Metrics for Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze8.0ms (0.2%)

Memory

13.2MiB live, 13.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
66.7%	50%	25%	0.1%	0%	25%	0%	4
66.7%	50%	25%	0.1%	0%	25%	0%	5
80%	50%	12.5%	0.1%	0%	37.5%	0%	6
80%	50%	12.5%	0.1%	0%	37.5%	0%	7
88.9%	50%	6.2%	0.1%	0%	43.7%	0%	8
88.9%	50%	6.2%	0.1%	0%	43.7%	0%	9
94.1%	50%	3.1%	0.1%	0%	46.8%	0%	10
94.1%	50%	3.1%	0.1%	0%	46.8%	0%	11
97%	50%	1.6%	0.1%	0%	48.4%	0%	12

Compiler

Compiled 10 to 9 computations (10% saved)

sample710.0ms (13.8%)

Memory

14.8MiB live, 822.0MiB allocated

Samples

407.0ms	8 255×	0	valid
13.0ms	261×	0	invalid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 224.0ms

ival-mult: 59.0ms (26.3% of total)

ival-sqrt: 59.0ms (26.3% of total)

ival-sub: 56.0ms (25% of total)

ival-add: 35.0ms (15.6% of total)

ival-true: 6.0ms (2.7% of total)

exact: 5.0ms (2.2% of total)

ival-assert: 4.0ms (1.8% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain95.0ms (1.8%)

Memory

-16.3MiB live, 116.4MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	1	255

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

26.0ms

512×

valid

Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions

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

ival-sqrt: 4.0ms (31.1% of total)

ival-sub: 3.0ms (23.3% of total)

ival-mult: 3.0ms (23.3% of total)

ival-add: 2.0ms (15.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess45.0ms (0.9%)

Memory

3.3MiB live, 41.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	48
1	54	43
2	160	42
3	437	42
4	894	42
5	1126	42
6	1251	42
7	1277	42
0	7	8
0	11	8
1	19	8
2	38	8
3	65	8
4	129	8
5	247	8
6	395	8
7	448	8
8	478	8
0	478	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify12.0ms (0.2%)

Memory

17.1MiB live, 17.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 y (sqrt.f64 x))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	128	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	19	20
2	38	20
3	65	20
4	129	20
5	247	20
6	395	20
7	448	20
8	478	20
0	478	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize27.0ms (0.5%)

Memory

-27.8MiB live, 28.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0	(sqrt.f64 x)
accuracy	0.018361092648988643	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
accuracy	0.19921875	(*.f64 y (sqrt.f64 x))

Samples

22.0ms

256×

valid

Compiler

Compiled 42 to 16 computations (61.9% saved)

Precisions

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

ival-sqrt: 9.0ms (56.7% of total)

ival-sub: 4.0ms (25.2% of total)

ival-mult: 2.0ms (12.6% of total)

ival-add: 1.0ms (6.3% 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

6.8MiB live, 6.8MiB allocated

Counts

4 → 19

Calls

Call 1

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

Outputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
1
(+ 1 (* -1 x))
(* (sqrt x) y)
(sqrt x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))

Calls

6 calls:

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

simplify254.0ms (4.9%)

Memory

4.5MiB live, 114.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	113
1	141	113
2	443	109
3	1376	109
4	4940	109
5	7671	109
0	8254	98

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 19

Calls

Call 1

Inputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
1
(+ 1 (* -1 x))
(* (sqrt x) y)
(sqrt x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))

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

rewrite197.0ms (3.8%)

Memory

-5.1MiB live, 199.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	11	17
1	46	17
2	357	17
3	5361	17
0	9022	16

Stop Event

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

Counts

4 → 252

Calls

Call 1

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

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

eval50.0ms (1%)

Memory: 22.9MiB live, 59.2MiB allocated
Compiler: Compiled 5 449 to 752 computations (86.2% saved)

prune11.0ms (0.2%)

Memory

-9.4MiB live, 27.0MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	253	9	262
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	254	9	263

Accuracy

100.0%

Counts

263 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
	74.5%	(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (neg.f64 (/.f64 (.f64 (.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))
▶	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
	61.9%	(/.f64 (-.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x))
▶	99.8%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
▶	99.8%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
	67.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
▶	61.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	66.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))

Compiler

Compiled 266 to 184 computations (30.8% saved)

simplify51.0ms (1%)

Memory

1.3MiB live, 37.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	128	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
cost-diff	12288	(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
cost-diff	5760	(pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
cost-diff	0	(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	147
0	40	134
1	62	132
2	109	131
3	218	131
4	362	131
5	601	131
6	1018	131
7	1344	131
8	1445	131
9	1490	131
10	1518	131
11	1537	131
12	1538	131
0	1538	131

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
x
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
x
y
(-.f64 #s(literal 1 binary64) x)
#s(literal -1 binary64)
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
y
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal 2 binary64)

Outputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
x
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
x
y
(-.f64 #s(literal 1 binary64) x)
#s(literal -1 binary64)
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) y)
y
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 x)
(pow.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal 2 binary64)

localize133.0ms (2.6%)

Memory

-19.0MiB live, 105.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.018361092648988643	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
accuracy	0.19921875	(*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
accuracy	0.4817962890737681	(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.07157003162065376	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
accuracy	0.1484375	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
accuracy	0.8450521356380872	(pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
accuracy	0.08984375	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	0.13407003162065376	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
accuracy	3.2049279440632046	(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
accuracy	18.31585553626106	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	24.695116575279236	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0	(sqrt.f64 x)
accuracy	0.07157003162065376	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

Samples

88.0ms

256×

valid

Compiler

Compiled 288 to 51 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-add: 39.0ms (57.9% of total)

ival-pow: 10.0ms (14.8% of total)

ival-mult: 7.0ms (10.4% of total)

ival-sqrt: 4.0ms (5.9% of total)

ival-div: 3.0ms (4.5% of total)

ival-pow2: 2.0ms (3% of total)

ival-sub: 1.0ms (1.5% of total)

exact: 1.0ms (1.5% of total)

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

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

series14.0ms (0.3%)

Memory

27.6MiB live, 27.6MiB allocated

Counts

13 → 55

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
(-.f64 #s(literal 1 binary64) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))

Outputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(sqrt x)
1
(+ 1 (* -1 x))
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(sqrt (/ 1 x))
(/ 1 (+ 1 (* (sqrt x) y)))
(+ (/ 1 (+ 1 (* (sqrt x) y))) (/ x (pow (+ 1 (* (sqrt x) y)) 2)))
(+ (* x (+ (/ 1 (pow (+ 1 (* (sqrt x) y)) 2)) (/ x (pow (+ 1 (* (sqrt x) y)) 3)))) (/ 1 (+ 1 (* (sqrt x) y))))
(+ (* x (+ (* x (+ (/ 1 (pow (+ 1 (* (sqrt x) y)) 3)) (/ x (pow (+ 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (+ 1 (* (sqrt x) y)) 2)))) (/ 1 (+ 1 (* (sqrt x) y))))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(- (* (sqrt (/ 1 x)) y) 1)
(/ 1 (* x (- (* (sqrt (/ 1 x)) y) 1)))
(/ (- (/ 1 (- (* (sqrt (/ 1 x)) y) 1)) (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) y) 1) 2)))) x)
(/ (- (+ (/ 1 (* (pow x 2) (pow (- (* (sqrt (/ 1 x)) y) 1) 3))) (/ 1 (- (* (sqrt (/ 1 x)) y) 1))) (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) y) 1) 2)))) x)
(/ (- (+ (/ 1 (* (pow x 2) (pow (- (* (sqrt (/ 1 x)) y) 1) 3))) (/ 1 (- (* (sqrt (/ 1 x)) y) 1))) (+ (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) y) 1) 2))) (/ 1 (* (pow x 3) (pow (- (* (sqrt (/ 1 x)) y) 1) 4))))) x)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- 1 (/ 1 x))))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(/ -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x))
(* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) x)) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
-1
(/ 1 (- 1 x))
(+ (* -1 (* (sqrt x) (/ y (pow (- 1 x) 2)))) (/ 1 (- 1 x)))
(+ (* y (- (/ (* x y) (pow (- 1 x) 3)) (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (/ 1 (- 1 x)))
(+ (* y (- (* y (- (* -1 (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 4)))) (* -1 (/ x (pow (- 1 x) 3))))) (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (/ 1 (- 1 x)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* (sqrt (/ 1 x)) (/ 1 y))
(/ (- (+ (sqrt (/ 1 x)) (/ 1 y)) (/ 1 (* x y))) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) (pow y 2)))) (/ 1 y))) (/ 1 (* x y))) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (/ 1 y) (/ (* (pow (- 1 x) 2) (- 1 (/ 1 x))) (* x (pow y 3))))) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) (pow y 2))) (/ 1 (* x y)))) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- 1 (/ 1 x)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ 1 (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) y)))) (/ 1 x)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (pow (- 1 x) 2) (- 1 (/ 1 x))) (* x y))) (* -1 (* (sqrt (/ 1 x)) (* (- 1 x) (- 1 (/ 1 x)))))) y))) (/ 1 x)) y))) y))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (pow x 1/4) 2) (+ (- 1 x) (* y (pow (pow x 1/4) 2))) (* y (pow (pow x 1/4) 2)))
3.0ms	y	@	inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (pow x 1/4) 2) (+ (- 1 x) (* y (pow (pow x 1/4) 2))) (* y (pow (pow x 1/4) 2)))
2.0ms	x	@	0	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (pow x 1/4) 2) (+ (- 1 x) (* y (pow (pow x 1/4) 2))) (* y (pow (pow x 1/4) 2)))
2.0ms	x	@	inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (pow x 1/4) 2) (+ (- 1 x) (* y (pow (pow x 1/4) 2))) (* y (pow (pow x 1/4) 2)))
2.0ms	y	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (pow x 1/4) 2) (+ (- 1 x) (* y (pow (pow x 1/4) 2))) (* y (pow (pow x 1/4) 2)))

simplify144.0ms (2.8%)

Memory

5.8MiB live, 165.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	216	960
1	626	890
2	1931	845
3	7894	845
0	8003	798

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 55

Calls

Call 1

Inputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(sqrt x)
1
(+ 1 (* -1 x))
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(sqrt (/ 1 x))
(/ 1 (+ 1 (* (sqrt x) y)))
(+ (/ 1 (+ 1 (* (sqrt x) y))) (/ x (pow (+ 1 (* (sqrt x) y)) 2)))
(+ (* x (+ (/ 1 (pow (+ 1 (* (sqrt x) y)) 2)) (/ x (pow (+ 1 (* (sqrt x) y)) 3)))) (/ 1 (+ 1 (* (sqrt x) y))))
(+ (* x (+ (* x (+ (/ 1 (pow (+ 1 (* (sqrt x) y)) 3)) (/ x (pow (+ 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (+ 1 (* (sqrt x) y)) 2)))) (/ 1 (+ 1 (* (sqrt x) y))))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(- (* (sqrt (/ 1 x)) y) 1)
(/ 1 (* x (- (* (sqrt (/ 1 x)) y) 1)))
(/ (- (/ 1 (- (* (sqrt (/ 1 x)) y) 1)) (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) y) 1) 2)))) x)
(/ (- (+ (/ 1 (* (pow x 2) (pow (- (* (sqrt (/ 1 x)) y) 1) 3))) (/ 1 (- (* (sqrt (/ 1 x)) y) 1))) (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) y) 1) 2)))) x)
(/ (- (+ (/ 1 (* (pow x 2) (pow (- (* (sqrt (/ 1 x)) y) 1) 3))) (/ 1 (- (* (sqrt (/ 1 x)) y) 1))) (+ (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) y) 1) 2))) (/ 1 (* (pow x 3) (pow (- (* (sqrt (/ 1 x)) y) 1) 4))))) x)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- 1 (/ 1 x))))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(/ -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x))
(* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) x)) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
-1
(/ 1 (- 1 x))
(+ (* -1 (* (sqrt x) (/ y (pow (- 1 x) 2)))) (/ 1 (- 1 x)))
(+ (* y (- (/ (* x y) (pow (- 1 x) 3)) (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (/ 1 (- 1 x)))
(+ (* y (- (* y (- (* -1 (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 4)))) (* -1 (/ x (pow (- 1 x) 3))))) (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (/ 1 (- 1 x)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* (sqrt (/ 1 x)) (/ 1 y))
(/ (- (+ (sqrt (/ 1 x)) (/ 1 y)) (/ 1 (* x y))) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) (pow y 2)))) (/ 1 y))) (/ 1 (* x y))) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (/ 1 y) (/ (* (pow (- 1 x) 2) (- 1 (/ 1 x))) (* x (pow y 3))))) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) (pow y 2))) (/ 1 (* x y)))) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- 1 (/ 1 x)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ 1 (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) y)))) (/ 1 x)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (pow (- 1 x) 2) (- 1 (/ 1 x))) (* x y))) (* -1 (* (sqrt (/ 1 x)) (* (- 1 x) (- 1 (/ 1 x)))))) y))) (/ 1 x)) y))) y))

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

rewrite268.0ms (5.2%)

Memory

-10.6MiB live, 308.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	105
0	40	89
1	168	85
2	876	85
0	8707	85

Stop Event

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

Counts

13 → 973

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
(-.f64 #s(literal 1 binary64) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))

Outputs
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) (.f64 (*.f64 y x) y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 y x) y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (-.f64 (.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) (.f64 (.f64 y x) y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 y x) y)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) (.f64 (.f64 y x) y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))))
(.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))))
(.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 y (sqrt.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) (-.f64 x (.f64 y (sqrt.f64 x))))))
(.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 y x) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))))))
(.f64 (neg.f64 (-.f64 (.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))))
(.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) (.f64 (.f64 y x) y)))))
(.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 y x) y)) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 y x) y)) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 (.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (fma.f64 (.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) (.f64 (.f64 y x) y)) #s(literal -1 binary64))))
(.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) (.f64 (*.f64 y x) y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) (.f64 (.f64 y x) y)) #s(literal -1 binary64)))
(.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) (.f64 (.f64 y x) y)) (.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (fma.f64 (.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) (.f64 (.f64 y x) y)) (.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) (.f64 (.f64 y x) y)) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))))
(.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) #s(literal -1 binary64))))
(.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) (pow.f64 (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))
(*.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (*.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 4 binary64))) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) #s(literal -1 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 (*.f64 y x) y)))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 6 binary64))) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) #s(literal -1 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 y x) y) (fma.f64 (*.f64 y x) y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (pow.f64 (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) (fma.f64 (*.f64 y x) y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))) (pow.f64 (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (pow.f64 (.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) #s(literal 2 binary64))))
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(fma.f64 (.f64 (.f64 y x) y) (pow.f64 (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 (.f64 y x) y) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))))))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) x (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal -1 binary64) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
(-.f64 (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64)) x)
(-.f64 (fma.f64 y (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (fma.f64 y (sqrt.f64 x) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (.f64 y (sqrt.f64 x))))) (/.f64 (pow.f64 (-.f64 x (.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) (-.f64 x (.f64 y (sqrt.f64 x))))) (/.f64 (pow.f64 (-.f64 x (.f64 y (sqrt.f64 x))) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) (-.f64 x (*.f64 y (sqrt.f64 x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (.f64 y x) y) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y x) y) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x)))) (/.f64 (.f64 (.f64 y x) y) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x)))))
(-.f64 (/.f64 (.f64 (.f64 y x) y) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x))))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (-.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)) (.f64 y (sqrt.f64 x))))
(-.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 y (sqrt.f64 x))))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))
(exp.f64 (log1p.f64 (-.f64 (*.f64 y (sqrt.f64 x)) x)))
(+.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) #s(literal 1 binary64))
(+.f64 (*.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 x))
(+.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) (neg.f64 x))
(+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x)))) (neg.f64 (/.f64 (.f64 (.f64 y x) y) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))))))
(+.f64 (/.f64 (.f64 (.f64 y x) y) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x))) (neg.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)))))
(+.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(+.f64 (neg.f64 x) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) x))
(+.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1 binary64) x (.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x (.f64 y (sqrt.f64 x)))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x (*.f64 y (sqrt.f64 x))))
(.f64 (.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 y (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 y (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) y))
(.f64 (.f64 y (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) y))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)

eval117.0ms (2.3%)

Memory: 3.6MiB live, 158.5MiB allocated
Compiler: Compiled 25 467 to 2 583 computations (89.9% saved)

prune20.0ms (0.4%)

Memory

17.4MiB live, 55.1MiB allocated

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	986	10	996
Fresh	4	0	4
Picked	3	2	5
Done	0	0	0
Total	993	12	1 005

Accuracy

100.0%

Counts

1 005 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.6%	(fma.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) (neg.f64 x))
✓	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
▶	71.3%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
	67.0%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
	66.2%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)))))
▶	67.0%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))
	65.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y x) (neg.f64 x)))
	66.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (*.f64 (/.f64 y (sqrt.f64 x)) x) x))
✓	61.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	33.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
▶	29.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶	39.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))

Compiler

Compiled 353 to 258 computations (26.9% saved)

simplify208.0ms (4%)

Memory

-53.6MiB live, 59.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
cost-diff	0	#s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- 1 x) (neg.f64 x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 (sqrt.f64 x) y)
cost-diff	0	#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
cost-diff	0	#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)))
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 (*.f64 y x) y #s(literal -1 binary64))
cost-diff	320	(fma.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) (neg.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	189
0	50	185
1	81	183
2	126	183
3	270	183
4	549	183
5	1049	183
6	1986	183
7	2822	183
8	3036	183
9	3112	183
10	3221	183
11	3240	183
12	3242	183
13	3242	183
14	3242	183
0	3242	181

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize118.0ms (2.3%)

Memory

-14.6MiB live, 105.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
accuracy	0.1484375	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))
accuracy	0.8841146356380875	(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
accuracy	20.820209674763753	#s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.0	(neg.f64 x)
accuracy	0.07157003162065376	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
accuracy	29.01580855016911	#s(approx (- 1 x) (neg.f64 x))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.19921875	(*.f64 (sqrt.f64 x) y)
accuracy	18.31585553626106	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
accuracy	30.946192322388445	#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y))
accuracy	24.695116575279236	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy	35.82353618255405	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	0.03515625	(fma.f64 (*.f64 y x) y #s(literal -1 binary64))
accuracy	0.08984375	(fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))
accuracy	0.8880208856380875	(/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)))
accuracy	13.99954940001668	(fma.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) (neg.f64 x))

Samples

74.0ms

256×

valid

Compiler

Compiled 338 to 65 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-div: 20.0ms (41.4% of total)

ival-mult: 10.0ms (20.7% of total)

ival-add: 8.0ms (16.5% of total)

ival-pow: 4.0ms (8.3% of total)

ival-sqrt: 3.0ms (6.2% of total)

ival-sub: 1.0ms (2.1% of total)

ival-neg: 1.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.4%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

18 → 104

Calls

Call 1

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

Outputs
(/ -1 (- (* (sqrt x) y) 1))
(- (* x (- (/ (pow y 2) (- (* (sqrt x) y) 1)) 1)) (/ 1 (- (* (sqrt x) y) 1)))
-1
(- (* x (pow y 2)) 1)
(* x y)
(/ 1 (- (* (sqrt x) y) 1))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
1
(+ 1 (* -1 x))
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(sqrt x)
(* -1 x)
(/ 1 (+ 1 (* (sqrt x) y)))
(+ (/ 1 (+ 1 (* (sqrt x) y))) (/ x (pow (+ 1 (* (sqrt x) y)) 2)))
(+ (* x (+ (/ 1 (pow (+ 1 (* (sqrt x) y)) 2)) (/ x (pow (+ 1 (* (sqrt x) y)) 3)))) (/ 1 (+ 1 (* (sqrt x) y))))
(+ (* x (+ (* x (+ (/ 1 (pow (+ 1 (* (sqrt x) y)) 3)) (/ x (pow (+ 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (+ 1 (* (sqrt x) y)) 2)))) (/ 1 (+ 1 (* (sqrt x) y))))
(- (* (sqrt x) y) 1)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) (+ 1 (* (sqrt (/ 1 (pow x 3))) (/ 1 y)))))
(* x (- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow x 3)) (/ 1 y))) (/ x (pow y 2))) (pow x 3))) (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) (+ 1 (* (sqrt (/ 1 (pow x 3))) (/ 1 y)))))
(* x (pow y 2))
(* x (- (pow y 2) (/ 1 x)))
(* (sqrt (/ 1 x)) (/ 1 y))
(/ (+ (* (sqrt x) (/ 1 y)) (/ 1 (pow y 2))) x)
(/ (+ (* (sqrt x) (/ 1 y)) (+ (* (sqrt (/ 1 x)) (/ 1 (pow y 3))) (/ 1 (pow y 2)))) x)
(/ (- (+ (* (sqrt x) (/ 1 y)) (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 2)))) (* -1 (* (sqrt (/ 1 x)) (/ 1 (pow y 3))))) x)
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (/ 1 x) 1))
(/ 1 (* x (- (* (sqrt (/ 1 x)) y) 1)))
(/ (- (/ 1 (- (* (sqrt (/ 1 x)) y) 1)) (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) y) 1) 2)))) x)
(/ (- (+ (/ 1 (* (pow x 2) (pow (- (* (sqrt (/ 1 x)) y) 1) 3))) (/ 1 (- (* (sqrt (/ 1 x)) y) 1))) (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) y) 1) 2)))) x)
(/ (- (+ (/ 1 (* (pow x 2) (pow (- (* (sqrt (/ 1 x)) y) 1) 3))) (/ 1 (- (* (sqrt (/ 1 x)) y) 1))) (+ (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) y) 1) 2))) (/ 1 (* (pow x 3) (pow (- (* (sqrt (/ 1 x)) y) 1) 4))))) x)
(/ (- (* (sqrt x) (/ 1 y)) (/ 1 (pow y 2))) x)
(/ (- (+ (* (sqrt x) (/ 1 y)) (* (sqrt (/ 1 x)) (/ 1 (pow y 3)))) (/ 1 (pow y 2))) x)
(/ (- (* (sqrt x) (/ 1 y)) (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 (pow y 3)))) (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 2))))) x)
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (- (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) y))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (* (sqrt x) y)) (+ (* (sqrt (/ 1 x)) (/ 1 y)) (/ -1 (pow (sqrt -1) 2)))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (* -1 (/ (- (* -1 (* (sqrt (pow x 3)) (/ 1 (* y (pow (sqrt -1) 2))))) (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))) x)) (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt x) (/ 1 y)))) x))) x)))))
(* -1 (* x (+ (* -1 (pow y 2)) (/ 1 x))))
(* -1 (* (sqrt (/ 1 x)) (/ 1 y)))
(* -1 (/ (+ (* (sqrt x) (/ 1 y)) (/ 1 (* (pow y 2) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt x) (/ 1 (* (pow y 3) (pow (sqrt -1) 2))))) (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))) x)) (* (sqrt x) (/ 1 y))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (* -1 (/ (- (* -1 (/ x (* (pow y 4) (pow (sqrt -1) 4)))) (* -1 (* (sqrt (pow x 3)) (/ 1 (* (pow y 3) (pow (sqrt -1) 2)))))) x))) x)) (* (sqrt x) (/ 1 y))) x))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(/ -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x))
(* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) x)) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x))
(* -1 (/ (- (* (sqrt x) (/ 1 y)) (/ 1 (* (pow y 2) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (sqrt x) (/ 1 (* (pow y 3) (pow (sqrt -1) 2))))) (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))) x)) (* (sqrt x) (/ 1 y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ x (* (pow y 4) (pow (sqrt -1) 4))) (* -1 (* (sqrt (pow x 3)) (/ 1 (* (pow y 3) (pow (sqrt -1) 2)))))) x)) (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))) x)) (* (sqrt x) (/ 1 y))) x))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* y (+ (sqrt x) (* y (+ x (* -1 x)))))) x)
(- (* -1 (* (sqrt x) y)) 1)
(- (* y (- (* -1 (* x y)) (sqrt x))) 1)
(- (* y (- (* y (- (* -1 (* (sqrt (pow x 3)) y)) x)) (sqrt x))) 1)
(/ 1 (- 1 x))
(+ (* -1 (* (sqrt x) (/ y (pow (- 1 x) 2)))) (/ 1 (- 1 x)))
(+ (* y (- (/ (* x y) (pow (- 1 x) 3)) (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (/ 1 (- 1 x)))
(+ (* y (- (* y (- (* -1 (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 4)))) (* -1 (/ x (pow (- 1 x) 3))))) (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (/ 1 (- 1 x)))
(+ 1 (* -1 (* (sqrt x) y)))
(+ 1 (* y (- (* x y) (sqrt x))))
(+ 1 (* y (- (* y (- (* -1 (* (sqrt (pow x 3)) y)) (* -1 x))) (sqrt x))))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (+ (* -1 (/ (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))) (pow y 2))) (/ 1 y))) (/ x y)))
(* (pow y 2) (- x (/ 1 (pow y 2))))
(/ (+ (sqrt (/ 1 x)) (/ 1 (* x y))) y)
(/ (+ (sqrt (/ 1 x)) (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2))) (/ 1 (* x y)))) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (/ 1 (* x y)) (/ 1 (* (pow x 2) (pow y 3))))) (* -1 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2))))) y)
(* y (+ (sqrt x) (* -1 (/ x y))))
(/ (- (+ (sqrt (/ 1 x)) (/ 1 y)) (/ 1 (* x y))) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) (pow y 2)))) (/ 1 y))) (/ 1 (* x y))) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (/ 1 y) (/ (* (pow (- 1 x) 2) (- 1 (/ 1 x))) (* x (pow y 3))))) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) (pow y 2))) (/ 1 (* x y)))) y)
(/ (- (sqrt (/ 1 x)) (/ 1 (* x y))) y)
(/ (- (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2)))) (/ 1 (* x y))) y)
(/ (- (+ (sqrt (/ 1 x)) (* -1 (/ (+ (* -1 (sqrt (/ 1 (pow x 3)))) (/ 1 (* (pow x 2) y))) (pow y 2)))) (/ 1 (* x y))) y)
(* y (+ (sqrt x) (/ 1 y)))
(* y (- (sqrt x) (/ 1 y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ 1 (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (* (sqrt (/ 1 x)) (/ 1 y)))) x) y)))))
(* -1 (/ (- (* -1 (sqrt (/ 1 x))) (/ 1 (* x y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 y)) (/ 1 x)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 y)) (+ (/ 1 x) (/ 1 (* (pow x 2) (pow y 2))))) y))) y))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- 1 (/ 1 x)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ 1 (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) y)))) (/ 1 x)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (pow (- 1 x) 2) (- 1 (/ 1 x))) (* x y))) (* -1 (* (sqrt (/ 1 x)) (* (- 1 x) (- 1 (/ 1 x)))))) y))) (/ 1 x)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (/ 1 (* x y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (* (sqrt (/ 1 (pow x 3))) (/ 1 y)) (/ 1 x)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (sqrt (/ 1 (pow x 3)))) y)) (/ 1 x)) y))) y))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ 1 y))))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	y	@	inf	((+ (* (+ (* (* y x) y) -1) (/ 1 (+ (* y (sqrt x)) -1))) (neg x)) (+ (* (* y x) y) -1) (* y x) (/ 1 (+ (* y (sqrt x)) -1)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (* (sqrt x) y) (sqrt x) (+ (* (sqrt x) y) (- 1 x)) (- 1 x) (neg x) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/ 1 (+ (* (sqrt x) y) 1)) (+ (* (sqrt x) y) 1) (+ (* y (sqrt x)) -1))
4.0ms	x	@	-inf	((+ (* (+ (* (* y x) y) -1) (/ 1 (+ (* y (sqrt x)) -1))) (neg x)) (+ (* (* y x) y) -1) (* y x) (/ 1 (+ (* y (sqrt x)) -1)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (* (sqrt x) y) (sqrt x) (+ (* (sqrt x) y) (- 1 x)) (- 1 x) (neg x) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/ 1 (+ (* (sqrt x) y) 1)) (+ (* (sqrt x) y) 1) (+ (* y (sqrt x)) -1))
3.0ms	x	@	inf	((+ (* (+ (* (* y x) y) -1) (/ 1 (+ (* y (sqrt x)) -1))) (neg x)) (+ (* (* y x) y) -1) (* y x) (/ 1 (+ (* y (sqrt x)) -1)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (* (sqrt x) y) (sqrt x) (+ (* (sqrt x) y) (- 1 x)) (- 1 x) (neg x) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/ 1 (+ (* (sqrt x) y) 1)) (+ (* (sqrt x) y) 1) (+ (* y (sqrt x)) -1))
3.0ms	y	@	-inf	((+ (* (+ (* (* y x) y) -1) (/ 1 (+ (* y (sqrt x)) -1))) (neg x)) (+ (* (* y x) y) -1) (* y x) (/ 1 (+ (* y (sqrt x)) -1)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (* (sqrt x) y) (sqrt x) (+ (* (sqrt x) y) (- 1 x)) (- 1 x) (neg x) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/ 1 (+ (* (sqrt x) y) 1)) (+ (* (sqrt x) y) 1) (+ (* y (sqrt x)) -1))
3.0ms	x	@	0	((+ (* (+ (* (* y x) y) -1) (/ 1 (+ (* y (sqrt x)) -1))) (neg x)) (+ (* (* y x) y) -1) (* y x) (/ 1 (+ (* y (sqrt x)) -1)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (* (sqrt x) y) (sqrt x) (+ (* (sqrt x) y) (- 1 x)) (- 1 x) (neg x) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/ 1 (+ (* (sqrt x) y) 1)) (+ (* (sqrt x) y) 1) (+ (* y (sqrt x)) -1))

simplify241.0ms (4.7%)

Memory

7.8MiB live, 161.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	470	2026
1	1419	1780
2	4395	1742
0	8103	1664

Stop Event

1×	iter limit
1×	node limit

Counts

104 → 104

Calls

Call 1

Inputs
(/ -1 (- (* (sqrt x) y) 1))
(- (* x (- (/ (pow y 2) (- (* (sqrt x) y) 1)) 1)) (/ 1 (- (* (sqrt x) y) 1)))
-1
(- (* x (pow y 2)) 1)
(* x y)
(/ 1 (- (* (sqrt x) y) 1))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
1
(+ 1 (* -1 x))
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(sqrt x)
(* -1 x)
(/ 1 (+ 1 (* (sqrt x) y)))
(+ (/ 1 (+ 1 (* (sqrt x) y))) (/ x (pow (+ 1 (* (sqrt x) y)) 2)))
(+ (* x (+ (/ 1 (pow (+ 1 (* (sqrt x) y)) 2)) (/ x (pow (+ 1 (* (sqrt x) y)) 3)))) (/ 1 (+ 1 (* (sqrt x) y))))
(+ (* x (+ (* x (+ (/ 1 (pow (+ 1 (* (sqrt x) y)) 3)) (/ x (pow (+ 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (+ 1 (* (sqrt x) y)) 2)))) (/ 1 (+ 1 (* (sqrt x) y))))
(- (* (sqrt x) y) 1)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) (+ 1 (* (sqrt (/ 1 (pow x 3))) (/ 1 y)))))
(* x (- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow x 3)) (/ 1 y))) (/ x (pow y 2))) (pow x 3))) (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) (+ 1 (* (sqrt (/ 1 (pow x 3))) (/ 1 y)))))
(* x (pow y 2))
(* x (- (pow y 2) (/ 1 x)))
(* (sqrt (/ 1 x)) (/ 1 y))
(/ (+ (* (sqrt x) (/ 1 y)) (/ 1 (pow y 2))) x)
(/ (+ (* (sqrt x) (/ 1 y)) (+ (* (sqrt (/ 1 x)) (/ 1 (pow y 3))) (/ 1 (pow y 2)))) x)
(/ (- (+ (* (sqrt x) (/ 1 y)) (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 2)))) (* -1 (* (sqrt (/ 1 x)) (/ 1 (pow y 3))))) x)
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (/ 1 x) 1))
(/ 1 (* x (- (* (sqrt (/ 1 x)) y) 1)))
(/ (- (/ 1 (- (* (sqrt (/ 1 x)) y) 1)) (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) y) 1) 2)))) x)
(/ (- (+ (/ 1 (* (pow x 2) (pow (- (* (sqrt (/ 1 x)) y) 1) 3))) (/ 1 (- (* (sqrt (/ 1 x)) y) 1))) (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) y) 1) 2)))) x)
(/ (- (+ (/ 1 (* (pow x 2) (pow (- (* (sqrt (/ 1 x)) y) 1) 3))) (/ 1 (- (* (sqrt (/ 1 x)) y) 1))) (+ (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) y) 1) 2))) (/ 1 (* (pow x 3) (pow (- (* (sqrt (/ 1 x)) y) 1) 4))))) x)
(/ (- (* (sqrt x) (/ 1 y)) (/ 1 (pow y 2))) x)
(/ (- (+ (* (sqrt x) (/ 1 y)) (* (sqrt (/ 1 x)) (/ 1 (pow y 3)))) (/ 1 (pow y 2))) x)
(/ (- (* (sqrt x) (/ 1 y)) (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 (pow y 3)))) (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 2))))) x)
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (- (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) y))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (* (sqrt x) y)) (+ (* (sqrt (/ 1 x)) (/ 1 y)) (/ -1 (pow (sqrt -1) 2)))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (* -1 (/ (- (* -1 (* (sqrt (pow x 3)) (/ 1 (* y (pow (sqrt -1) 2))))) (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))) x)) (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt x) (/ 1 y)))) x))) x)))))
(* -1 (* x (+ (* -1 (pow y 2)) (/ 1 x))))
(* -1 (* (sqrt (/ 1 x)) (/ 1 y)))
(* -1 (/ (+ (* (sqrt x) (/ 1 y)) (/ 1 (* (pow y 2) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt x) (/ 1 (* (pow y 3) (pow (sqrt -1) 2))))) (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))) x)) (* (sqrt x) (/ 1 y))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (* -1 (/ (- (* -1 (/ x (* (pow y 4) (pow (sqrt -1) 4)))) (* -1 (* (sqrt (pow x 3)) (/ 1 (* (pow y 3) (pow (sqrt -1) 2)))))) x))) x)) (* (sqrt x) (/ 1 y))) x))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(/ -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x))
(* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) x)) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x))
(* -1 (/ (- (* (sqrt x) (/ 1 y)) (/ 1 (* (pow y 2) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (sqrt x) (/ 1 (* (pow y 3) (pow (sqrt -1) 2))))) (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))) x)) (* (sqrt x) (/ 1 y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ x (* (pow y 4) (pow (sqrt -1) 4))) (* -1 (* (sqrt (pow x 3)) (/ 1 (* (pow y 3) (pow (sqrt -1) 2)))))) x)) (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))) x)) (* (sqrt x) (/ 1 y))) x))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* y (+ (sqrt x) (* y (+ x (* -1 x)))))) x)
(- (* -1 (* (sqrt x) y)) 1)
(- (* y (- (* -1 (* x y)) (sqrt x))) 1)
(- (* y (- (* y (- (* -1 (* (sqrt (pow x 3)) y)) x)) (sqrt x))) 1)
(/ 1 (- 1 x))
(+ (* -1 (* (sqrt x) (/ y (pow (- 1 x) 2)))) (/ 1 (- 1 x)))
(+ (* y (- (/ (* x y) (pow (- 1 x) 3)) (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (/ 1 (- 1 x)))
(+ (* y (- (* y (- (* -1 (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 4)))) (* -1 (/ x (pow (- 1 x) 3))))) (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (/ 1 (- 1 x)))
(+ 1 (* -1 (* (sqrt x) y)))
(+ 1 (* y (- (* x y) (sqrt x))))
(+ 1 (* y (- (* y (- (* -1 (* (sqrt (pow x 3)) y)) (* -1 x))) (sqrt x))))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (+ (* -1 (/ (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))) (pow y 2))) (/ 1 y))) (/ x y)))
(* (pow y 2) (- x (/ 1 (pow y 2))))
(/ (+ (sqrt (/ 1 x)) (/ 1 (* x y))) y)
(/ (+ (sqrt (/ 1 x)) (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2))) (/ 1 (* x y)))) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (/ 1 (* x y)) (/ 1 (* (pow x 2) (pow y 3))))) (* -1 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2))))) y)
(* y (+ (sqrt x) (* -1 (/ x y))))
(/ (- (+ (sqrt (/ 1 x)) (/ 1 y)) (/ 1 (* x y))) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) (pow y 2)))) (/ 1 y))) (/ 1 (* x y))) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (/ 1 y) (/ (* (pow (- 1 x) 2) (- 1 (/ 1 x))) (* x (pow y 3))))) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) (pow y 2))) (/ 1 (* x y)))) y)
(/ (- (sqrt (/ 1 x)) (/ 1 (* x y))) y)
(/ (- (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2)))) (/ 1 (* x y))) y)
(/ (- (+ (sqrt (/ 1 x)) (* -1 (/ (+ (* -1 (sqrt (/ 1 (pow x 3)))) (/ 1 (* (pow x 2) y))) (pow y 2)))) (/ 1 (* x y))) y)
(* y (+ (sqrt x) (/ 1 y)))
(* y (- (sqrt x) (/ 1 y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ 1 (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (* (sqrt (/ 1 x)) (/ 1 y)))) x) y)))))
(* -1 (/ (- (* -1 (sqrt (/ 1 x))) (/ 1 (* x y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 y)) (/ 1 x)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 y)) (+ (/ 1 x) (/ 1 (* (pow x 2) (pow y 2))))) y))) y))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- 1 (/ 1 x)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ 1 (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) y)))) (/ 1 x)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (pow (- 1 x) 2) (- 1 (/ 1 x))) (* x y))) (* -1 (* (sqrt (/ 1 x)) (* (- 1 x) (- 1 (/ 1 x)))))) y))) (/ 1 x)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (/ 1 (* x y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (* (sqrt (/ 1 (pow x 3))) (/ 1 y)) (/ 1 x)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (sqrt (/ 1 (pow x 3)))) y)) (/ 1 x)) y))) y))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ 1 y))))

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

rewrite264.0ms (5.1%)

Memory

34.4MiB live, 301.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	169
0	50	163
1	224	159
2	1544	152
0	8866	152

Stop Event

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

Counts

18 → 658

Calls

Call 1

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

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

eval168.0ms (3.3%)

Memory: -11.3MiB live, 235.8MiB allocated
Compiler: Compiled 27 047 to 2 946 computations (89.1% saved)

prune19.0ms (0.4%)

Memory

-24.7MiB live, 51.9MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	791	2	793
Fresh	2	3	5
Picked	0	5	5
Done	0	2	2
Total	793	12	805

Accuracy

100.0%

Counts

805 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.6%	(fma.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) (neg.f64 x))
✓	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
✓	71.3%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
▶	67.0%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
✓	67.0%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))
▶	94.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
▶	66.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (*.f64 (/.f64 y (sqrt.f64 x)) x) x))
✓	61.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	33.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓	29.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶	61.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y)))
✓	39.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))

Compiler

Compiled 281 to 203 computations (27.8% saved)

simplify180.0ms (3.5%)

Memory

0.6MiB live, 122.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y (sqrt.f64 x))
cost-diff	0	(*.f64 (/.f64 y (sqrt.f64 x)) x)
cost-diff	0	(-.f64 (*.f64 (/.f64 y (sqrt.f64 x)) x) x)
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (*.f64 (/.f64 y (sqrt.f64 x)) x) x))
cost-diff	0	(-.f64 (sqrt.f64 x) (/.f64 x y))
cost-diff	0	#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y)))
cost-diff	704	(*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y)
cost-diff	0	#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- 1 x) (neg.f64 x))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
cost-diff	128	(fma.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	197
0	50	197
1	78	197
2	131	197
3	228	197
4	416	191
5	790	191
6	2020	191
7	4215	191
8	5458	191
9	6625	191
10	7803	191
0	8033	183

Stop Event

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

Calls

Call 1

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

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

localize84.0ms (1.6%)

Memory

34.5MiB live, 148.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.018361092648988643	(-.f64 (*.f64 (/.f64 y (sqrt.f64 x)) x) x)
accuracy	0.19140625	(/.f64 y (sqrt.f64 x))
accuracy	6.573245780585761	(*.f64 (/.f64 y (sqrt.f64 x)) x)
accuracy	18.31585553626106	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (*.f64 (/.f64 y (sqrt.f64 x)) x) x))
accuracy	0.0	#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y))
accuracy	0.015625	(-.f64 (sqrt.f64 x) (/.f64 x y))
accuracy	6.686079427868342	(*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y)
accuracy	18.31585553626106	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.07157003162065376	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy	35.82353618255405	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	0.0	(neg.f64 x)
accuracy	24.695116575279236	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
accuracy	29.01580855016911	#s(approx (- 1 x) (neg.f64 x))
accuracy	0.0	(*.f64 x y)
accuracy	0.0	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
accuracy	0.08984375	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	3.8100989519299797	(fma.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))

Samples

68.0ms

256×

valid

Compiler

Compiled 334 to 62 computations (81.4% saved)

Precisions

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

ival-mult: 14.0ms (40.2% of total)

ival-add: 7.0ms (20.1% of total)

ival-div: 5.0ms (14.3% of total)

ival-sub: 4.0ms (11.5% of total)

ival-sqrt: 3.0ms (8.6% of total)

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

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory

-4.6MiB live, 33.6MiB allocated

Counts

18 → 37

Calls

Call 1

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

Outputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(* x y)
(sqrt (/ 1 x))
1
(+ 1 (* -1 x))
(* -1 x)
(sqrt x)
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(+ (sqrt x) (* -1 (/ x y)))
(* (sqrt (/ 1 x)) y)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (/ 1 x) 1))
(* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))
(* x (- (sqrt (/ 1 x)) (/ 1 y)))
(* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* -1 (* x (- (+ 1 (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ 1 x))))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))
(* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(* -1 (/ x y))
(/ (- (* (sqrt x) y) x) y)
(- (* (sqrt x) y) x)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((+ (* (* x y) (sqrt (/ 1 x))) (- 1 x)) (+ (- 1 x) (* y (sqrt x))) (* x y) (sqrt (/ 1 x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (* (- (sqrt x) (/ x y)) y) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (- (sqrt x) (/ x y)) (+ (- 1 x) (* y (sqrt x))) (- (* (/ y (sqrt x)) x) x) (* (/ y (sqrt x)) x) (/ y (sqrt x)))
4.0ms	x	@	-inf	((+ (* (* x y) (sqrt (/ 1 x))) (- 1 x)) (+ (- 1 x) (* y (sqrt x))) (* x y) (sqrt (/ 1 x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (* (- (sqrt x) (/ x y)) y) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (- (sqrt x) (/ x y)) (+ (- 1 x) (* y (sqrt x))) (- (* (/ y (sqrt x)) x) x) (* (/ y (sqrt x)) x) (/ y (sqrt x)))
2.0ms	y	@	-inf	((+ (* (* x y) (sqrt (/ 1 x))) (- 1 x)) (+ (- 1 x) (* y (sqrt x))) (* x y) (sqrt (/ 1 x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (* (- (sqrt x) (/ x y)) y) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (- (sqrt x) (/ x y)) (+ (- 1 x) (* y (sqrt x))) (- (* (/ y (sqrt x)) x) x) (* (/ y (sqrt x)) x) (/ y (sqrt x)))
1.0ms	y	@	inf	((+ (* (* x y) (sqrt (/ 1 x))) (- 1 x)) (+ (- 1 x) (* y (sqrt x))) (* x y) (sqrt (/ 1 x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (* (- (sqrt x) (/ x y)) y) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (- (sqrt x) (/ x y)) (+ (- 1 x) (* y (sqrt x))) (- (* (/ y (sqrt x)) x) x) (* (/ y (sqrt x)) x) (/ y (sqrt x)))
1.0ms	x	@	0	((+ (* (* x y) (sqrt (/ 1 x))) (- 1 x)) (+ (- 1 x) (* y (sqrt x))) (* x y) (sqrt (/ 1 x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (* (- (sqrt x) (/ x y)) y) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (- (sqrt x) (/ x y)) (+ (- 1 x) (* y (sqrt x))) (- (* (/ y (sqrt x)) x) x) (* (/ y (sqrt x)) x) (/ y (sqrt x)))

simplify142.0ms (2.8%)

Memory

-14.1MiB live, 120.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	278
1	253	257
2	855	245
3	2195	245
4	5297	245
0	8294	230

Stop Event

1×	iter limit
1×	node limit

Counts

37 → 37

Calls

Call 1

Inputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(* x y)
(sqrt (/ 1 x))
1
(+ 1 (* -1 x))
(* -1 x)
(sqrt x)
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(+ (sqrt x) (* -1 (/ x y)))
(* (sqrt (/ 1 x)) y)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (/ 1 x) 1))
(* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))
(* x (- (sqrt (/ 1 x)) (/ 1 y)))
(* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* -1 (* x (- (+ 1 (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ 1 x))))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))
(* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(* -1 (/ x y))
(/ (- (* (sqrt x) y) x) y)
(- (* (sqrt x) y) x)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))

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

rewrite228.0ms (4.4%)

Memory

13.3MiB live, 285.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	173
0	50	167
1	194	166
2	1354	152
0	8726	146

Stop Event

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

Counts

18 → 582

Calls

Call 1

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

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

eval87.0ms (1.7%)

Memory: -0.7MiB live, 228.6MiB allocated
Compiler: Compiled 20 378 to 2 522 computations (87.6% saved)

prune40.0ms (0.8%)

Memory

20.0MiB live, 57.1MiB allocated

Pruning

14 alts after pruning (3 fresh and 11 done)

	Pruned	Kept	Total
New	660	3	663
Fresh	0	0	0
Picked	0	5	5
Done	1	6	7
Total	661	14	675

Accuracy

100.0%

Counts

675 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.6%	(fma.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) (neg.f64 x))
	62.1%	(fma.f64 (/.f64 y (sqrt.f64 x)) x #s(approx (- 1 x) #s(literal 1 binary64)))
	67.0%	(fma.f64 (/.f64 x (sqrt.f64 x)) y #s(approx (- 1 x) #s(literal 1 binary64)))
✓	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
✓	71.3%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	67.0%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
✓	94.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
	65.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (/.f64 (*.f64 y x) (sqrt.f64 x)) x))
✓	66.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (*.f64 (/.f64 y (sqrt.f64 x)) x) x))
✓	61.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓	33.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓	29.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
✓	61.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y)))
✓	39.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))

Compiler

Compiled 606 to 251 computations (58.6% saved)

regimes71.0ms (1.4%)

Memory

-23.4MiB live, 72.1MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 x (sqrt.f64 x)) y #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) x #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (*.f64 (/.f64 y (sqrt.f64 x)) x) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (/.f64 (*.f64 y x) (sqrt.f64 x)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))
(fma.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) (neg.f64 x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (neg.f64 (/.f64 (.f64 (.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y x) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))

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

Calls

3 calls:

52.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
11.0ms	y
7.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes10.0ms (0.2%)

Memory

-16.1MiB live, 21.8MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))

Calls

3 calls:

4.0ms	y
3.0ms	x
3.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
98.9%	2	`x`
97.1%	3	`y`
98.5%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes8.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
95.8%	3	`y`
84.4%	3	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
77.8%	2	`x`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory

-29.4MiB live, 7.8MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))

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

#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
94.1%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
61.4%	1	`x`
61.4%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
61.4%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes5.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
60.5%	2	`x`
35.0%	2	`y`
61.1%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes8.0ms (0.1%)

Memory

-30.6MiB live, 15.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Calls

3 calls:

5.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
29.5%	1	`y`
29.5%	1	`x`
29.5%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch7.0ms (0.1%)

Memory

25.4MiB live, 25.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.3048150345004011	1.0585860909659919

Samples

3.0ms

80×

valid

Compiler

Compiled 131 to 117 computations (10.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sqrt: 1.0ms (53.1% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch31.0ms (0.6%)

Memory

-15.3MiB live, 61.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.294379084486081e+48	5.487967629712042e+50
17.0ms	-3.2877416706875783e+72	-1.0712351049893968e+68

Samples

12.0ms

256×

valid

Compiler

Compiled 427 to 380 computations (11% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 2.0ms (31.8% of total)

ival-sqrt: 2.0ms (31.8% of total)

ival-sub: 1.0ms (15.9% of total)

ival-add: 1.0ms (15.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch39.0ms (0.8%)

Memory

-13.6MiB live, 25.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	1.0673410625614426e+72	4.6666838431769886e+73
6.0ms	-3.632763852146324e+80	-1.691911562145772e+80

Samples

30.0ms

192×

valid

Compiler

Compiled 443 to 360 computations (18.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sub: 1.0ms (21.6% of total)

ival-add: 1.0ms (21.6% of total)

ival-mult: 1.0ms (21.6% of total)

ival-sqrt: 1.0ms (21.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-209165.44766034873	0.695184965499599

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify115.0ms (2.2%)

Memory

18.6MiB live, 61.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	181
1	67	181
2	93	181
3	133	181
4	228	181
5	417	181
6	1001	181
7	2321	181
8	4685	181
9	7977	181

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))))
(if (<=.f64 y #s(literal -129999999999999990272892468775189836921250833875183058983128292917248 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 429999999999999970500448014277182571802393424429056 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -339999999999999992192051664866659737883316087740800327016516568300681836242141184 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (.f64 (sqrt.f64 x) y))) (if (<=.f64 y #s(literal 6199999999999999769266885421026604671075841285071158597492732714450681856 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) #s(literal -200000 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Outputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))))
(if (<=.f64 y #s(literal -129999999999999990272892468775189836921250833875183058983128292917248 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 429999999999999970500448014277182571802393424429056 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))
(if (or (<=.f64 y #s(literal -129999999999999990272892468775189836921250833875183058983128292917248 binary64)) (not (<=.f64 y #s(literal 429999999999999970500448014277182571802393424429056 binary64)))) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 y #s(literal -339999999999999992192051664866659737883316087740800327016516568300681836242141184 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (.f64 (sqrt.f64 x) y))) (if (<=.f64 y #s(literal 6199999999999999769266885421026604671075841285071158597492732714450681856 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))))
(if (or (<=.f64 y #s(literal -339999999999999992192051664866659737883316087740800327016516568300681836242141184 binary64)) (not (<=.f64 y #s(literal 6199999999999999769266885421026604671075841285071158597492732714450681856 binary64)))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (.f64 (sqrt.f64 x) y))) #s(approx (+ (- 1 x) ( y (sqrt x))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) #s(literal -200000 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

soundness790.0ms (15.3%)

Memory

20.6MiB live, 452.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	216	960
1	626	890
2	1931	845
3	7894	845
0	8003	798
0	52	113
1	141	113
2	443	109
3	1376	109
4	4940	109
5	7671	109
0	8254	98
0	7	17
0	11	17
1	46	17
2	357	17
3	5361	17
0	9022	16

Stop Event

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

Compiler

Compiled 265 to 129 computations (51.3% saved)

preprocess79.0ms (1.5%)

Memory: -31.6MiB live, 88.5MiB allocated
Compiler: Compiled 378 to 114 computations (69.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	20
0	11	20
1	19	20
2	38	20
3	65	20
4	129	20
5	247	20
6	395	20
7	448	20
8	478	20
0	478	19

Iter	Nodes	Cost
0	7	20
0	11	20
1	19	20
2	38	20
3	65	20
4	129	20
5	247	20
6	395	20
7	448	20
8	478	20
0	478	19

start0.0ms (0%)

analyze8.0ms (0.2%)

sample710.0ms (13.8%)

explain95.0ms (1.8%)

preprocess45.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify12.0ms (0.2%)

localize27.0ms (0.5%)

series5.0ms (0.1%)

simplify254.0ms (4.9%)

rewrite197.0ms (3.8%)

eval50.0ms (1%)

prune11.0ms (0.2%)

simplify51.0ms (1%)

localize133.0ms (2.6%)

series14.0ms (0.3%)

simplify144.0ms (2.8%)

rewrite268.0ms (5.2%)

eval117.0ms (2.3%)

prune20.0ms (0.4%)

simplify208.0ms (4%)

localize118.0ms (2.3%)

series23.0ms (0.4%)

simplify241.0ms (4.7%)

rewrite264.0ms (5.1%)

eval168.0ms (3.3%)

prune19.0ms (0.4%)

simplify180.0ms (3.5%)

localize84.0ms (1.6%)

series16.0ms (0.3%)

simplify142.0ms (2.8%)

rewrite228.0ms (4.4%)

eval87.0ms (1.7%)

prune40.0ms (0.8%)

regimes71.0ms (1.4%)

regimes10.0ms (0.2%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch7.0ms (0.1%)

bsearch31.0ms (0.6%)

bsearch39.0ms (0.8%)

bsearch0.0ms (0%)

simplify115.0ms (2.2%)

soundness790.0ms (15.3%)

preprocess79.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	20
0	11	20
1	19	20
2	38	20
3	65	20
4	129	20
5	247	20
6	395	20
7	448	20
8	478	20
0	478	19