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

analyze14.0ms (0.2%)

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 11 to 8 computations (27.3% saved)

Precisions

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

ival-sub: 1.0ms (24.1% of total)

ival-add: 1.0ms (24.1% of total)

ival-mult: 1.0ms (24.1% of total)

ival-sqrt: 1.0ms (24.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample885.0ms (9.6%)

Results

631.0ms	8255×	0	valid
15.0ms	232×	0	invalid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 289.0ms

ival-mult: 101.0ms (34.9% of total)

ival-sqrt: 72.0ms (24.9% of total)

ival-sub: 60.0ms (20.8% of total)

ival-add: 42.0ms (14.5% of total)

const: 11.0ms (3.8% of total)

backward-pass: 3.0ms (1% of total)

Bogosity

preprocess128.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

1764×	`fnmadd-define`
1688×	`sum5-define`
1564×	`sum4-define`
1388×	`fmsub-define`
1364×	`fnmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	56
1	59	46
2	190	44
3	660	44
4	2385	44
5	5213	44
6	6719	44
7	7150	44
8	7235	44
0	7	8
1	15	7
2	37	7
3	70	7
4	164	7
5	419	7
6	1148	7
7	1654	7
8	1917	7
9	1963	7
0	1963	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ (- 1 x) (* y (sqrt x)))

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

Call 2

Inputs
(+ (- 1 x) (* y (sqrt x)))
(+ (- 1 (neg x)) (* y (sqrt (neg x))))
(+ (- 1 x) (* (neg y) (sqrt x)))
(neg (+ (- 1 (neg x)) (* y (sqrt (neg x)))))
(neg (+ (- 1 x) (* (neg y) (sqrt x))))
(+ (- 1 y) (* x (sqrt y)))

Outputs
(+ (- 1 x) (* y (sqrt x)))
(- (fmsub y (sqrt x) -1) x)
(+ (- 1 (neg x)) (* y (sqrt (neg x))))
(fmsub y (sqrt (neg x)) (- -1 x))
(+ (- 1 x) (* (neg y) (sqrt x)))
(+ 1 (fnmsub y (sqrt x) x))
(neg (+ (- 1 (neg x)) (* y (sqrt (neg x)))))
(fnmsub y (sqrt (neg x)) (+ 1 x))
(neg (+ (- 1 x) (* (neg y) (sqrt x))))
(+ x (fmsub y (sqrt x) 1))
(+ (- 1 y) (* x (sqrt y)))
(+ 1 (fmsub x (sqrt y) y))

explain80.0ms (0.9%)

FPErrors

Click to see full error table

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

Results

52.0ms

512×

valid

Compiler

Compiled 56 to 23 computations (58.9% saved)

Precisions

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

ival-mult: 4.0ms (26.5% of total)

ival-sqrt: 4.0ms (26.5% of total)

ival-sub: 3.0ms (19.9% of total)

ival-add: 3.0ms (19.9% of total)

const: 1.0ms (6.6% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

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 10 to 7 computations (30% saved)

simplify39.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

484×	`fnmadd-define`
440×	`sum5-define`
412×	`sum3-define`
408×	`sum4-define`
352×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	15	19
2	37	19
3	70	19
4	164	19
5	419	19
6	1148	19
7	1654	19
8	1917	19
9	1963	19
0	1963	19

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (- 1 x) (* y (sqrt x)))
(- 1 x)
1
x
(* y (sqrt x))
y
(sqrt x)

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

localize36.0ms (0.4%)

Localize:

Found 4 expressions of interest:

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

Results

28.0ms

256×

valid

Compiler

Compiled 23 to 8 computations (65.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 6.0ms (50.8% of total)

ival-sub: 2.0ms (16.9% of total)

ival-sqrt: 2.0ms (16.9% of total)

ival-add: 1.0ms (8.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts

4 → 72

Calls

Call 1

Inputs
#<alt (+ (- 1 x) (* y (sqrt x)))>
#<alt (- 1 x)>
#<alt (* y (sqrt x))>
#<alt (sqrt x)>

Outputs
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (* (sqrt x) y)>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>

Calls

18 calls:

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

rewrite248.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3140×	`-lowering-.f32`
3140×	`-lowering-.f64`
2206×	`/-lowering-/.f32`
2206×	`/-lowering-/.f64`
1880×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	42	16
2	375	16
3	5982	16
0	8180	16

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 166

Calls

Call 1

Inputs
(+ (- 1 x) (* y (sqrt x)))
(- 1 x)
(* y (sqrt x))
(sqrt x)

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

simplify192.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2174×	`-lowering-.f32`
2174×	`-lowering-.f64`
1866×	`times-frac`
1650×	`sum4-define`
1392×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	347
1	148	334
2	499	328
3	1667	322
4	7139	322
0	8418	322

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval27.0ms (0.3%)

Compiler: Compiled 5756 to 549 computations (90.5% saved)

prune32.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	229	9	238
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	229	10	239

Accuracy

100.0%

Counts

239 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.2%	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 y y))) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))))
▶	61.1%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))
▶	61.4%	(-.f64 #s(literal 1 binary64) x)
▶	99.7%	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
	99.7%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓	99.9%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
▶	65.8%	(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
	38.8%	(*.f64 (sqrt.f64 x) y)
	64.6%	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))

Compiler

Compiled 256 to 159 computations (37.9% saved)

simplify199.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y (sqrt.f64 x))
✓	cost-diff	0	(-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) y)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(pow.f64 x #s(literal 1/4 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	6656	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
✓	cost-diff	6656	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))

Rules

1750×	`--lowering--.f32`
1750×	`--lowering--.f64`
1590×	`-lowering-.f32`
1590×	`-lowering-.f64`
1332×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	189
1	67	156
2	187	148
3	509	148
4	1799	148
5	7838	148
0	8562	148

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize141.0ms (1.5%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
✓	accuracy	92.4%	(-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	88.3%	(.f64 x (.f64 y y))
✓	accuracy	67.6%	(/.f64 (-.f64 (.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))
✓	accuracy	99.7%	(*.f64 y (sqrt.f64 x))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(*.f64 (sqrt.f64 x) y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(pow.f64 x #s(literal 1/4 binary64))
✓	accuracy	100.0%	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
✓	accuracy	99.6%	(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
✓	accuracy	99.5%	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y))

Results

102.0ms

256×

valid

Compiler

Compiled 196 to 24 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 12.0ms (28% of total)

ival-pow: 10.0ms (23.3% of total)

ival-div: 9.0ms (21% of total)

ival-sub: 5.0ms (11.7% of total)

ival-add: 3.0ms (7% of total)

ival-sqrt: 3.0ms (7% of total)

const: 1.0ms (2.3% of total)

backward-pass: 0.0ms (0% of total)

series151.0ms (1.6%)

Counts

17 → 372

Calls

Call 1

Inputs
#<alt (+ (- 1 x) (* (pow x 1/4) (* (pow x 1/4) y)))>
#<alt (* (pow x 1/4) (* (pow x 1/4) y))>
#<alt (- 1 x)>
#<alt (pow x 1/4)>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (* (sqrt x) y)>
#<alt (sqrt x)>
#<alt (/ 1 (/ 1 (+ (- 1 x) (* y (sqrt x)))))>
#<alt (/ 1 (+ (- 1 x) (* y (sqrt x))))>
#<alt (+ (- 1 x) (* y (sqrt x)))>
#<alt (/ 1 (/ (- (* y (sqrt x)) (- 1 x)) (- (* x (* y y)) (* (- 1 x) (- 1 x)))))>
#<alt (/ (- (* y (sqrt x)) (- 1 x)) (- (* x (* y y)) (* (- 1 x) (- 1 x))))>
#<alt (- (* y (sqrt x)) (- 1 x))>
#<alt (* y (sqrt x))>
#<alt (* (pow x 1/4) y)>
#<alt (* x (* y y))>
#<alt (- (* x (* y y)) (* (- 1 x) (- 1 x)))>

Outputs
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (* (sqrt x) y)>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
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#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- x 1) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- x 1) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- x 1) y)))))>
#<alt (- (* (sqrt x) y) 1)>
#<alt (- (+ x (* (sqrt x) y)) 1)>
#<alt (- (+ x (* (sqrt x) y)) 1)>
#<alt (- (+ x (* (sqrt x) y)) 1)>
#<alt (* x (+ 1 (* (sqrt (/ 1 x)) y)))>
#<alt (* x (- (+ 1 (* (sqrt (/ 1 x)) y)) (/ 1 x)))>
#<alt (* x (- (+ 1 (* (sqrt (/ 1 x)) y)) (/ 1 x)))>
#<alt (* x (- (+ 1 (* (sqrt (/ 1 x)) y)) (/ 1 x)))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)) 1)))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt -1>
#<alt (- (* x (+ 2 (pow y 2))) 1)>
#<alt (- (* x (+ 2 (+ (* -1 x) (pow y 2)))) 1)>
#<alt (- (* x (+ 2 (+ (* -1 x) (pow y 2)))) 1)>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ (pow y 2) x)) 1))>
#<alt (* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ (pow y 2) x)) (+ 1 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ (pow y 2) x)) (+ 1 (/ 1 (pow x 2)))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* -1 (pow y 2)) 2) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (+ (* -1 (pow y 2)) (/ 1 x)) 2) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (+ (* -1 (pow y 2)) (/ 1 x)) 2) x)) 1))>
#<alt (* -1 (pow (- 1 x) 2))>
#<alt (- (* x (pow y 2)) (pow (- 1 x) 2))>
#<alt (- (* x (pow y 2)) (pow (- 1 x) 2))>
#<alt (- (* x (pow y 2)) (pow (- 1 x) 2))>
#<alt (* x (pow y 2))>
#<alt (* (pow y 2) (+ x (* -1 (/ (pow (- 1 x) 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ x (* -1 (/ (pow (- 1 x) 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ x (* -1 (/ (pow (- 1 x) 2) (pow y 2)))))>
#<alt (* x (pow y 2))>
#<alt (* (pow y 2) (+ x (* -1 (/ (pow (- 1 x) 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ x (* -1 (/ (pow (- 1 x) 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ x (* -1 (/ (pow (- 1 x) 2) (pow y 2)))))>

Calls

93 calls:

Time	Variable		Point	Expression
52.0ms	x	@	0	(pow x 1/4)
21.0ms	y	@	0	(* (pow x 1/4) y)
20.0ms	x	@	0	(* x (* y y))
19.0ms	x	@	-inf	(pow x 1/4)
7.0ms	x	@	-inf	(/ (- (* y (sqrt x)) (- 1 x)) (- (* x (* y y)) (* (- 1 x) (- 1 x))))

rewrite541.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3178×	`/-lowering-/.f32`
3178×	`/-lowering-/.f64`
2994×	`-lowering-.f32`
2994×	`-lowering-.f64`
2014×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	135
1	178	93
2	1511	93
0	9102	93

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1460

Calls

Call 1

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

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

simplify418.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

5324×	`-lowering-.f32`
5324×	`-lowering-.f64`
3564×	`+-lowering-+.f64`
3564×	`+-lowering-+.f32`
2080×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	611	5226
1	2131	4423
0	8483	4423

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

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

eval307.0ms (3.3%)

Compiler: Compiled 84708 to 3795 computations (95.5% saved)

prune199.0ms (2.2%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	2157	12	2169
Fresh	3	1	4
Picked	3	2	5
Done	0	1	1
Total	2163	16	2179

Accuracy

100.0%

Counts

2179 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.0%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
▶	47.5%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
▶	47.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
	38.7%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
	61.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
✓	61.4%	(-.f64 #s(literal 1 binary64) x)
	34.3%	(-.f64 #s(literal 0 binary64) x)
✓	99.9%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
	65.6%	(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
	62.9%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
✓	65.8%	(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
	47.5%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
	38.8%	(*.f64 (sqrt.f64 x) y)
▶	88.1%	(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
▶	64.6%	(.f64 x (+.f64 (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
▶	28.4%	#s(literal 1 binary64)

Compiler

Compiled 311 to 205 computations (34.1% saved)

simplify160.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
✓	cost-diff	0	(.f64 x (+.f64 (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
✓	cost-diff	0	(-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	cost-diff	384	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) x) y)
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
✓	cost-diff	128	(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))

Rules

1840×	`-lowering-.f32`
1840×	`-lowering-.f64`
1586×	`+-lowering-+.f64`
1586×	`+-lowering-+.f32`
1556×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	132
1	76	132
2	159	131
3	417	127
4	1527	127
0	8366	127

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize143.0ms (1.6%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.6%	(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	92.8%	(.f64 x (+.f64 (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
✓	accuracy	92.4%	(-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	88.3%	(.f64 x (.f64 y y))
✓	accuracy	81.7%	(/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	80.7%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) x) y)
✓	accuracy	100.0%	(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
✓	accuracy	88.1%	(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))

Results

109.0ms

256×

valid

Compiler

Compiled 166 to 26 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 18.0ms (36.6% of total)

ival-mult: 12.0ms (24.4% of total)

ival-sub: 9.0ms (18.3% of total)

ival-add: 6.0ms (12.2% of total)

ival-sqrt: 4.0ms (8.1% of total)

const: 1.0ms (2% of total)

backward-pass: 0.0ms (0% of total)

series21.0ms (0.2%)

Counts

17 → 324

Calls

Call 1

Inputs
#<alt (* y (+ (sqrt x) (/ (- 1 x) y)))>
#<alt (+ (sqrt x) (/ (- 1 x) y))>
#<alt (sqrt x)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 (* x x)) (+ 1 x))>
#<alt (- 1 (* x x))>
#<alt (* x x)>
#<alt (+ 1 x)>
#<alt (/ 1 (/ (+ x -1) (- (* x (* y y)) (* (- 1 x) (- 1 x)))))>
#<alt (/ (+ x -1) (- (* x (* y y)) (* (- 1 x) (- 1 x))))>
#<alt (+ x -1)>
#<alt (- (* x (* y y)) (* (- 1 x) (- 1 x)))>
#<alt (* x (+ (* y (sqrt (/ 1 x))) -1))>
#<alt (+ (* y (sqrt (/ 1 x))) -1)>
#<alt (* y (sqrt (/ 1 x)))>
#<alt (sqrt (/ 1 x))>
#<alt (* x (* y y))>

Outputs
#<alt (- 1 x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (* (sqrt x) y)>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* y (+ (sqrt x) (/ 1 y)))>
#<alt (+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))>
#<alt (+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))>
#<alt (+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))>
#<alt (* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))>
#<alt (* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))>
#<alt (* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))>
#<alt (* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))>
#<alt (* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))>
#<alt (* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))>
#<alt (* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))>
#<alt (* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))>
#<alt (+ (sqrt x) (/ 1 y))>
#<alt (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))>
#<alt (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))>
#<alt (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))>
#<alt (* x (- (sqrt (/ 1 x)) (/ 1 y)))>
#<alt (* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))>
#<alt (* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))>
#<alt (* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))>
#<alt (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))>
#<alt (* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y)))))>
#<alt (/ (- 1 x) y)>
#<alt (/ (- (+ 1 (* (sqrt x) y)) x) y)>
#<alt (/ (- (+ 1 (* (sqrt x) y)) x) y)>
#<alt (/ (- (+ 1 (* (sqrt x) y)) x) y)>
#<alt (sqrt x)>
#<alt (- (+ (sqrt x) (/ 1 y)) (/ x y))>
#<alt (- (+ (sqrt x) (/ 1 y)) (/ x y))>
#<alt (- (+ (sqrt x) (/ 1 y)) (/ x y))>
#<alt (sqrt x)>
#<alt (- (+ (sqrt x) (/ 1 y)) (/ x y))>
#<alt (- (+ (sqrt x) (/ 1 y)) (/ x y))>
#<alt (- (+ (sqrt x) (/ 1 y)) (/ x y))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ x y)) (/ 1 y))>
#<alt (+ (* -1 (/ x y)) (/ 1 y))>
#<alt (+ (* -1 (/ x y)) (/ 1 y))>
#<alt (* -1 (/ x y))>
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))>
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))>
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* x (+ 1 (* -1 (+ 2 (pow y 2))))))>
#<alt (+ 1 (* x (+ 1 (+ (* -1 (+ 2 (pow y 2))) (* x (- 1 (* -1 (+ 1 (* -1 (+ 2 (pow y 2)))))))))))>
#<alt (+ 1 (* x (+ 1 (+ (* -1 (+ 2 (pow y 2))) (* x (- (+ 1 (* x (- 1 (* -1 (+ 1 (* -1 (+ 2 (pow y 2)))))))) (* -1 (+ 1 (* -1 (+ 2 (pow y 2)))))))))))>
#<alt (* -1 x)>
#<alt (* x (- (+ (/ 1 x) (/ (pow y 2) x)) 1))>
#<alt (* x (- (+ (* -1 (/ (+ 1 (* -1 (+ 1 (pow y 2)))) (pow x 2))) (+ (/ 1 x) (/ (pow y 2) x))) 1))>
#<alt (* x (- (+ (* -1 (/ (+ 1 (* -1 (+ 1 (pow y 2)))) (pow x 3))) (+ (/ 1 x) (/ (pow y 2) x))) (+ 1 (+ (* -1 (/ (+ 1 (pow y 2)) (pow x 2))) (/ 1 (pow x 2))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (pow y 2) x))) (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (pow y 2)) 1)) (/ (pow y 2) x)) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (pow y 2)) 1)) (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* -1 (pow y 2))) x))) x)))))>
#<alt (* -1 (/ (pow (- 1 x) 2) (- x 1)))>
#<alt (+ (* -1 (/ (pow (- 1 x) 2) (- x 1))) (/ (* x (pow y 2)) (- x 1)))>
#<alt (+ (* -1 (/ (pow (- 1 x) 2) (- x 1))) (/ (* x (pow y 2)) (- x 1)))>
#<alt (+ (* -1 (/ (pow (- 1 x) 2) (- x 1))) (/ (* x (pow y 2)) (- x 1)))>
#<alt (/ (* x (pow y 2)) (- x 1))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow (- 1 x) 2) (* (pow y 2) (- x 1)))) (/ x (- x 1))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow (- 1 x) 2) (* (pow y 2) (- x 1)))) (/ x (- x 1))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow (- 1 x) 2) (* (pow y 2) (- x 1)))) (/ x (- x 1))))>
#<alt (/ (* x (pow y 2)) (- x 1))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow (- 1 x) 2) (* (pow y 2) (- x 1)))) (/ x (- x 1))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow (- 1 x) 2) (* (pow y 2) (- x 1)))) (/ x (- x 1))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow (- 1 x) 2) (* (pow y 2) (- x 1)))) (/ x (- x 1))))>
#<alt 1>
#<alt (+ 1 (* -1 (* x (+ 1 (* -1 (+ 2 (pow y 2)))))))>
#<alt (+ 1 (* x (- (* -1 (* x (+ 1 (* (+ 1 (* -1 (+ 2 (pow y 2)))) (+ 2 (pow y 2)))))) (+ 1 (* -1 (+ 2 (pow y 2)))))))>
#<alt (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (+ 1 (* -1 (+ 2 (pow y 2))))) (* (+ 1 (* (+ 1 (* -1 (+ 2 (pow y 2)))) (+ 2 (pow y 2)))) (+ 2 (pow y 2)))))) (+ 1 (* (+ 1 (* -1 (+ 2 (pow y 2)))) (+ 2 (pow y 2)))))) (+ 1 (* -1 (+ 2 (pow y 2)))))))>
#<alt (/ -1 x)>
#<alt (/ (- (* -1 (/ (+ 1 (pow y 2)) x)) 1) x)>
#<alt (/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (+ (/ (* (+ 1 (pow y 2)) (+ 2 (pow y 2))) (pow x 2)) (/ (pow y 2) x))))) x)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (+ 2 (pow y 2)) (- 1 (* (+ 1 (pow y 2)) (+ 2 (pow y 2)))))) (* -1 (+ 1 (pow y 2)))) (pow x 3))) (/ 1 (pow x 2))) (+ 1 (+ (/ 1 x) (+ (/ (* (+ 1 (pow y 2)) (+ 2 (pow y 2))) (pow x 2)) (/ (pow y 2) x))))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (- (+ 1 (/ 1 x)) (* -1 (/ (pow y 2) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (- 1 (* -1 (pow y 2)))) (/ 1 x)) (* -1 (/ (* (- 1 (* -1 (pow y 2))) (- (* -1 (pow y 2)) 2)) x))) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (- 1 (* -1 (pow y 2)))) (* -1 (/ (- (+ (* -1 (- 1 (* -1 (* (- 1 (* -1 (pow y 2))) (- (* -1 (pow y 2)) 2))))) (* -1 (/ (pow y 2) x))) (+ (* -1 (/ (* (- 1 (* -1 (* (- 1 (* -1 (pow y 2))) (- (* -1 (pow y 2)) 2)))) (- (* -1 (pow y 2)) 2)) x)) (/ 1 x))) x))) x))) x))>
#<alt (* -1 (/ (- x 1) (pow (- 1 x) 2)))>
#<alt (+ (* -1 (/ (* x (* (pow y 2) (- x 1))) (pow (- 1 x) 4))) (* -1 (/ (- x 1) (pow (- 1 x) 2))))>
#<alt (+ (* -1 (/ (- x 1) (pow (- 1 x) 2))) (* (pow y 2) (- (* -1 (/ (* (pow x 2) (* (pow y 2) (- x 1))) (pow (- 1 x) 6))) (/ (* x (- x 1)) (pow (- 1 x) 4)))))>
#<alt (+ (* -1 (/ (- x 1) (pow (- 1 x) 2))) (* (pow y 2) (- (* (pow y 2) (- (* -1 (/ (* (pow x 3) (* (pow y 2) (- x 1))) (pow (- 1 x) 8))) (/ (* (pow x 2) (- x 1)) (pow (- 1 x) 6)))) (/ (* x (- x 1)) (pow (- 1 x) 4)))))>
#<alt (/ (- x 1) (* x (pow y 2)))>
#<alt (/ (- (+ 1 (/ (* (pow (- 1 x) 2) (- x 1)) (* (pow x 2) (pow y 2)))) (/ 1 x)) (pow y 2))>
#<alt (/ (- (+ 1 (/ (* (pow (- 1 x) 4) (- x 1)) (* (pow x 3) (pow y 4)))) (+ (* -1 (/ (* (pow (- 1 x) 2) (- x 1)) (* (pow x 2) (pow y 2)))) (/ 1 x))) (pow y 2))>
#<alt (/ (- (+ 1 (/ (* (pow (- 1 x) 6) (- x 1)) (* (pow x 4) (pow y 6)))) (+ (* -1 (/ (* (pow (- 1 x) 2) (- x 1)) (* (pow x 2) (pow y 2)))) (+ (* -1 (/ (* (pow (- 1 x) 4) (- x 1)) (* (pow x 3) (pow y 4)))) (/ 1 x)))) (pow y 2))>
#<alt (/ (- x 1) (* x (pow y 2)))>
#<alt (/ (- (+ 1 (/ (* (pow (- 1 x) 2) (- x 1)) (* (pow x 2) (pow y 2)))) (/ 1 x)) (pow y 2))>
#<alt (/ (- (+ 1 (/ (* (pow (- 1 x) 4) (- x 1)) (* (pow x 3) (pow y 4)))) (+ (* -1 (/ (* (pow (- 1 x) 2) (- x 1)) (* (pow x 2) (pow y 2)))) (/ 1 x))) (pow y 2))>
#<alt (/ (- (+ 1 (/ (* (pow (- 1 x) 6) (- x 1)) (* (pow x 4) (pow y 6)))) (+ (* -1 (/ (* (pow (- 1 x) 2) (- x 1)) (* (pow x 2) (pow y 2)))) (+ (* -1 (/ (* (pow (- 1 x) 4) (- x 1)) (* (pow x 3) (pow y 4)))) (/ 1 x)))) (pow y 2))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt -1>
#<alt (- (* x (+ 2 (pow y 2))) 1)>
#<alt (- (* x (+ 2 (+ (* -1 x) (pow y 2)))) 1)>
#<alt (- (* x (+ 2 (+ (* -1 x) (pow y 2)))) 1)>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ (pow y 2) x)) 1))>
#<alt (* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ (pow y 2) x)) (+ 1 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ (pow y 2) x)) (+ 1 (/ 1 (pow x 2)))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* -1 (pow y 2)) 2) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (+ (* -1 (pow y 2)) (/ 1 x)) 2) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (+ (* -1 (pow y 2)) (/ 1 x)) 2) x)) 1))>
#<alt (* -1 (pow (- 1 x) 2))>
#<alt (- (* x (pow y 2)) (pow (- 1 x) 2))>
#<alt (- (* x (pow y 2)) (pow (- 1 x) 2))>
#<alt (- (* x (pow y 2)) (pow (- 1 x) 2))>
#<alt (* x (pow y 2))>
#<alt (* (pow y 2) (+ x (* -1 (/ (pow (- 1 x) 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ x (* -1 (/ (pow (- 1 x) 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ x (* -1 (/ (pow (- 1 x) 2) (pow y 2)))))>
#<alt (* x (pow y 2))>
#<alt (* (pow y 2) (+ x (* -1 (/ (pow (- 1 x) 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ x (* -1 (/ (pow (- 1 x) 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ x (* -1 (/ (pow (- 1 x) 2) (pow y 2)))))>
#<alt (* (sqrt x) y)>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (* (sqrt x) y)>
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))>
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))>
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))>
#<alt -1>
#<alt (- (* (sqrt (/ 1 x)) y) 1)>
#<alt (- (* (sqrt (/ 1 x)) y) 1)>
#<alt (- (* (sqrt (/ 1 x)) y) 1)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* y (- (sqrt (/ 1 x)) (/ 1 y)))>
#<alt (* y (- (sqrt (/ 1 x)) (/ 1 y)))>
#<alt (* y (- (sqrt (/ 1 x)) (/ 1 y)))>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (/ (+ (* -1 x) (* (sqrt x) y)) x)>
#<alt (/ (+ (* -1 x) (* (sqrt x) y)) x)>
#<alt (/ (+ (* -1 x) (* (sqrt x) y)) x)>
#<alt (- (* (sqrt (/ 1 x)) y) 1)>
#<alt (- (* (sqrt (/ 1 x)) y) 1)>
#<alt (- (* (sqrt (/ 1 x)) y) 1)>
#<alt (- (* (sqrt (/ 1 x)) y) 1)>
#<alt (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)>
#<alt (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)>
#<alt (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)>
#<alt (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>

Calls

81 calls:

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

rewrite427.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3352×	`/-lowering-/.f32`
3352×	`/-lowering-/.f64`
3026×	`-lowering-.f32`
3026×	`-lowering-.f64`
1488×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	99
1	185	94
2	1685	92
0	8369	92

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 721

Calls

Call 1

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

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

simplify385.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

3956×	`-lowering-.f32`
3956×	`-lowering-.f64`
1724×	`+-lowering-+.f64`
1724×	`+-lowering-+.f32`
1652×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	334	3145
1	1140	2558
2	4419	2493
0	8959	2493

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

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

eval198.0ms (2.1%)

Compiler: Compiled 25758 to 2639 computations (89.8% saved)

prune179.0ms (1.9%)

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	1024	21	1045
Fresh	4	4	8
Picked	4	1	5
Done	1	2	3
Total	1033	28	1061

Accuracy

100.0%

Counts

1061 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.8%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
	47.9%	(/.f64 (-.f64 (.f64 y (.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64)))
	45.9%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
	21.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x)
	30.9%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
	5.8%	(/.f64 (.f64 x (.f64 y y)) (+.f64 x #s(literal -1 binary64)))
	37.8%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal -1 binary64) x))) (-.f64 (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
	47.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 (.f64 y x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
	5.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (.f64 y y))))
	47.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (+.f64 x #s(literal 1 binary64))))
▶	46.9%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
	42.4%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (.f64 y x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (+.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
	38.7%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
	34.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
	37.2%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y x) (.f64 y x))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 y (.f64 y x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
▶	71.7%	(-.f64 (*.f64 (sqrt.f64 x) y) x)
✓	61.4%	(-.f64 #s(literal 1 binary64) x)
▶	34.3%	(-.f64 #s(literal 0 binary64) x)
	62.9%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
✓	65.8%	(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
	57.4%	(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 y y))))
	64.6%	(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x))) x)
	38.8%	(*.f64 (sqrt.f64 x) y)
▶	88.1%	(.f64 y (+.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
	65.8%	(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
▶	59.5%	(.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) x)))
	31.8%	(.f64 x (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
✓	28.4%	#s(literal 1 binary64)

Compiler

Compiled 876 to 503 computations (42.6% saved)

simplify244.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) y)
✓	cost-diff	0	(-.f64 (*.f64 (sqrt.f64 x) y) x)
✓	cost-diff	0	(+.f64 (*.f64 x x) #s(literal -1 binary64))
✓	cost-diff	512	(.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	512	(/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	cost-diff	896	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 y y))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)) x)
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)) x))
✓	cost-diff	128	(.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) x)))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	0	(pow.f64 x #s(literal -1/2 binary64))
✓	cost-diff	192	(*.f64 (pow.f64 x #s(literal -1/2 binary64)) x)
✓	cost-diff	192	(+.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
✓	cost-diff	320	(.f64 y (+.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))

Rules

2076×	`-lowering-.f32`
2076×	`-lowering-.f64`
1992×	`fma-lowering-fma.f32`
1992×	`fma-lowering-fma.f64`
1804×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	174
1	91	167
2	218	151
3	770	144
4	4713	144
0	8167	144

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* y (+ (* (pow x -1/2) x) (/ (- 1 x) y)))
y
(+ (* (pow x -1/2) x) (/ (- 1 x) y))
(* (pow x -1/2) x)
(pow x -1/2)
x
-1/2
(/ (- 1 x) y)
(- 1 x)
1
(- 0 x)
0
x
(* x (+ -1 (/ (+ 1 (* y y)) x)))
x
(+ -1 (/ (+ 1 (* y y)) x))
-1
(/ (+ 1 (* y y)) x)
(+ 1 (* y y))
1
(* y y)
y
(/ 1 (/ (* (+ (* x x) -1) (/ 1 (+ x 1))) (- (* x (* y y)) (* (- 1 x) (- 1 x)))))
1
(/ (* (+ (* x x) -1) (/ 1 (+ x 1))) (- (* x (* y y)) (* (- 1 x) (- 1 x))))
(* (+ (* x x) -1) (/ 1 (+ x 1)))
(+ (* x x) -1)
(* x x)
x
-1
(/ 1 (+ x 1))
(+ x 1)
(- (* x (* y y)) (* (- 1 x) (- 1 x)))
(* x (* y y))
(* y y)
y
(* (- 1 x) (- 1 x))
(- 1 x)
(- (* (sqrt x) y) x)
(* (sqrt x) y)
(sqrt x)
x
y

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

localize252.0ms (2.7%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(-.f64 (*.f64 (sqrt.f64 x) y) x)
✓	accuracy	99.7%	(*.f64 (sqrt.f64 x) y)
✓	accuracy	92.4%	(-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	88.3%	(.f64 x (.f64 y y))
✓	accuracy	81.7%	(/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	accuracy	80.7%	(.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)) x))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	95.6%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)) x)
✓	accuracy	94.1%	(.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) x)))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) x) y)
✓	accuracy	100.0%	(+.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
✓	accuracy	99.5%	(*.f64 (pow.f64 x #s(literal -1/2 binary64)) x)
✓	accuracy	88.1%	(.f64 y (+.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))

Results

212.0ms

256×

valid

Compiler

Compiled 219 to 32 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-sub: 33.0ms (32.3% of total)

ival-pow: 29.0ms (28.4% of total)

ival-mult: 23.0ms (22.5% of total)

ival-div: 8.0ms (7.8% of total)

ival-add: 6.0ms (5.9% of total)

ival-sqrt: 2.0ms (2% of total)

const: 1.0ms (1% of total)

backward-pass: 0.0ms (0% of total)

series29.0ms (0.3%)

Counts

20 → 384

Calls

Call 1

Inputs
#<alt (* y (+ (* (pow x -1/2) x) (/ (- 1 x) y)))>
#<alt (+ (* (pow x -1/2) x) (/ (- 1 x) y))>
#<alt (* (pow x -1/2) x)>
#<alt (pow x -1/2)>
#<alt (- 0 x)>
#<alt (* x (+ -1 (/ (+ 1 (* y y)) x)))>
#<alt (+ -1 (/ (+ 1 (* y y)) x))>
#<alt (/ (+ 1 (* y y)) x)>
#<alt (+ 1 (* y y))>
#<alt (/ 1 (/ (* (+ (* x x) -1) (/ 1 (+ x 1))) (- (* x (* y y)) (* (- 1 x) (- 1 x)))))>
#<alt (/ (* (+ (* x x) -1) (/ 1 (+ x 1))) (- (* x (* y y)) (* (- 1 x) (- 1 x))))>
#<alt (* (+ (* x x) -1) (/ 1 (+ x 1)))>
#<alt (+ (* x x) -1)>
#<alt (- (* (sqrt x) y) x)>
#<alt (* (sqrt x) y)>
#<alt (sqrt x)>
#<alt (/ (- 1 x) y)>
#<alt (* y y)>
#<alt (* x (* y y))>
#<alt (- (* x (* y y)) (* (- 1 x) (- 1 x)))>

Outputs
#<alt (- 1 x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (* (sqrt x) y)>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* y (+ (sqrt x) (/ 1 y)))>
#<alt (+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))>
#<alt (+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))>
#<alt (+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))>
#<alt (* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))>
#<alt (* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))>
#<alt (* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))>
#<alt (* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))>
#<alt (* -1 (* x (* y (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 y)))))>
#<alt (* -1 (* x (- (* y (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 y))) (/ 1 x))))>
#<alt (* -1 (* x (- (* y (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 y))) (/ 1 x))))>
#<alt (* -1 (* x (- (* y (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 y))) (/ 1 x))))>
#<alt (+ (sqrt x) (/ 1 y))>
#<alt (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))>
#<alt (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))>
#<alt (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))>
#<alt (* x (- (sqrt (/ 1 x)) (/ 1 y)))>
#<alt (* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))>
#<alt (* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))>
#<alt (* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))>
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 y))))>
#<alt (* -1 (* x (- (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 y)) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 y)) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 y)) (/ 1 (* x y)))))>
#<alt (/ (- 1 x) y)>
#<alt (/ (- (+ 1 (* (sqrt x) y)) x) y)>
#<alt (/ (- (+ 1 (* (sqrt x) y)) x) y)>
#<alt (/ (- (+ 1 (* (sqrt x) y)) x) y)>
#<alt (sqrt x)>
#<alt (- (+ (sqrt x) (/ 1 y)) (/ x y))>
#<alt (- (+ (sqrt x) (/ 1 y)) (/ x y))>
#<alt (- (+ (sqrt x) (/ 1 y)) (/ x y))>
#<alt (sqrt x)>
#<alt (- (+ (sqrt x) (/ 1 y)) (/ x y))>
#<alt (- (+ (sqrt x) (/ 1 y)) (/ x y))>
#<alt (- (+ (sqrt x) (/ 1 y)) (/ x y))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (+ 1 (pow y 2))>
#<alt (+ 1 (+ (* -1 x) (pow y 2)))>
#<alt (+ 1 (+ (* -1 x) (pow y 2)))>
#<alt (+ 1 (+ (* -1 x) (pow y 2)))>
#<alt (* -1 x)>
#<alt (* x (- (+ (/ 1 x) (/ (pow y 2) x)) 1))>
#<alt (* x (- (+ (/ 1 x) (/ (pow y 2) x)) 1))>
#<alt (* x (- (+ (/ 1 x) (/ (pow y 2) x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 (pow y 2)) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 (pow y 2)) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 (pow y 2)) x)))))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (+ (* x (- (/ 1 x) 1)) (pow y 2))>
#<alt (+ (* x (- (/ 1 x) 1)) (pow y 2))>
#<alt (+ (* x (- (/ 1 x) 1)) (pow y 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (* x (- (/ 1 x) 1)) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (* x (- (/ 1 x) 1)) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (* x (- (/ 1 x) 1)) (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (* x (- (/ 1 x) 1)) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (* x (- (/ 1 x) 1)) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (* x (- (/ 1 x) 1)) (pow y 2))))>
#<alt (- (/ 1 x) 1)>
#<alt (- (+ (/ 1 x) (/ (pow y 2) x)) 1)>
#<alt (- (+ (/ 1 x) (/ (pow y 2) x)) 1)>
#<alt (- (+ (/ 1 x) (/ (pow y 2) x)) 1)>
#<alt (/ (pow y 2) x)>
#<alt (* (pow y 2) (- (+ (/ 1 x) (/ 1 (* x (pow y 2)))) (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- (+ (/ 1 x) (/ 1 (* x (pow y 2)))) (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- (+ (/ 1 x) (/ 1 (* x (pow y 2)))) (/ 1 (pow y 2))))>
#<alt (/ (pow y 2) x)>
#<alt (* (pow y 2) (- (+ (/ 1 x) (/ 1 (* x (pow y 2)))) (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- (+ (/ 1 x) (/ 1 (* x (pow y 2)))) (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- (+ (/ 1 x) (/ 1 (* x (pow y 2)))) (/ 1 (pow y 2))))>
#<alt (/ (+ 1 (pow y 2)) x)>
#<alt (/ (+ 1 (+ (* -1 x) (pow y 2))) x)>
#<alt (/ (+ 1 (+ (* -1 x) (pow y 2))) x)>
#<alt (/ (+ 1 (+ (* -1 x) (pow y 2))) x)>
#<alt -1>
#<alt (- (+ (/ 1 x) (/ (pow y 2) x)) 1)>
#<alt (- (+ (/ 1 x) (/ (pow y 2) x)) 1)>
#<alt (- (+ (/ 1 x) (/ (pow y 2) x)) 1)>
#<alt -1>
#<alt (- (+ (/ 1 x) (/ (pow y 2) x)) 1)>
#<alt (- (+ (/ 1 x) (/ (pow y 2) x)) 1)>
#<alt (- (+ (/ 1 x) (/ (pow y 2) x)) 1)>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ (pow y 2) x))>
#<alt (+ (/ 1 x) (/ (pow y 2) x))>
#<alt (+ (/ 1 x) (/ (pow y 2) x))>
#<alt (/ (pow y 2) x)>
#<alt (* (pow y 2) (+ (/ 1 x) (/ 1 (* x (pow y 2)))))>
#<alt (* (pow y 2) (+ (/ 1 x) (/ 1 (* x (pow y 2)))))>
#<alt (* (pow y 2) (+ (/ 1 x) (/ 1 (* x (pow y 2)))))>
#<alt (/ (pow y 2) x)>
#<alt (* (pow y 2) (+ (/ 1 x) (/ 1 (* x (pow y 2)))))>
#<alt (* (pow y 2) (+ (/ 1 x) (/ 1 (* x (pow y 2)))))>
#<alt (* (pow y 2) (+ (/ 1 x) (/ 1 (* x (pow y 2)))))>
#<alt (/ (+ 1 (pow y 2)) x)>
#<alt (/ (+ 1 (pow y 2)) x)>
#<alt (/ (+ 1 (pow y 2)) x)>
#<alt (/ (+ 1 (pow y 2)) x)>
#<alt (/ (+ 1 (pow y 2)) x)>
#<alt (/ (+ 1 (pow y 2)) x)>
#<alt (/ (+ 1 (pow y 2)) x)>
#<alt (/ (+ 1 (pow y 2)) x)>
#<alt (/ (+ 1 (pow y 2)) x)>
#<alt (/ (+ 1 (pow y 2)) x)>
#<alt (/ (+ 1 (pow y 2)) x)>
#<alt (/ (+ 1 (pow y 2)) x)>
#<alt 1>
#<alt (+ 1 (pow y 2))>
#<alt (+ 1 (pow y 2))>
#<alt (+ 1 (pow y 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ 1 (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ 1 (pow y 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (* x (+ 1 (pow y 2)))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 (pow y 2))) (* x (+ 1 (* -1 (+ 1 (pow y 2))))))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 (pow y 2))) (* x (+ 1 (+ (* -1 (* x (pow y 2))) (* -1 (+ 1 (pow y 2)))))))))>
#<alt (* -1 x)>
#<alt (* x (- (+ (/ 1 x) (/ (pow y 2) x)) 1))>
#<alt (* x (- (+ (/ 1 x) (+ (/ (pow y 2) x) (/ (pow y 2) (pow x 2)))) 1))>
#<alt (* x (- (+ (* -1 (/ (+ 1 (* -1 (+ 1 (pow y 2)))) (pow x 3))) (+ (/ 1 x) (+ (/ (pow y 2) x) (/ (pow y 2) (pow x 2))))) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (- (* -1 (pow y 2)) 2)) 1) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (pow y 2)) 2)) (/ (pow y 2) x)) 1) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (pow y 2)) 2)) (* -1 (/ (+ (* -1 (/ (- (* -1 (- (* -1 (pow y 2)) 2)) 1) x)) (+ (* -1 (pow y 2)) (/ 1 x))) x))) 1) x)))))>
#<alt (* -1 (/ (* (+ 1 x) (pow (- 1 x) 2)) (- (pow x 2) 1)))>
#<alt (+ (* -1 (/ (* (+ 1 x) (pow (- 1 x) 2)) (- (pow x 2) 1))) (/ (* x (* (pow y 2) (+ 1 x))) (- (pow x 2) 1)))>
#<alt (+ (* -1 (/ (* (+ 1 x) (pow (- 1 x) 2)) (- (pow x 2) 1))) (/ (* x (* (pow y 2) (+ 1 x))) (- (pow x 2) 1)))>
#<alt (+ (* -1 (/ (* (+ 1 x) (pow (- 1 x) 2)) (- (pow x 2) 1))) (/ (* x (* (pow y 2) (+ 1 x))) (- (pow x 2) 1)))>
#<alt (/ (* x (* (pow y 2) (+ 1 x))) (- (pow x 2) 1))>
#<alt (* (pow y 2) (+ (* -1 (/ (* (+ 1 x) (pow (- 1 x) 2)) (* (pow y 2) (- (pow x 2) 1)))) (/ (* x (+ 1 x)) (- (pow x 2) 1))))>
#<alt (* (pow y 2) (+ (* -1 (/ (* (+ 1 x) (pow (- 1 x) 2)) (* (pow y 2) (- (pow x 2) 1)))) (/ (* x (+ 1 x)) (- (pow x 2) 1))))>
#<alt (* (pow y 2) (+ (* -1 (/ (* (+ 1 x) (pow (- 1 x) 2)) (* (pow y 2) (- (pow x 2) 1)))) (/ (* x (+ 1 x)) (- (pow x 2) 1))))>
#<alt (/ (* x (* (pow y 2) (+ 1 x))) (- (pow x 2) 1))>
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#<alt (* (pow y 2) (+ (* -1 (/ (* (+ 1 x) (pow (- 1 x) 2)) (* (pow y 2) (- (pow x 2) 1)))) (/ (* x (+ 1 x)) (- (pow x 2) 1))))>
#<alt (* (pow y 2) (+ (* -1 (/ (* (+ 1 x) (pow (- 1 x) 2)) (* (pow y 2) (- (pow x 2) 1)))) (/ (* x (+ 1 x)) (- (pow x 2) 1))))>
#<alt 1>
#<alt (+ 1 (* x (+ 1 (pow y 2))))>
#<alt (+ 1 (* x (- (* -1 (* x (+ 1 (+ (* -1 (+ 1 (pow y 2))) (* -1 (pow (+ 1 (pow y 2)) 2)))))) (* -1 (+ 1 (pow y 2))))))>
#<alt (+ 1 (* x (- (* x (- (* -1 (* x (+ 1 (+ (* -1 (pow (+ 1 (pow y 2)) 2)) (* (+ 1 (+ (* -1 (+ 1 (pow y 2))) (* -1 (pow (+ 1 (pow y 2)) 2)))) (+ 1 (pow y 2))))))) (+ 1 (+ (* -1 (+ 1 (pow y 2))) (* -1 (pow (+ 1 (pow y 2)) 2)))))) (* -1 (+ 1 (pow y 2))))))>
#<alt (/ -1 x)>
#<alt (/ (- (* -1 (/ (+ 1 (pow y 2)) x)) 1) x)>
#<alt (/ (- (* -1 (/ (+ (pow y 2) (pow (+ 1 (pow y 2)) 2)) (pow x 2))) (+ 1 (+ (/ 1 x) (/ (pow y 2) x)))) x)>
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#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1 (* -1 (- (* -1 (pow y 2)) 2))) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ 1 (+ (* -1 (/ (pow y 2) x)) (/ (* (- 1 (* -1 (- (* -1 (pow y 2)) 2))) (- (* -1 (- (* -1 (pow y 2)) 2)) 1)) x))) (* -1 (- (* -1 (pow y 2)) 2))) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (+ (* -1 (* (+ (* -1 (pow y 2)) (* (- 1 (* -1 (- (* -1 (pow y 2)) 2))) (- (* -1 (- (* -1 (pow y 2)) 2)) 1))) (- (* -1 (- (* -1 (pow y 2)) 2)) 1))) (* (- 1 (* -1 (- (* -1 (pow y 2)) 2))) (- (* -1 (pow y 2)) 1)))) x)) (+ (* -1 (pow y 2)) (* (- 1 (* -1 (- (* -1 (pow y 2)) 2))) (- (* -1 (- (* -1 (pow y 2)) 2)) 1)))) x))) (* -1 (- (* -1 (pow y 2)) 2))) x))) x))>
#<alt (* -1 (/ (- (pow x 2) 1) (* (+ 1 x) (pow (- 1 x) 2))))>
#<alt (+ (* -1 (/ (* x (* (pow y 2) (- (pow x 2) 1))) (* (+ 1 x) (pow (- 1 x) 4)))) (* -1 (/ (- (pow x 2) 1) (* (+ 1 x) (pow (- 1 x) 2)))))>
#<alt (+ (* -1 (/ (- (pow x 2) 1) (* (+ 1 x) (pow (- 1 x) 2)))) (* (pow y 2) (- (* -1 (/ (* (pow x 2) (* (pow y 2) (- (pow x 2) 1))) (* (+ 1 x) (pow (- 1 x) 6)))) (/ (* x (- (pow x 2) 1)) (* (+ 1 x) (pow (- 1 x) 4))))))>
#<alt (+ (* -1 (/ (- (pow x 2) 1) (* (+ 1 x) (pow (- 1 x) 2)))) (* (pow y 2) (- (* (pow y 2) (- (* -1 (/ (* (pow x 3) (* (pow y 2) (- (pow x 2) 1))) (* (+ 1 x) (pow (- 1 x) 8)))) (/ (* (pow x 2) (- (pow x 2) 1)) (* (+ 1 x) (pow (- 1 x) 6))))) (/ (* x (- (pow x 2) 1)) (* (+ 1 x) (pow (- 1 x) 4))))))>
#<alt (/ (- (pow x 2) 1) (* x (* (pow y 2) (+ 1 x))))>
#<alt (/ (- (+ (/ x (+ 1 x)) (/ (* (pow (- 1 x) 2) (- (pow x 2) 1)) (* (pow x 2) (* (pow y 2) (+ 1 x))))) (/ 1 (* x (+ 1 x)))) (pow y 2))>
#<alt (/ (- (+ (/ x (+ 1 x)) (/ (* (pow (- 1 x) 4) (- (pow x 2) 1)) (* (pow x 3) (* (pow y 4) (+ 1 x))))) (+ (* -1 (/ (* (pow (- 1 x) 2) (- (pow x 2) 1)) (* (pow x 2) (* (pow y 2) (+ 1 x))))) (/ 1 (* x (+ 1 x))))) (pow y 2))>
#<alt (/ (- (+ (/ x (+ 1 x)) (/ (* (pow (- 1 x) 6) (- (pow x 2) 1)) (* (pow x 4) (* (pow y 6) (+ 1 x))))) (+ (* -1 (/ (* (pow (- 1 x) 2) (- (pow x 2) 1)) (* (pow x 2) (* (pow y 2) (+ 1 x))))) (+ (* -1 (/ (* (pow (- 1 x) 4) (- (pow x 2) 1)) (* (pow x 3) (* (pow y 4) (+ 1 x))))) (/ 1 (* x (+ 1 x)))))) (pow y 2))>
#<alt (/ (- (pow x 2) 1) (* x (* (pow y 2) (+ 1 x))))>
#<alt (/ (- (+ (/ x (+ 1 x)) (/ (* (pow (- 1 x) 2) (- (pow x 2) 1)) (* (pow x 2) (* (pow y 2) (+ 1 x))))) (/ 1 (* x (+ 1 x)))) (pow y 2))>
#<alt (/ (- (+ (/ x (+ 1 x)) (/ (* (pow (- 1 x) 4) (- (pow x 2) 1)) (* (pow x 3) (* (pow y 4) (+ 1 x))))) (+ (* -1 (/ (* (pow (- 1 x) 2) (- (pow x 2) 1)) (* (pow x 2) (* (pow y 2) (+ 1 x))))) (/ 1 (* x (+ 1 x))))) (pow y 2))>
#<alt (/ (- (+ (/ x (+ 1 x)) (/ (* (pow (- 1 x) 6) (- (pow x 2) 1)) (* (pow x 4) (* (pow y 6) (+ 1 x))))) (+ (* -1 (/ (* (pow (- 1 x) 2) (- (pow x 2) 1)) (* (pow x 2) (* (pow y 2) (+ 1 x))))) (+ (* -1 (/ (* (pow (- 1 x) 4) (- (pow x 2) 1)) (* (pow x 3) (* (pow y 4) (+ 1 x))))) (/ 1 (* x (+ 1 x)))))) (pow y 2))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (sqrt x) y)>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))>
#<alt (* -1 x)>
#<alt (- (* (sqrt x) y) x)>
#<alt (- (* (sqrt x) y) x)>
#<alt (- (* (sqrt x) y) x)>
#<alt (* (sqrt x) y)>
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))>
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))>
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ x y)) (/ 1 y))>
#<alt (+ (* -1 (/ x y)) (/ 1 y))>
#<alt (+ (* -1 (/ x y)) (/ 1 y))>
#<alt (* -1 (/ x y))>
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))>
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))>
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt -1>
#<alt (- (* x (+ 2 (pow y 2))) 1)>
#<alt (- (* x (+ 2 (+ (* -1 x) (pow y 2)))) 1)>
#<alt (- (* x (+ 2 (+ (* -1 x) (pow y 2)))) 1)>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ (pow y 2) x)) 1))>
#<alt (* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ (pow y 2) x)) (+ 1 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ (pow y 2) x)) (+ 1 (/ 1 (pow x 2)))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* -1 (pow y 2)) 2) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (+ (* -1 (pow y 2)) (/ 1 x)) 2) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (+ (* -1 (pow y 2)) (/ 1 x)) 2) x)) 1))>
#<alt (* -1 (pow (- 1 x) 2))>
#<alt (- (* x (pow y 2)) (pow (- 1 x) 2))>
#<alt (- (* x (pow y 2)) (pow (- 1 x) 2))>
#<alt (- (* x (pow y 2)) (pow (- 1 x) 2))>
#<alt (* x (pow y 2))>
#<alt (* (pow y 2) (+ x (* -1 (/ (pow (- 1 x) 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ x (* -1 (/ (pow (- 1 x) 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ x (* -1 (/ (pow (- 1 x) 2) (pow y 2)))))>
#<alt (* x (pow y 2))>
#<alt (* (pow y 2) (+ x (* -1 (/ (pow (- 1 x) 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ x (* -1 (/ (pow (- 1 x) 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ x (* -1 (/ (pow (- 1 x) 2) (pow y 2)))))>

Calls

96 calls:

Time	Variable		Point	Expression
12.0ms	y	@	0	(/ (* (+ (* x x) -1) (/ 1 (+ x 1))) (- (* x (* y y)) (* (- 1 x) (- 1 x))))
1.0ms	y	@	inf	(/ (* (+ (* x x) -1) (/ 1 (+ x 1))) (- (* x (* y y)) (* (- 1 x) (- 1 x))))
1.0ms	y	@	0	(/ 1 (/ (* (+ (* x x) -1) (/ 1 (+ x 1))) (- (* x (* y y)) (* (- 1 x) (- 1 x)))))
1.0ms	x	@	-inf	(/ (* (+ (* x x) -1) (/ 1 (+ x 1))) (- (* x (* y y)) (* (- 1 x) (- 1 x))))
1.0ms	y	@	inf	(/ 1 (/ (* (+ (* x x) -1) (/ 1 (+ x 1))) (- (* x (* y y)) (* (- 1 x) (- 1 x)))))

rewrite397.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4350×	`-lowering-.f32`
4350×	`-lowering-.f64`
2396×	`/-lowering-/.f32`
2396×	`/-lowering-/.f64`
2308×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	130
1	233	114
2	2113	111
0	9945	111

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 660

Calls

Call 1

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

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

simplify303.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

3230×	`-lowering-.f32`
3230×	`-lowering-.f64`
2142×	`+-lowering-+.f64`
2142×	`+-lowering-+.f32`
1942×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	361	4019
1	1274	3264
2	5152	3232
0	8012	3232

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

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

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

eval137.0ms (1.5%)

Compiler: Compiled 25390 to 2526 computations (90.1% saved)

prune137.0ms (1.5%)

Pruning

37 alts after pruning (33 fresh and 4 done)

	Pruned	Kept	Total
New	1049	18	1067
Fresh	5	15	20
Picked	4	1	5
Done	0	3	3
Total	1058	37	1095

Accuracy

100.0%

Counts

1095 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.8%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
	32.3%	(/.f64 (-.f64 (.f64 (.f64 x (.f64 y y)) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y y)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y y))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))))
	47.9%	(/.f64 (-.f64 (.f64 y (.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64)))
	45.9%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
	21.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x)
	30.9%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
	29.6%	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) x) (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) x))) (.f64 x x))
	3.6%	(/.f64 (.f64 x (.f64 y (.f64 y (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal -1 binary64) (.f64 x x)))
	37.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))) (+.f64 (.f64 x x) #s(literal 1 binary64))) (-.f64 (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
	47.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 (.f64 y x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
	5.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (.f64 y y))))
	37.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y y))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))))))
	46.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 y x) (.f64 y x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
	3.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (.f64 x (.f64 y y))))
	42.4%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (.f64 y x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (+.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
	35.4%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
	38.7%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
	34.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
	37.2%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y x) (.f64 y x))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 y (.f64 y x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
	67.3%	(-.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 y x)) x)
✓	71.7%	(-.f64 (*.f64 (sqrt.f64 x) y) x)
	59.6%	(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y y)))
✓	61.4%	(-.f64 #s(literal 1 binary64) x)
✓	65.8%	(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
	57.4%	(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 y y))))
	64.6%	(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x))) x)
	38.8%	(*.f64 (sqrt.f64 x) y)
	65.8%	(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
	6.1%	(*.f64 y y)
	46.9%	(.f64 x (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) x) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))) #s(literal 1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) x) #s(literal -1 binary64))))
	6.1%	(.f64 x (/.f64 (.f64 y y) x))
	41.2%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) x) #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))))) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 #s(literal 1 binary64) (.f64 y y)))) (.f64 x (.f64 x x)))))))
	28.0%	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 x x))))
	48.2%	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 x x))) x)))
	31.8%	(.f64 x (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
	34.3%	(neg.f64 x)
✓	28.4%	#s(literal 1 binary64)

Compiler

Compiled 1808 to 603 computations (66.6% saved)

regimes66.0ms (0.7%)

Counts

61 → 1

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	y
18.0ms	x
17.0ms	(+.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 16 to 11 computations (31.3% saved)

regimes40.0ms (0.4%)

Counts

47 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 x)
(*.f64 y y)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(.f64 x (/.f64 (.f64 y y) x))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 y y))))
(/.f64 (.f64 x (.f64 y y)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (.f64 y y))))
(/.f64 (.f64 x (.f64 y (.f64 y (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 y (.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64)))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 x x))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (.f64 x (.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 (.f64 y x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) x) (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) x))) (.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (+.f64 x #s(literal 1 binary64))))
(.f64 x (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) x) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))) #s(literal 1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (.f64 y x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (+.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 y x) (.f64 y x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))) (+.f64 (.f64 x x) #s(literal 1 binary64))) (-.f64 (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal -1 binary64) x))) (-.f64 (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y x) (.f64 y x))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 y (.f64 y x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) x) #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))))) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 #s(literal 1 binary64) (.f64 y y)))) (.f64 x (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y y))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 y y)) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y y)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y y))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))))
(*.f64 (sqrt.f64 x) y)
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(.f64 x (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x))) x)

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

Calls

2 calls:

18.0ms	x
14.0ms	y

Results

Accuracy	Segments	Branch
99.2%	2	`x`
97.8%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes32.0ms (0.4%)

Counts

43 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 x)
(*.f64 y y)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(.f64 x (/.f64 (.f64 y y) x))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 y y))))
(/.f64 (.f64 x (.f64 y y)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (.f64 y y))))
(/.f64 (.f64 x (.f64 y (.f64 y (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 y (.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64)))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 x x))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (.f64 x (.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 (.f64 y x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) x) (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) x))) (.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (+.f64 x #s(literal 1 binary64))))
(.f64 x (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) x) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))) #s(literal 1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (.f64 y x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (+.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 y x) (.f64 y x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))) (+.f64 (.f64 x x) #s(literal 1 binary64))) (-.f64 (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal -1 binary64) x))) (-.f64 (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y x) (.f64 y x))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 y (.f64 y x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) x) #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))))) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 #s(literal 1 binary64) (.f64 y y)))) (.f64 x (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y y))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 y y)) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y y)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y y))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))))
(*.f64 (sqrt.f64 x) y)
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))

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

Calls

2 calls:

13.0ms	x
13.0ms	y

Results

Accuracy	Segments	Branch
96.7%	3	`y`
86.7%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes22.0ms (0.2%)

Counts

42 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 x)
(*.f64 y y)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(.f64 x (/.f64 (.f64 y y) x))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 y y))))
(/.f64 (.f64 x (.f64 y y)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (.f64 y y))))
(/.f64 (.f64 x (.f64 y (.f64 y (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 y (.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64)))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 x x))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (.f64 x (.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 (.f64 y x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) x) (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) x))) (.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (+.f64 x #s(literal 1 binary64))))
(.f64 x (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) x) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))) #s(literal 1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (.f64 y x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (+.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 y x) (.f64 y x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))) (+.f64 (.f64 x x) #s(literal 1 binary64))) (-.f64 (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal -1 binary64) x))) (-.f64 (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y x) (.f64 y x))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 y (.f64 y x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) x) #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))))) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 #s(literal 1 binary64) (.f64 y y)))) (.f64 x (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y y))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 y y)) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y y)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y y))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))))
(*.f64 (sqrt.f64 x) y)

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
94.3%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes33.0ms (0.4%)

Counts

41 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 x)
(*.f64 y y)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(.f64 x (/.f64 (.f64 y y) x))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 y y))))
(/.f64 (.f64 x (.f64 y y)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (.f64 y y))))
(/.f64 (.f64 x (.f64 y (.f64 y (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 y (.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64)))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 x x))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (.f64 x (.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 (.f64 y x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) x) (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) x))) (.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (+.f64 x #s(literal 1 binary64))))
(.f64 x (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) x) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))) #s(literal 1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (.f64 y x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (+.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 y x) (.f64 y x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))) (+.f64 (.f64 x x) #s(literal 1 binary64))) (-.f64 (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal -1 binary64) x))) (-.f64 (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y x) (.f64 y x))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 y (.f64 y x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) x) #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))))) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 #s(literal 1 binary64) (.f64 y y)))) (.f64 x (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y y))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 y y)) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y y)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y y))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))))

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

Calls

2 calls:

18.0ms	y
13.0ms	x

Results

Accuracy	Segments	Branch
64.5%	2	`x`
66.4%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts

11 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 x)
(*.f64 y y)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(.f64 x (/.f64 (.f64 y y) x))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x)

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
64.8%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

7 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 x)
(*.f64 y y)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(.f64 x (/.f64 (.f64 y y) x))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
64.7%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 x)
(*.f64 y y)
(-.f64 #s(literal 0 binary64) x)

Outputs
#s(literal 1 binary64)
(neg.f64 x)

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
60.7%	2	`x`
39.9%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

2 calls:

2.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
28.4%	1	`y`
28.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.2474630871563985e-6	0.004302358781171705

Results

7.0ms

128×

valid

Compiler

Compiled 159 to 115 computations (27.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (28.8% of total)

ival-add: 1.0ms (28.8% of total)

ival-mult: 1.0ms (28.8% of total)

ival-sqrt: 1.0ms (28.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.2276715013173844e+49	8.894403966061173e+49
11.0ms	-2.2132560072454687e+48	-5.581646052418189e+46

Results

13.0ms

208×

valid

Compiler

Compiled 210 to 167 computations (20.5% saved)

Precisions

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

ival-mult: 2.0ms (35.3% of total)

ival-sqrt: 2.0ms (35.3% of total)

ival-sub: 1.0ms (17.6% of total)

ival-add: 1.0ms (17.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch58.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	5.24278656803804e+76	2.8243990809352572e+85
41.0ms	-3.850608843359617e+48	-2.2132560072454687e+48

Results

31.0ms

208×

valid

Compiler

Compiled 184 to 141 computations (23.4% saved)

Precisions

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

ival-mult: 2.0ms (34.5% of total)

ival-sqrt: 2.0ms (34.5% of total)

ival-sub: 1.0ms (17.3% of total)

ival-add: 1.0ms (17.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch24.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	8.962845772585226e+92	1.8332683197256219e+93
14.0ms	-3.1901355053424693e+91	-4.452235697217576e+86

Results

14.0ms

224×

valid

Compiler

Compiled 257 to 197 computations (23.3% saved)

Precisions

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

ival-mult: 2.0ms (33.1% of total)

ival-sqrt: 2.0ms (33.1% of total)

ival-sub: 1.0ms (16.5% of total)

ival-add: 1.0ms (16.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch9.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	8.962845772585226e+92	1.8332683197256219e+93

Results

6.0ms

80×

valid

Compiler

Compiled 95 to 71 computations (25.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (32.3% of total)

ival-mult: 1.0ms (32.3% of total)

ival-sqrt: 1.0ms (32.3% of total)

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.704857481638749e+127	1.0402956096247354e+132

Results

7.0ms

128×

valid

Compiler

Compiled 111 to 83 computations (25.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (28.7% of total)

ival-add: 1.0ms (28.7% of total)

ival-mult: 1.0ms (28.7% of total)

ival-sqrt: 1.0ms (28.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.2474630871563985e-6	0.004302358781171705

Results

9.0ms

128×

valid

Compiler

Compiled 87 to 75 computations (13.8% saved)

Precisions

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

ival-sub: 2.0ms (42.4% of total)

ival-add: 1.0ms (21.2% of total)

ival-mult: 1.0ms (21.2% of total)

ival-sqrt: 1.0ms (21.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

90×	`unsub-neg_binary64`
52×	`distribute-lft-neg-in_binary64`
48×	`neg-mul-1_binary64`
40×	`+-commutative_binary64`
36×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	117
1	71	117
2	87	117
3	105	117
4	133	117
5	161	117
6	193	117
7	228	117
8	269	117
9	286	117
10	296	117
11	298	117

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(if (<=.f64 x #s(literal 4842270319348757/1152921504606846976 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (-.f64 (.f64 (sqrt.f64 x) y) x))
(if (<=.f64 y #s(literal -67999999999999996491146253896646884451994828800 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 23000000000000000197158005890685722198693044551680 binary64)) (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))
(if (<=.f64 y #s(literal -2800000000000000122768360526213352592975333425152 binary64)) (.f64 (sqrt.f64 x) y) (if (<=.f64 y #s(literal 53999999999999998041820738853722586296927989047224519064936648896630608625664 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 x) y)))
(if (<=.f64 y #s(literal -31499999999999999340023293047470941396152002083947700889216142715377808915517234856171929600 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 y y)))) (if (<=.f64 y #s(literal 1799999999999999962287045316998339508351542976225582907955208155164446223743841991781253120000 binary64)) (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y y)))))
(if (<=.f64 y #s(literal 1799999999999999962287045316998339508351542976225582907955208155164446223743841991781253120000 binary64)) (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y y))))
(if (<=.f64 y #s(literal 799999999999999929620444007657854511302822919756205841459690948469420652615210262167679512793696278032855794724798960889386785308672 binary64)) (-.f64 #s(literal 1 binary64) x) (*.f64 y y))
(if (<=.f64 x #s(literal 4842270319348757/1152921504606846976 binary64)) #s(literal 1 binary64) (neg.f64 x))
#s(literal 1 binary64)

Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(if (<=.f64 x #s(literal 4842270319348757/1152921504606846976 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (-.f64 (.f64 (sqrt.f64 x) y) x))
(if (<=.f64 x #s(literal 4842270319348757/1152921504606846976 binary64)) (+.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x))) (-.f64 (.f64 y (sqrt.f64 x)) x))
(if (<=.f64 y #s(literal -67999999999999996491146253896646884451994828800 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 23000000000000000197158005890685722198693044551680 binary64)) (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))
(if (<=.f64 y #s(literal -67999999999999996491146253896646884451994828800 binary64)) (+.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x))) (if (<=.f64 y #s(literal 23000000000000000197158005890685722198693044551680 binary64)) (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x)))))
(if (<=.f64 y #s(literal -2800000000000000122768360526213352592975333425152 binary64)) (.f64 (sqrt.f64 x) y) (if (<=.f64 y #s(literal 53999999999999998041820738853722586296927989047224519064936648896630608625664 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 x) y)))
(if (<=.f64 y #s(literal -2800000000000000122768360526213352592975333425152 binary64)) (.f64 y (sqrt.f64 x)) (if (<=.f64 y #s(literal 53999999999999998041820738853722586296927989047224519064936648896630608625664 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))))
(if (<=.f64 y #s(literal -31499999999999999340023293047470941396152002083947700889216142715377808915517234856171929600 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 y y)))) (if (<=.f64 y #s(literal 1799999999999999962287045316998339508351542976225582907955208155164446223743841991781253120000 binary64)) (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y y)))))
(if (<=.f64 y #s(literal 1799999999999999962287045316998339508351542976225582907955208155164446223743841991781253120000 binary64)) (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y y))))
(if (<=.f64 y #s(literal 799999999999999929620444007657854511302822919756205841459690948469420652615210262167679512793696278032855794724798960889386785308672 binary64)) (-.f64 #s(literal 1 binary64) x) (*.f64 y y))
(if (<=.f64 x #s(literal 4842270319348757/1152921504606846976 binary64)) #s(literal 1 binary64) (neg.f64 x))
(if (<=.f64 x #s(literal 4842270319348757/1152921504606846976 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
#s(literal 1 binary64)

soundness2.1s (22.4%)

Rules

5324×	`-lowering-.f32`
5324×	`-lowering-.f64`
4350×	`-lowering-.f32`
4350×	`-lowering-.f64`
3956×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	361	4019
1	1274	3264
2	5152	3232
0	8012	3232
0	7	17
1	42	16
2	375	16
3	5982	16
0	8180	16
0	52	347
1	148	334
2	499	328
3	1667	322
4	7139	322
0	8418	322
0	31	130
1	233	114
2	2113	111
0	9945	111
0	334	3145
1	1140	2558
2	4419	2493
0	8959	2493
0	611	5226
1	2131	4423
0	8483	4423

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

Compiler

Compiled 501 to 277 computations (44.7% saved)

preprocess110.0ms (1.2%)

Compiler: Compiled 276 to 100 computations (63.8% saved)

Iter	Nodes	Cost
0	43	117
1	71	117
2	87	117
3	105	117
4	133	117
5	161	117
6	193	117
7	228	117
8	269	117
9	286	117
10	296	117
11	298	117

Iter	Nodes	Cost
0	43	117
1	71	117
2	87	117
3	105	117
4	133	117
5	161	117
6	193	117
7	228	117
8	269	117
9	286	117
10	296	117
11	298	117

analyze14.0ms (0.2%)

sample885.0ms (9.6%)

preprocess128.0ms (1.4%)

explain80.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify39.0ms (0.4%)

localize36.0ms (0.4%)

series5.0ms (0.1%)

rewrite248.0ms (2.7%)

simplify192.0ms (2.1%)

eval27.0ms (0.3%)

prune32.0ms (0.3%)

simplify199.0ms (2.2%)

localize141.0ms (1.5%)

series151.0ms (1.6%)

rewrite541.0ms (5.9%)

simplify418.0ms (4.5%)

eval307.0ms (3.3%)

prune199.0ms (2.2%)

simplify160.0ms (1.7%)

localize143.0ms (1.6%)

series21.0ms (0.2%)

rewrite427.0ms (4.6%)

simplify385.0ms (4.2%)

eval198.0ms (2.1%)

prune179.0ms (1.9%)

simplify244.0ms (2.6%)

localize252.0ms (2.7%)

series29.0ms (0.3%)

rewrite397.0ms (4.3%)

simplify303.0ms (3.3%)

eval137.0ms (1.5%)

prune137.0ms (1.5%)

regimes66.0ms (0.7%)

regimes40.0ms (0.4%)

regimes32.0ms (0.4%)

regimes22.0ms (0.2%)

regimes33.0ms (0.4%)

regimes12.0ms (0.1%)

regimes3.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

bsearch14.0ms (0.2%)

bsearch22.0ms (0.2%)

bsearch58.0ms (0.6%)

bsearch24.0ms (0.3%)

bsearch9.0ms (0.1%)

bsearch13.0ms (0.1%)

bsearch14.0ms (0.2%)

simplify19.0ms (0.2%)

soundness2.1s (22.4%)

preprocess110.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	43	117
1	71	117
2	87	117
3	105	117
4	133	117
5	161	117
6	193	117
7	228	117
8	269	117
9	286	117
10	296	117
11	298	117