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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 10 to 8 computations (20% saved)

sample880.0ms (14.5%)

Memory

-12.2MiB live, 579.4MiB allocated

Samples

555.0ms	8 254×	0	valid
0.0ms	2×	2	valid
0.0ms	4×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 330.0ms

ival-add: 154.0ms (46.7% of total)

ival-div: 82.0ms (24.8% of total)

ival-sqrt: 81.0ms (24.5% of total)

ival-true: 6.0ms (1.8% of total)

exact: 5.0ms (1.5% of total)

ival-assert: 3.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain78.0ms (1.3%)

Memory

16.6MiB live, 138.7MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

27.0ms

512×

valid

Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions

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

ival-div: 6.0ms (37.9% of total)

ival-add: 5.0ms (31.6% of total)

ival-sqrt: 4.0ms (25.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess67.0ms (1.1%)

Memory

-18.1MiB live, 19.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	23	17
2	51	16
3	110	16
4	222	16
5	342	16
6	373	16
7	387	16
8	400	16
0	6	8
0	10	8
1	14	8
0	14	8

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

simplify3.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.4%)

Memory

-1.0MiB live, 36.4MiB allocated

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	0.01171875	(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
accuracy	0.16796875	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Samples

16.0ms

256×

valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

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

ival-add: 6.0ms (55.8% of total)

ival-div: 2.0ms (18.6% of total)

ival-sqrt: 2.0ms (18.6% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

4 → 36

Calls

Call 1

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

Outputs
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
2
(+ 2 (* 1/2 x))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(+ 2 (* 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 x)
(sqrt x)
(- (sqrt x) 1)
(- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)
(- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
(* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
(* 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 (sqrt x))
(+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* 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	((/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
2.0ms	x	@	inf	((/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
0.0ms	x	@	0	((/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

Time

Variable

Point

Expression

2.0ms

-inf

((/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

2.0ms

inf

((/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

0.0ms

((/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

simplify230.0ms (3.8%)

Memory

-38.5MiB live, 223.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	571
1	485	476
2	1643	454
3	5572	443
0	8344	400

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 35

Calls

Call 1

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

rewrite173.0ms (2.9%)

Memory

16.8MiB live, 210.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	21
0	10	21
1	46	21
2	315	20
3	3405	20
0	8283	20

Stop Event

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

Counts

4 → 474

Calls

Call 1

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

Outputs
(.f64 (/.f64 x (+.f64 x #s(literal 0 binary64))) (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64))))
(*.f64 (/.f64 x x) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (neg.f64 x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x))
(*.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))))
(.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x))
(*.f64 (/.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(*.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) (pow.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) x)
(*.f64 (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 x (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (log.f64 x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (+.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (/.f64 (neg.f64 x) x) (neg.f64 x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (+.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (.f64 (neg.f64 x) (+.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 x (neg.f64 x)) (.f64 (neg.f64 x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 x (+.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x) (neg.f64 x))
(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (neg.f64 x) x) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(/.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))
(/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)))
(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 9/2 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (expm1.f64 (.f64 #s(literal 3/2 binary64) (log1p.f64 x))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (neg.f64 x) x) #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 x) x) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 (neg.f64 x) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 x (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 (neg.f64 x) x)))
(fma.f64 x (pow.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (log.f64 x)) #s(literal -1 binary64)))
(+.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64)))) (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 (neg.f64 x) x) #s(literal 1 binary64)) (.f64 (/.f64 (neg.f64 x) x) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (/.f64 (neg.f64 x) x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 (neg.f64 x) x)))
(+.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64)))))
(+.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (+.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
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(/.f64 (sqrt.f64 (.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.f64 (.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 (log1p.f64 x))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (*.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (sqrt.f64 (.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (exp.f64 (neg.f64 (log1p.f64 x))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (sqrt.f64 (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (exp.f64 (neg.f64 (log1p.f64 x))))))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (sqrt.f64 (.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (exp.f64 (log1p.f64 (*.f64 (neg.f64 x) x))) (exp.f64 (log1p.f64 (neg.f64 x))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (exp.f64 (log1p.f64 (neg.f64 x))))
(/.f64 (exp.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (pow.f64 x #s(literal 3 binary64))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64)))) (exp.f64 (log.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (exp.f64 (log1p.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) 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 (.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 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 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 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.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 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 (log1p.f64 x)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (exp.f64 (neg.f64 (log1p.f64 x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 x))))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (exp.f64 (neg.f64 (log1p.f64 x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 x))))
(neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 x x) (-.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)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fabs.f64 (-.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(fabs.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))))
(fabs.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(fabs.f64 (+.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64)))
(exp.f64 (log1p.f64 x))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval83.0ms (1.4%)

Memory: 1.8MiB live, 159.5MiB allocated
Compiler: Compiled 9 860 to 2 140 computations (78.3% saved)

prune13.0ms (0.2%)

Memory

11.8MiB live, 48.5MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	498	9	507
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	498	10	508

Accuracy

100.0%

Counts

508 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.3%	(/.f64 (.f64 x (neg.f64 x)) (.f64 (neg.f64 x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	63.8%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))))
▶	65.5%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
	42.2%	(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
	36.0%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
▶	64.8%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
▶	63.1%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
▶	64.5%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
	36.4%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 246 to 182 computations (26% saved)

simplify10.0ms (0.2%)

Memory

-31.9MiB live, 17.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	163
0	38	163
1	53	163
2	71	163
3	116	163
4	152	163
5	155	163
0	155	163

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize51.0ms (0.8%)

Memory

10.6MiB live, 124.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))
accuracy	0.0	(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
accuracy	0.16796875	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))))
accuracy	23.508126635048143	#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
accuracy	0.0	(fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64))
accuracy	0.0	(fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))
accuracy	0.0390625	(*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x)
accuracy	22.514788466925978	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
accuracy	0.0	(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
accuracy	0.015625	(*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)
accuracy	23.60541712436207	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	22.715805162417606	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
accuracy	0.16796875	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
accuracy	22.062127856904596	#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))

Samples

36.0ms

256×

valid

Compiler

Compiled 129 to 23 computations (82.2% saved)

Precisions

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

ival-add: 8.0ms (38.6% of total)

ival-mult: 8.0ms (38.6% of total)

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

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

exact: 1.0ms (4.8% of total)

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

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

series7.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Counts

15 → 47

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* 1/2 x) 2) (/ x (+ 1 (sqrt (+ x 1)))) (* 1/2 x) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) (+ (* (+ (* 1/16 x) -1/8) x) 1/2) (+ (* 1/16 x) -1/8) (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* (+ (* -1/8 x) 1/2) x) 2))
2.0ms	x	@	inf	((/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* 1/2 x) 2) (/ x (+ 1 (sqrt (+ x 1)))) (* 1/2 x) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) (+ (* (+ (* 1/16 x) -1/8) x) 1/2) (+ (* 1/16 x) -1/8) (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* (+ (* -1/8 x) 1/2) x) 2))
1.0ms	x	@	0	((/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* 1/2 x) 2) (/ x (+ 1 (sqrt (+ x 1)))) (* 1/2 x) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) (+ (* (+ (* 1/16 x) -1/8) x) 1/2) (+ (* 1/16 x) -1/8) (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* (+ (* -1/8 x) 1/2) x) 2))

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

simplify285.0ms (4.7%)

Memory

-3.4MiB live, 234.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	509
1	497	442
2	1672	419
3	5210	411
0	8333	364

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 47

Calls

Call 1

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

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

rewrite175.0ms (2.9%)

Memory

14.6MiB live, 208.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	143
0	38	143
1	158	143
2	1068	143
0	8267	143

Stop Event

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

Counts

15 → 359

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (/.f64 #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) x) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal -1 binary64)) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(*.f64 x (pow.f64 #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) (neg.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) x))
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))))
(neg.f64 (/.f64 (neg.f64 x) #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))) (/.f64 (neg.f64 x) #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(*.f64 #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(/.f64 (neg.f64 #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 2 binary64))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 4 binary64) x)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (neg.f64 x)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 8 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 4 binary64) x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -2 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -2 binary64)))) (.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 2 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -2 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 2 binary64))) (.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -4 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 4 binary64) x)))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -2 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64) #s(literal -64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (+.f64 #s(literal 16 binary64) (*.f64 x x))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -2 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64) #s(literal -64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -8 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 4 binary64) x))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/512 binary64) #s(literal 512 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64) (-.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 4 binary64) x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -4 binary64))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 8 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 4 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -4 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -2 binary64)))
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(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 4 binary64)) #s(literal 16 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 6 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 4 binary64)) (+.f64 #s(literal 16 binary64) (.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 6 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 9 binary64)) #s(literal 512 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 6 binary64)) (-.f64 #s(literal 64 binary64) (.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 8 binary64)))) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -2 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -2 binary64)) #s(literal 4 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -2 binary64)))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 8 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 x x) #s(literal -1/4 binary64)) x) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) x) (pow.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/16 binary64) x))) #s(literal -1 binary64)) #s(literal 2 binary64))
(fma.f64 (.f64 x (fma.f64 #s(literal 1/64 binary64) (.f64 x x) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))
(fma.f64 (.f64 x (fma.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (pow.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/16 binary64) x))) #s(literal -1 binary64)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -2 binary64)))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))
(fma.f64 x (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -2 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -2 binary64)))))
(+.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))

eval84.0ms (1.4%)

Memory: -0.7MiB live, 123.5MiB allocated
Compiler: Compiled 12 539 to 1 766 computations (85.9% saved)

prune12.0ms (0.2%)

Memory

3.0MiB live, 40.4MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	435	2	437
Fresh	0	4	4
Picked	2	3	5
Done	0	1	1
Total	437	10	447

Accuracy

100.0%

Counts

447 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.3%	(/.f64 (.f64 x (neg.f64 x)) (.f64 (neg.f64 x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	42.2%	(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
▶	64.8%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) x (.f64 #s(literal 1/2 binary64) x)))
▶	63.1%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (.f64 #s(literal -1/8 binary64) x) x (.f64 #s(literal 1/2 binary64) x)))
▶	36.0%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
✓	64.8%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
✓	63.1%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
✓	64.5%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
▶	36.4%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 217 to 157 computations (27.6% saved)

simplify72.0ms (1.2%)

Memory

9.6MiB live, 47.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	139
0	40	135
1	68	134
2	99	134
3	150	134
4	225	134
5	248	134
6	271	134
7	292	134
8	322	134
9	382	134
10	635	134
11	1571	134
12	2055	134
13	2816	134
14	2820	134
15	2820	134
16	2821	134
0	2821	130

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize116.0ms (1.9%)

Memory

-10.8MiB live, 198.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(literal 1 binary64) x)
accuracy	0.0	(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
accuracy	0.0	(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
accuracy	18.070721366613903	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
accuracy	0.0	(fma.f64 (.f64 #s(literal -1/8 binary64) x) x (.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.0	(*.f64 #s(literal -1/8 binary64) x)
accuracy	23.46145078716494	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (.f64 #s(literal -1/8 binary64) x) x (.f64 #s(literal 1/2 binary64) x)))
accuracy	0.0	(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	20.205606989771393	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
accuracy	0.0	(sqrt.f64 x)
accuracy	19.93982415475342	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.00390625	(*.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x)
accuracy	0.01953125	(fma.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) x (.f64 #s(literal 1/2 binary64) x))
accuracy	22.421353593706698	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) x (.f64 #s(literal 1/2 binary64) x)))

Samples

53.0ms	83×	0	invalid
21.0ms	97×	0	valid
13.0ms	28×	2	valid
13.0ms	48×	1	valid

Compiler

Compiled 117 to 26 computations (77.8% saved)

Precisions

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

ival-sqrt: 15.0ms (33.9% of total)

ival-add: 9.0ms (20.4% of total)

ival-mult: 9.0ms (20.4% of total)

adjust: 5.0ms (11.3% of total)

ival-sub: 3.0ms (6.8% of total)

ival-div: 2.0ms (4.5% of total)

ival-neg: 1.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.4%)

Memory

-23.5MiB live, 14.7MiB allocated

Counts

16 → 59

Calls

Call 1

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

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

17.0ms

inf

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

3.0ms

-inf

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

1.0ms

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

simplify293.0ms (4.8%)

Memory

8.4MiB live, 237.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	224	826
1	666	712
2	2292	674
3	6544	666
0	8363	619

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 58

Calls

Call 1

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

rewrite223.0ms (3.7%)

Memory

9.8MiB live, 300.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	122
0	40	118
1	169	117
2	1140	117
0	8344	113

Stop Event

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

Counts

16 → 500

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x) x) (/.f64 (*.f64 x (fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x #s(literal -1/2 binary64))) (fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x #s(literal -1/2 binary64))))
(.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (pow.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x) x))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x #s(literal -1/2 binary64))))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x) x)))))))
(*.f64 (fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x)
(.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (pow.f64 (.f64 x (fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 1/2 binary64)) x)))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x) x)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 x (fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 2 binary64)) (.f64 x (fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 2 binary64)) (.f64 x (fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 2 binary64)) (.f64 x (fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x #s(literal -1/2 binary64)))) (fma.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x #s(literal -1/2 binary64)))) (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x #s(literal -1/2 binary64)))) (.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 2 binary64)) (.f64 x (fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x #s(literal -1/2 binary64)))) (.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (pow.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x))))) (neg.f64 (neg.f64 (*.f64 x (fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x) x)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x (fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x #s(literal -1/2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) (*.f64 x (fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x #s(literal -1/2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x) x))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 9 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 6 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)) (.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x) x) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (fma.f64 (pow.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) x) x))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 x (-.f64 (sqrt.f64 x) #s(literal -1 binary64))) (/.f64 x (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 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) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(fabs.f64 (+.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)))
(exp.f64 (log1p.f64 x))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval118.0ms (2%)

Memory: 10.0MiB live, 130.9MiB allocated
Compiler: Compiled 14 722 to 2 323 computations (84.2% saved)

prune37.0ms (0.6%)

Memory

1.1MiB live, 38.6MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	565	2	567
Fresh	1	0	1
Picked	1	4	5
Done	0	4	4
Total	567	10	577

Accuracy

100.0%

Counts

577 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.0%	(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	42.2%	(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
✓	64.8%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) x (.f64 #s(literal 1/2 binary64) x)))
✓	63.1%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (.f64 #s(literal -1/8 binary64) x) x (.f64 #s(literal 1/2 binary64) x)))
✓	36.0%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
✓	64.8%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
✓	63.1%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
✓	64.5%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
✓	36.4%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 133 to 97 computations (27.1% saved)

simplify426.0ms (7%)

Memory

-10.7MiB live, 185.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
cost-diff	2	(neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
cost-diff	3	(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
cost-diff	0	(+.f64 #s(literal 1 binary64) x)
cost-diff	0	(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
cost-diff	0	(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	55
0	17	46
1	30	44
2	67	42
3	161	42
4	498	42
5	1416	42
6	2799	42
7	3746	42
8	4079	42
9	4159	42
10	4190	42
11	4211	42
12	4650	42
13	5328	42
14	6299	42
15	6501	42
16	6747	42
17	6769	42
18	6769	42
19	7067	42
0	8971	42

Stop Event

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

Calls

Call 1

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

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

localize116.0ms (1.9%)

Memory

-12.7MiB live, 113.1MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
accuracy	0.01171875	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
accuracy	0.16796875	(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
accuracy	36.96117782541447	(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
accuracy	0.0	(+.f64 #s(literal 1 binary64) x)
accuracy	0.0	(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
accuracy	36.9769226899126	(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))

Samples

59.0ms	102×	0	valid
37.0ms	106×	1	valid
11.0ms	48×	2	valid

Compiler

Compiled 57 to 12 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-add: 22.0ms (58.8% of total)

adjust: 5.0ms (13.4% of total)

ival-sqrt: 4.0ms (10.7% of total)

ival-div: 3.0ms (8% of total)

ival-sub: 2.0ms (5.3% of total)

ival-neg: 2.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

7 → 43

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

((+ -1 (sqrt (+ 1 x))) (sqrt (+ 1 x)) (+ 1 x) (- 1 (+ 1 x)) (neg (- 1 (+ 1 x))) (/ (neg (- 1 (+ 1 x))) (+ (sqrt (+ 1 x)) 1)) (+ (sqrt (+ 1 x)) 1))

0.0ms

inf

((+ -1 (sqrt (+ 1 x))) (sqrt (+ 1 x)) (+ 1 x) (- 1 (+ 1 x)) (neg (- 1 (+ 1 x))) (/ (neg (- 1 (+ 1 x))) (+ (sqrt (+ 1 x)) 1)) (+ (sqrt (+ 1 x)) 1))

0.0ms

((+ -1 (sqrt (+ 1 x))) (sqrt (+ 1 x)) (+ 1 x) (- 1 (+ 1 x)) (neg (- 1 (+ 1 x))) (/ (neg (- 1 (+ 1 x))) (+ (sqrt (+ 1 x)) 1)) (+ (sqrt (+ 1 x)) 1))

simplify416.0ms (6.9%)

Memory

13.2MiB live, 211.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	183	703
1	557	587
2	1907	554
3	7428	554
0	8799	504

Stop Event

1×	iter limit
1×	node limit

Counts

43 → 42

Calls

Call 1

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

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

rewrite440.0ms (7.3%)

Memory

1.0MiB live, 242.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	43
0	17	32
1	82	30
2	654	28
0	8704	26

Stop Event

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

Counts

7 → 904

Calls

Call 1

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

Outputs
(.f64 (.f64 (/.f64 x x) (/.f64 x x)) (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))))
(.f64 (.f64 (/.f64 x x) (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(.f64 (.f64 (/.f64 x x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) x)) x)
(.f64 (.f64 (/.f64 x x) (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 3/2 binary64)))) (pow.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 x x) x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) x))
(.f64 (.f64 (/.f64 x x) (neg.f64 x)) (pow.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 x x) #s(literal 1 binary64)) (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 x x)) (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 3/2 binary64)))) (pow.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(.f64 (.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 x))) (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))))
(.f64 (.f64 (/.f64 x x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(.f64 (.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) x) #s(literal -1 binary64)) (neg.f64 x))
(.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (/.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64))) (pow.f64 (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (/.f64 (neg.f64 x) (pow.f64 (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 x) (pow.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 x x) (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64))))
(*.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) x))
(.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) x))
(*.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(.f64 (neg.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64))) x) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64))) x) x)
(.f64 (pow.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64))) (pow.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))))
(.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 3/2 binary64))) (pow.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))
(.f64 x (/.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64))) x))
(.f64 (neg.f64 x) (.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) x)))
(*.f64 (neg.f64 x) (pow.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 9/2 binary64))) (pow.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))
(/.f64 (.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64))) x)) (*.f64 x x))
(/.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))) (.f64 x x))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))) (+.f64 #s(literal -2 binary64) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))) (pow.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))) (+.f64 #s(literal 2 binary64) x))
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(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (expm1.f64 (.f64 (log1p.f64 x) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (log1p.f64 x) #s(literal 3/2 binary64)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64))) x)) (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 x)) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 x x) (/.f64 (+.f64 x #s(literal 1 binary64)) (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64))) x)) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64)))) (pow.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64)))))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))

eval298.0ms (4.9%)

Memory: -8.5MiB live, 216.7MiB allocated
Compiler: Compiled 23 091 to 3 009 computations (87% saved)

prune50.0ms (0.8%)

Memory

5.6MiB live, 56.6MiB allocated

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	1 049	4	1 053
Fresh	0	0	0
Picked	1	1	2
Done	0	8	8
Total	1 050	13	1 063

Accuracy

100.0%

Counts

1 063 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.0%	(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	42.2%	(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
	5.5%	(+.f64 #s(literal -1 binary64) #s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
	7.7%	(+.f64 #s(literal -1 binary64) #s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
	4.2%	(+.f64 #s(literal -1 binary64) #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)))
✓	64.8%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) x (.f64 #s(literal 1/2 binary64) x)))
✓	63.1%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (.f64 #s(literal -1/8 binary64) x) x (.f64 #s(literal 1/2 binary64) x)))
✓	36.0%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
✓	64.8%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
✓	63.1%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
✓	64.5%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
✓	36.4%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 393 to 193 computations (50.9% saved)

regimes17.0ms (0.3%)

Memory

-18.7MiB live, 19.1MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	x
5.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes9.0ms (0.2%)

Memory

15.0MiB live, 15.0MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.8%	2	`x`
99.8%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes9.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.8%	2	`x`
99.8%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes33.0ms (0.6%)

Memory

-27.4MiB live, 10.6MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

30.0ms	x
3.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
99.7%	2	`x`
99.7%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes6.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.2%	2	`x`
98.2%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes6.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.2%	2	`x`
98.2%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes5.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.1%	2	`x`
97.1%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.1%	2	`x`
96.1%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
64.5%	1	`x`
64.5%	1	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes117.0ms (1.9%)

Memory

-32.7MiB live, 5.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

116.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
1.0ms	x

Results

Accuracy	Segments	Branch
4.2%	1	`x`
4.2%	1	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.928646716992039e-9	0.0014625833327058207

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.928646716992039e-9	0.0014625833327058207

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.928646716992039e-9	0.0014625833327058207

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0014625833327058207	5.8436969481790735

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0014625833327058207	5.8436969481790735

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0014625833327058207	5.8436969481790735

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0014625833327058207	5.8436969481790735

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify11.0ms (0.2%)

Memory

11.5MiB live, 11.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	285
1	57	285
2	60	285
3	65	285

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3022314549036573/302231454903657293676544 binary64)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) x (.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3022314549036573/302231454903657293676544 binary64)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.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 (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3022314549036573/302231454903657293676544 binary64)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (.f64 #s(literal -1/8 binary64) x) x (.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (.f64 #s(literal -1/8 binary64) x) x (.f64 #s(literal 1/2 binary64) x))) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal -1 binary64) #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)))

Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3022314549036573/302231454903657293676544 binary64)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) x (.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3022314549036573/302231454903657293676544 binary64)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.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 (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3022314549036573/302231454903657293676544 binary64)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (.f64 #s(literal -1/8 binary64) x) x (.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (.f64 #s(literal -1/8 binary64) x) x (.f64 #s(literal 1/2 binary64) x))) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)))
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal -1 binary64) #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)))

soundness975.0ms (16.1%)

Memory

-16.8MiB live, 702.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	571
1	485	476
2	1643	454
3	5572	443
0	8344	400
0	183	703
1	557	587
2	1907	554
3	7428	554
0	8799	504
0	25	122
0	40	118
1	169	117
2	1140	117
0	8344	113
0	6	21
0	10	21
1	46	21
2	315	20
3	3405	20
0	8283	20
0	25	143
0	38	143
1	158	143
2	1068	143
0	8267	143

Stop Event

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

Compiler

Compiled 536 to 223 computations (58.4% saved)

preprocess45.0ms (0.7%)

Memory: 24.9MiB live, 101.9MiB allocated
Compiler: Compiled 586 to 116 computations (80.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	21
1	23	17
2	51	16
3	110	16
4	222	16
5	342	16
6	373	16
7	387	16
8	400	16
0	6	8
0	10	8
1	14	8
0	14	8

Iter	Nodes	Cost
0	8	21
1	23	17
2	51	16
3	110	16
4	222	16
5	342	16
6	373	16
7	387	16
8	400	16
0	6	8
0	10	8
1	14	8
0	14	8

start0.0ms (0%)

analyze1.0ms (0%)

sample880.0ms (14.5%)

explain78.0ms (1.3%)

preprocess67.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize21.0ms (0.4%)

series5.0ms (0.1%)

simplify230.0ms (3.8%)

rewrite173.0ms (2.9%)

eval83.0ms (1.4%)

prune13.0ms (0.2%)

simplify10.0ms (0.2%)

localize51.0ms (0.8%)

series7.0ms (0.1%)

simplify285.0ms (4.7%)

rewrite175.0ms (2.9%)

eval84.0ms (1.4%)

prune12.0ms (0.2%)

simplify72.0ms (1.2%)

localize116.0ms (1.9%)

series22.0ms (0.4%)

simplify293.0ms (4.8%)

rewrite223.0ms (3.7%)

eval118.0ms (2%)

prune37.0ms (0.6%)

simplify426.0ms (7%)

localize116.0ms (1.9%)

series2.0ms (0%)

simplify416.0ms (6.9%)

rewrite440.0ms (7.3%)

eval298.0ms (4.9%)

prune50.0ms (0.8%)

regimes17.0ms (0.3%)

regimes9.0ms (0.2%)

regimes9.0ms (0.1%)

regimes33.0ms (0.6%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes117.0ms (1.9%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify11.0ms (0.2%)

soundness975.0ms (16.1%)

preprocess45.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	21
1	23	17
2	51	16
3	110	16
4	222	16
5	342	16
6	373	16
7	387	16
8	400	16
0	6	8
0	10	8
1	14	8
0	14	8