Metrics for 2sqrt (example 3.1)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze2.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
0%	0%	25%	75%	0%	0%	0%	1
50%	12.5%	12.5%	75%	0%	0%	0%	2
75%	18.7%	6.2%	75%	0%	0%	0%	3
87.5%	21.9%	3.1%	75%	0%	0%	0%	4
93.8%	23.4%	1.6%	75%	0%	0%	0%	5
96.9%	24.2%	0.8%	75%	0%	0%	0%	6
98.4%	24.6%	0.4%	75%	0%	0%	0%	7
99.2%	24.8%	0.2%	75%	0%	0%	0%	8
99.6%	24.9%	0.1%	75%	0%	0%	0%	9
99.8%	24.9%	0%	75%	0%	0%	0%	10
99.9%	25%	0%	75%	0%	0%	0%	11
100%	25%	0%	75%	0%	0%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.7s (22.7%)

Memory

35.7MiB live, 1 687.8MiB allocated; 440ms collecting garbage

Samples

1.4s	8 108×	1	valid
9.0ms	148×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 939.0ms

adjust: 267.0ms (28.4% of total)

ival-sqrt: 262.0ms (27.9% of total)

const: 132.0ms (14.1% of total)

ival-add: 128.0ms (13.6% of total)

ival-sub: 81.0ms (8.6% of total)

ival->: 27.0ms (2.9% of total)

ival-<: 19.0ms (2% of total)

ival-and: 13.0ms (1.4% of total)

exact: 7.0ms (0.7% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain127.0ms (1.7%)

Memory

20.6MiB live, 130.7MiB allocated; 44ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
254	-	-	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	-	-	`(sqrt.f64 x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(sqrt.f64 (+.f64 x #s(literal 1 binary64)))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`	cancellation	254	0

Confusion

	Predicted +	Predicted -
+	254	0
-	0	2

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	254	0	0
-	0	0	2

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	2
1	254

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

55.0ms	502×	1	valid
0.0ms	10×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-sqrt: 14.0ms (37.3% of total)

adjust: 13.0ms (34.6% of total)

ival-add: 5.0ms (13.3% of total)

ival-sub: 5.0ms (13.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess15.0ms (0.2%)

Memory

-29.3MiB live, 17.3MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	11	19
0	6	7
0	10	7
1	13	7
0	13	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.8%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
cost-diff	0	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
0	13	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize37.0ms (0.5%)

Memory

-1.0MiB live, 44.2MiB allocated; 5ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
accuracy	0.0	(sqrt.f64 x)
accuracy	59.62281267969358	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Samples

29.0ms	251×	1	valid
0.0ms	5×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-sqrt: 7.0ms (33.8% of total)

adjust: 6.0ms (28.9% of total)

ival-add: 5.0ms (24.1% of total)

ival-sub: 2.0ms (9.6% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Counts

4 → 27

Calls

Call 1

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

Outputs
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+ 1 x)
(sqrt x)
(* 1/2 (sqrt (/ 1 x)))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) 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))))))))
x
(* x (+ 1 (/ 1 x)))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -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)))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (sqrt x))
2.0ms	x	@	inf	((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (sqrt x))
1.0ms	x	@	0	((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (sqrt x))

simplify182.0ms (2.4%)

Memory

39.7MiB live, 174.0MiB allocated; 28ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	451
1	331	393
2	1209	387
3	4903	387
0	8229	353

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 26

Calls

Call 1

Inputs
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+ 1 x)
(sqrt x)
(* 1/2 (sqrt (/ 1 x)))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) 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))))))))
x
(* x (+ 1 (/ 1 x)))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -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)))))))

Outputs
(- 1 (sqrt x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
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 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(sqrt x)
(sqrt.f64 x)
(* 1/2 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) 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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* -1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) x)
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(/.f64 (fma.f64 #s(literal 5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))) 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 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) 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 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) 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 (fma.f64 #s(literal -1/16 binary64) (/.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))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)

rewrite171.0ms (2.2%)

Memory

2.5MiB live, 147.2MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	42	16
2	271	16
3	2932	16
0	9099	16

Stop Event

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

Counts

4 → 281

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (pow.f64 (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)) #s(literal 2 binary64))) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)))
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(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sinh.f64 (acosh.f64 x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64))))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(/.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (sinh.f64 (acosh.f64 x)) (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64))))) (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sinh.f64 (acosh.f64 x))) (.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (hypot.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (sinh.f64 (acosh.f64 (*.f64 x x))) (sinh.f64 (acosh.f64 x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(sin.f64 (acos.f64 x))
(cosh.f64 (asinh.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(fabs.f64 (-.f64 #s(literal 1 binary64) x))
(cos.f64 (asin.f64 x))
(hypot.f64 (fabs.f64 (hypot.f64 (sqrt.f64 x) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(hypot.f64 (hypot.f64 (sqrt.f64 x) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (fabs.f64 (hypot.f64 (sqrt.f64 x) x)))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (hypot.f64 (sqrt.f64 x) x))
(+.f64 (cosh.f64 (log1p.f64 x)) (sinh.f64 (log1p.f64 x)))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(exp.f64 (log1p.f64 x))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x))))
(exp.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))

eval32.0ms (0.4%)

Memory: 2.5MiB live, 47.5MiB allocated; 5ms collecting garbage
Compiler: Compiled 5 730 to 1 085 computations (81.1% saved)

prune14.0ms (0.2%)

Memory

-16.1MiB live, 27.3MiB allocated; 6ms collecting garbage

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	297	9	306
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	297	10	307

Accuracy

99.9%

Counts

307 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.8%	(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
	6.6%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64)))))
✓	6.8%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
	4.6%	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
▶	3.8%	(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))
▶	1.6%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
▶	99.1%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
▶	99.1%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
	98.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
	97.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))

Compiler

Compiled 313 to 248 computations (20.8% saved)

simplify127.0ms (1.7%)

Memory

-3.8MiB live, 94.3MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
cost-diff	0	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
cost-diff	4	(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
cost-diff	3	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
cost-diff	0	(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
cost-diff	0	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
cost-diff	2	(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	342
0	60	333
1	91	333
2	260	333
3	1055	333
4	3758	333
5	5368	333
6	6288	333
7	6693	333
8	7288	333
9	7794	329
0	8303	321

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 5 binary64))
x
#s(literal 5 binary64)
#s(literal -5/128 binary64)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/16 binary64)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal -1/8 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
(sqrt.f64 x)
x
(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
x
#s(literal 1 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal 1/16 binary64)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal -1/8 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)

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

localize206.0ms (2.7%)

Memory

26.0MiB live, 258.3MiB allocated; 41ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.2578125	(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
accuracy	0.3512886633897464	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
accuracy	0.3682759749303996	(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
accuracy	18.126096921364855	(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
accuracy	0.0	(sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.53125	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
accuracy	59.62281267969358	(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
accuracy	0.0	(sqrt.f64 x)
accuracy	1.325847343634076	#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
accuracy	59.62281267969358	(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))
accuracy	0.0	(sqrt.f64 x)
accuracy	59.48515479113571	#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
accuracy	59.62281267969358	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
accuracy	0.3682759749303996	(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
accuracy	0.5765065011892319	(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
accuracy	12.477480223777675	(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
accuracy	18.126096921364855	(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))

Samples

135.0ms	252×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 301 to 35 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

adjust: 27.0ms (26.8% of total)

ival-mult: 18.0ms (17.9% of total)

ival-div: 13.0ms (12.9% of total)

ival-sqrt: 12.0ms (11.9% of total)

ival-add: 11.0ms (10.9% of total)

ival-hypot: 8.0ms (7.9% of total)

ival-sub: 5.0ms (5% of total)

ival-pow: 5.0ms (5% of total)

exact: 1.0ms (1% of total)

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

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

series27.0ms (0.4%)

Memory

-33.0MiB live, 12.1MiB allocated; 9ms collecting garbage

Counts

18 → 64

Calls

Call 1

Inputs
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
(sqrt.f64 x)
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))

Outputs
(* -5/128 (sqrt (/ 1 (pow x 7))))
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(* -5/128 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))
(sqrt (/ 1 (pow x 5)))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(sqrt x)
(+ 1 x)
(* 1/16 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))
(* 1/16 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2))
(sqrt (/ 1 (pow x 3)))
(/ 1 (pow x 5))
(/ 1 (pow x 3))
(* 1/2 (sqrt (/ 1 x)))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(* 1/2 (sqrt x))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 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))))))))
x
(* x (+ 1 (/ 1 x)))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))
(* -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)))))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))

Calls

3 calls:

Time	Variable		Point	Expression
19.0ms	x	@	inf	((/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (sqrt (/ 1 (pow x 5))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* (sqrt x) (sqrt x)) 1) (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (/ (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x)))) x) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x)))) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 5)) (/ 1 (pow x 3)))
4.0ms	x	@	-inf	((/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (sqrt (/ 1 (pow x 5))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* (sqrt x) (sqrt x)) 1) (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (/ (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x)))) x) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x)))) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 5)) (/ 1 (pow x 3)))
3.0ms	x	@	0	((/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (sqrt (/ 1 (pow x 5))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* (sqrt x) (sqrt x)) 1) (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (/ (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x)))) x) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x)))) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 5)) (/ 1 (pow x 3)))

Time

Variable

Point

Expression

19.0ms

inf

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

4.0ms

-inf

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

3.0ms

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

simplify158.0ms (2.1%)

Memory

41.0MiB live, 173.1MiB allocated; 30ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	1145
1	665	987
2	3045	974
0	8286	902

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 63

Calls

Call 1

Inputs
(* -5/128 (sqrt (/ 1 (pow x 7))))
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(* -5/128 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))
(sqrt (/ 1 (pow x 5)))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(sqrt x)
(+ 1 x)
(* 1/16 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))
(* 1/16 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2))
(sqrt (/ 1 (pow x 3)))
(/ 1 (pow x 5))
(/ 1 (pow x 3))
(* 1/2 (sqrt (/ 1 x)))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(* 1/2 (sqrt x))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 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))))))))
x
(* x (+ 1 (/ 1 x)))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))
(* -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)))))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))

Outputs
(* -5/128 (sqrt (/ 1 (pow x 7))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -5/128 binary64))
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))
(/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/16 binary64) x #s(literal -5/128 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/16 binary64) x #s(literal -5/128 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(- 1 (sqrt x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(* -5/128 (sqrt (/ 1 (pow x 5))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64))
(/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3))
(/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/16 binary64) x #s(literal -5/128 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/16 binary64) x #s(literal -5/128 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(sqrt (/ 1 (pow x 5)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 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 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(sqrt x)
(sqrt.f64 x)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(* 1/16 (sqrt (/ 1 (pow x 5))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64))
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(* 1/16 (sqrt (/ 1 (pow x 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64))
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (.f64 x x))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 x x))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/ 1 (pow x 5))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64)))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64)))))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)
(* 1/2 (sqrt x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x)
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64)))) x)
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64))))) x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) 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 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64))) x))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (/.f64 (fma.f64 #s(literal 5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64))) x)) x))
(* -1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (neg.f64 x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) #s(literal -5/128 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (neg.f64 x))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/8 binary64))) x)
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64))) x)) x)
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (/.f64 (fma.f64 #s(literal 5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64))) x)) x)) x)
(* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(* -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 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) 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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) 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 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (neg.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))
(-.f64 x #s(literal -1 binary64))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))

rewrite199.0ms (2.6%)

Memory

18.2MiB live, 250.8MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	235
0	60	200
1	233	183
2	1662	183
0	9877	177

Stop Event

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

Counts

18 → 736

Calls

Call 1

Inputs
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
(sqrt.f64 x)
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))

Outputs
(.f64 (/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))) (-.f64 (.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))))) (/.f64 (-.f64 (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))) x))
(.f64 (/.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))) (.f64 #s(literal 25/16384 binary64) (pow.f64 x #s(literal -5 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))) (*.f64 #s(literal 25/16384 binary64) (pow.f64 x #s(literal -5 binary64))))) (/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))) x))
(/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -5/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -5/2 binary64)))) (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -5/2 binary64)))) (-.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -5/2 binary64)))) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) x) #s(literal 3 binary64)) (.f64 #s(literal -125/2097152 binary64) (pow.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) x) (.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64))))))
(/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))))) x)
(/.f64 (+.f64 (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))))) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)))) x)
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(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -3/2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal -3/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))
(pow.f64 x #s(literal -3/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) x)
(/.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal -3 binary64)))
(fabs.f64 (pow.f64 x #s(literal -3/2 binary64)))
(+.f64 (cosh.f64 (.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (neg.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64))))
(exp.f64 (/.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (/.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -5/4 binary64)) (pow.f64 x #s(literal 5/4 binary64))) (/.f64 (pow.f64 x #s(literal -5/4 binary64)) (pow.f64 x #s(literal 5/4 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -5/2 binary64)) (pow.f64 x #s(literal -5/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -10 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -10 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -5/2 binary64))) (neg.f64 (pow.f64 x #s(literal -5/2 binary64))))
(*.f64 (pow.f64 x #s(literal -5/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -5/2 binary64)))
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -5/2 binary64)))
(*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -5 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) (pow.f64 x #s(literal -5 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/4 binary64))
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal -5/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -10 binary64))
(pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal -5 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal -5/2 binary64))) (neg.f64 (pow.f64 x #s(literal 5/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(/.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5 binary64))))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal -5 binary64)) (pow.f64 x #s(literal 5 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) (pow.f64 x #s(literal -5 binary64))))
(-.f64 (cosh.f64 (.f64 #s(literal -5 binary64) (log.f64 x))) (sinh.f64 (.f64 (log.f64 x) #s(literal 5 binary64))))
(+.f64 (cosh.f64 (.f64 #s(literal -5 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal -5 binary64) (log.f64 x))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal -5 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (/.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)) #s(literal 2 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal -5 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 5/2 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal -5 binary64) (log.f64 x)) #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal -5/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -10 binary64)))
(exp.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (/.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -3/4 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -3/4 binary64)) x))
(*.f64 (/.f64 (pow.f64 x #s(literal -3/4 binary64)) x) (/.f64 (pow.f64 x #s(literal -3/4 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -5/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal -5/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -6 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -6 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (neg.f64 (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -5/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal -3/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -6 binary64))
(pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal -3 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) x)
(/.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (neg.f64 (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 x))
(/.f64 (pow.f64 x #s(literal -2 binary64)) x)
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (*.f64 x x)))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (pow.f64 x #s(literal -5/2 binary64)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(neg.f64 (pow.f64 x #s(literal -3 binary64)))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal -5 binary64)) x))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))))
(-.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))))
(+.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal -5 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 x))))
(exp.f64 (fma.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal -3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -6 binary64)))
(exp.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)))

eval187.0ms (2.5%)

Memory: 0.5MiB live, 232.8MiB allocated; 32ms collecting garbage
Compiler: Compiled 46 718 to 4 448 computations (90.5% saved)

prune99.0ms (1.3%)

Memory

-16.4MiB live, 86.2MiB allocated; 28ms collecting garbage

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	1 131	8	1 139
Fresh	0	4	4
Picked	2	3	5
Done	0	1	1
Total	1 133	16	1 149

Accuracy

100.0%

Counts

1 149 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	6.8%	(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
	6.6%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64)))))
✓	6.8%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
	4.6%	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
✓	3.8%	(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))
✓	1.6%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
▶	5.5%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
	6.9%	(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 (asinh.f64 (sqrt.f64 x)))) (/.f64 x (exp.f64 (asinh.f64 (sqrt.f64 x)))))
	99.0%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -5/2 binary64))))))
	48.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x (.f64 x (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))))) (*.f64 x x)))
▶	99.1%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
▶	98.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
▶	97.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (sqrt.f64 x)) (sqrt.f64 x)))
	97.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
▶	97.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
	28.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/16 binary64) x #s(literal -5/128 binary64)))) (pow.f64 x #s(literal 4 binary64)))))

Compiler

Compiled 638 to 481 computations (24.6% saved)

simplify100.0ms (1.3%)

Memory

8.9MiB live, 54.5MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))
cost-diff	0	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (sqrt.f64 x)) (sqrt.f64 x)))
cost-diff	2	(/.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (sqrt.f64 x)) (sqrt.f64 x))
cost-diff	3	(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (sqrt.f64 x))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
cost-diff	0	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
cost-diff	3	(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
cost-diff	2	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(neg.f64 (sqrt.f64 x))
cost-diff	0	#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
cost-diff	1	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
cost-diff	0	(pow.f64 x #s(literal -3/2 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
cost-diff	0	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
cost-diff	1	(/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	299
0	54	299
1	87	291
2	173	289
3	482	289
4	1653	289
5	3299	288
6	4737	280
7	6543	280
8	7406	280
9	7978	280
0	8046	273

Stop Event

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

Calls

Call 1

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

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

localize222.0ms (2.9%)

Memory

19.4MiB live, 206.9MiB allocated; 34ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))
accuracy	0.2421875	(/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))
accuracy	0.265625	(/.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (sqrt.f64 x)) (sqrt.f64 x))
accuracy	1.3134067803565823	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (sqrt.f64 x)) (sqrt.f64 x)))
accuracy	0.01171875	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
accuracy	0.140625	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	0.25390625	(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
accuracy	0.5513724889886277	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.0	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
accuracy	0.140625	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	1.2565248456604456	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.0	(neg.f64 (sqrt.f64 x))
accuracy	0.00390625	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
accuracy	59.48515479113571	#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
accuracy	0.01171875	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
accuracy	0.140625	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	0.2578125	(/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
accuracy	0.3512886633897464	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))

Samples

164.0ms	251×	1	valid
1.0ms	5×	0	valid

Compiler

Compiled 253 to 33 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-pow: 31.0ms (27.5% of total)

adjust: 26.0ms (23% of total)

ival-div: 16.0ms (14.2% of total)

ival-mult: 12.0ms (10.6% of total)

ival-add: 11.0ms (9.7% of total)

ival-sqrt: 9.0ms (8% of total)

ival-sub: 5.0ms (4.4% of total)

ival-neg: 2.0ms (1.8% of total)

exact: 1.0ms (0.9% of total)

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

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

series40.0ms (0.5%)

Memory

-26.1MiB live, 18.4MiB allocated; 17ms collecting garbage

Counts

20 → 86

Calls

Call 1

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

Outputs
(* 1/16 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(* 1/16 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2))
(sqrt (/ 1 (pow x 3)))
(+ 1 (sqrt x))
(+ 1 (+ (sqrt x) (* 1/2 x)))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(* -1 (sqrt x))
(sqrt x)
(* 1/2 (sqrt (/ 1 x)))
(sqrt (/ 1 x))
(/ 1 x)
(* -1/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(* -1/8 (sqrt (/ 1 x)))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(/ 1/16 (pow x 2))
(/ (+ (* 1/16 x) (* 1/8 (pow x 2))) (pow x 3))
(/ (+ (* 1/16 x) (* x (+ (* 1/8 x) (* 1/2 (pow x 2))))) (pow x 3))
(/ (+ (* 1/16 (sqrt x)) (* 1/8 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))
(/ (+ (* 1/16 (sqrt x)) (* 1/8 (sqrt (pow x 3)))) (pow x 2))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2))
(* 1/8 (sqrt (/ 1 x)))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(* 1/2 (sqrt x))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
(* 2 (sqrt x))
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 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))))))))
1/2
(* x (+ (* 1/2 (/ 1 x)) (* 1/8 (/ 1 (pow x 2)))))
(* x (+ (/ 1/16 (pow x 3)) (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x)))))
(+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (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)))) (* 2 (* (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)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(* -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)))))))
(* (sqrt x) (pow (sqrt -1) 2))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* -1 (* x (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* -1 (/ (- (* 1/16 (/ 1 (pow x 2))) (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (* 1/2 (/ 1 x)))))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1 (/ (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt (/ 1 x))))
(* -1 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))

Calls

3 calls:

Time

Variable

Point

Expression

32.0ms

-inf

((/ (+ (* (pow x -3/2) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x)))) x) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (pow x -3/2) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x)))) (pow x -3/2) (- (sqrt (+ x 1)) (neg (sqrt x))) (sqrt (+ x 1)) (neg (sqrt x)) (sqrt x) (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (/ 1 x)) (/ 1 x) (/ (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) x) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ 1/8 (sqrt x)))) (sqrt x)) (/ (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ 1/8 (sqrt x)))) (sqrt x)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ 1/8 (sqrt x)))) (/ 1/8 (sqrt x)))

4.0ms

((/ (+ (* (pow x -3/2) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x)))) x) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (pow x -3/2) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x)))) (pow x -3/2) (- (sqrt (+ x 1)) (neg (sqrt x))) (sqrt (+ x 1)) (neg (sqrt x)) (sqrt x) (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (/ 1 x)) (/ 1 x) (/ (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) x) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ 1/8 (sqrt x)))) (sqrt x)) (/ (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ 1/8 (sqrt x)))) (sqrt x)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ 1/8 (sqrt x)))) (/ 1/8 (sqrt x)))

3.0ms

inf

((/ (+ (* (pow x -3/2) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x)))) x) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (pow x -3/2) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x)))) (pow x -3/2) (- (sqrt (+ x 1)) (neg (sqrt x))) (sqrt (+ x 1)) (neg (sqrt x)) (sqrt x) (* (sqrt (/ 1 x)) 1/2) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (/ 1 x)) (/ 1 x) (/ (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) x) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ 1/8 (sqrt x)))) (sqrt x)) (/ (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ 1/8 (sqrt x)))) (sqrt x)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ 1/8 (sqrt x)))) (/ 1/8 (sqrt x)))

simplify159.0ms (2.1%)

Memory

0.2MiB live, 189.5MiB allocated; 39ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	259	1456
1	846	1286
2	3606	1256
0	8701	1166

Stop Event

1×	iter limit
1×	node limit

Counts

86 → 86

Calls

Call 1

Inputs
(* 1/16 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(* 1/16 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2))
(sqrt (/ 1 (pow x 3)))
(+ 1 (sqrt x))
(+ 1 (+ (sqrt x) (* 1/2 x)))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(* -1 (sqrt x))
(sqrt x)
(* 1/2 (sqrt (/ 1 x)))
(sqrt (/ 1 x))
(/ 1 x)
(* -1/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(* -1/8 (sqrt (/ 1 x)))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(/ 1/16 (pow x 2))
(/ (+ (* 1/16 x) (* 1/8 (pow x 2))) (pow x 3))
(/ (+ (* 1/16 x) (* x (+ (* 1/8 x) (* 1/2 (pow x 2))))) (pow x 3))
(/ (+ (* 1/16 (sqrt x)) (* 1/8 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))
(/ (+ (* 1/16 (sqrt x)) (* 1/8 (sqrt (pow x 3)))) (pow x 2))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2))
(* 1/8 (sqrt (/ 1 x)))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(* 1/2 (sqrt x))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
(* 2 (sqrt x))
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 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))))))))
1/2
(* x (+ (* 1/2 (/ 1 x)) (* 1/8 (/ 1 (pow x 2)))))
(* x (+ (/ 1/16 (pow x 3)) (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x)))))
(+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (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)))) (* 2 (* (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)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(* -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)))))))
(* (sqrt x) (pow (sqrt -1) 2))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* -1 (* x (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* -1 (/ (- (* 1/16 (/ 1 (pow x 2))) (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (* 1/2 (/ 1 x)))))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1 (/ (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt (/ 1 x))))
(* -1 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))

Outputs
(* 1/16 (sqrt (/ 1 (pow x 5))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64))
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(- 1 (sqrt x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(* 1/16 (sqrt (/ 1 (pow x 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64))
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (.f64 x x))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 x x))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(+ 1 (sqrt x))
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (+ (sqrt x) (* 1/2 x)))
(fma.f64 #s(literal 1/2 binary64) x (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (+.f64 (sqrt.f64 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 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(* -1 (sqrt x))
(neg.f64 (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
(* 1/2 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1/8 (sqrt (/ 1 (pow x 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 x x))
(* -1/8 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(/ 1/16 (pow x 2))
(/.f64 #s(literal 1/16 binary64) (*.f64 x x))
(/ (+ (* 1/16 x) (* 1/8 (pow x 2))) (pow x 3))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* 1/16 x) (* x (+ (* 1/8 x) (* 1/2 (pow x 2))))) (pow x 3))
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x)) x #s(literal 1/2 binary64))
(/ (+ (* 1/16 (sqrt x)) (* 1/8 (sqrt (pow x 3)))) (pow x 3))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* 1/16 (sqrt x)) (* 1/8 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (.f64 x x))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 x x))
(* 1/8 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64)))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64))))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)
(* 1/2 (sqrt x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x)
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64)))) x)
(* 2 (sqrt x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) x)
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) x)
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 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)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))))) x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) 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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 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)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
1/2
#s(literal 1/2 binary64)
(* x (+ (* 1/2 (/ 1 x)) (* 1/8 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64) #s(literal 1/2 binary64))
(* x (+ (/ 1/16 (pow x 3)) (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x)))))
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x)) x #s(literal 1/2 binary64))
(+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64))))
(* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/8 binary64))) x)
(* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64)))) x)
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64))) x))
(* -1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (neg.f64 x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) #s(literal -5/128 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (neg.f64 x))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/8 binary64))) x)
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64))) x)) x)
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(.f64 (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) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 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)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(.f64 (neg.f64 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)))) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))))))
(* -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 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) 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 (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) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) 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 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (neg.f64 (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)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(* (sqrt x) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 x))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (* x (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (* 1/2 (/ 1 x)))))
(neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64) #s(literal 1/2 binary64))))
(* -1 (* x (- (* -1 (/ (- (* 1/16 (/ 1 (pow x 2))) (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (* 1/2 (/ 1 x)))))
(.f64 (neg.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) x)))) x))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(+ (* -1 (/ (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64))) x))
(* -1 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/8 binary64))) x)
(* -1 (* x (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64))) x)) x)

rewrite273.0ms (3.6%)

Memory

5.7MiB live, 353.0MiB allocated; 153ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	229
0	54	229
1	210	210
2	1443	206
0	8611	198

Stop Event

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

Counts

20 → 700

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (-.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (-.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(.f64 (/.f64 (fma.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal -3 binary64)) (.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))))) (fma.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal -3 binary64)) (.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))))))) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(/.f64 (-.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (fma.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) (.f64 #s(literal 1/4096 binary64) (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))) (neg.f64 x) (.f64 x (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))) x (.f64 x (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))) (neg.f64 (*.f64 x x)))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x) (.f64 x (neg.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (.f64 x (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) (*.f64 x x))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 (neg.f64 x) (-.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (+.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (.f64 (neg.f64 x) (fma.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -9/2 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)))))) (.f64 (neg.f64 x) (+.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (neg.f64 (neg.f64 x)) (.f64 (neg.f64 x) (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))) (*.f64 (neg.f64 x) (neg.f64 (neg.f64 x))))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (.f64 x x) (.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x (.f64 x (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))))) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) (.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/64 binary64) x) (.f64 #s(literal 1/4 binary64) x)))) (.f64 (neg.f64 x) (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/64 binary64) x)) x) (.f64 (neg.f64 x) (fma.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64))))) (.f64 (neg.f64 x) (.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/64 binary64) x)) x)))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (neg.f64 x) (.f64 (neg.f64 x) (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))) (*.f64 x x))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))) x (.f64 (neg.f64 x) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))) (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x (-.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (.f64 x (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(/.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))) (+.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (.f64 x (fma.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -9/2 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)))))) (.f64 x (+.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))))
(/.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))) (neg.f64 (neg.f64 x)) (.f64 x (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))) (*.f64 x (neg.f64 (neg.f64 x))))
(/.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))) (.f64 x x) (.f64 x (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x (.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))) (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) (.f64 x (-.f64 (/.f64 #s(literal 1/64 binary64) x) (.f64 #s(literal 1/4 binary64) x)))) (.f64 x (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)))
(/.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))) (.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/64 binary64) x)) x) (.f64 x (fma.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64))))) (.f64 x (.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/64 binary64) x)) x)))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (neg.f64 x) (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))))) (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 x)))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) x (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))))) (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -9/2 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (neg.f64 x) (.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (neg.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))))) (.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (neg.f64 x)))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -9/2 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)))) x (.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))))) (.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
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(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) x) (-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))))))
(-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/64 binary64) x) (.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))))) (/.f64 (.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3/2 binary64))) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/64 binary64) x) (.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))))))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))))))
(+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))))) (/.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))))))
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))))
(+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) x (.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))))) (/.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) x (.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))))))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) x (.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) x (.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))))))
(+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))))) (/.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))
(+.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))
(+.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))))
(+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/8 binary64))
(/.f64 #s(literal 1/8 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))
(/.f64 #s(literal -1/8 binary64) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 x)))))
(/.f64 #s(literal -1/8 binary64) (neg.f64 (sqrt.f64 x)))
(neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))
(fabs.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))
(fabs.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fabs.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))

eval211.0ms (2.8%)

Memory: 31.7MiB live, 403.3MiB allocated; 116ms collecting garbage
Compiler: Compiled 41 311 to 4 422 computations (89.3% saved)

prune35.0ms (0.5%)

Memory

-17.7MiB live, 83.6MiB allocated; 16ms collecting garbage

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	1 126	7	1 133
Fresh	3	4	7
Picked	4	1	5
Done	3	1	4
Total	1 136	13	1 149

Accuracy

100.0%

Counts

1 149 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.6%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64)))))
✓	6.8%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
	4.6%	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
	6.9%	(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 (asinh.f64 (sqrt.f64 x)))) (/.f64 x (exp.f64 (asinh.f64 (sqrt.f64 x)))))
▶	99.1%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
▶	98.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
	98.5%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/64 binary64) x)) (-.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
	97.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x))
▶	97.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ 1/8 (sqrt x)))) (sqrt x)) #s(literal 1/2 binary64)) (sqrt.f64 x)))
▶	49.5%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (.f64 x x)) (/.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (*.f64 x x))))
✓	97.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
	28.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/16 binary64) x #s(literal -5/128 binary64)))) (pow.f64 x #s(literal 4 binary64)))))
▶	5.5%	#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))

Compiler

Compiled 543 to 398 computations (26.7% saved)

simplify86.0ms (1.1%)

Memory

12.9MiB live, 99.8MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (.f64 x x)) (/.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (*.f64 x x))))
cost-diff	3	(+.f64 (/.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (.f64 x x)) (/.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (*.f64 x x)))
cost-diff	4	(/.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (*.f64 x x))
cost-diff	4	(/.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (.f64 x x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
cost-diff	0	(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
cost-diff	0	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	#s(approx (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ 1/8 (sqrt x)))) (sqrt x)) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 #s(approx (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ 1/8 (sqrt x)))) (sqrt x)) #s(literal 1/2 binary64)) (sqrt.f64 x))
cost-diff	0	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ 1/8 (sqrt x)))) (sqrt x)) #s(literal 1/2 binary64)) (sqrt.f64 x)))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
cost-diff	0	#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
cost-diff	0	(pow.f64 x #s(literal -3/2 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
cost-diff	0	(/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)
cost-diff	0	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	315
0	63	293
1	111	289
2	307	276
3	1073	273
4	5094	273
0	8090	270

Stop Event

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

Calls

Call 1

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

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

localize355.0ms (4.7%)

Memory

0.1MiB live, 237.5MiB allocated; 69ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.3046875	(*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x)
accuracy	0.5513724889886277	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (.f64 x x)) (/.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (*.f64 x x))))
accuracy	11.10778379399313	(/.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (.f64 x x))
accuracy	31.241974939717437	(/.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (*.f64 x x))
accuracy	0.01171875	(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
accuracy	0.2421875	(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
accuracy	0.25390625	(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
accuracy	0.5513724889886277	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.265625	(/.f64 #s(approx (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ 1/8 (sqrt x)))) (sqrt x)) #s(literal 1/2 binary64)) (sqrt.f64 x))
accuracy	1.2472959851766756	#s(approx (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ 1/8 (sqrt x)))) (sqrt x)) #s(literal 1/2 binary64))
accuracy	1.3134067803565823	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ 1/8 (sqrt x)))) (sqrt x)) #s(literal 1/2 binary64)) (sqrt.f64 x)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.00390625	(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
accuracy	51.990804510601166	#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
accuracy	0.01171875	(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
accuracy	0.2421875	(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
accuracy	0.2578125	(/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)
accuracy	0.3512886633897464	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))

Samples

325.0ms	251×	1	valid
1.0ms	5×	0	valid

Compiler

Compiled 242 to 36 computations (85.1% saved)

Precisions

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

ival-add: 99.0ms (45.5% of total)

ival-div: 46.0ms (21.1% of total)

adjust: 35.0ms (16.1% of total)

ival-mult: 15.0ms (6.9% of total)

ival-sqrt: 7.0ms (3.2% of total)

ival-pow: 6.0ms (2.8% of total)

ival-sub: 5.0ms (2.3% of total)

ival-neg: 2.0ms (0.9% of total)

exact: 1.0ms (0.5% of total)

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

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

series19.0ms (0.3%)

Memory

-32.4MiB live, 20.5MiB allocated; 13ms collecting garbage

Counts

19 → 66

Calls

Call 1

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

Outputs
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(* 1/16 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))
(* 1/16 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2))
(sqrt (/ 1 (pow x 3)))
(+ 1 (sqrt x))
(+ 1 (+ (sqrt x) (* 1/2 x)))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
(sqrt x)
(/ (+ (* 1/16 (sqrt x)) (* 1/8 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))
(/ 1/16 (pow x 2))
(/ (+ (* 1/16 x) (* 1/8 (pow x 2))) (pow x 3))
(/ (+ (* 1/16 x) (* x (+ (* 1/8 x) (* 1/2 (pow x 2))))) (pow x 3))
(* -1/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(* -1/8 (sqrt (/ 1 x)))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(* 1/2 (sqrt (/ 1 x)))
(* -1/8 (sqrt x))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))
(* 1/2 (sqrt x))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
(* 2 (sqrt x))
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
(+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
1/2
(* x (+ (* 1/2 (/ 1 x)) (* 1/8 (/ 1 (pow x 2)))))
(* x (+ (/ 1/16 (pow x 3)) (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x)))))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (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)))) (* 2 (* (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)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1 (/ (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt (/ 1 x))))
(* -1 (* x (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* -1 (/ (- (* 1/16 (/ 1 (pow x 2))) (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (* 1/2 (/ 1 x)))))

Calls

3 calls:

Time

Variable

Point

Expression

13.0ms

-inf

((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (pow x -3/2) 1/16) (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x)))) x) (+ (* (pow x -3/2) 1/16) (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x)))) (pow x -3/2) (- (sqrt (+ x 1)) (neg (sqrt x))) (+ (sqrt x) 1) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (/ (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ 1/8 (sqrt x)))) (sqrt x)) (sqrt x)) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ 1/8 (sqrt x)))) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) (/ (* (/ -1/8 (sqrt x)) x) (* x x)) (/ (* x (* (sqrt x) 1/2)) (* x x)) (+ (/ (* (/ -1/8 (sqrt x)) x) (* x x)) (/ (* x (* (sqrt x) 1/2)) (* x x))) (- (sqrt (+ x 1)) (sqrt x)) (/ -1/8 (sqrt x)) (* (/ -1/8 (sqrt x)) x))

3.0ms

((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (pow x -3/2) 1/16) (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x)))) x) (+ (* (pow x -3/2) 1/16) (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x)))) (pow x -3/2) (- (sqrt (+ x 1)) (neg (sqrt x))) (+ (sqrt x) 1) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (/ (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ 1/8 (sqrt x)))) (sqrt x)) (sqrt x)) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ 1/8 (sqrt x)))) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) (/ (* (/ -1/8 (sqrt x)) x) (* x x)) (/ (* x (* (sqrt x) 1/2)) (* x x)) (+ (/ (* (/ -1/8 (sqrt x)) x) (* x x)) (/ (* x (* (sqrt x) 1/2)) (* x x))) (- (sqrt (+ x 1)) (sqrt x)) (/ -1/8 (sqrt x)) (* (/ -1/8 (sqrt x)) x))

2.0ms

inf

((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (pow x -3/2) 1/16) (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x)))) x) (+ (* (pow x -3/2) 1/16) (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x)))) (pow x -3/2) (- (sqrt (+ x 1)) (neg (sqrt x))) (+ (sqrt x) 1) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (/ (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ 1/8 (sqrt x)))) (sqrt x)) (sqrt x)) (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ 1/8 (sqrt x)))) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) (/ (* (/ -1/8 (sqrt x)) x) (* x x)) (/ (* x (* (sqrt x) 1/2)) (* x x)) (+ (/ (* (/ -1/8 (sqrt x)) x) (* x x)) (/ (* x (* (sqrt x) 1/2)) (* x x))) (- (sqrt (+ x 1)) (sqrt x)) (/ -1/8 (sqrt x)) (* (/ -1/8 (sqrt x)) x))

simplify284.0ms (3.7%)

Memory

26.8MiB live, 298.5MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	227	1072
1	715	969
2	2928	940
0	8551	873

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 66

Calls

Call 1

Inputs
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(* 1/16 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))
(* 1/16 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2))
(sqrt (/ 1 (pow x 3)))
(+ 1 (sqrt x))
(+ 1 (+ (sqrt x) (* 1/2 x)))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
(sqrt x)
(/ (+ (* 1/16 (sqrt x)) (* 1/8 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))
(/ 1/16 (pow x 2))
(/ (+ (* 1/16 x) (* 1/8 (pow x 2))) (pow x 3))
(/ (+ (* 1/16 x) (* x (+ (* 1/8 x) (* 1/2 (pow x 2))))) (pow x 3))
(* -1/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(* -1/8 (sqrt (/ 1 x)))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(* 1/2 (sqrt (/ 1 x)))
(* -1/8 (sqrt x))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))
(* 1/2 (sqrt x))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
(* 2 (sqrt x))
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
(+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
1/2
(* x (+ (* 1/2 (/ 1 x)) (* 1/8 (/ 1 (pow x 2)))))
(* x (+ (/ 1/16 (pow x 3)) (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x)))))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (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)))) (* 2 (* (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)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1 (/ (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt (/ 1 x))))
(* -1 (* x (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* -1 (/ (- (* 1/16 (/ 1 (pow x 2))) (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (* 1/2 (/ 1 x)))))

Outputs
(- 1 (sqrt x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(* 1/16 (sqrt (/ 1 (pow x 5))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64))
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(* 1/16 (sqrt (/ 1 (pow x 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64))
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (.f64 x x))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 x x))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(+ 1 (sqrt x))
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (+ (sqrt x) (* 1/2 x)))
(fma.f64 #s(literal 1/2 binary64) x (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(sqrt x)
(sqrt.f64 x)
(/ (+ (* 1/16 (sqrt x)) (* 1/8 (sqrt (pow x 3)))) (pow x 3))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(/ 1/16 (pow x 2))
(/.f64 #s(literal 1/16 binary64) (*.f64 x x))
(/ (+ (* 1/16 x) (* 1/8 (pow x 2))) (pow x 3))
(fma.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x)))
(/ (+ (* 1/16 x) (* x (+ (* 1/8 x) (* 1/2 (pow x 2))))) (pow x 3))
(fma.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))))
(* -1/8 (sqrt (/ 1 (pow x 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 x x))
(* -1/8 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(* 1/2 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(* -1/8 (sqrt x))
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64)))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64))))
(* 1/2 (sqrt x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x)
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64)))) x)
(* 2 (sqrt x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) x)
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) x)
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))))) x)
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x #s(literal 1 binary64))
(+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64))))
1/2
#s(literal 1/2 binary64)
(* x (+ (* 1/2 (/ 1 x)) (* 1/8 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64) #s(literal 1/2 binary64))
(* x (+ (/ 1/16 (pow x 3)) (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x)))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))))
(* -1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) x)
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(/.f64 (fma.f64 #s(literal 5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))) x)
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64)))
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64))) x))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x)
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64))) x)) x)
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 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)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(.f64 (fma.f64 #s(literal -1/16 binary64) (/.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))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(+ (* -1 (/ (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64))) x))
(* -1 (* x (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (* 1/2 (/ 1 x)))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1 (/ (- (* 1/16 (/ 1 (pow x 2))) (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (* 1/2 (/ 1 x)))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))))

rewrite307.0ms (4%)

Memory

-7.1MiB live, 428.6MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	263
0	63	241
1	250	236
2	2037	222
0	9649	219

Stop Event

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

Counts

19 → 1 773

Calls

Call 1

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

Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
(.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (-.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (-.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/256 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))))) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/256 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))))))) (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
(/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 9/2 binary64)))) (fma.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) #s(literal 3 binary64)) (.f64 #s(literal 1/4096 binary64) (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))))))
(/.f64 (+.f64 (neg.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (neg.f64 x)))) (neg.f64 x))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (neg.f64 x))) (neg.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))))) (neg.f64 x))
(/.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))) x)
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) #s(literal 2 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))) (neg.f64 x) (.f64 x (neg.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))) (*.f64 x x))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))) x (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)))
(/.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) #s(literal 2 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/256 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))) (neg.f64 (.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal -9/2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))) (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/256 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))))) x)))
(/.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))) (neg.f64 x) (.f64 x (neg.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))) x (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/256 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
(/.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal -9/2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/256 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))))) x))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (neg.f64 x))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (neg.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (neg.f64 (neg.f64 (sqrt.f64 x)))) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))) x))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (-.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) x (-.f64 (/.f64 #s(literal 1/64 binary64) x) #s(literal -1/16 binary64))) (fma.f64 #s(literal 1/4 binary64) x (-.f64 (/.f64 #s(literal 1/64 binary64) x) #s(literal -1/16 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)))
(fma.f64 (/.f64 (neg.f64 x) x) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)))) x))
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(+.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))) (.f64 (neg.f64 x) x)) (.f64 x (.f64 (neg.f64 x) x))) (/.f64 (.f64 x (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))) (.f64 x (*.f64 (neg.f64 x) x))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))) (.f64 x x)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (.f64 x (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 (.f64 (neg.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 (*.f64 (neg.f64 x) x) x)))
(+.f64 (/.f64 (.f64 (neg.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (/.f64 (.f64 (neg.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 (neg.f64 x) x)) (.f64 (.f64 x x) (.f64 (neg.f64 x) x))) (/.f64 (.f64 (pow.f64 x #s(literal 7/2 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 (neg.f64 x) x))))
(+.f64 (/.f64 (.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1/64 binary64) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (/.f64 (.f64 x (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)))
(+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (/.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)))
(+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64))) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 9/2 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64))) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 (.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 9/2 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64))) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64))) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 7/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 7/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (/.f64 (.f64 x (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (.f64 x x)))
(+.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(+.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal -1/8 binary64) x) (pow.f64 x #s(literal -1/2 binary64))))
(+.f64 (.f64 (/.f64 #s(literal -1/8 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
(+.f64 (.f64 (/.f64 #s(literal -1/8 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal -1/8 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 #s(literal 1/8 binary64) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 x)))))
(/.f64 #s(literal 1/8 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal -1/8 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
(neg.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 x (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 x (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x)
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal -1/8 binary64))
(*.f64 x (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (*.f64 x #s(literal 1/8 binary64))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) x)) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/8 binary64) x))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (*.f64 x #s(literal 1/8 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/8 binary64) x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1/8 binary64) x) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal -1/8 binary64) x) (sqrt.f64 x))

eval682.0ms (9%)

Memory: -352.4MiB live, 478.3MiB allocated; 885ms collecting garbage
Compiler: Compiled 51 183 to 5 306 computations (89.6% saved)

prune105.0ms (1.4%)

Memory

-12.8MiB live, 142.6MiB allocated; 12ms collecting garbage

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	1 667	6	1 673
Fresh	1	5	6
Picked	3	2	5
Done	0	2	2
Total	1 671	15	1 686

Accuracy

100.0%

Counts

1 686 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.6%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64)))))
✓	6.8%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
	4.6%	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
	6.9%	(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 (asinh.f64 (sqrt.f64 x)))) (/.f64 x (exp.f64 (asinh.f64 (sqrt.f64 x)))))
	99.1%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
	98.5%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
	37.0%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 (neg.f64 x) x) (.f64 x (neg.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (.f64 x (.f64 (neg.f64 x) x))))
✓	98.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
	37.0%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (neg.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (.f64 (.f64 (neg.f64 x) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (.f64 (.f64 (neg.f64 x) x) x)))
	97.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x))
✓	97.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ 1/8 (sqrt x)))) (sqrt x)) #s(literal 1/2 binary64)) (sqrt.f64 x)))
	49.5%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (.f64 (sqrt.f64 x) #s(literal -1/8 binary64)) (.f64 x x)) (/.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (*.f64 x x))))
✓	97.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
	28.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/16 binary64) x #s(literal -5/128 binary64)))) (pow.f64 x #s(literal 4 binary64)))))
	5.5%	#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) #s(approx (+ (sqrt x) 1) (sqrt.f64 x)))

Compiler

Compiled 1 048 to 433 computations (58.7% saved)

regimes16.0ms (0.2%)

Memory

28.3MiB live, 28.3MiB allocated; 0ms collecting garbage

Counts

31 → 1

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) #s(approx (+ (sqrt x) 1) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ 1/8 (sqrt x)))) (sqrt x)) #s(literal 1/2 binary64)) (sqrt.f64 x)))
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (.f64 (sqrt.f64 x) #s(literal -1/8 binary64)) (.f64 x x)) (/.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (*.f64 x x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (neg.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (.f64 (.f64 (neg.f64 x) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (.f64 (.f64 (neg.f64 x) x) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 (neg.f64 x) x) (.f64 x (neg.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (.f64 x (.f64 (neg.f64 x) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/64 binary64) x)) (-.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (.f64 x x)) (/.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (*.f64 x x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x (.f64 x (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))))) (*.f64 x x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (sqrt.f64 x)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -5/2 binary64))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/16 binary64) x #s(literal -5/128 binary64)))) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 (asinh.f64 (sqrt.f64 x)))) (/.f64 x (exp.f64 (asinh.f64 (sqrt.f64 x)))))

Outputs

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

Calls

2 calls:

8.0ms	x
6.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
99.1%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
99.1%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes17.0ms (0.2%)

Memory

-14.0MiB live, 31.3MiB allocated; 4ms collecting garbage

Counts

29 → 1

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) #s(approx (+ (sqrt x) 1) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ 1/8 (sqrt x)))) (sqrt x)) #s(literal 1/2 binary64)) (sqrt.f64 x)))
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (.f64 (sqrt.f64 x) #s(literal -1/8 binary64)) (.f64 x x)) (/.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (*.f64 x x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (neg.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (.f64 (.f64 (neg.f64 x) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (.f64 (.f64 (neg.f64 x) x) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 (neg.f64 x) x) (.f64 x (neg.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (.f64 x (.f64 (neg.f64 x) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/64 binary64) x)) (-.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (.f64 x x)) (/.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (*.f64 x x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x (.f64 x (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))))) (*.f64 x x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (sqrt.f64 x)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -5/2 binary64))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/16 binary64) x #s(literal -5/128 binary64)))) (pow.f64 x #s(literal 4 binary64)))))

Outputs

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

Calls

2 calls:

10.0ms	x
5.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
99.1%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
99.1%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes10.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB allocated; 0ms collecting garbage

Counts

19 → 1

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) #s(approx (+ (sqrt x) 1) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* (sqrt x) 1/2) (+ (* 1/16 (pow x -3/2)) (/ 1/8 (sqrt x)))) (sqrt x)) #s(literal 1/2 binary64)) (sqrt.f64 x)))
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 (pow x 5))) -5/128) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (.f64 (sqrt.f64 x) #s(literal -1/8 binary64)) (.f64 x x)) (/.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (*.f64 x x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (neg.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (.f64 (.f64 (neg.f64 x) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (.f64 (.f64 (neg.f64 x) x) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 (neg.f64 x) x) (.f64 x (neg.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (.f64 x (.f64 (neg.f64 x) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/64 binary64) x)) (-.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.7%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.7%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes9.0ms (0.1%)

Memory

-29.1MiB live, 15.7MiB allocated; 3ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
3.0ms	x

Results

Accuracy	Segments	Branch
97.8%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
97.8%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
2.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
97.7%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
97.7%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Accuracy

Total -2.5b remaining (-4.1%)

Threshold costs -2.5b (-4.1%)

Counts

5 → 1

Calls

Call 1

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

Outputs
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) #s(approx (+ (sqrt x) 1) (sqrt.f64 x)))

Calls

2 calls:

2.0ms	x
1.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
5.5%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
5.5%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify98.0ms (1.3%)

Memory

-6.3MiB live, 39.0MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	55	141
1	72	141
2	103	140
3	174	137
4	331	137
5	557	137
6	1343	136
7	2645	136
8	4179	136
9	5482	136
10	6084	136
11	6506	136
12	7018	136
13	7656	136

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations1.2s (15.7%)

Memory

11.5MiB live, 951.1MiB allocated; 128ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	227	1072
1	715	969
2	2928	940
0	8551	873
0	36	235
0	60	200
1	233	183
2	1662	183
0	9877	177
0	113	451
1	331	393
2	1209	387
3	4903	387
0	8229	353
0	259	1456
1	846	1286
2	3606	1256
0	8701	1166
0	42	263
0	63	241
1	250	236
2	2037	222
0	9649	219
0	33	229
0	54	229
1	210	210
2	1443	206
0	8611	198

Stop Event

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

Compiler

Compiled 141 to 58 computations (58.9% saved)

preprocess68.0ms (0.9%)

Memory: 33.8MiB live, 127.5MiB allocated; 18ms collecting garbage
Compiler: Compiled 306 to 138 computations (54.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze2.0ms (0%)

sample1.7s (22.7%)

explain127.0ms (1.7%)

preprocess15.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize37.0ms (0.5%)

series5.0ms (0.1%)

simplify182.0ms (2.4%)

rewrite171.0ms (2.2%)

eval32.0ms (0.4%)

prune14.0ms (0.2%)

simplify127.0ms (1.7%)

localize206.0ms (2.7%)

series27.0ms (0.4%)

simplify158.0ms (2.1%)

rewrite199.0ms (2.6%)

eval187.0ms (2.5%)

prune99.0ms (1.3%)

simplify100.0ms (1.3%)

localize222.0ms (2.9%)

series40.0ms (0.5%)

simplify159.0ms (2.1%)

rewrite273.0ms (3.6%)

eval211.0ms (2.8%)

prune35.0ms (0.5%)

simplify86.0ms (1.1%)

localize355.0ms (4.7%)

series19.0ms (0.3%)

simplify284.0ms (3.7%)

rewrite307.0ms (4%)

eval682.0ms (9%)

prune105.0ms (1.4%)

regimes16.0ms (0.2%)

regimes17.0ms (0.2%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

simplify98.0ms (1.3%)

derivations1.2s (15.7%)

preprocess68.0ms (0.9%)

end0.0ms (0%)

Profiling