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

analyze18.0ms (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 (25.2% of total)

ival-add: 1.0ms (25.2% of total)

ival-mult: 1.0ms (25.2% of total)

ival-sqrt: 1.0ms (25.2% of total)

const: 0.0ms (0% of total)

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

sample807.0ms (8.5%)

Results

511.0ms	8254×	0	valid
18.0ms	247×	0	invalid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 281.0ms

ival-sqrt: 98.0ms (34.8% of total)

ival-mult: 66.0ms (23.5% of total)

ival-sub: 59.0ms (21% of total)

ival-add: 44.0ms (15.6% of total)

const: 11.0ms (3.9% of total)

backward-pass: 3.0ms (1.1% of total)

Bogosity

preprocess119.0ms (1.3%)

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))

explain70.0ms (0.7%)

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

36.0ms

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 (27.2% of total)

ival-sqrt: 4.0ms (27.2% of total)

ival-sub: 3.0ms (20.4% of total)

ival-add: 2.0ms (13.6% of total)

const: 1.0ms (6.8% 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)

simplify42.0ms (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)

localize26.0ms (0.3%)

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	99.6%	(*.f64 y (sqrt.f64 x))

Results

18.0ms

256×

valid

Compiler

Compiled 23 to 8 computations (65.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-sub: 2.0ms (25.8% of total)

ival-mult: 2.0ms (25.8% of total)

ival-sqrt: 2.0ms (25.8% of total)

ival-add: 1.0ms (12.9% 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	@	inf	(+ (- 1 x) (* y (sqrt x)))
0.0ms	x	@	0	(+ (- 1 x) (* y (sqrt x)))
0.0ms	y	@	0	(+ (- 1 x) (* y (sqrt x)))
0.0ms	y	@	inf	(+ (- 1 x) (* y (sqrt x)))

rewrite311.0ms (3.3%)

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))

simplify159.0ms (1.7%)

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)

prune34.0ms (0.4%)

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
▶	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
	50.9%	(/.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))))
▶	50.9%	(/.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)))))
▶	63.9%	(-.f64 #s(literal 1 binary64) x)
	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)))
▶	64.9%	(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
▶	93.2%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
	37.7%	(*.f64 (sqrt.f64 x) y)
	64.8%	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))

Compiler

Compiled 244 to 155 computations (36.5% saved)

simplify217.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 15 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 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) 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	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	6272	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

Rules

2268×	`-lowering-.f32`
2268×	`-lowering-.f64`
1502×	`--lowering--.f32`
1502×	`--lowering--.f64`
1372×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	146
1	69	141
2	170	140
3	453	140
4	1633	140
5	7478	140
0	8427	140

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize144.0ms (1.5%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(*.f64 y (sqrt.f64 x))
✓	accuracy	91.0%	(-.f64 (.f64 x (.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	86.9%	(.f64 x (.f64 y y))
✓	accuracy	57.1%	(/.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 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
✓	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	93.2%	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.6%	(*.f64 (sqrt.f64 x) y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

Results

71.0ms

256×

valid

Compiler

Compiled 179 to 24 computations (86.6% saved)

Precisions

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

ival-mult: 13.0ms (30.3% of total)

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

ival-sub: 6.0ms (14% of total)

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

ival-sqrt: 4.0ms (9.3% of total)

compiled-spec: 4.0ms (9.3% of total)

const: 1.0ms (2.3% of total)

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

series27.0ms (0.3%)

Counts

16 → 348

Calls

Call 1

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

87 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/ (- (* y (sqrt x)) (- 1 x)) (- (* x (* y y)) (* (- 1 x) (- 1 x))))
2.0ms	x	@	-inf	(/ 1 (/ (- (* y (sqrt x)) (- 1 x)) (- (* x (* y y)) (* (- 1 x) (- 1 x)))))
2.0ms	y	@	inf	(/ 1 (/ (- (* y (sqrt x)) (- 1 x)) (- (* x (* y y)) (* (- 1 x) (- 1 x)))))
1.0ms	x	@	inf	(/ 1 (/ (- (* y (sqrt x)) (- 1 x)) (- (* x (* y y)) (* (- 1 x) (- 1 x)))))
1.0ms	x	@	0	(/ 1 (/ (- (* y (sqrt x)) (- 1 x)) (- (* x (* y y)) (* (- 1 x) (- 1 x)))))

rewrite485.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3140×	`/-lowering-/.f32`
3140×	`/-lowering-/.f64`
2976×	`-lowering-.f32`
2976×	`-lowering-.f64`
1840×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	99
1	179	92
2	1515	82
0	8857	82

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1090

Calls

Call 1

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

Outputs
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(+.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))
(+.f64 (+.f64 (.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))) (+.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 (sqrt.f64 x) y) (-.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 #s(literal 1 binary64) (+.f64 x (+.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64))))))
(+.f64 (+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64) x))
(+.f64 (+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))) (.f64 x (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (.f64 (.f64 x (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64))))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))
(-.f64 (+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (.f64 (sqrt.f64 x) y) x))) (/.f64 (pow.f64 (-.f64 (.f64 (sqrt.f64 x) y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))))
(-.f64 (/.f64 (.f64 x (.f64 y y)) (+.f64 x (+.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 x (+.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 y y)) (+.f64 x (+.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))) (/.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 0 binary64) (-.f64 #s(literal 1 binary64) x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (+.f64 x (+.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (-.f64 (.f64 (sqrt.f64 x) y) x) #s(literal 2 binary64)) (-.f64 (-.f64 (.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (*.f64 (sqrt.f64 x) y) 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 x (+.f64 (.f64 (sqrt.f64 x) y) #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 (-.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 x (+.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))))
(-.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 x (+.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))) (/.f64 (/.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 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 y y)))) (+.f64 x (+.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (+.f64 (.f64 (sqrt.f64 x) y) #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 #s(literal 0 binary64) (+.f64 x (+.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 y y)) (.f64 (.f64 y y) (.f64 x (.f64 x (.f64 y y))))) (.f64 (+.f64 x (+.f64 (.f64 (sqrt.f64 x) y) #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 #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 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (.f64 (+.f64 x (+.f64 (.f64 (sqrt.f64 x) y) #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 x (+.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64))) (+.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 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (.f64 (+.f64 x (+.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64))) (+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 y y))))))
(-.f64 (/.f64 (pow.f64 (+.f64 (.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (.f64 x x) (.f64 (+.f64 (.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (pow.f64 (+.f64 (.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (.f64 x x) (.f64 (+.f64 (*.f64 (sqrt.f64 x) y) #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 (sqrt.f64 x) y))) (/.f64 (.f64 x (.f64 y y)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))))
(-.f64 (/.f64 (pow.f64 (+.f64 (.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 (.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) x)) (/.f64 (.f64 x x) (+.f64 (+.f64 (.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) x)))
(fma.f64 x #s(literal -1 binary64) (+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))
(fma.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 (.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))) (+.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)))))
(fma.f64 #s(literal 1 binary64) (+.f64 (.f64 (sqrt.f64 x) y) (-.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 #s(literal 1 binary64) (+.f64 x (+.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64))))))
(fma.f64 #s(literal -1 binary64) x (+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))) (+.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)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 (sqrt.f64 x) y) (-.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 #s(literal 1 binary64) (+.f64 x (+.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64))))))
(fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x))) x #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.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 x (+.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))) (+.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)))))
(fma.f64 (-.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 x (+.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))) (.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 #s(literal 1 binary64) (+.f64 x (+.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (.f64 y y)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y y))) (*.f64 (sqrt.f64 x) y))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (.f64 x (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64))))))
(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 x #s(literal 1 binary64))))) (.f64 (sqrt.f64 x) y))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 (sqrt.f64 x) y))
(fma.f64 (+.f64 (.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))) (+.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)))))
(fma.f64 (+.f64 (.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (.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 #s(literal 1 binary64) (+.f64 x (+.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (.f64 (sqrt.f64 x) y) #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 (+.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))) (+.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)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (.f64 (sqrt.f64 x) y) #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 (.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 #s(literal 1 binary64) (+.f64 x (+.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64))))))
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simplify411.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

3940×	`-lowering-.f32`
3940×	`-lowering-.f64`
3130×	`+-lowering-+.f64`
3130×	`+-lowering-+.f32`
1946×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	510	4580
1	1835	3818
2	7105	3800
0	8003	3800

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

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

eval254.0ms (2.7%)

Compiler: Compiled 60305 to 3315 computations (94.5% saved)

prune185.0ms (2%)

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	1654	14	1668
Fresh	3	1	4
Picked	2	3	5
Done	0	1	1
Total	1659	19	1678

Accuracy

100.0%

Counts

1678 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
	36.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
	44.8%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
	51.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 y y) x))))))
	44.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
	42.0%	(/.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)))))
	37.6%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
✓	63.9%	(-.f64 #s(literal 1 binary64) x)
	35.8%	(-.f64 #s(literal 0 binary64) x)
✓	99.9%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
	63.8%	(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 x y)))
▶	58.2%	(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) x))
	64.9%	(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) y))
✓	64.9%	(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
▶	84.3%	(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))))
▶	36.1%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))))
▶	44.8%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
	37.7%	(*.f64 (sqrt.f64 x) y)
▶	29.3%	#s(literal 1 binary64)

Compiler

Compiled 404 to 265 computations (34.4% saved)

simplify197.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

2254×	`-lowering-.f32`
2254×	`-lowering-.f64`
1374×	`--lowering--.f32`
1374×	`--lowering--.f64`
1356×	`fma-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	22	129
1	60	118
2	125	118
3	318	118
4	781	113
5	1478	108
6	2782	108
7	5907	108
0	8157	108

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize109.0ms (1.2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(/.f64 y (sqrt.f64 x))
✓	accuracy	86.4%	(*.f64 (/.f64 y (sqrt.f64 x)) x)
✓	accuracy	100.0%	(*.f64 x (+.f64 x #s(literal 1 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
✓	accuracy	61.7%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	72.7%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(-.f64 (sqrt.f64 x) (/.f64 x y))
✓	accuracy	84.2%	(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))

Results

65.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 146 to 23 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 12.0ms (37.9% of total)

ival-div: 7.0ms (22.1% of total)

ival-add: 5.0ms (15.8% of total)

ival-sub: 4.0ms (12.6% of total)

ival-sqrt: 2.0ms (6.3% of total)

const: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Counts

17 → 276

Calls

Call 1

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

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

Calls

69 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(+ 1 (* y (- (sqrt x) (/ x y))))
1.0ms	x	@	-inf	(- 1 (* x (* x x)))
1.0ms	x	@	-inf	(+ 1 (* (/ y (sqrt x)) x))
1.0ms	y	@	-inf	(+ 1 (* y (- (sqrt x) (/ x y))))
1.0ms	x	@	inf	(+ 1 (* y (- (sqrt x) (/ x y))))

rewrite628.0ms (6.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3952×	`/-lowering-/.f32`
3952×	`/-lowering-/.f64`
2868×	`-lowering-.f32`
2868×	`-lowering-.f64`
1924×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	94
1	163	79
2	1499	75
0	8364	75

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 877

Calls

Call 1

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

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

simplify262.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

2564×	`-lowering-.f32`
2564×	`-lowering-.f64`
1686×	`fma-lowering-fma.f32`
1686×	`fma-lowering-fma.f64`
1582×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	1465
1	436	1330
2	1275	1297
3	4294	1293
0	8437	1293

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

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

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

eval250.0ms (2.6%)

Compiler: Compiled 31347 to 2637 computations (91.6% saved)

prune195.0ms (2.1%)

Pruning

34 alts after pruning (28 fresh and 6 done)

	Pruned	Kept	Total
New	1279	23	1302
Fresh	5	5	10
Picked	2	3	5
Done	1	3	4
Total	1287	34	1321

Accuracy

100.0%

Counts

1321 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
	42.0%	(/.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)))))
✓	63.9%	(-.f64 #s(literal 1 binary64) x)
▶	35.8%	(-.f64 #s(literal 0 binary64) x)
✓	99.9%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
	63.8%	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (sqrt.f64 x)))
	59.6%	(+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (sqrt.f64 x) y)))
	63.8%	(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 x y)))
✓	58.2%	(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) x))
✓	64.9%	(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
	67.2%	(+.f64 #s(literal 1 binary64) (.f64 y (/.f64 (-.f64 x (/.f64 x (.f64 y (/.f64 y x)))) (+.f64 (sqrt.f64 x) (/.f64 x y)))))
▶	84.2%	(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 x (sqrt.f64 x)) (/.f64 x y))))
✓	84.3%	(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))))
	48.3%	(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) (/.f64 x y))))
	35.7%	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
▶	8.6%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)) (*.f64 x x)))
	7.7%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x x))) x)) (*.f64 x x)))
	7.8%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)))
	7.4%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)))
	8.8%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
▶	32.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
	32.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) x)))))))
	35.2%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))))
	34.4%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) #s(literal 1 binary64))
	16.5%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x))
▶	17.4%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
	16.5%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
	17.9%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))
	31.9%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x))
	32.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) x))))))
	35.3%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) x))))
	34.3%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))
	37.7%	(*.f64 (sqrt.f64 x) y)
✓	29.3%	#s(literal 1 binary64)

Compiler

Compiled 978 to 587 computations (40% saved)

simplify156.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

2402×	`-lowering-.f32`
2402×	`-lowering-.f64`
1460×	`fnmadd-define`
1278×	`--lowering--.f32`
1278×	`--lowering--.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	190
1	72	189
2	180	189
3	602	189
4	3138	179
0	8689	179

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize192.0ms (2%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)) (.f64 x x))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	61.7%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)) (*.f64 x x)))
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
✓	accuracy	72.7%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(-.f64 (/.f64 x (sqrt.f64 x)) (/.f64 x y))
✓	accuracy	99.2%	(/.f64 x (sqrt.f64 x))
✓	accuracy	84.2%	(*.f64 y (-.f64 (/.f64 x (sqrt.f64 x)) (/.f64 x y)))

Results

125.0ms	255×	0	valid
1.0ms	1×	1	valid

Compiler

Compiled 231 to 31 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-div: 32.0ms (50.8% of total)

ival-mult: 15.0ms (23.8% of total)

ival-sub: 9.0ms (14.3% of total)

ival-add: 4.0ms (6.4% of total)

ival-sqrt: 2.0ms (3.2% of total)

const: 1.0ms (1.6% of total)

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

series11.0ms (0.1%)

Counts

19 → 264

Calls

Call 1

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

Outputs
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<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 (* -1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))>
#<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 (* 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))) (/ 1 y)))))>
#<alt (* -1 (* x (- (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))) (/ 1 x))))>
#<alt (* -1 (* x (- (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))) (/ 1 x))))>
#<alt (* -1 (* x (- (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))) (/ 1 x))))>
#<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 (* (sqrt x) y)>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))>
#<alt (* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))>
#<alt (* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))>
#<alt (* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))>
#<alt (* -1 (* x (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))))>
#<alt (* -1 (* x (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))))>
#<alt (* -1 (* x (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))))>
#<alt (* -1 (* x (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))))>
#<alt (sqrt x)>
#<alt (+ (sqrt x) (* -1 (/ x y)))>
#<alt (+ (sqrt x) (* -1 (/ x y)))>
#<alt (+ (sqrt x) (* -1 (/ x y)))>
#<alt (* x (- (sqrt (/ 1 x)) (/ 1 y)))>
#<alt (* x (- (sqrt (/ 1 x)) (/ 1 y)))>
#<alt (* x (- (sqrt (/ 1 x)) (/ 1 y)))>
#<alt (* x (- (sqrt (/ 1 x)) (/ 1 y)))>
#<alt (* -1 (* x (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* x (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* x (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* x (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (/ x y))>
#<alt (/ (- (* (sqrt x) y) x) y)>
#<alt (/ (- (* (sqrt x) y) x) y)>
#<alt (/ (- (* (sqrt x) y) x) y)>
#<alt (sqrt x)>
#<alt (+ (sqrt x) (* -1 (/ x y)))>
#<alt (+ (sqrt x) (* -1 (/ x y)))>
#<alt (+ (sqrt x) (* -1 (/ x y)))>
#<alt (sqrt x)>
#<alt (+ (sqrt x) (* -1 (/ x y)))>
#<alt (+ (sqrt x) (* -1 (/ x y)))>
#<alt (+ (sqrt x) (* -1 (/ 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)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt 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 x)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* -1 (pow x 2)) 1)))>
#<alt (+ 1 (* x (- (* (pow x 2) (- x 1)) 1)))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (/ 1 x)))>
#<alt (* (pow x 4) (+ 1 (* -1 (/ (+ 1 (/ 1 (pow x 2))) x))))>
#<alt (* (pow x 4) (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 x) (/ 1 (pow x 3)))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (/ 1 x)))>
#<alt (* (pow x 4) (+ 1 (* -1 (/ (+ 1 (/ 1 (pow x 2))) x))))>
#<alt (* (pow x 4) (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 (pow x 3))) x))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 3)))>
#<alt (+ 1 (* -1 (pow x 3)))>
#<alt (+ 1 (* -1 (pow x 3)))>
#<alt (* -1 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 3)) 1))>
#<alt (* (pow x 3) (- (/ 1 (pow x 3)) 1))>
#<alt (* (pow x 3) (- (/ 1 (pow x 3)) 1))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))>
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))>
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<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 (pow x 3))>
#<alt (/ (+ 1 (* -1 x)) (pow x 3))>
#<alt (/ (+ 1 (* x (- (pow x 2) 1))) (pow x 3))>
#<alt (/ (+ 1 (* x (- (* (pow x 2) (+ 1 (* -1 x))) 1))) (pow x 3))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) (+ 1 (/ 1 (pow x 3)))))>
#<alt (* x (- (+ (/ 1 x) (/ 1 (pow x 4))) (+ 1 (/ 1 (pow x 3)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 (pow x 2))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 (pow x 2))) 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 (/ 1 (pow x 3))>
#<alt (/ (+ 1 (* -1 x)) (pow x 3))>
#<alt (/ (+ 1 (* x (- x 1))) (pow x 3))>
#<alt (/ (+ 1 (* x (- x 1))) (pow x 3))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))>
#<alt (/ 1 (pow x 5))>
#<alt (/ (+ 1 (* -1 (pow x 2))) (pow x 5))>
#<alt (/ (+ 1 (* (pow x 2) (- (pow x 3) 1))) (pow x 5))>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 3) (+ 1 (* -1 x))) 1))) (pow x 5))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) (+ 1 (/ 1 (pow x 4)))))>
#<alt (* x (- (+ (/ 1 x) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 (pow x 3))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow x 2))) (pow x 3)))) 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)>
#<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>
#<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 (pow x 2))>
#<alt (/ (+ 1 (* -1 x)) (pow x 2))>
#<alt (/ (+ 1 (* -1 x)) (pow x 2))>
#<alt (/ (+ 1 (* -1 x)) (pow x 2))>
#<alt (/ -1 x)>
#<alt (/ (- (/ 1 x) 1) x)>
#<alt (/ (- (/ 1 x) 1) x)>
#<alt (/ (- (/ 1 x) 1) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (- 1 (/ 1 x)) x))>
#<alt (* -1 (/ (- 1 (/ 1 x)) x))>
#<alt (* -1 (/ (- 1 (/ 1 x)) x))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 x)) x)>
#<alt (/ (+ 1 (* -1 x)) x)>
#<alt (/ (+ 1 (* -1 x)) x)>
#<alt -1>
#<alt (- (/ 1 x) 1)>
#<alt (- (/ 1 x) 1)>
#<alt (- (/ 1 x) 1)>
#<alt -1>
#<alt (- (/ 1 x) 1)>
#<alt (- (/ 1 x) 1)>
#<alt (- (/ 1 x) 1)>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 5))>
#<alt (/ (+ 1 (* -1 (pow x 2))) (pow x 5))>
#<alt (/ (+ 1 (* (pow x 2) (- x 1))) (pow x 5))>
#<alt (/ (+ 1 (* (pow x 2) (- x 1))) (pow x 5))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (- 1 (/ 1 x)) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 x)) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 x)) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (- 1 (/ 1 x)) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow x 2))) x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow x 2))) x))) (pow x 2))>

Calls

66 calls:

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

rewrite306.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3224×	`/-lowering-/.f32`
3224×	`/-lowering-/.f64`
2234×	`-lowering-.f32`
2234×	`-lowering-.f64`
1682×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	134
1	226	128
2	2547	121
0	8495	121

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 778

Calls

Call 1

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

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

simplify244.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

2796×	`-lowering-.f32`
2796×	`-lowering-.f64`
1890×	`fma-lowering-fma.f32`
1890×	`fma-lowering-fma.f64`
1522×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	183	1562
1	543	1394
2	1731	1345
3	5556	1335
0	8144	1335

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

Outputs
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.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 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(+ 1 (* (sqrt x) y))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 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 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (- (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))) (/ 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 (- (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))) (/ 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 (- (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))) (/ 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 0 binary64) x)
(+ (* -1 x) (* (sqrt x) y))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(+ (* -1 x) (* (sqrt x) y))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(+ (* -1 x) (* (sqrt x) y))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* y (+ (sqrt x) (* -1 (/ x y))))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(* y (+ (sqrt x) (* -1 (/ x y))))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(* y (+ (sqrt x) (* -1 (/ x y))))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
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(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 5))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 1 (* -1 (pow x 2))) (pow x 5))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 1 (* (pow x 2) (- x 1))) (pow x 5))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1 binary64) x)))) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 1 (* (pow x 2) (- x 1))) (pow x 5))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1 binary64) x)))) (pow.f64 x #s(literal 5 binary64)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (- 1 (/ 1 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))
(/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)) (.f64 x x))
(/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)) (.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (- 1 (/ 1 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow x 2))) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)) (.f64 x x))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow x 2))) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)) (.f64 x x))

eval171.0ms (1.8%)

Compiler: Compiled 31495 to 3230 computations (89.7% saved)

prune198.0ms (2.1%)

Pruning

48 alts after pruning (41 fresh and 7 done)

	Pruned	Kept	Total
New	1274	21	1295
Fresh	3	20	23
Picked	4	1	5
Done	0	6	6
Total	1281	48	1329

Accuracy

100.0%

Counts

1329 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.9%	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x)
	2.9%	(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
	32.0%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) x))
	42.0%	(/.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)))))
	16.9%	(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
	2.8%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
	35.5%	(-.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1 binary64)))
	35.6%	(-.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)))
	36.4%	(-.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 x x))))) #s(literal 1 binary64)))
✓	63.9%	(-.f64 #s(literal 1 binary64) x)
✓	99.9%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
	63.8%	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (sqrt.f64 x)))
	59.6%	(+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (sqrt.f64 x) y)))
	63.8%	(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 x y)))
✓	58.2%	(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) x))
✓	64.9%	(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
	67.2%	(+.f64 #s(literal 1 binary64) (.f64 y (/.f64 (-.f64 x (/.f64 x (.f64 y (/.f64 y x)))) (+.f64 (sqrt.f64 x) (/.f64 x y)))))
	48.3%	(+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x (-.f64 #s(literal 0 binary64) y))))
✓	84.2%	(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 x (sqrt.f64 x)) (/.f64 x y))))
✓	84.3%	(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))))
	35.0%	(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 x x))))
	35.7%	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
	32.0%	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
	8.6%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x)) (.f64 x x)))
	8.6%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) x)) (*.f64 x x)))
	29.4%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 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)))))))
	7.7%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x x))) x)) (*.f64 x x)))
	7.8%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)))
	7.4%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)))
	8.8%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
	32.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) x)))))))
	35.2%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))))
	17.3%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x))
	16.5%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x))
	17.3%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
	16.5%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
	17.9%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))
	31.9%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x))
	32.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) x))))))
	35.3%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) x))))
	34.3%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))
	16.3%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
	11.2%	(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) x)))
	4.5%	(.f64 (.f64 x x) (*.f64 x x))
	37.7%	(*.f64 (sqrt.f64 x) y)
	2.6%	(.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)) (*.f64 x x)))
	35.8%	(neg.f64 x)
✓	29.3%	#s(literal 1 binary64)

Compiler

Compiled 1708 to 684 computations (60% saved)

regimes79.0ms (0.8%)

Counts

68 → 1

Calls

Call 1

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

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

Calls

3 calls:

30.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
21.0ms	y
20.0ms	x

Results

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes65.0ms (0.7%)

Counts

66 → 1

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	y
20.0ms	x
19.0ms	(+.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)

regimes38.0ms (0.4%)

Counts

54 → 3

Calls

Call 1

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

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:

17.0ms	y
15.0ms	x

Results

Accuracy	Segments	Branch
85.1%	2	`x`
94.2%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes21.0ms (0.2%)

Counts

50 → 3

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
92.7%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes46.0ms (0.5%)

Counts

49 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

14.0ms	y
14.0ms	x

Results

Accuracy	Segments	Branch
63.9%	1	`x`
69.9%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
69.5%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
69.5%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

10 → 3

Calls

Call 1

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

Outputs
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x)
(-.f64 #s(literal 1 binary64) x)
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
69.2%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

8 → 3

Calls

Call 1

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

Outputs
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x)
(-.f64 #s(literal 1 binary64) x)
(.f64 (.f64 x x) (*.f64 x x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
69.1%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes32.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

31.0ms

Results

Accuracy	Segments	Branch
69.1%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
66.4%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
63.9%	1	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.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
63.2%	2	`x`
40.6%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (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:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
29.3%	1	`y`
29.3%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch26.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	3.3917332828994124e+60	1.2161514637533935e+65
7.0ms	-7.89156009990595e+49	-3.6022576492038797e+49

Results

11.0ms

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 (34.9% of total)

ival-sqrt: 2.0ms (34.9% of total)

ival-sub: 1.0ms (17.5% of total)

ival-add: 1.0ms (17.5% of total)

const: 0.0ms (0% of total)

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

bsearch23.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.3917332828994124e+60	1.2161514637533935e+65
7.0ms	-7.89156009990595e+49	-3.6022576492038797e+49

Results

14.0ms

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 (35.6% of total)

ival-sqrt: 2.0ms (35.6% of total)

ival-sub: 1.0ms (17.8% of total)

ival-add: 1.0ms (17.8% of total)

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	6.30474468104046e+134	3.988481505262403e+137
12.0ms	-3.891502320823832e+133	-1.4988890611079307e+126

Results

17.0ms

272×

valid

Compiler

Compiled 373 to 267 computations (28.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sqrt: 4.0ms (41.3% of total)

ival-sub: 2.0ms (20.7% of total)

ival-mult: 2.0ms (20.7% of total)

ival-add: 1.0ms (10.3% of total)

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	6.30474468104046e+134	3.988481505262403e+137
12.0ms	-3.891502320823832e+133	-1.4988890611079307e+126

Results

16.0ms

272×

valid

Compiler

Compiled 337 to 240 computations (28.8% saved)

Precisions

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

ival-sub: 2.0ms (27.1% of total)

ival-mult: 2.0ms (27.1% of total)

ival-sqrt: 2.0ms (27.1% of total)

ival-add: 1.0ms (13.6% of total)

const: 0.0ms (0% of total)

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

bsearch25.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	3.988481505262403e+137	5.0295064784415654e+138
14.0ms	-3.891502320823832e+133	-1.4988890611079307e+126

Results

15.0ms

240×

valid

Compiler

Compiled 285 to 206 computations (27.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-sub: 3.0ms (36.8% of total)

ival-mult: 2.0ms (24.5% of total)

ival-sqrt: 2.0ms (24.5% of total)

ival-add: 1.0ms (12.3% of total)

const: 0.0ms (0% of total)

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

bsearch21.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	3.988481505262403e+137	5.0295064784415654e+138
11.0ms	-5.516238126286887e+124	-1.0110008547414009e+124

Results

13.0ms

192×

valid

Compiler

Compiled 219 to 161 computations (26.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (51.1% of total)

ival-sub: 1.0ms (12.8% of total)

ival-add: 1.0ms (12.8% of total)

ival-sqrt: 1.0ms (12.8% of total)

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	3.988481505262403e+137	5.0295064784415654e+138
10.0ms	-5.516238126286887e+124	-1.0110008547414009e+124

Results

12.0ms

192×

valid

Compiler

Compiled 207 to 143 computations (30.9% saved)

Precisions

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

ival-sub: 1.0ms (19.1% of total)

ival-add: 1.0ms (19.1% of total)

ival-mult: 1.0ms (19.1% of total)

ival-sqrt: 1.0ms (19.1% 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
10.0ms	3.988481505262403e+137	5.0295064784415654e+138
10.0ms	-1.4988890611079307e+126	-5.516238126286887e+124

Results

13.0ms

208×

valid

Compiler

Compiled 223 to 155 computations (30.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-sub: 3.0ms (39.9% of total)

ival-mult: 2.0ms (26.6% of total)

ival-sqrt: 2.0ms (26.6% of total)

ival-add: 1.0ms (13.3% 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	3.988481505262403e+137	5.0295064784415654e+138

Results

5.0ms

96×

valid

Compiler

Compiled 111 to 71 computations (36% saved)

Precisions

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

ival-sub: 1.0ms (38.9% of total)

ival-mult: 1.0ms (38.9% of total)

ival-sqrt: 1.0ms (38.9% of total)

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

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	7.871050650065237e-8	0.0018784180401638327

Results

9.0ms

128×

valid

Compiler

Compiled 87 to 75 computations (13.8% saved)

Precisions

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

ival-sub: 1.0ms (28.9% of total)

ival-add: 1.0ms (28.9% of total)

ival-mult: 1.0ms (28.9% of total)

ival-sqrt: 1.0ms (28.9% of total)

const: 0.0ms (0% of total)

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
22×	`+-commutative_binary64`
14×	`sub-neg_binary64`
8×	`cancel-sign-sub-inv_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	238
1	114	238
2	130	238
3	137	238
4	140	238
5	141	238

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(if (<=.f64 y #s(literal -71999999999999999262678055344365488135779184017408 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 4999999999999999746935676485370094334818225055067050365419520 binary64)) (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))
(if (<=.f64 y #s(literal -78000000000000001797382989223809759745675613962240 binary64)) (.f64 (sqrt.f64 x) y) (if (<=.f64 y #s(literal 28000000000000002350773697061806614268857019655042642096800399360 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 x) y)))
(if (<=.f64 y #s(literal -38000000000000001858035908287819345307717381907376799739860903753736441168397216813400050695332373913243795894236815228720767022661632 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) x)))) (if (<=.f64 y #s(literal 40999999999999997628064237612253600133943907536406980481228508802526768806700834398771478236485503653352620972758742591024020475246280704 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -38000000000000001858035908287819345307717381907376799739860903753736441168397216813400050695332373913243795894236815228720767022661632 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 300000000000000009852468746761477823696103769907883508653694027877624102069636398663200394688318223805184851435296730673594547190263447552 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -38000000000000001858035908287819345307717381907376799739860903753736441168397216813400050695332373913243795894236815228720767022661632 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1300000000000000042694031235966403902683116336267495204166007454136371108968424394207201710316045636489134356219619166252243037824474939392 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -54999999999999997746560955263675094651541375272385737279703467599047077564501393688941212248641725727293351920566016701104128 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) x) (if (<=.f64 y #s(literal 3200000000000000105092999965455763452758440212350757425639402964027990422076121585740804210008727720588638415309831793851675170029476773888 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -54999999999999997746560955263675094651541375272385737279703467599047077564501393688941212248641725727293351920566016701104128 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) x) (if (<=.f64 y #s(literal 4600000000000000151071187450342659963340257805254213799356641760790236231734424779502406051887546098346167722007883203661783056917372862464 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (.f64 x x))))
(if (<=.f64 y #s(literal -1449999999999999928634935671921010607921462309889908207097798442259794521281555433089931467789820693358902558856099770321076224 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1200000000000000039409874987045911294784415079631534034614776111510496408278545594652801578753272895220739405741186922694378188761053790208 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (*.f64 x x))))
(if (<=.f64 y #s(literal 4200000000000000137934562454660689531745452778710369121151716390286737428974909581284805525636455133272587920094154229430323660663688265728 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) x)
(if (<=.f64 x #s(literal 2132904783522667/1152921504606846976 binary64)) #s(literal 1 binary64) (neg.f64 x))
#s(literal 1 binary64)

Outputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(if (<=.f64 y #s(literal -71999999999999999262678055344365488135779184017408 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 4999999999999999746935676485370094334818225055067050365419520 binary64)) (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))
(if (<=.f64 y #s(literal -78000000000000001797382989223809759745675613962240 binary64)) (.f64 (sqrt.f64 x) y) (if (<=.f64 y #s(literal 28000000000000002350773697061806614268857019655042642096800399360 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 x) y)))
(if (<=.f64 y #s(literal -38000000000000001858035908287819345307717381907376799739860903753736441168397216813400050695332373913243795894236815228720767022661632 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) x)))) (if (<=.f64 y #s(literal 40999999999999997628064237612253600133943907536406980481228508802526768806700834398771478236485503653352620972758742591024020475246280704 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -38000000000000001858035908287819345307717381907376799739860903753736441168397216813400050695332373913243795894236815228720767022661632 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))) (if (<=.f64 y #s(literal 40999999999999997628064237612253600133943907536406980481228508802526768806700834398771478236485503653352620972758742591024020475246280704 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
(if (<=.f64 y #s(literal -38000000000000001858035908287819345307717381907376799739860903753736441168397216813400050695332373913243795894236815228720767022661632 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 300000000000000009852468746761477823696103769907883508653694027877624102069636398663200394688318223805184851435296730673594547190263447552 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -38000000000000001858035908287819345307717381907376799739860903753736441168397216813400050695332373913243795894236815228720767022661632 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (if (<=.f64 y #s(literal 300000000000000009852468746761477823696103769907883508653694027877624102069636398663200394688318223805184851435296730673594547190263447552 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(if (<=.f64 y #s(literal -38000000000000001858035908287819345307717381907376799739860903753736441168397216813400050695332373913243795894236815228720767022661632 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1300000000000000042694031235966403902683116336267495204166007454136371108968424394207201710316045636489134356219619166252243037824474939392 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -38000000000000001858035908287819345307717381907376799739860903753736441168397216813400050695332373913243795894236815228720767022661632 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (if (<=.f64 y #s(literal 1300000000000000042694031235966403902683116336267495204166007454136371108968424394207201710316045636489134356219619166252243037824474939392 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(if (<=.f64 y #s(literal -54999999999999997746560955263675094651541375272385737279703467599047077564501393688941212248641725727293351920566016701104128 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) x) (if (<=.f64 y #s(literal 3200000000000000105092999965455763452758440212350757425639402964027990422076121585740804210008727720588638415309831793851675170029476773888 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -54999999999999997746560955263675094651541375272385737279703467599047077564501393688941212248641725727293351920566016701104128 binary64)) (/.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) x)) (if (<=.f64 y #s(literal 3200000000000000105092999965455763452758440212350757425639402964027990422076121585740804210008727720588638415309831793851675170029476773888 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(if (<=.f64 y #s(literal -54999999999999997746560955263675094651541375272385737279703467599047077564501393688941212248641725727293351920566016701104128 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) x) (if (<=.f64 y #s(literal 4600000000000000151071187450342659963340257805254213799356641760790236231734424779502406051887546098346167722007883203661783056917372862464 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (.f64 x x))))
(if (<=.f64 y #s(literal -54999999999999997746560955263675094651541375272385737279703467599047077564501393688941212248641725727293351920566016701104128 binary64)) (/.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) x)) (if (<=.f64 y #s(literal 4600000000000000151071187450342659963340257805254213799356641760790236231734424779502406051887546098346167722007883203661783056917372862464 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (.f64 x x))))
(if (<=.f64 y #s(literal -1449999999999999928634935671921010607921462309889908207097798442259794521281555433089931467789820693358902558856099770321076224 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1200000000000000039409874987045911294784415079631534034614776111510496408278545594652801578753272895220739405741186922694378188761053790208 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (*.f64 x x))))
(if (<=.f64 y #s(literal -1449999999999999928634935671921010607921462309889908207097798442259794521281555433089931467789820693358902558856099770321076224 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)) (if (<=.f64 y #s(literal 1200000000000000039409874987045911294784415079631534034614776111510496408278545594652801578753272895220739405741186922694378188761053790208 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (.f64 x x))))
(if (<=.f64 y #s(literal 4200000000000000137934562454660689531745452778710369121151716390286737428974909581284805525636455133272587920094154229430323660663688265728 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) x)
(if (<=.f64 x #s(literal 2132904783522667/1152921504606846976 binary64)) #s(literal 1 binary64) (neg.f64 x))
(if (<=.f64 x #s(literal 2132904783522667/1152921504606846976 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
#s(literal 1 binary64)

soundness2.5s (26.8%)

Rules

3940×	`-lowering-.f32`
3940×	`-lowering-.f64`
3224×	`/-lowering-/.f32`
3224×	`/-lowering-/.f64`
3140×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	139	1465
1	436	1330
2	1275	1297
3	4294	1293
0	8437	1293
0	52	347
1	148	334
2	499	328
3	1667	322
4	7139	322
0	8418	322
0	183	1562
1	543	1394
2	1731	1345
3	5556	1335
0	8144	1335
0	510	4580
1	1835	3818
2	7105	3800
0	8003	3800
0	7	17
1	42	16
2	375	16
3	5982	16
0	8180	16
0	30	134
1	226	128
2	2547	121
0	8495	121
0	23	99
1	179	92
2	1515	82
0	8857	82

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
1×	iter limit
1×	node limit

Compiler

Compiled 792 to 430 computations (45.7% saved)

preprocess93.0ms (1%)

Compiler: Compiled 522 to 158 computations (69.7% saved)

analyze18.0ms (0.2%)

sample807.0ms (8.5%)

preprocess119.0ms (1.3%)

explain70.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify42.0ms (0.4%)

localize26.0ms (0.3%)

series5.0ms (0.1%)

rewrite311.0ms (3.3%)

simplify159.0ms (1.7%)

eval27.0ms (0.3%)

prune34.0ms (0.4%)

simplify217.0ms (2.3%)

localize144.0ms (1.5%)

series27.0ms (0.3%)

rewrite485.0ms (5.1%)

simplify411.0ms (4.3%)

eval254.0ms (2.7%)

prune185.0ms (2%)

simplify197.0ms (2.1%)

localize109.0ms (1.2%)

series15.0ms (0.2%)

rewrite628.0ms (6.7%)

simplify262.0ms (2.8%)

eval250.0ms (2.6%)

prune195.0ms (2.1%)

simplify156.0ms (1.7%)

localize192.0ms (2%)

series11.0ms (0.1%)

rewrite306.0ms (3.2%)

simplify244.0ms (2.6%)

eval171.0ms (1.8%)

prune198.0ms (2.1%)

regimes79.0ms (0.8%)

regimes65.0ms (0.7%)

regimes38.0ms (0.4%)

regimes21.0ms (0.2%)

regimes46.0ms (0.5%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes32.0ms (0.3%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch26.0ms (0.3%)

bsearch23.0ms (0.2%)

bsearch28.0ms (0.3%)

bsearch28.0ms (0.3%)

bsearch25.0ms (0.3%)

bsearch21.0ms (0.2%)

bsearch20.0ms (0.2%)

bsearch22.0ms (0.2%)

bsearch9.0ms (0.1%)

bsearch14.0ms (0.1%)

simplify13.0ms (0.1%)

soundness2.5s (26.8%)

preprocess93.0ms (1%)

end0.0ms (0%)

Profiling