma.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) #s(literal 1/4 binary64)) (.f64 x (.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))) (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) (.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) (*.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) #s(literal 1/8 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) #s(literal -1/4 binary64)) x)))
(/.f64 (fma.f64 (.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))))) (.f64 x (.f64 x x)) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (fma.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))) (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))))) (.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))))))))
(/.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) (.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) #s(literal 1/8 binary64))) (-.f64 (fma.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) #s(literal 1/4 binary64)) (.f64 x (*.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) (.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (.f64 x (fma.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) #s(literal -1/4 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) (.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) #s(literal 1/8 binary64)) x) (-.f64 (fma.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) #s(literal 1/4 binary64)) (.f64 x (*.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) (.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) #s(literal 1/8 binary64)) x) (+.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (.f64 (fma.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) #s(literal -1/4 binary64)) x) (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))))) (.f64 x (.f64 x x)) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))) (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))))) (.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))))))))
(/.f64 (neg.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))))) (neg.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) (.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 (fma.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) #s(literal 1/4 binary64)) (.f64 x (*.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) #s(literal -1/4 binary64)))) (fma.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) (neg.f64 x) #s(literal 1/2 binary64)))
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(.f64 (fma.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(.f64 (fma.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))))
(.f64 (neg.f64 (fma.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) #s(literal -2 binary64))))))
(.f64 (neg.f64 (fma.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (neg.f64 x) #s(literal 2 binary64))))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))
(+.f64 (*.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1/2 binary64))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/16 binary64) (.f64 #s(literal 1/64 binary64) (.f64 x x)))))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/16 binary64) (.f64 #s(literal 1/64 binary64) (.f64 x x))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/16 binary64) (.f64 #s(literal 1/64 binary64) (.f64 x x)))))
(/.f64 (fma.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/64 binary64)) #s(literal -1/16 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/64 binary64)) #s(literal -1/16 binary64)))) (fma.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/16 binary64) (.f64 #s(literal 1/64 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/64 binary64)) #s(literal -1/16 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/16 binary64) (.f64 #s(literal 1/64 binary64) (*.f64 x x)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 x x) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/4096 binary64)))) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/16 binary64) (.f64 #s(literal 1/64 binary64) (*.f64 x x))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/16 binary64) (.f64 #s(literal 1/64 binary64) (*.f64 x x))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/4096 binary64) (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) #s(literal 1/256 binary64)))) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/4096 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/16 binary64) (.f64 #s(literal 1/64 binary64) (.f64 x x)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (*.f64 x x)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))) (+.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/16 binary64) (.f64 #s(literal 1/64 binary64) (.f64 x x)))))) (fma.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/4096 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/16 binary64) (.f64 #s(literal 1/64 binary64) (.f64 x x)))))) (fma.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x)) #s(literal -1/8 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/4096 binary64) (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/16 binary64) (.f64 (*.f64 x x) #s(literal 1/256 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/4096 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/64 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/16 binary64) (.f64 #s(literal 1/64 binary64) (*.f64 x x))))))
(.f64 (fma.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 1/64 binary64)) #s(literal -1/16 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 x x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))
(.f64 (neg.f64 (fma.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/16 binary64) (.f64 #s(literal 1/64 binary64) (*.f64 x x)))))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 x x) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))))

simplify335.0ms (4.5%)

Memory

1.2MiB live, 313.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 282×	`lower-fma.f64`
10 282×	`lower-fma.f32`
3 114×	`lower-*.f64`
3 114×	`lower-*.f32`
1 776×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	626
1	339	622
2	890	592
3	2253	592
4	5268	584
0	8491	513

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/32 x) 1/8))))
(* x (+ 1/2 (* x (- (* 1/32 x) 1/8))))
(* 1/32 (pow x 3))
(* (pow x 3) (- 1/32 (* 1/8 (/ 1 x))))
(* (pow x 3) (- (+ 1/32 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(* (pow x 3) (- (+ 1/32 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(* 1/32 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/32)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/32)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/32)))
1/2
(+ 1/2 (* -1/8 x))
(+ 1/2 (* x (- (* 1/32 x) 1/8)))
(+ 1/2 (* x (- (* 1/32 x) 1/8)))
(* 1/32 (pow x 2))
(* (pow x 2) (- 1/32 (* 1/8 (/ 1 x))))
(* (pow x 2) (- (+ 1/32 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(* (pow x 2) (- (+ 1/32 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(* 1/32 (pow x 2))
(* (pow x 2) (- 1/32 (* 1/8 (/ 1 x))))
(* (pow x 2) (+ 1/32 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))
(* (pow x 2) (+ 1/32 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))
-1/8
(- (* 1/32 x) 1/8)
(- (* 1/32 x) 1/8)
(- (* 1/32 x) 1/8)
(* 1/32 x)
(* x (- 1/32 (* 1/8 (/ 1 x))))
(* x (- 1/32 (* 1/8 (/ 1 x))))
(* x (- 1/32 (* 1/8 (/ 1 x))))
(* 1/32 x)
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/32)))
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/32)))
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/32)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- (sqrt x) 1)
(- (sqrt x) 1)
(- (sqrt x) 1)
(- (sqrt x) 1)
(sqrt x)
(* x (- (sqrt (/ 1 x)) (/ 1 x)))
(* x (- (sqrt (/ 1 x)) (/ 1 x)))
(* x (- (sqrt (/ 1 x)) (/ 1 x)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -3/128 x))) 1/8))))
(/ -8 x)
(* -1 (/ (+ 8 (* 32 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 32 (* 256 (/ 1 x))) x)) 8) x)
(/ (- (* -1 (/ (+ 256 (* 1536 (/ 1 x))) (pow x 2))) (+ 8 (* 32 (/ 1 x)))) x)
(/ -8 x)
(* -1 (/ (+ 8 (* 32 (/ 1 x))) x))
(* -1 (/ (+ 8 (+ (* 32 (/ 1 x)) (/ 256 (pow x 2)))) x))
(* -1 (/ (+ 8 (* -1 (/ (- (* -1 (/ (+ 256 (* 1536 (/ 1 x))) x)) 32) x))) x))
2
(+ 2 (* 1/2 x))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))
1/2
(+ 1/2 (* -1/8 x))
(+ 1/2 (* -1/8 x))
(+ 1/2 (* -1/8 x))
(* -1/8 x)
(* x (- (* 1/2 (/ 1 x)) 1/8))
(* x (- (* 1/2 (/ 1 x)) 1/8))
(* x (- (* 1/2 (/ 1 x)) 1/8))
(* -1/8 x)
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))

Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (- (* 1/32 x) 1/8))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (- (* 1/32 x) 1/8))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(* 1/32 (pow x 3))
(.f64 x (.f64 #s(literal 1/32 binary64) (*.f64 x x)))
(* (pow x 3) (- 1/32 (* 1/8 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))
(* (pow x 3) (- (+ 1/32 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (- (+ 1/32 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(* 1/32 (pow x 3))
(.f64 x (.f64 #s(literal 1/32 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/32)))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/32)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/32)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/8 x))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/32 x) 1/8)))
(fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/32 x) 1/8)))
(fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(* 1/32 (pow x 2))
(.f64 #s(literal 1/32 binary64) (.f64 x x))
(* (pow x 2) (- 1/32 (* 1/8 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))
(* (pow x 2) (- (+ 1/32 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (- (+ 1/32 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(* 1/32 (pow x 2))
(.f64 #s(literal 1/32 binary64) (.f64 x x))
(* (pow x 2) (- 1/32 (* 1/8 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))
(* (pow x 2) (+ 1/32 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/32 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
-1/8
#s(literal -1/8 binary64)
(- (* 1/32 x) 1/8)
(fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))
(- (* 1/32 x) 1/8)
(fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))
(- (* 1/32 x) 1/8)
(fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))
(* 1/32 x)
(*.f64 x #s(literal 1/32 binary64))
(* x (- 1/32 (* 1/8 (/ 1 x))))
(fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))
(* x (- 1/32 (* 1/8 (/ 1 x))))
(fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))
(* x (- 1/32 (* 1/8 (/ 1 x))))
(fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))
(* 1/32 x)
(*.f64 x #s(literal 1/32 binary64))
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/32)))
(fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/32)))
(fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/32)))
(fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(- (sqrt x) 1)
(+.f64 #s(literal -1 binary64) (sqrt.f64 x))
(- (sqrt x) 1)
(+.f64 #s(literal -1 binary64) (sqrt.f64 x))
(- (sqrt x) 1)
(+.f64 #s(literal -1 binary64) (sqrt.f64 x))
(- (sqrt x) 1)
(+.f64 #s(literal -1 binary64) (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
(* x (- (sqrt (/ 1 x)) (/ 1 x)))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(* x (- (sqrt (/ 1 x)) (/ 1 x)))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(* x (- (sqrt (/ 1 x)) (/ 1 x)))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -3/128 x))) 1/8))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(* -1 (/ (+ 8 (* 32 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -32 binary64) x)) x)
(/ (- (* -1 (/ (+ 32 (* 256 (/ 1 x))) x)) 8) x)
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal -32 binary64) (/.f64 #s(literal -256 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 256 (* 1536 (/ 1 x))) (pow x 2))) (+ 8 (* 32 (/ 1 x)))) x)
(/.f64 (-.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 32 binary64) (/.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 1536 binary64) x)) x)) x)) x)
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(* -1 (/ (+ 8 (* 32 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -32 binary64) x)) x)
(* -1 (/ (+ 8 (+ (* 32 (/ 1 x)) (/ 256 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal -32 binary64) (/.f64 #s(literal -256 binary64) x)) x)) x)
(* -1 (/ (+ 8 (* -1 (/ (- (* -1 (/ (+ 256 (* 1536 (/ 1 x))) x)) 32) x))) x))
(/.f64 (-.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 32 binary64) (/.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 1536 binary64) x)) x)) x)) x)
2
#s(literal 2 binary64)
(+ 2 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(* -1/8 (pow x 2))
(.f64 #s(literal -1/8 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) x))))
(* -1/8 (pow x 2))
(.f64 #s(literal -1/8 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) x))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/8 x))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/8 x))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/8 x))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/8))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/8))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/8))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))

simplify185.0ms (2.5%)

Memory

-6.2MiB live, 161.8MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1164	12584
1	1165	12584
0	1165	12584

Stop Event

1×	saturated
1×	saturated

Counts

464 → 0

Calls

Call 1

Inputs
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))))
(+.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 x (.f64 #s(literal 1/32 binary64) (.f64 x x))) (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/32 binary64) (.f64 x x)))) (.f64 x (*.f64 x #s(literal -1/8 binary64))))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/32 binary64) (.f64 x x))) x) (.f64 x (*.f64 x #s(literal -1/8 binary64))))
(+.f64 (fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 #s(literal 1/32 binary64) (.f64 x x)))) (.f64 x (*.f64 x #s(literal -1/8 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))))) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))))
(fma.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 x (.f64 #s(literal 1/32 binary64) (.f64 x x)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/32 binary64) (.f64 x x))) (.f64 x (.f64 x #s(literal -1/8 binary64))))
(fma.f64 #s(literal 1/32 binary64) (.f64 x (.f64 x x)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) (.f64 x x) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 #s(literal 1/32 binary64) (.f64 x x))) (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))) x (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x #s(literal 1/32 binary64)) (.f64 x x) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/32768 binary64) #s(literal -1/512 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (fma.f64 x #s(literal 1/256 binary64) (.f64 x (.f64 x #s(literal 1/1024 binary64)))))) (.f64 x x)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/1024 binary64) #s(literal -1/64 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/32 binary64) #s(literal -1/8 binary64))) (.f64 x x)) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/32 binary64) (.f64 x x)) x (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/32 binary64) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/32 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/32 binary64) (.f64 x x))) x (.f64 x (.f64 x #s(literal -1/8 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))))
(fma.f64 (.f64 (.f64 #s(literal 1/32 binary64) (.f64 x x)) (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/32768 binary64) #s(literal -1/512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (fma.f64 x #s(literal 1/256 binary64) (.f64 x (.f64 x #s(literal 1/1024 binary64)))))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/1024 binary64) #s(literal -1/64 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/32 binary64) #s(literal -1/8 binary64))) (.f64 x #s(literal 1/2 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))))
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(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/16 binary64) (.f64 #s(literal 1/64 binary64) (*.f64 x x)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 x x) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/4096 binary64)))) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/16 binary64) (.f64 #s(literal 1/64 binary64) (*.f64 x x))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/16 binary64) (.f64 #s(literal 1/64 binary64) (*.f64 x x))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/4096 binary64) (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) #s(literal 1/256 binary64)))) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/4096 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/16 binary64) (.f64 #s(literal 1/64 binary64) (.f64 x x)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (*.f64 x x)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))) (+.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/16 binary64) (.f64 #s(literal 1/64 binary64) (.f64 x x)))))) (fma.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/4096 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/16 binary64) (.f64 #s(literal 1/64 binary64) (.f64 x x)))))) (fma.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x)) #s(literal -1/8 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/4096 binary64) (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/16 binary64) (.f64 (*.f64 x x) #s(literal 1/256 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/4096 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/64 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/16 binary64) (.f64 #s(literal 1/64 binary64) (*.f64 x x))))))
(.f64 (fma.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 1/64 binary64)) #s(literal -1/16 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
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(.f64 (neg.f64 (fma.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/16 binary64) (.f64 #s(literal 1/64 binary64) (*.f64 x x)))))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 x x) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
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Outputs
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))))
(+.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
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(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/32 binary64) (.f64 x x)))) (.f64 x (*.f64 x #s(literal -1/8 binary64))))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/32 binary64) (.f64 x x))) x) (.f64 x (*.f64 x #s(literal -1/8 binary64))))
(+.f64 (fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 #s(literal 1/32 binary64) (.f64 x x)))) (.f64 x (*.f64 x #s(literal -1/8 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))))) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))))
(fma.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 x (.f64 #s(literal 1/32 binary64) (.f64 x x)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/32 binary64) (.f64 x x))) (.f64 x (.f64 x #s(literal -1/8 binary64))))
(fma.f64 #s(literal 1/32 binary64) (.f64 x (.f64 x x)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) (.f64 x x) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 #s(literal 1/32 binary64) (.f64 x x))) (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
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(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/1024 binary64) #s(literal -1/64 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/32 binary64) #s(literal -1/8 binary64))) (.f64 x x)) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/32 binary64) (.f64 x x)) x (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
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(fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/32 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/32 binary64) (.f64 x x))) x (.f64 x (.f64 x #s(literal -1/8 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))))
(fma.f64 (.f64 (.f64 #s(literal 1/32 binary64) (.f64 x x)) (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
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(/.f64 (fma.f64 (.f64 (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)))) (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))))) (.f64 x (.f64 x x)) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (fma.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))) (.f64 x (.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))))) (.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64))))))))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))) (+.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/16 binary64) (.f64 #s(literal 1/64 binary64) (.f64 x x)))))) (fma.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/4096 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/16 binary64) (.f64 #s(literal 1/64 binary64) (.f64 x x)))))) (fma.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x)) #s(literal -1/8 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/4096 binary64) (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/16 binary64) (.f64 (*.f64 x x) #s(literal 1/256 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/4096 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/64 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/16 binary64) (.f64 #s(literal 1/64 binary64) (*.f64 x x))))))
(.f64 (fma.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 1/64 binary64)) #s(literal -1/16 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 x x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))
(.f64 (neg.f64 (fma.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/16 binary64) (.f64 #s(literal 1/64 binary64) (*.f64 x x)))))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 x x) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))))

eval32.0ms (0.4%)

Memory: 2.2MiB live, 40.5MiB allocated
Compiler: Compiled 1 467 to 78 computations (94.7% saved)

prune6.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	215	1	216
Fresh	0	0	0
Picked	1	4	5
Done	0	6	6
Total	216	11	227

Accuracy

100.0%

Counts

227 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.2%	(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	37.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
✓	32.2%	(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
▶	68.3%	(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
✓	69.5%	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
✓	69.5%	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
✓	68.2%	(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
✓	69.7%	(*.f64 #s(literal 1/2 binary64) x)
✓	32.9%	(sqrt.f64 x)
✓	4.8%	#s(literal 2 binary64)

Compiler

Compiled 77 to 55 computations (28.6% saved)

simplify34.0ms (0.5%)

Memory

-14.0MiB live, 30.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))
✓	cost-diff	(fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
✓	cost-diff	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))

Rules

684×	`lower-fma.f32`
678×	`lower-fma.f64`
228×	`lower-+.f64`
228×	`lower-+.f32`
180×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
0	16	38
1	41	38
2	108	38
3	219	38
4	385	38
5	465	38
6	469	38
0	469	38

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
x
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
(fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))
#s(literal -3/128 binary64)
#s(literal 1/16 binary64)
#s(literal -1/8 binary64)
#s(literal 1/2 binary64)

Outputs
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
x
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
(fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))
#s(literal -3/128 binary64)
#s(literal 1/16 binary64)
#s(literal -1/8 binary64)
#s(literal 1/2 binary64)

localize53.0ms (0.7%)

Memory

-0.3MiB live, 39.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))

Samples

40.0ms	245×	0	valid
1.0ms	7×	1	valid
1.0ms	4×	2	valid

Compiler

Compiled 49 to 14 computations (71.4% saved)

Precisions

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

ival-mult: 6.0ms (56.7% of total)

ival-add: 3.0ms (28.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))>
#<alt (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))>
#<alt (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))>
#<alt (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))>

Outputs
#<alt -1/8>
#<alt (- (* 1/16 x) 1/8)>
#<alt (- (* x (+ 1/16 (* -3/128 x))) 1/8)>
#<alt (- (* x (+ 1/16 (* -3/128 x))) 1/8)>
#<alt (* -3/128 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/16 (/ 1 x)) 3/128))>
#<alt (* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 3/128 (/ 1/8 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 3/128 (/ 1/8 (pow x 2)))))>
#<alt (* -3/128 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/16 (/ 1 x)) 3/128))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 3/128))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 3/128))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -3/128 x))) 1/8))))>
#<alt (* -3/128 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/16 (/ 1 x)) 3/128))>
#<alt (* (pow x 4) (- (* 1/16 (/ 1 x)) (+ 3/128 (/ 1/8 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 3/128 (/ 1/8 (pow x 2)))))>
#<alt (* -3/128 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/16 (/ 1 x)) 3/128))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 3/128))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16) x)) 3/128))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/8 x))>
#<alt (+ 1/2 (* x (- (* 1/16 x) 1/8)))>
#<alt (+ 1/2 (* x (- (* x (+ 1/16 (* -3/128 x))) 1/8)))>
#<alt (* -3/128 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/16 (/ 1 x)) 3/128))>
#<alt (* (pow x 3) (- (* 1/16 (/ 1 x)) (+ 3/128 (/ 1/8 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 3/128 (/ 1/8 (pow x 2)))))>
#<alt (* -3/128 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 3/128 (* 1/16 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 3/128 (* -1 (/ (- 1/16 (* 1/8 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 3/128 (* -1 (/ (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))) x)))))>
#<alt 1/16>
#<alt (+ 1/16 (* -3/128 x))>
#<alt (+ 1/16 (* -3/128 x))>
#<alt (+ 1/16 (* -3/128 x))>
#<alt (* -3/128 x)>
#<alt (* x (- (* 1/16 (/ 1 x)) 3/128))>
#<alt (* x (- (* 1/16 (/ 1 x)) 3/128))>
#<alt (* x (- (* 1/16 (/ 1 x)) 3/128))>
#<alt (* -3/128 x)>
#<alt (* -1 (* x (- 3/128 (* 1/16 (/ 1 x)))))>
#<alt (* -1 (* x (- 3/128 (* 1/16 (/ 1 x)))))>
#<alt (* -1 (* x (- 3/128 (* 1/16 (/ 1 x)))))>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(+ (* x (+ (* x -3/128) 1/16)) -1/8)
0.0ms	x	@	0	(+ (* x (+ (* x -3/128) 1/16)) -1/8)
0.0ms	x	@	inf	(+ (* x (+ (* x -3/128) 1/16)) -1/8)
0.0ms	x	@	inf	(* x (+ (* x (+ (* x (+ (* x -3/128) 1/16)) -1/8)) 1/2))
0.0ms	x	@	-inf	(* x (+ (* x (+ (* x (+ (* x -3/128) 1/16)) -1/8)) 1/2))

rewrite728.0ms (9.9%)

Memory

12.5MiB live, 243.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 526×	`lower-fma.f32`
6 520×	`lower-fma.f64`
4 542×	`lower-*.f32`
4 540×	`lower-*.f64`
2 848×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
0	16	33
1	84	33
2	653	33
3	6800	33
0	8042	33

Stop Event

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

Counts

4 → 328

Calls

Call 1

Inputs
(fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))

Outputs
(+.f64 #s(literal -1/8 binary64) (*.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))))
(+.f64 (*.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))) #s(literal -1/8 binary64))
(+.f64 (.f64 x (.f64 x #s(literal -3/128 binary64))) (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))
(+.f64 (.f64 x #s(literal 1/16 binary64)) (fma.f64 x (.f64 x #s(literal -3/128 binary64)) #s(literal -1/8 binary64)))
(+.f64 (/.f64 (.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))))) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (neg.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))
(+.f64 (fma.f64 x (.f64 x #s(literal -3/128 binary64)) #s(literal -1/8 binary64)) (.f64 x #s(literal 1/16 binary64)))
(+.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (.f64 x (.f64 x #s(literal -3/128 binary64))))
(-.f64 (/.f64 (.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))))) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))
(-.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal -1/8 binary64) (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))))) (/.f64 (.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))))) (-.f64 #s(literal -1/8 binary64) (*.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))))))
(fma.f64 x #s(literal 1/16 binary64) (fma.f64 x (*.f64 x #s(literal -3/128 binary64)) #s(literal -1/8 binary64)))
(fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
(fma.f64 x (*.f64 x #s(literal -3/128 binary64)) (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))
(fma.f64 x (/.f64 (.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)))) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (neg.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 #s(literal -3/128 binary64) (*.f64 x x) (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1/16 binary64) x (fma.f64 x (*.f64 x #s(literal -3/128 binary64)) #s(literal -1/8 binary64)))
(fma.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) x #s(literal -1/8 binary64))
(fma.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (/.f64 (.f64 x (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)))) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (neg.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))) (/.f64 (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (neg.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 (*.f64 x #s(literal -3/128 binary64)) x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))
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(neg.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64)) (fma.f64 x #s(literal 3/128 binary64) #s(literal 1/16 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal 1/4096 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64))) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal 1/4096 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64)))
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64)) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal 1/4096 binary64))) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64))) (fma.f64 x #s(literal 3/128 binary64) #s(literal 1/16 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64)) (.f64 #s(literal 729/4398046511104 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/68719476736 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64)) (fma.f64 #s(literal 729/4398046511104 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 #s(literal 1/16777216 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal -27/8589934592 binary64))))))
(/.f64 (fma.f64 #s(literal 729/4398046511104 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/16777216 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64)) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -27/2097152 binary64) #s(literal -1/4096 binary64))))
(/.f64 (fma.f64 #s(literal 729/4398046511104 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/16777216 binary64)) (.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/268435456 binary64) (fma.f64 (.f64 x x) #s(literal 9/4194304 binary64) #s(literal 1/65536 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal 3/128 binary64))) (-.f64 #s(literal 1/256 binary64) (.f64 x (*.f64 x #s(literal 9/16384 binary64))))))
(/.f64 (-.f64 #s(literal 1/256 binary64) (.f64 x (.f64 x #s(literal 9/16384 binary64)))) (+.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 3/128 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/268435456 binary64) #s(literal -1/65536 binary64)) (.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64)) (fma.f64 x (*.f64 x #s(literal 9/16384 binary64)) #s(literal 1/256 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 9/16384 binary64))) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))) (.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64)) #s(literal 1/256 binary64))) (*.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64)) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64)) (.f64 #s(literal 729/4398046511104 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/68719476736 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 729/4398046511104 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 #s(literal 1/16777216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27/8589934592 binary64)))) (fma.f64 x (-.f64 (.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 729/4398046511104 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/16777216 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal -1/4096 binary64)) (fma.f64 x (-.f64 (.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 729/4398046511104 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/16777216 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/268435456 binary64) (fma.f64 (*.f64 x x) #s(literal 9/4194304 binary64) #s(literal 1/65536 binary64))) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/268435456 binary64) #s(literal -1/65536 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 9/16384 binary64)) #s(literal 1/256 binary64)) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal 1/4096 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 (.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64)))
(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal 1/4096 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64)))) (neg.f64 (fma.f64 x #s(literal 3/128 binary64) #s(literal 1/16 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/256 binary64) (.f64 x (.f64 x #s(literal 9/16384 binary64))))) (neg.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 3/128 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x #s(literal 9/16384 binary64))) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/256 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 9/16384 binary64))) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 9/16384 binary64))) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))) (fma.f64 (/.f64 #s(literal 1/256 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))) (.f64 (/.f64 (.f64 x (*.f64 x #s(literal 9/16384 binary64))) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 9/16384 binary64))) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 9/16384 binary64))) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64)))) (.f64 (/.f64 #s(literal 1/256 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 9/16384 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64)) (.f64 #s(literal 729/4398046511104 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/68719476736 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64)))) (fma.f64 #s(literal 729/4398046511104 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 #s(literal 1/16777216 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal -27/8589934592 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 729/4398046511104 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/16777216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64)))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -27/2097152 binary64) #s(literal -1/4096 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 729/4398046511104 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/16777216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64)))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/268435456 binary64) (fma.f64 (.f64 x x) #s(literal 9/4194304 binary64) #s(literal 1/65536 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/268435456 binary64) #s(literal -1/65536 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64)))) (fma.f64 x (*.f64 x #s(literal 9/16384 binary64)) #s(literal 1/256 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal 1/4096 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64))))
(.f64 (fma.f64 x (.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal 1/4096 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64)))))
(.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/128 binary64) #s(literal 1/16 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal 1/4096 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))) (fma.f64 x (.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64)))
(.f64 (-.f64 #s(literal 1/256 binary64) (.f64 x (.f64 x #s(literal 9/16384 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal 3/128 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64)) (fma.f64 x (*.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64))) (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal 1/4096 binary64)) (fma.f64 #s(literal 729/4398046511104 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x #s(literal 3/2048 binary64) #s(literal 1/256 binary64)) (.f64 (fma.f64 x #s(literal 3/2048 binary64) #s(literal 1/256 binary64)) (fma.f64 x #s(literal 3/2048 binary64) #s(literal 1/256 binary64)))))) (fma.f64 (fma.f64 x #s(literal 3/2048 binary64) #s(literal 1/256 binary64)) (-.f64 (fma.f64 x #s(literal 3/2048 binary64) #s(literal 1/256 binary64)) (.f64 x (.f64 x #s(literal 9/16384 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/268435456 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal 1/4096 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64)) (+.f64 (fma.f64 x (.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64)) (.f64 x #s(literal -3/2048 binary64))))) (+.f64 (fma.f64 x (.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64)) (*.f64 x #s(literal -3/2048 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal -1/4096 binary64))) (fma.f64 x (*.f64 x #s(literal 9/16384 binary64)) (fma.f64 x #s(literal -3/2048 binary64) #s(literal 1/256 binary64))))

simplify623.0ms (8.5%)

Memory

-2.4MiB live, 273.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 432×	`lower-fma.f64`
9 432×	`lower-fma.f32`
3 214×	`lower-*.f64`
3 214×	`lower-*.f32`
1 596×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	428
1	258	404
2	750	404
3	2316	384
4	6269	384
0	8076	346

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
-1/8
(- (* 1/16 x) 1/8)
(- (* x (+ 1/16 (* -3/128 x))) 1/8)
(- (* x (+ 1/16 (* -3/128 x))) 1/8)
(* -3/128 (pow x 2))
(* (pow x 2) (- (* 1/16 (/ 1 x)) 3/128))
(* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 3/128 (/ 1/8 (pow x 2)))))
(* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 3/128 (/ 1/8 (pow x 2)))))
(* -3/128 (pow x 2))
(* (pow x 2) (- (* 1/16 (/ 1 x)) 3/128))
(* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 3/128))
(* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 3/128))
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -3/128 x))) 1/8))))
(* -3/128 (pow x 4))
(* (pow x 4) (- (* 1/16 (/ 1 x)) 3/128))
(* (pow x 4) (- (* 1/16 (/ 1 x)) (+ 3/128 (/ 1/8 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 3/128 (/ 1/8 (pow x 2)))))
(* -3/128 (pow x 4))
(* (pow x 4) (- (* 1/16 (/ 1 x)) 3/128))
(* (pow x 4) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 3/128))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16) x)) 3/128))
1/2
(+ 1/2 (* -1/8 x))
(+ 1/2 (* x (- (* 1/16 x) 1/8)))
(+ 1/2 (* x (- (* x (+ 1/16 (* -3/128 x))) 1/8)))
(* -3/128 (pow x 3))
(* (pow x 3) (- (* 1/16 (/ 1 x)) 3/128))
(* (pow x 3) (- (* 1/16 (/ 1 x)) (+ 3/128 (/ 1/8 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 3/128 (/ 1/8 (pow x 2)))))
(* -3/128 (pow x 3))
(* -1 (* (pow x 3) (- 3/128 (* 1/16 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 3/128 (* -1 (/ (- 1/16 (* 1/8 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 3/128 (* -1 (/ (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))) x)))))
1/16
(+ 1/16 (* -3/128 x))
(+ 1/16 (* -3/128 x))
(+ 1/16 (* -3/128 x))
(* -3/128 x)
(* x (- (* 1/16 (/ 1 x)) 3/128))
(* x (- (* 1/16 (/ 1 x)) 3/128))
(* x (- (* 1/16 (/ 1 x)) 3/128))
(* -3/128 x)
(* -1 (* x (- 3/128 (* 1/16 (/ 1 x)))))
(* -1 (* x (- 3/128 (* 1/16 (/ 1 x)))))
(* -1 (* x (- 3/128 (* 1/16 (/ 1 x)))))

Outputs
-1/8
#s(literal -1/8 binary64)
(- (* 1/16 x) 1/8)
(fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))
(- (* x (+ 1/16 (* -3/128 x))) 1/8)
(fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
(- (* x (+ 1/16 (* -3/128 x))) 1/8)
(fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
(* -3/128 (pow x 2))
(.f64 #s(literal -3/128 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/16 (/ 1 x)) 3/128))
(*.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)))
(* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 3/128 (/ 1/8 (pow x 2)))))
(*.f64 x (fma.f64 x #s(literal -3/128 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))))
(* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 3/128 (/ 1/8 (pow x 2)))))
(*.f64 x (fma.f64 x #s(literal -3/128 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))))
(* -3/128 (pow x 2))
(.f64 #s(literal -3/128 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/16 (/ 1 x)) 3/128))
(*.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)))
(* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 3/128))
(*.f64 x (fma.f64 x #s(literal -3/128 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))))
(* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 3/128))
(*.f64 x (fma.f64 x #s(literal -3/128 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/8 x)))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(*.f64 x (fma.f64 x (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -3/128 x))) 1/8))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(* -3/128 (pow x 4))
(*.f64 #s(literal -3/128 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/16 (/ 1 x)) 3/128))
(*.f64 (+.f64 #s(literal -3/128 binary64) (/.f64 #s(literal 1/16 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/16 (/ 1 x)) (+ 3/128 (/ 1/8 (pow x 2)))))
(*.f64 (+.f64 #s(literal -3/128 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 3/128 (/ 1/8 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -3/128 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) x)))
(* -3/128 (pow x 4))
(*.f64 #s(literal -3/128 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/16 (/ 1 x)) 3/128))
(*.f64 (+.f64 #s(literal -3/128 binary64) (/.f64 #s(literal 1/16 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 3/128))
(*.f64 (+.f64 #s(literal -3/128 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16) x)) 3/128))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -3/128 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) x)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/8 x))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/16 x) 1/8)))
(fma.f64 x (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* x (+ 1/16 (* -3/128 x))) 1/8)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(* -3/128 (pow x 3))
(.f64 #s(literal -3/128 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/16 (/ 1 x)) 3/128))
(.f64 x (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))))
(* (pow x 3) (- (* 1/16 (/ 1 x)) (+ 3/128 (/ 1/8 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -3/128 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))))
(* (pow x 3) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 3/128 (/ 1/8 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -3/128 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))
(* -3/128 (pow x 3))
(.f64 #s(literal -3/128 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 3/128 (* 1/16 (/ 1 x)))))
(.f64 x (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))))
(* -1 (* (pow x 3) (+ 3/128 (* -1 (/ (- 1/16 (* 1/8 (/ 1 x))) x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -3/128 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))))
(* -1 (* (pow x 3) (+ 3/128 (* -1 (/ (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))) x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -3/128 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* -3/128 x))
(fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))
(+ 1/16 (* -3/128 x))
(fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))
(+ 1/16 (* -3/128 x))
(fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))
(* -3/128 x)
(*.f64 x #s(literal -3/128 binary64))
(* x (- (* 1/16 (/ 1 x)) 3/128))
(fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))
(* x (- (* 1/16 (/ 1 x)) 3/128))
(fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))
(* x (- (* 1/16 (/ 1 x)) 3/128))
(fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))
(* -3/128 x)
(*.f64 x #s(literal -3/128 binary64))
(* -1 (* x (- 3/128 (* 1/16 (/ 1 x)))))
(fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))
(* -1 (* x (- 3/128 (* 1/16 (/ 1 x)))))
(fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))
(* -1 (* x (- 3/128 (* 1/16 (/ 1 x)))))
(fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))

simplify260.0ms (3.5%)

Memory

36.4MiB live, 185.8MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	848	12045
1	850	12045
0	850	12045

Stop Event

1×	saturated
1×	saturated

Counts

328 → 0

Calls

Call 1

Inputs
(+.f64 #s(literal -1/8 binary64) (*.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))))
(+.f64 (*.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))) #s(literal -1/8 binary64))
(+.f64 (.f64 x (.f64 x #s(literal -3/128 binary64))) (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))
(+.f64 (.f64 x #s(literal 1/16 binary64)) (fma.f64 x (.f64 x #s(literal -3/128 binary64)) #s(literal -1/8 binary64)))
(+.f64 (/.f64 (.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))))) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (neg.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))
(+.f64 (fma.f64 x (.f64 x #s(literal -3/128 binary64)) #s(literal -1/8 binary64)) (.f64 x #s(literal 1/16 binary64)))
(+.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (.f64 x (.f64 x #s(literal -3/128 binary64))))
(-.f64 (/.f64 (.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))))) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))
(-.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal -1/8 binary64) (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))))) (/.f64 (.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))))) (-.f64 #s(literal -1/8 binary64) (*.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))))))
(fma.f64 x #s(literal 1/16 binary64) (fma.f64 x (*.f64 x #s(literal -3/128 binary64)) #s(literal -1/8 binary64)))
(fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
(fma.f64 x (*.f64 x #s(literal -3/128 binary64)) (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))
(fma.f64 x (/.f64 (.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)))) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (neg.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 #s(literal -3/128 binary64) (*.f64 x x) (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1/16 binary64) x (fma.f64 x (*.f64 x #s(literal -3/128 binary64)) #s(literal -1/8 binary64)))
(fma.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) x #s(literal -1/8 binary64))
(fma.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (/.f64 (.f64 x (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)))) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (neg.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))) (/.f64 (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (neg.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 (*.f64 x #s(literal -3/128 binary64)) x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal 1/4096 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64))) x) #s(literal -1/8 binary64))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal 1/4096 binary64)) (/.f64 x (fma.f64 x (-.f64 (*.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64))) #s(literal -1/8 binary64))
(fma.f64 (.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (neg.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))) x) #s(literal -1/8 binary64))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64)) (/.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))) #s(literal -1/8 binary64))
(fma.f64 (.f64 x (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)))) (/.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (neg.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64)) (.f64 x (.f64 x x)) (.f64 #s(literal 1/4096 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x #s(literal 9/16384 binary64))) (.f64 x x) (.f64 #s(literal 1/256 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x #s(literal -3/2048 binary64))))) #s(literal -1/8 binary64))
(fma.f64 (.f64 (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))) (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64)))) #s(literal -1/8 binary64))
(fma.f64 (*.f64 x x) #s(literal -3/128 binary64) (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))
(fma.f64 (.f64 x x) (/.f64 (.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (neg.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))
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(fma.f64 (.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)))) (/.f64 x (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (neg.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal 1/4096 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64))) #s(literal -1/8 binary64))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))) #s(literal -1/8 binary64))
(fma.f64 (/.f64 (.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))))) (fma.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)))) #s(literal -1/64 binary64))) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) (neg.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 (/.f64 (.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))))) (fma.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (.f64 x (.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)))))) #s(literal 1/512 binary64))) (fma.f64 x (.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)))) (fma.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (.f64 x #s(literal -1/8 binary64)) #s(literal 1/64 binary64))) (neg.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 (/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal 1/4096 binary64))) (fma.f64 #s(literal 729/4398046511104 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x #s(literal 3/2048 binary64) #s(literal 1/256 binary64)) (.f64 (fma.f64 x #s(literal 3/2048 binary64) #s(literal 1/256 binary64)) (fma.f64 x #s(literal 3/2048 binary64) #s(literal 1/256 binary64)))))) (fma.f64 (fma.f64 x #s(literal 3/2048 binary64) #s(literal 1/256 binary64)) (-.f64 (fma.f64 x #s(literal 3/2048 binary64) #s(literal 1/256 binary64)) (.f64 x (.f64 x #s(literal 9/16384 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/268435456 binary64))) #s(literal -1/8 binary64))
(fma.f64 (/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal 1/4096 binary64))) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64)) (+.f64 (fma.f64 x (.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64)) (.f64 x #s(literal -3/2048 binary64))))) (+.f64 (fma.f64 x (.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64)) (*.f64 x #s(literal -3/2048 binary64))) #s(literal -1/8 binary64))
(fma.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64))) (fma.f64 x (*.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64))) (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
(fma.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal -1/4096 binary64))) (fma.f64 x (*.f64 x #s(literal 9/16384 binary64)) (fma.f64 x #s(literal -3/2048 binary64) #s(literal 1/256 binary64))) #s(literal -1/8 binary64))
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(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64)) (.f64 #s(literal 729/4398046511104 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/68719476736 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64)))) (fma.f64 #s(literal 729/4398046511104 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 #s(literal 1/16777216 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal -27/8589934592 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 729/4398046511104 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/16777216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64)))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -27/2097152 binary64) #s(literal -1/4096 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 729/4398046511104 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/16777216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64)))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/268435456 binary64) (fma.f64 (.f64 x x) #s(literal 9/4194304 binary64) #s(literal 1/65536 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/268435456 binary64) #s(literal -1/65536 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64)))) (fma.f64 x (*.f64 x #s(literal 9/16384 binary64)) #s(literal 1/256 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal 1/4096 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64))))
(.f64 (fma.f64 x (.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal 1/4096 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64)))))
(.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/128 binary64) #s(literal 1/16 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal 1/4096 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))) (fma.f64 x (.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64)))
(.f64 (-.f64 #s(literal 1/256 binary64) (.f64 x (.f64 x #s(literal 9/16384 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal 3/128 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64)) (fma.f64 x (*.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64))) (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal 1/4096 binary64)) (fma.f64 #s(literal 729/4398046511104 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x #s(literal 3/2048 binary64) #s(literal 1/256 binary64)) (.f64 (fma.f64 x #s(literal 3/2048 binary64) #s(literal 1/256 binary64)) (fma.f64 x #s(literal 3/2048 binary64) #s(literal 1/256 binary64)))))) (fma.f64 (fma.f64 x #s(literal 3/2048 binary64) #s(literal 1/256 binary64)) (-.f64 (fma.f64 x #s(literal 3/2048 binary64) #s(literal 1/256 binary64)) (.f64 x (.f64 x #s(literal 9/16384 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/268435456 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal 1/4096 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64)) (+.f64 (fma.f64 x (.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64)) (.f64 x #s(literal -3/2048 binary64))))) (+.f64 (fma.f64 x (.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64)) (*.f64 x #s(literal -3/2048 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal -1/4096 binary64))) (fma.f64 x (*.f64 x #s(literal 9/16384 binary64)) (fma.f64 x #s(literal -3/2048 binary64) #s(literal 1/256 binary64))))

Outputs
(+.f64 #s(literal -1/8 binary64) (*.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))))
(+.f64 (*.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))) #s(literal -1/8 binary64))
(+.f64 (.f64 x (.f64 x #s(literal -3/128 binary64))) (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))
(+.f64 (.f64 x #s(literal 1/16 binary64)) (fma.f64 x (.f64 x #s(literal -3/128 binary64)) #s(literal -1/8 binary64)))
(+.f64 (/.f64 (.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))))) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (neg.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))
(+.f64 (fma.f64 x (.f64 x #s(literal -3/128 binary64)) #s(literal -1/8 binary64)) (.f64 x #s(literal 1/16 binary64)))
(+.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (.f64 x (.f64 x #s(literal -3/128 binary64))))
(-.f64 (/.f64 (.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))))) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))
(-.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal -1/8 binary64) (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))))) (/.f64 (.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))))) (-.f64 #s(literal -1/8 binary64) (*.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))))))
(fma.f64 x #s(literal 1/16 binary64) (fma.f64 x (*.f64 x #s(literal -3/128 binary64)) #s(literal -1/8 binary64)))
(fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
(fma.f64 x (*.f64 x #s(literal -3/128 binary64)) (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))
(fma.f64 x (/.f64 (.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)))) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (neg.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 #s(literal -3/128 binary64) (*.f64 x x) (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1/16 binary64) x (fma.f64 x (*.f64 x #s(literal -3/128 binary64)) #s(literal -1/8 binary64)))
(fma.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) x #s(literal -1/8 binary64))
(fma.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (/.f64 (.f64 x (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)))) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (neg.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))) (/.f64 (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (neg.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 (*.f64 x #s(literal -3/128 binary64)) x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal 1/4096 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64))) x) #s(literal -1/8 binary64))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal 1/4096 binary64)) (/.f64 x (fma.f64 x (-.f64 (*.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64))) #s(literal -1/8 binary64))
(fma.f64 (.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (neg.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))) x) #s(literal -1/8 binary64))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64)) (/.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))) #s(literal -1/8 binary64))
(fma.f64 (.f64 x (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)))) (/.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (neg.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64)) (.f64 x (.f64 x x)) (.f64 #s(literal 1/4096 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x #s(literal 9/16384 binary64))) (.f64 x x) (.f64 #s(literal 1/256 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x #s(literal -3/2048 binary64))))) #s(literal -1/8 binary64))
(fma.f64 (.f64 (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))) (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64)))) #s(literal -1/8 binary64))
(fma.f64 (*.f64 x x) #s(literal -3/128 binary64) (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))
(fma.f64 (.f64 x x) (/.f64 (.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (neg.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 (.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))) (/.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (neg.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 (.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)))) (/.f64 x (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (neg.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal 1/4096 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64))) #s(literal -1/8 binary64))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))) #s(literal -1/8 binary64))
(fma.f64 (/.f64 (.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))))) (fma.f64 (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)))) #s(literal -1/64 binary64))) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) (neg.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))
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(fma.f64 (/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal 1/4096 binary64))) (fma.f64 #s(literal 729/4398046511104 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x #s(literal 3/2048 binary64) #s(literal 1/256 binary64)) (.f64 (fma.f64 x #s(literal 3/2048 binary64) #s(literal 1/256 binary64)) (fma.f64 x #s(literal 3/2048 binary64) #s(literal 1/256 binary64)))))) (fma.f64 (fma.f64 x #s(literal 3/2048 binary64) #s(literal 1/256 binary64)) (-.f64 (fma.f64 x #s(literal 3/2048 binary64) #s(literal 1/256 binary64)) (.f64 x (.f64 x #s(literal 9/16384 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/268435456 binary64))) #s(literal -1/8 binary64))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 9/16384 binary64))) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 9/16384 binary64))) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64)))) (.f64 (/.f64 #s(literal 1/256 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 9/16384 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64)) (.f64 #s(literal 729/4398046511104 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/68719476736 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64)))) (fma.f64 #s(literal 729/4398046511104 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 #s(literal 1/16777216 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal -27/8589934592 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 729/4398046511104 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/16777216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64)))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -27/2097152 binary64) #s(literal -1/4096 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 729/4398046511104 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/16777216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64)))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/268435456 binary64) (fma.f64 (.f64 x x) #s(literal 9/4194304 binary64) #s(literal 1/65536 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/268435456 binary64) #s(literal -1/65536 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64)))) (fma.f64 x (*.f64 x #s(literal 9/16384 binary64)) #s(literal 1/256 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal 1/4096 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64))))
(.f64 (fma.f64 x (.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal 1/4096 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64)))))
(.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/128 binary64) #s(literal 1/16 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal 1/4096 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/128 binary64) #s(literal -1/16 binary64))) (fma.f64 x (.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64)))
(.f64 (-.f64 #s(literal 1/256 binary64) (.f64 x (.f64 x #s(literal 9/16384 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal 3/128 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64)) (fma.f64 x (*.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64))) (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal 1/4096 binary64)) (fma.f64 #s(literal 729/4398046511104 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x #s(literal 3/2048 binary64) #s(literal 1/256 binary64)) (.f64 (fma.f64 x #s(literal 3/2048 binary64) #s(literal 1/256 binary64)) (fma.f64 x #s(literal 3/2048 binary64) #s(literal 1/256 binary64)))))) (fma.f64 (fma.f64 x #s(literal 3/2048 binary64) #s(literal 1/256 binary64)) (-.f64 (fma.f64 x #s(literal 3/2048 binary64) #s(literal 1/256 binary64)) (.f64 x (.f64 x #s(literal 9/16384 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/268435456 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal 1/4096 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9/16384 binary64)) #s(literal -3/2048 binary64)) #s(literal 1/256 binary64)) (+.f64 (fma.f64 x (.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64)) (.f64 x #s(literal -3/2048 binary64))))) (+.f64 (fma.f64 x (.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64)) (*.f64 x #s(literal -3/2048 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 9/16384 binary64)) #s(literal -1/256 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/2097152 binary64) #s(literal -1/4096 binary64))) (fma.f64 x (*.f64 x #s(literal 9/16384 binary64)) (fma.f64 x #s(literal -3/2048 binary64) #s(literal 1/256 binary64))))

eval11.0ms (0.2%)

Memory: -14.2MiB live, 23.9MiB allocated
Compiler: Compiled 1 061 to 63 computations (94.1% saved)

prune21.0ms (0.3%)

Memory

-23.0MiB live, 22.2MiB allocated

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	0	0
Picked	0	1	1
Done	0	10	10
Total	95	12	107

Accuracy

100.0%

Counts

107 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.2%	(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	37.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
✓	32.2%	(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
	17.1%	(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -3/128 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) x)))
✓	68.3%	(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
✓	69.5%	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
✓	69.5%	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
✓	68.2%	(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
✓	69.7%	(*.f64 #s(literal 1/2 binary64) x)
✓	32.9%	(sqrt.f64 x)
✓	4.8%	#s(literal 2 binary64)

Compiler

Compiled 188 to 112 computations (40.4% saved)

regimes9.0ms (0.1%)

Memory

23.5MiB live, 23.5MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 x)
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(/.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -3/128 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) x)))

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

Calls

2 calls:

4.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
4.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes10.0ms (0.1%)

Memory

-13.8MiB live, 24.9MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 x)
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(/.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))

Outputs
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))

Calls

2 calls:

5.0ms	x
4.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
99.4%	2	`x`
99.4%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes7.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 x)
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))

Outputs
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))

Calls

2 calls:

3.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
3.0ms	x

Results

Accuracy	Segments	Branch
99.4%	2	`x`
99.4%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes7.0ms (0.1%)

Memory

-21.6MiB live, 16.5MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 x)
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))

Outputs
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))

Calls

2 calls:

4.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
3.0ms	x

Results

Accuracy	Segments	Branch
99.4%	2	`x`
99.4%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes5.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 x)
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))

Outputs
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))

Calls

2 calls:

2.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
2.0ms	x

Results

Accuracy	Segments	Branch
99.4%	2	`x`
99.4%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes5.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 x)
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))

Outputs
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 x)

Calls

2 calls:

2.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
2.0ms	x

Results

Accuracy	Segments	Branch
98.5%	2	`x`
98.5%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes5.0ms (0.1%)

Memory

-28.2MiB live, 11.4MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
2.0ms	x

Results

Accuracy	Segments	Branch
98.0%	2	`x`
98.0%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
2.0ms	x

Results

Accuracy	Segments	Branch
69.7%	1	`x`
69.7%	1	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)

Outputs
#s(literal 2 binary64)

Calls

2 calls:

1.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
1.0ms	x

Results

Accuracy	Segments	Branch
4.8%	1	`x`
4.8%	1	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.4338888024925091	5.535731025594082

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.4338888024925091	5.535731025594082

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.4338888024925091	5.535731025594082

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.4338888024925091	5.535731025594082

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.4338888024925091	5.535731025594082

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.4338888024925091	5.535731025594082

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify10.0ms (0.1%)

Memory

-23.2MiB live, 18.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	143
1	46	143

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (sqrt.f64 x))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 2 binary64)

Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (sqrt.f64 x))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 2 binary64)

soundness926.0ms (12.6%)

Memory

12.4MiB live, 657.0MiB allocated

Rules

18 662×	`lower-fma.f64`
18 662×	`lower-fma.f32`
16 494×	`lower-fma.f64`
16 494×	`lower-fma.f32`
10 282×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	795
1	421	752
2	1091	734
3	2975	728
0	8326	650
0	123	626
1	339	622
2	890	592
3	2253	592
4	5268	584
0	8491	513
0	161	600
1	485	505
2	1620	483
3	5414	474
0	8351	430

Stop Event

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

Compiler

Compiled 251 to 113 computations (55% saved)

preprocess138.0ms (1.9%)

Memory: 9.1MiB live, 248.2MiB allocated
Compiler: Compiled 306 to 82 computations (73.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	21
1	23	17
2	51	16
3	110	16
4	221	16
5	333	16
6	361	16
7	377	16
8	390	16
0	6	8
0	10	8
1	14	8
0	14	8

Iter	Nodes	Cost
0	8	21
1	23	17
2	51	16
3	110	16
4	221	16
5	333	16
6	361	16
7	377	16
8	390	16
0	6	8
0	10	8
1	14	8
0	14	8

analyze1.0ms (0%)

sample840.0ms (11.4%)

preprocess41.0ms (0.6%)

explain76.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize24.0ms (0.3%)

series5.0ms (0.1%)

rewrite320.0ms (4.3%)

simplify612.0ms (8.3%)

simplify116.0ms (1.6%)

eval9.0ms (0.1%)

prune13.0ms (0.2%)

simplify8.0ms (0.1%)

localize93.0ms (1.3%)

series29.0ms (0.4%)

rewrite389.0ms (5.3%)

simplify558.0ms (7.6%)

simplify163.0ms (2.2%)

eval23.0ms (0.3%)

prune11.0ms (0.1%)

simplify9.0ms (0.1%)

localize76.0ms (1%)

series36.0ms (0.5%)

rewrite486.0ms (6.6%)

simplify335.0ms (4.5%)

simplify185.0ms (2.5%)

eval32.0ms (0.4%)

prune6.0ms (0.1%)

simplify34.0ms (0.5%)

localize53.0ms (0.7%)

series2.0ms (0%)

rewrite728.0ms (9.9%)

simplify623.0ms (8.5%)

simplify260.0ms (3.5%)

eval11.0ms (0.2%)

prune21.0ms (0.3%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

soundness926.0ms (12.6%)

preprocess138.0ms (1.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	21
1	23	17
2	51	16
3	110	16
4	221	16
5	333	16
6	361	16
7	377	16
8	390	16
0	6	8
0	10	8
1	14	8
0	14	8