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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze9.0ms (0.2%)

Memory

15.7MiB live, 15.7MiB 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)

sample775.0ms (15.5%)

Memory

13.0MiB live, 838.8MiB allocated

Samples

472.0ms	8 254×	0	valid
12.0ms	259×	0	invalid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 285.0ms

ival-sub: 85.0ms (29.8% of total)

ival-sqrt: 81.0ms (28.4% of total)

ival-mult: 60.0ms (21.1% of total)

ival-add: 44.0ms (15.4% of total)

ival-true: 6.0ms (2.1% of total)

exact: 5.0ms (1.8% of total)

ival-assert: 4.0ms (1.4% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain75.0ms (1.5%)

Memory

4.1MiB live, 117.0MiB 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	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

28.0ms

512×

valid

Compiler

Compiled 52 to 25 computations (51.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-sqrt: 6.0ms (39.1% of total)

ival-sub: 3.0ms (19.6% of total)

ival-mult: 3.0ms (19.6% of total)

ival-add: 2.0ms (13% of total)

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

exact: 0.0ms (0% of total)

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

preprocess23.0ms (0.5%)

Memory

-15.4MiB live, 26.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	46
1	49	46
2	93	46
3	146	46
4	203	46
5	214	46
6	222	46
0	7	8
0	11	8
1	20	8
2	32	8
3	48	8
4	63	8
5	64	8
6	66	8
0	66	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)

simplify4.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB 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	1	(+.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	20	20
2	32	20
3	48	20
4	63	20
5	64	20
6	66	20
0	66	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)

localize21.0ms (0.4%)

Memory

-1.9MiB live, 35.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.22265625	(*.f64 y (sqrt.f64 x))

Samples

15.0ms

256×

valid

Compiler

Compiled 22 to 9 computations (59.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sub: 2.0ms (29.9% of total)

ival-mult: 2.0ms (29.9% of total)

ival-sqrt: 2.0ms (29.9% of total)

ival-add: 1.0ms (15% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB 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
2.0ms	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	y	@	-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))

simplify101.0ms (2%)

Memory

13.9MiB live, 90.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	128
1	140	122
2	452	122
3	1320	118
4	3735	118
5	7972	118
0	8111	107

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

rewrite245.0ms (4.9%)

Memory

-15.0MiB live, 193.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	11	17
1	48	17
2	341	17
3	4398	17
0	8363	16

Stop Event

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

Counts

4 → 184

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

eval48.0ms (1%)

Memory: -4.6MiB live, 33.1MiB allocated
Compiler: Compiled 5 080 to 633 computations (87.5% saved)

prune7.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	188	8	196
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	189	8	197

Accuracy

100.0%

Counts

197 → 8

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))
	76.5%	(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))) (/.f64 (.f64 (neg.f64 y) (.f64 y x)) (-.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))
▶	48.9%	(/.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))) (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)))))
▶	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))))
	69.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
▶	64.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	60.9%	#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 264 to 178 computations (32.6% saved)

simplify205.0ms (4.1%)

Memory

-13.1MiB live, 217.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 y #s(literal 3 binary64))
cost-diff	0	(pow.f64 x #s(literal 3/2 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
cost-diff	0	(/.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))) (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)))))
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	1	(+.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	3	(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 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	35	215
0	60	206
1	105	204
2	207	203
3	519	203
4	1252	203
5	2609	203
6	4187	203
7	6915	203
0	8714	203

Stop Event

1×	iter limit
1×	node limit
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 (-.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)
(/.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))) (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)))))
(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 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(pow.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(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 y x)
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))
(fma.f64 (sqrt.f64 x) y x)
(sqrt.f64 x)

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

localize157.0ms (3.1%)

Memory

10.3MiB live, 136.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(fma.f64 (sqrt.f64 x) y x)
accuracy	3.0156250000000004	(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))))
accuracy	10.223127283311696	(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)))
accuracy	27.745969528656296	(/.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))) (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)))))
accuracy	0.0	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
accuracy	0.00390625	(pow.f64 x #s(literal 1/4 binary64))
accuracy	0.22265625	(*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
accuracy	0.5475387695368841	(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy	0.09375	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	0.10546875	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
accuracy	3.6705361410585375	(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
accuracy	21.386396467757105	#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	22.842176691865262	#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	0.06640625	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

Samples

96.0ms	255×	0	valid
1.0ms	1×	1	valid

Compiler

Compiled 215 to 37 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-pow: 23.0ms (39.6% of total)

ival-mult: 13.0ms (22.4% of total)

ival-add: 7.0ms (12.1% of total)

ival-sqrt: 4.0ms (6.9% of total)

ival-div: 3.0ms (5.2% of total)

ival-pow2: 3.0ms (5.2% of total)

ival-sub: 2.0ms (3.4% of total)

exact: 1.0ms (1.7% of total)

adjust: 0.0ms (0% of total)

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

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

series124.0ms (2.5%)

Memory

18.1MiB live, 169.8MiB allocated

Counts

18 → 92

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 (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)))
(/.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))) (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)))))
(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 x #s(literal 3/2 binary64))
(pow.f64 y #s(literal 3 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(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))))
(fma.f64 (sqrt.f64 x) y x)

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)))
(+ (* x (- (+ (* (sqrt x) (/ (pow y 3) (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))))) (/ 1 (- 1 (* (sqrt x) y))))
(+ (* x (- (+ (* x (- (* 3 (/ 1 (- 1 (* (sqrt x) y)))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1) (- (+ (* (sqrt x) (/ (pow y 3) (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))))) (- 1 (* (sqrt x) y)))))) (+ (* (sqrt x) (/ (pow y 3) (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))))) (/ 1 (- 1 (* (sqrt x) y))))
(+ (* x (- (+ (* x (- (+ (* 3 (/ 1 (- 1 (* (sqrt x) y)))) (* x (- (+ (* 2 (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 3))) (+ (* (sqrt x) (/ (pow y 3) (pow (- 1 (* (sqrt x) y)) 2))) (+ (/ 1 (- 1 (* (sqrt x) y))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 3)) (/ (* (- (* 3 (/ 1 (- 1 (* (sqrt x) y)))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1) (- (+ (* (sqrt x) (/ (pow y 3) (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))))) (- 1 (* (sqrt x) y))))) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (- 1 (* (sqrt x) y))))))))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1) (- (+ (* (sqrt x) (/ (pow y 3) (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))))) (- 1 (* (sqrt x) y)))))) (+ (* (sqrt x) (/ (pow y 3) (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))))) (/ 1 (- 1 (* (sqrt x) y))))
(+ 1 (* x (- (* (sqrt x) (pow y 3)) 3)))
(+ 1 (* x (- (+ (* 3 x) (* (sqrt x) (pow y 3))) 3)))
(+ 1 (* x (- (+ (* x (+ 3 (* -1 x))) (* (sqrt x) (pow y 3))) 3)))
(sqrt (pow x 3))
(pow (* 1 x) 1/4)
(- 1 (* (sqrt x) y))
(- (+ 1 (* x (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1))) (* (sqrt x) y))
(- (+ 1 (* x (- (+ x (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2))) 1))) (* (sqrt x) y))
(+ x (* (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 (+ 1 (* (sqrt (/ 1 x)) y))))
(* x (- (+ (* (sqrt (/ 1 (pow x 3))) (/ (pow y 3) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 3 (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (* -1 (/ (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))
(* x (- (+ (* (sqrt (/ 1 (pow x 3))) (/ (pow y 3) (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 3 (* x (+ 1 (* (sqrt (/ 1 x)) y)))))) (+ (* -1 (/ (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (+ (* 3 (/ 1 (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (/ (* (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (- (+ (* 3 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (* (sqrt (/ 1 x)) (/ (pow y 3) (+ 1 (* (sqrt (/ 1 x)) y))))) (* -1 (/ (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))))))))
(* x (- (+ (* -1 (/ (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3)))) (+ (* (sqrt (/ 1 (pow x 3))) (/ (pow y 3) (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 3) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 3 (* x (+ 1 (* (sqrt (/ 1 x)) y)))))))) (+ (* -1 (/ (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (+ (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (* 3 (/ 1 (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (+ (/ 3 (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ (* (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (- (+ (* 3 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (* (sqrt (/ 1 x)) (/ (pow y 3) (+ 1 (* (sqrt (/ 1 x)) y))))) (* -1 (/ (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ (* (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (- (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)) (+ (* 3 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ (* (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (- (+ (* 3 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (* (sqrt (/ 1 x)) (/ (pow y 3) (+ 1 (* (sqrt (/ 1 x)) y))))) (* -1 (/ (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))))) (+ 1 (* (sqrt (/ 1 x)) y)))))) (* (pow x 3) (+ 1 (* (sqrt (/ 1 x)) y))))))))))))
(* -1 (pow x 3))
(* (pow x 3) (- (+ (* (sqrt (/ 1 (pow x 3))) (pow y 3)) (* 3 (/ 1 x))) 1))
(* (pow x 3) (- (+ (* (sqrt (/ 1 (pow x 3))) (pow y 3)) (* 3 (/ 1 x))) (+ 1 (/ 3 (pow x 2)))))
(* (pow x 3) (- (+ (* (sqrt (/ 1 (pow x 3))) (pow y 3)) (+ (* 3 (/ 1 x)) (/ 1 (pow x 3)))) (+ 1 (/ 3 (pow x 2)))))
(* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) y)) x)) (+ (* (sqrt (/ 1 x)) y) (/ (pow y 2) x)))) (/ 1 x)))
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) y)) x)) (+ (* (sqrt (/ 1 x)) y) (+ (/ 1 (pow x 2)) (/ (pow y 2) x))))) (/ 1 x)))
(* x (+ 1 (* (sqrt (/ 1 x)) y)))
(* -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 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (/ x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (- (+ (* 3 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (* (sqrt (/ 1 x)) (/ (* (pow y 3) (pow (sqrt -1) 2)) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)) (/ (* (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ (* 3 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (* (sqrt (/ 1 x)) (/ (* (pow y 3) (pow (sqrt -1) 2)) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x)) (+ (* 3 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (* (sqrt (/ 1 x)) (/ (* (pow y 3) (pow (sqrt -1) 2)) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (+ (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (+ (* 3 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (+ (* (sqrt (/ 1 x)) (/ (* (pow y 3) (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (* (- (* 3 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)) (/ (* (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ (* 3 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (* (sqrt (/ 1 x)) (/ (* (pow y 3) (pow (sqrt -1) 2)) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))) x)) (* 3 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (+ (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)) (/ (* (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ (* 3 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (* (sqrt (/ 1 x)) (/ (* (pow y 3) (pow (sqrt -1) 2)) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x)) (+ (* 3 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (* (sqrt (/ 1 x)) (/ (* (pow y 3) (pow (sqrt -1) 2)) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 3 (* (sqrt (/ 1 x)) (* (pow y 3) (pow (sqrt -1) 2)))) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ 3 (* (sqrt (/ 1 x)) (* (pow y 3) (pow (sqrt -1) 2)))) (* 3 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 3 (+ (* -1 (/ (- 3 (/ 1 x)) x)) (* (sqrt (/ 1 x)) (* (pow y 3) (pow (sqrt -1) 2))))) x)))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(* (pow x 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(* (pow x 2) (- (+ 1 (* -1 (/ (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) x))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(* (pow x 2) (- (+ 1 (* -1 (/ (- (+ 2 (* -1 (pow y 2))) (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))) x))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
-1
(- (+ 1 (* y (- (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ x (- 1 x))))) (* -1 (sqrt x))))) x)
(- (+ 1 (* y (- (* y (- (* -1 (* (sqrt x) (/ (* y (+ (* -1 (/ x (- 1 x))) (/ x (- 1 x)))) (- 1 x)))) (+ (* -1 (/ x (- 1 x))) (/ x (- 1 x))))) (* -1 (sqrt x))))) x)
(pow (- 1 x) 3)
(+ (* (sqrt (pow x 3)) (pow y 3)) (pow (- 1 x) 3))
(pow y 3)
(pow (- 1 x) 2)
(+ (* -1 (* (sqrt x) (* y (- 1 x)))) (pow (- 1 x) 2))
(+ (* y (+ (* -1 (* (sqrt x) (- 1 x))) (* x y))) (pow (- 1 x) 2))
x
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* y (- (+ (sqrt x) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (pow y 2)))) (* -1 (/ (- 1 x) y))))
(* y (- (+ (sqrt x) (* -1 (* (sqrt (/ 1 x)) (/ (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (- 1 x)) (pow y 3))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (+ (* -1 (/ (- 1 x) y)) (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))))))
(* (sqrt (pow x 3)) (pow y 3))
(* (pow y 3) (+ (sqrt (pow x 3)) (/ (pow (- 1 x) 3) (pow y 3))))
(* x (pow y 2))
(* (pow y 2) (+ x (* -1 (* (sqrt x) (/ (- 1 x) y)))))
(* (pow y 2) (+ x (+ (* -1 (* (sqrt x) (/ (- 1 x) y))) (/ (pow (- 1 x) 2) (pow y 2)))))
(* y (+ (sqrt x) (/ x 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 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) y))) (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) y))) (* -1 (- 1 x))) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (* -1 (/ (- (* -1 (* (sqrt (/ 1 x)) (/ (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (- 1 x)) y))) (+ (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2)))) y)) (* -1 (- 1 x))) y)))))
(* -1 (* (pow y 3) (+ (* -1 (sqrt (pow x 3))) (* -1 (/ (pow (- 1 x) 3) (pow y 3))))))
(* (pow y 2) (+ x (* -1 (/ (+ (* -1 (/ (pow (- 1 x) 2) y)) (* (sqrt x) (- 1 x))) y))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
54.0ms	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 (pow x 1/4) 2) (+ (- 1 x) (* y (pow (pow x 1/4) 2))) (* y (pow (pow x 1/4) 2)) (/ (+ (* (pow x 3/2) (pow y 3)) (pow (- 1 x) 3)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))))) (+ (* (pow x 3/2) (pow y 3)) (pow (- 1 x) 3)) (pow x 3/2) (pow y 3) (pow x 1/4) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (+ (* (sqrt x) y) x))
32.0ms	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 (pow x 1/4) 2) (+ (- 1 x) (* y (pow (pow x 1/4) 2))) (* y (pow (pow x 1/4) 2)) (/ (+ (* (pow x 3/2) (pow y 3)) (pow (- 1 x) 3)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))))) (+ (* (pow x 3/2) (pow y 3)) (pow (- 1 x) 3)) (pow x 3/2) (pow y 3) (pow x 1/4) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (+ (* (sqrt x) y) x))
26.0ms	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 (pow x 1/4) 2) (+ (- 1 x) (* y (pow (pow x 1/4) 2))) (* y (pow (pow x 1/4) 2)) (/ (+ (* (pow x 3/2) (pow y 3)) (pow (- 1 x) 3)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))))) (+ (* (pow x 3/2) (pow y 3)) (pow (- 1 x) 3)) (pow x 3/2) (pow y 3) (pow x 1/4) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (+ (* (sqrt x) y) x))
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 (pow x 1/4) 2) (+ (- 1 x) (* y (pow (pow x 1/4) 2))) (* y (pow (pow x 1/4) 2)) (/ (+ (* (pow x 3/2) (pow y 3)) (pow (- 1 x) 3)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))))) (+ (* (pow x 3/2) (pow y 3)) (pow (- 1 x) 3)) (pow x 3/2) (pow y 3) (pow x 1/4) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (+ (* (sqrt x) y) x))
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 (pow x 1/4) 2) (+ (- 1 x) (* y (pow (pow x 1/4) 2))) (* y (pow (pow x 1/4) 2)) (/ (+ (* (pow x 3/2) (pow y 3)) (pow (- 1 x) 3)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))))) (+ (* (pow x 3/2) (pow y 3)) (pow (- 1 x) 3)) (pow x 3/2) (pow y 3) (pow x 1/4) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (+ (* (sqrt x) y) x))

simplify180.0ms (3.6%)

Memory

-8.4MiB live, 179.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	468	3497
1	1548	2786
2	7038	2647
0	8464	2469

Stop Event

1×	iter limit
1×	node limit

Counts

92 → 91

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

rewrite309.0ms (6.2%)

Memory

-30.5MiB live, 360.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	156
0	60	122
1	252	118
2	1617	118
0	8930	118

Stop Event

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

Counts

18 → 780

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 (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)))
(/.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))) (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)))))
(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 x #s(literal 3/2 binary64))
(pow.f64 y #s(literal 3 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(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))))
(fma.f64 (sqrt.f64 x) y x)

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

eval102.0ms (2%)

Memory: 17.6MiB live, 172.1MiB allocated
Compiler: Compiled 31 202 to 3 015 computations (90.3% saved)

prune20.0ms (0.4%)

Memory

-17.3MiB live, 59.4MiB allocated

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	739	10	749
Fresh	2	1	3
Picked	3	2	5
Done	0	0	0
Total	744	13	757

Accuracy

100.0%

Counts

757 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64)) y (-.f64 #s(literal 1 binary64) x))
	76.5%	(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))) (/.f64 (.f64 (neg.f64 y) (.f64 y x)) (-.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))
▶	66.5%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
	69.5%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
▶	99.8%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
✓	64.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	60.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x))
	32.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
	31.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
▶	33.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶	38.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
	94.2%	#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x))

Compiler

Compiled 395 to 280 computations (29.1% saved)

simplify82.0ms (1.6%)

Memory

22.2MiB live, 60.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	168
0	46	168
1	74	156
2	132	156
3	312	156
4	838	156
5	1899	156
6	2224	156
7	2307	156
8	2425	156
9	2514	156
10	2573	156
11	2728	156
12	2920	156
13	2946	156
14	2946	156
0	2946	150

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize110.0ms (2.2%)

Memory

-20.4MiB live, 137.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.10546875	(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64))
accuracy	0.30859375	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
accuracy	3.6705361410585375	(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x)
accuracy	21.386396467757105	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.0	(neg.f64 x)
accuracy	0.06640625	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
accuracy	32.85524438254604	#s(approx (- 1 x) (neg.f64 x))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.22265625	(*.f64 (sqrt.f64 x) y)
accuracy	21.386396467757105	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
accuracy	30.21270294940333	#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y))
accuracy	22.842176691865262	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy	31.500269833447653	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.11328125	(sqrt.f64 (sqrt.f64 x))
accuracy	0.22265625	(*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
accuracy	0.5475387695368841	(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))

Samples

68.0ms

256×

valid

Compiler

Compiled 128 to 27 computations (78.9% saved)

Precisions

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

ival-div: 16.0ms (36.2% of total)

ival-mult: 10.0ms (22.6% of total)

ival-add: 5.0ms (11.3% of total)

ival-sqrt: 5.0ms (11.3% of total)

ival-pow2: 4.0ms (9.1% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series53.0ms (1.1%)

Memory

19.3MiB live, 67.6MiB allocated

Counts

18 → 32

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
34.0ms	x	@	-inf	((pow (sqrt (sqrt x)) 2) (+ (- 1 x) (* y (pow (sqrt (sqrt x)) 2))) (- 1 x) (* y (pow (sqrt (sqrt x)) 2)) (+ (- 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 (sqrt x)) y) -1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (/ 1 (sqrt x)) y) -1) x) (/ 1 (sqrt x)) (sqrt (sqrt x)))
8.0ms	x	@	inf	((pow (sqrt (sqrt x)) 2) (+ (- 1 x) (* y (pow (sqrt (sqrt x)) 2))) (- 1 x) (* y (pow (sqrt (sqrt x)) 2)) (+ (- 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 (sqrt x)) y) -1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (/ 1 (sqrt x)) y) -1) x) (/ 1 (sqrt x)) (sqrt (sqrt x)))
8.0ms	x	@	0	((pow (sqrt (sqrt x)) 2) (+ (- 1 x) (* y (pow (sqrt (sqrt x)) 2))) (- 1 x) (* y (pow (sqrt (sqrt x)) 2)) (+ (- 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 (sqrt x)) y) -1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (/ 1 (sqrt x)) y) -1) x) (/ 1 (sqrt x)) (sqrt (sqrt x)))
1.0ms	y	@	-inf	((pow (sqrt (sqrt x)) 2) (+ (- 1 x) (* y (pow (sqrt (sqrt x)) 2))) (- 1 x) (* y (pow (sqrt (sqrt x)) 2)) (+ (- 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 (sqrt x)) y) -1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (/ 1 (sqrt x)) y) -1) x) (/ 1 (sqrt x)) (sqrt (sqrt x)))
1.0ms	y	@	inf	((pow (sqrt (sqrt x)) 2) (+ (- 1 x) (* y (pow (sqrt (sqrt x)) 2))) (- 1 x) (* y (pow (sqrt (sqrt x)) 2)) (+ (- 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 (sqrt x)) y) -1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (/ 1 (sqrt x)) y) -1) x) (/ 1 (sqrt x)) (sqrt (sqrt x)))

simplify101.0ms (2%)

Memory

17.0MiB live, 128.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	213
1	205	205
2	729	201
3	2040	201
4	5384	201
0	8137	186

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 32

Calls

Call 1

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

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

rewrite240.0ms (4.8%)

Memory

-35.3MiB live, 129.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	149
0	46	144
1	170	132
2	943	132
0	8329	128

Stop Event

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

Counts

18 → 470

Calls

Call 1

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

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

eval123.0ms (2.5%)

Memory: 30.2MiB live, 106.9MiB allocated
Compiler: Compiled 15 009 to 1 589 computations (89.4% saved)

prune40.0ms (0.8%)

Memory

-6.5MiB live, 31.2MiB allocated

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	448	3	451
Fresh	2	4	6
Picked	2	3	5
Done	0	2	2
Total	452	12	464

Accuracy

100.0%

Counts

464 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.5%	(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))) (/.f64 (.f64 (neg.f64 y) (.f64 y x)) (-.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))
✓	66.5%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
▶	69.5%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
	61.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y x) (neg.f64 x)))
▶	60.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
✓	64.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	49.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 y x) y #s(literal -1 binary64)) (/.f64 x (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))))
▶	31.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓	33.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
✓	38.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
▶	94.2%	#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x))

Compiler

Compiled 335 to 223 computations (33.4% saved)

simplify115.0ms (2.3%)

Memory

-19.4MiB live, 66.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	210
0	51	210
1	81	210
2	137	210
3	276	210
4	572	206
5	1390	202
6	4278	202
7	5887	202
8	6505	202
9	7482	202
0	8131	196

Stop Event

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

Calls

Call 1

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

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

localize112.0ms (2.3%)

Memory

34.1MiB live, 108.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.109375	(/.f64 x (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))
accuracy	0.203125	(/.f64 y (sqrt.f64 x))
accuracy	14.649290612469166	(*.f64 (fma.f64 (/.f64 y x) y #s(literal -1 binary64)) (/.f64 x (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))))
accuracy	21.386396467757105	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 y x) y #s(literal -1 binary64)) (/.f64 x (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))))
accuracy	0.0	(neg.f64 x)
accuracy	0.203125	(/.f64 y (sqrt.f64 x))
accuracy	3.6666298910585375	(fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x))
accuracy	21.386396467757105	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.06640625	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy	31.500269833447653	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	0.0	(neg.f64 x)
accuracy	22.842176691865262	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
accuracy	32.85524438254604	#s(approx (- 1 x) (neg.f64 x))
accuracy	0.0	#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x))
accuracy	0.078125	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
accuracy	0.09375	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	3.6705361410585375	(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x)

Samples

71.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 165 to 28 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-sub: 28.0ms (50% of total)

ival-mult: 10.0ms (17.8% of total)

ival-div: 7.0ms (12.5% of total)

ival-add: 5.0ms (8.9% of total)

ival-sqrt: 4.0ms (7.1% of total)

ival-neg: 1.0ms (1.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series47.0ms (0.9%)

Memory

-12.6MiB live, 25.4MiB allocated

Counts

18 → 67

Calls

Call 1

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

Outputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(/ (+ 1 (* (sqrt x) y)) x)
(/ (+ 1 (+ (* -1 x) (* (sqrt x) y))) x)
(sqrt (/ 1 x))
1
(+ 1 (* -1 x))
(* -1 x)
(sqrt x)
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt (/ 1 x)) y)
(* x (+ (* x (- (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x))) (* (sqrt (/ 1 x)) y)))
(* x (+ (* x (- (+ (* -1 (* (sqrt x) (/ (- (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)) y))) (* -1 (* (sqrt (/ 1 x)) (/ 1 y)))) (/ 1 x))) (* (sqrt (/ 1 x)) y)))
(* x (+ (* x (- (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (* x (- (* -1 (* (sqrt (/ 1 x)) (/ 1 (pow y 3)))) (+ (* (sqrt (/ 1 x)) (/ (- (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)) y)) (/ 1 (* x (pow y 2))))))) (/ 1 x))) (* (sqrt (/ 1 x)) y)))
(/ (pow y 2) x)
(/ (+ (* -1 x) (pow y 2)) x)
(/ y x)
(* (sqrt (pow x 3)) (/ 1 y))
(* (pow x 2) (- (* (sqrt (/ 1 x)) (/ 1 y)) (/ 1 (pow y 2))))
(* (pow x 2) (+ (* x (- (* (sqrt (/ 1 x)) (/ 1 (pow y 3))) (/ 1 (* x (pow y 2))))) (* (sqrt (/ 1 x)) (/ 1 y))))
(* (pow x 2) (+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 3)))) (/ 1 (* x (pow y 4)))))) (/ 1 (* x (pow y 2))))) (* (sqrt (/ 1 x)) (/ 1 y))))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(- (* (sqrt (/ 1 x)) y) 1)
(- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)
(* x (- (/ 1 x) 1))
(* -1 (/ x (+ 1 (* (sqrt (/ 1 x)) y))))
(* x (- (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))))
-1
(- (/ (pow y 2) x) 1)
(/ x (+ 1 (* (sqrt (/ 1 x)) y)))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 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)) (* y (pow (sqrt -1) 2))) 1)
(- (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)) 1)
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))))
(* -1 (* x (+ (* -1 (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))
(+ (* x (- (/ 1 x) 1)) (* (sqrt x) y))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (/ 1 x) 1)
(- (* (sqrt x) y) x)
x
(+ x (* -1 (* (sqrt x) y)))
(+ x (* y (- y (sqrt x))))
(+ x (* y (- (* y (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))) (sqrt x))))
(* y (+ (sqrt x) (/ (* x (- (/ 1 x) 1)) y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* (pow y 2) (- (/ 1 x) (/ 1 (pow y 2))))
(/ (+ (sqrt (pow x 3)) (* -1 (/ (pow x 2) y))) y)
(/ (- (+ (sqrt (pow x 3)) (* (sqrt (pow x 5)) (/ 1 (pow y 2)))) (/ (pow x 2) y)) y)
(/ (- (+ (sqrt (pow x 3)) (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (* (sqrt (pow x 5)) (/ 1 (pow y 2)))) (/ (pow x 2) y))) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (* x (- (/ 1 x) 1)) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (/ 1 x) 1) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (/ (+ (* -1 (sqrt (pow x 3))) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* -1 (/ (- (* (sqrt (pow x 5)) (/ 1 y)) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (sqrt (pow x 5))) y)) (pow x 2)) y))) y))

Calls

6 calls:

Time	Variable		Point	Expression
30.0ms	x	@	0	((* (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) x) (+ (* (sqrt x) y) (- 1 x)) (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (sqrt (/ 1 x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (* (/ y (sqrt x)) x) (neg x)) (/ y (sqrt x)) (* (+ (* (/ y x) y) -1) (/ x (- (/ y (sqrt x)) -1))) (+ (- 1 x) (* y (sqrt x))) (+ (* (/ y x) y) -1) (/ y x) (/ x (- (/ y (sqrt x)) -1)))
5.0ms	x	@	-inf	((* (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) x) (+ (* (sqrt x) y) (- 1 x)) (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (sqrt (/ 1 x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (* (/ y (sqrt x)) x) (neg x)) (/ y (sqrt x)) (* (+ (* (/ y x) y) -1) (/ x (- (/ y (sqrt x)) -1))) (+ (- 1 x) (* y (sqrt x))) (+ (* (/ y x) y) -1) (/ y x) (/ x (- (/ y (sqrt x)) -1)))
3.0ms	y	@	-inf	((* (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) x) (+ (* (sqrt x) y) (- 1 x)) (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (sqrt (/ 1 x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (* (/ y (sqrt x)) x) (neg x)) (/ y (sqrt x)) (* (+ (* (/ y x) y) -1) (/ x (- (/ y (sqrt x)) -1))) (+ (- 1 x) (* y (sqrt x))) (+ (* (/ y x) y) -1) (/ y x) (/ x (- (/ y (sqrt x)) -1)))
3.0ms	x	@	inf	((* (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) x) (+ (* (sqrt x) y) (- 1 x)) (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (sqrt (/ 1 x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (* (/ y (sqrt x)) x) (neg x)) (/ y (sqrt x)) (* (+ (* (/ y x) y) -1) (/ x (- (/ y (sqrt x)) -1))) (+ (- 1 x) (* y (sqrt x))) (+ (* (/ y x) y) -1) (/ y x) (/ x (- (/ y (sqrt x)) -1)))
3.0ms	y	@	inf	((* (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) x) (+ (* (sqrt x) y) (- 1 x)) (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (sqrt (/ 1 x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (* (/ y (sqrt x)) x) (neg x)) (/ y (sqrt x)) (* (+ (* (/ y x) y) -1) (/ x (- (/ y (sqrt x)) -1))) (+ (- 1 x) (* y (sqrt x))) (+ (* (/ y x) y) -1) (/ y x) (/ x (- (/ y (sqrt x)) -1)))

simplify212.0ms (4.2%)

Memory

-0.5MiB live, 116.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	215	905
1	671	811
2	2168	787
3	6446	786
0	8357	755

Stop Event

1×	iter limit
1×	node limit

Counts

67 → 66

Calls

Call 1

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

rewrite219.0ms (4.4%)

Memory

6.5MiB live, 256.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	174
0	51	174
1	201	170
2	1452	170
0	8169	163

Stop Event

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

Counts

18 → 321

Calls

Call 1

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

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

eval74.0ms (1.5%)

Memory: 6.9MiB live, 119.4MiB allocated
Compiler: Compiled 16 319 to 1 775 computations (89.1% saved)

prune45.0ms (0.9%)

Memory

-31.7MiB live, 50.0MiB allocated

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	413	2	415
Fresh	2	0	2
Picked	0	5	5
Done	0	5	5
Total	415	12	427

Accuracy

100.0%

Counts

427 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
✓	66.5%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	69.5%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
	45.3%	(+.f64 (/.f64 (.f64 (.f64 y y) x) (-.f64 (.f64 (sqrt.f64 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))) (/.f64 (.f64 (neg.f64 #s(approx (- 1 x) #s(literal 1 binary64))) #s(approx (- 1 x) #s(literal 1 binary64))) (-.f64 (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))))
✓	60.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
	66.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (/.f64 x (sqrt.f64 x)) (neg.f64 x)))
✓	64.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓	49.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 y x) y #s(literal -1 binary64)) (/.f64 x (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))))
✓	31.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓	33.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
✓	38.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
✓	94.2%	#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x))

Compiler

Compiled 626 to 249 computations (60.2% saved)

regimes23.0ms (0.5%)

Memory

10.0MiB live, 47.8MiB allocated

Counts

24 → 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)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (/.f64 x (sqrt.f64 x)) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) 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))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 y x) y #s(literal -1 binary64)) (/.f64 x (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))))
(+.f64 (/.f64 (.f64 (.f64 y y) x) (-.f64 (.f64 (sqrt.f64 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))) (/.f64 (.f64 (neg.f64 #s(approx (- 1 x) #s(literal 1 binary64))) #s(approx (- 1 x) #s(literal 1 binary64))) (-.f64 (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) #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))) (/.f64 (.f64 (neg.f64 y) (.f64 y x)) (-.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 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64)) y (-.f64 #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))
(/.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))) (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)))))

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

Calls

3 calls:

9.0ms	x
7.0ms	y
6.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 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)

regimes8.0ms (0.2%)

Memory

17.8MiB live, 17.8MiB 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:

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

Results

Accuracy	Segments	Branch
98.6%	2	`x`
96.9%	3	`y`
98.0%	2	`(+.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

-19.3MiB live, 18.4MiB 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:

4.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
3.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
96.9%	3	`y`
85.7%	3	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
81.4%	2	`x`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes2.0ms (0%)

Memory

6.2MiB live, 6.2MiB 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:

2.0ms

Results

Accuracy	Segments	Branch
94.1%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB 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	x
2.0ms	y
2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
64.3%	1	`x`
64.3%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
64.3%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes7.0ms (0.2%)

Memory

-31.9MiB live, 12.6MiB 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:

4.0ms	x
1.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
1.0ms	y

Results

Accuracy	Segments	Branch
63.0%	2	`x`
63.6%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
38.0%	2	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB 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:

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

Results

Accuracy	Segments	Branch
33.8%	1	`y`
33.8%	1	`x`
33.8%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch13.0ms (0.3%)

Memory

22.1MiB live, 22.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0008926709015636783	1395.1833176208356

Samples

7.0ms

144×

valid

Compiler

Compiled 227 to 201 computations (11.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sub: 1.0ms (27.2% of total)

ival-add: 1.0ms (27.2% of total)

ival-mult: 1.0ms (27.2% of total)

ival-sqrt: 1.0ms (27.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch17.0ms (0.3%)

Memory

-14.7MiB live, 24.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	1.5055086215905337e+38	2.9321883092085176e+38
10.0ms	-5.341109242759757e+59	-9.584139167826856e+58

Samples

7.0ms

160×

valid

Compiler

Compiled 271 to 242 computations (10.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sub: 1.0ms (24.2% of total)

ival-add: 1.0ms (24.2% of total)

ival-mult: 1.0ms (24.2% of total)

ival-sqrt: 1.0ms (24.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch30.0ms (0.6%)

Memory

-6.2MiB live, 32.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.9321883092085176e+38	5.046305125155017e+43
11.0ms	-3.815092212230749e+94	-4.070321577179139e+90

Samples

13.0ms

272×

valid

Compiler

Compiled 623 to 505 computations (18.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sub: 2.0ms (28.8% of total)

ival-mult: 2.0ms (28.8% of total)

ival-sqrt: 2.0ms (28.8% of total)

ival-add: 1.0ms (14.4% 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

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1394.1833176208356	0.9991073290984364

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify69.0ms (1.4%)

Memory

8.6MiB live, 47.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	181
1	69	181
2	95	181
3	142	181
4	222	181
5	337	181
6	592	181
7	1109	181
8	1166	181
9	1298	181
10	1607	181
11	2047	181
12	4804	181
13	6898	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 -99999999999999997168788049560464200849936328366177157906432 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 259999999999999990369012354689972305920 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 -419999999999999971901629034413579981353529193004651369644551125264943445630632463430104121344 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 121999999999999999595841760119705542066176 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 -1000 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 -99999999999999997168788049560464200849936328366177157906432 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 259999999999999990369012354689972305920 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 -99999999999999997168788049560464200849936328366177157906432 binary64)) (not (<=.f64 y #s(literal 259999999999999990369012354689972305920 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 -419999999999999971901629034413579981353529193004651369644551125264943445630632463430104121344 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 121999999999999999595841760119705542066176 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 -419999999999999971901629034413579981353529193004651369644551125264943445630632463430104121344 binary64)) (not (<=.f64 y #s(literal 121999999999999999595841760119705542066176 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 -1000 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)))

soundness754.0ms (15.1%)

Memory

-15.6MiB live, 428.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	11	17
1	48	17
2	341	17
3	4398	17
0	8363	16
0	468	3497
1	1548	2786
2	7038	2647
0	8464	2469
0	52	128
1	140	122
2	452	122
3	1320	118
4	3735	118
5	7972	118
0	8111	107

Stop Event

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

Compiler

Compiled 265 to 129 computations (51.3% saved)

preprocess60.0ms (1.2%)

Memory: 22.7MiB live, 61.3MiB allocated
Compiler: Compiled 378 to 114 computations (69.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	19	46
1	49	46
2	93	46
3	146	46
4	203	46
5	214	46
6	222	46
0	7	8
0	11	8
1	20	8
2	32	8
3	48	8
4	63	8
5	64	8
6	66	8
0	66	7

Iter	Nodes	Cost
0	19	46
1	49	46
2	93	46
3	146	46
4	203	46
5	214	46
6	222	46
0	7	8
0	11	8
1	20	8
2	32	8
3	48	8
4	63	8
5	64	8
6	66	8
0	66	7

start0.0ms (0%)

analyze9.0ms (0.2%)

sample775.0ms (15.5%)

explain75.0ms (1.5%)

preprocess23.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize21.0ms (0.4%)

series5.0ms (0.1%)

simplify101.0ms (2%)

rewrite245.0ms (4.9%)

eval48.0ms (1%)

prune7.0ms (0.1%)

simplify205.0ms (4.1%)

localize157.0ms (3.1%)

series124.0ms (2.5%)

simplify180.0ms (3.6%)

rewrite309.0ms (6.2%)

eval102.0ms (2%)

prune20.0ms (0.4%)

simplify82.0ms (1.6%)

localize110.0ms (2.2%)

series53.0ms (1.1%)

simplify101.0ms (2%)

rewrite240.0ms (4.8%)

eval123.0ms (2.5%)

prune40.0ms (0.8%)

simplify115.0ms (2.3%)

localize112.0ms (2.3%)

series47.0ms (0.9%)

simplify212.0ms (4.2%)

rewrite219.0ms (4.4%)

eval74.0ms (1.5%)

prune45.0ms (0.9%)

regimes23.0ms (0.5%)

regimes8.0ms (0.2%)

regimes10.0ms (0.2%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

regimes7.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch13.0ms (0.3%)

bsearch17.0ms (0.3%)

bsearch30.0ms (0.6%)

bsearch0.0ms (0%)

simplify69.0ms (1.4%)

soundness754.0ms (15.1%)

preprocess60.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	46
1	49	46
2	93	46
3	146	46
4	203	46
5	214	46
6	222	46
0	7	8
0	11	8
1	20	8
2	32	8
3	48	8
4	63	8
5	64	8
6	66	8
0	66	7