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

analyze13.0ms (0.1%)

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 (25.5% of total)

ival-add: 1.0ms (25.5% of total)

ival-mult: 1.0ms (25.5% of total)

ival-sqrt: 1.0ms (25.5% of total)

const: 0.0ms (0% of total)

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

sample920.0ms (7.1%)

Results

554.0ms	8253×	0	valid
13.0ms	257×	0	invalid
1.0ms	3×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 305.0ms

ival-sqrt: 87.0ms (28.5% of total)

ival-mult: 84.0ms (27.5% of total)

ival-add: 62.0ms (20.3% of total)

ival-sub: 59.0ms (19.3% of total)

const: 10.0ms (3.3% of total)

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

Bogosity

preprocess59.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

336×	`accelerator-lowering-fma.f32`
336×	`accelerator-lowering-fma.f64`
252×	`sub-neg`
206×	`cancel-sign-sub-inv`
192×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	56
1	59	51
2	173	50
3	475	50
4	972	50
5	1355	50
6	1493	50
7	1515	50
0	7	8
1	15	8
2	34	8
3	61	8
4	125	8
5	243	8
6	372	8
7	420	8
8	443	8
0	443	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 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) 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)))
(+ 1 (- (* y (sqrt x)) x))
(+ (- 1 (neg x)) (* y (sqrt (neg x))))
(+ 1 (+ x (* y (sqrt (neg x)))))
(+ (- 1 x) (* (neg y) (sqrt x)))
(- (- 1 x) (* y (sqrt x)))
(neg (+ (- 1 (neg x)) (* y (sqrt (neg x)))))
(- -1 (+ x (* y (sqrt (neg x)))))
(neg (+ (- 1 x) (* (neg y) (sqrt x))))
(+ x (+ (* y (sqrt x)) -1))
(+ (- 1 y) (* x (sqrt y)))

explain76.0ms (0.6%)

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

42.0ms

512×

valid

Compiler

Compiled 56 to 29 computations (48.2% saved)

Precisions

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

ival-sub: 6.0ms (28.6% of total)

ival-sqrt: 6.0ms (28.6% of total)

ival-mult: 5.0ms (23.9% of total)

ival-add: 2.0ms (9.5% of total)

const: 1.0ms (4.8% 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
▶	99.8%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Compiler

Compiled 10 to 7 computations (30% saved)

localize73.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 8 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 #s(literal 1 binary64) x)
✓	cost-diff	0	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
✓	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))

Rules

336×	`accelerator-lowering-fma.f32`
336×	`accelerator-lowering-fma.f64`
144×	`-lowering-.f32`
144×	`-lowering-.f64`
112×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	15	20
2	34	20
3	61	20
4	125	20
5	243	20
6	372	20
7	420	20
8	443	20
0	443	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 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) 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)

Results

22.0ms

256×

valid

Compiler

Compiled 23 to 11 computations (52.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sub: 3.0ms (34.3% of total)

ival-mult: 2.0ms (22.9% of total)

ival-sqrt: 2.0ms (22.9% of total)

ival-add: 1.0ms (11.4% of total)

const: 1.0ms (11.4% of total)

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

series9.0ms (0.1%)

Counts

4 → 72

Calls

Call 1

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

Outputs
#<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 (+ 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))))>

Calls

18 calls:

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

rewrite640.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

6324×	`accelerator-lowering-fma.f32`
6324×	`accelerator-lowering-fma.f64`
4236×	`-lowering-.f32`
4236×	`-lowering-.f64`
2084×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	42	17
2	353	17
3	5349	17
0	9009	16

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 252

Calls

Call 1

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

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

simplify404.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

7542×	`accelerator-lowering-fma.f32`
7542×	`accelerator-lowering-fma.f64`
2696×	`-lowering-.f32`
2696×	`-lowering-.f64`
1866×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	369
1	141	369
2	439	357
3	1294	357
4	4665	357
5	7378	357
0	8093	330

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(* (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))))
(+ 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))))

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

eval63.0ms (0.5%)

Compiler: Compiled 7289 to 3512 computations (51.8% saved)

prune47.0ms (0.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	312	12	324
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	312	13	325

Accuracy

100.0%

Counts

325 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.6%	(/.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 y (.f64 y x))) (-.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (sqrt.f64 x)))))
	42.8%	(/.f64 (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 y (.f64 y x)) #s(literal 3/2 binary64))) (+.f64 (.f64 y (.f64 y x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (sqrt.f64 x)))))))
	72.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))))
▶	58.7%	(-.f64 #s(literal 1 binary64) x)
▶	99.7%	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
	99.6%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
▶	73.1%	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (pow.f64 (.f64 x x) #s(literal 1/4 binary64))))
✓	99.8%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
▶	73.0%	(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
	48.1%	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))))
	67.4%	(.f64 (+.f64 (.f64 y (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))))))
	42.2%	(*.f64 (sqrt.f64 x) y)
	61.0%	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))

Compiler

Compiled 416 to 279 computations (32.9% saved)

localize965.0ms (7.4%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	128	(-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 y (*.f64 y x)))
✓	cost-diff	128	(/.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 y (.f64 y x))) (-.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (sqrt.f64 x)))))
✓	cost-diff	0	(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
✓	cost-diff	0	(.f64 y (pow.f64 (.f64 x x) #s(literal 1/4 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (pow.f64 (.f64 x x) #s(literal 1/4 binary64))))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) y)
✓	cost-diff	0	(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(pow.f64 x #s(literal 1/4 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	6656	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
✓	cost-diff	6656	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
✓	accuracy	99.8%	(.f64 y (.f64 y x))
✓	accuracy	99.6%	(*.f64 y (sqrt.f64 x))
✓	accuracy	88.3%	(-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 y (*.f64 y x)))
✓	accuracy	61.7%	(/.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 y (.f64 y x))) (-.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (sqrt.f64 x)))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (pow.f64 (.f64 x x) #s(literal 1/4 binary64))))
✓	accuracy	99.6%	(.f64 y (pow.f64 (.f64 x x) #s(literal 1/4 binary64)))
✓	accuracy	55.2%	(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
✓	accuracy	99.6%	(*.f64 (sqrt.f64 x) y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(pow.f64 x #s(literal 1/4 binary64))
✓	accuracy	100.0%	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
✓	accuracy	99.6%	(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
✓	accuracy	99.5%	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y))

Rules

10716×	`accelerator-lowering-fma.f32`
10716×	`accelerator-lowering-fma.f64`
2386×	`-lowering-.f32`
2386×	`-lowering-.f64`
2128×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	156
1	66	140
2	173	136
3	377	136
4	961	132
5	2034	132
6	4282	132
7	7153	132
8	7874	132
0	8134	121

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

328.0ms

256×

valid

Compiler

Compiled 169 to 80 computations (52.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 288.0ms

ival-pow: 212.0ms (73.5% of total)

ival-mult: 41.0ms (14.2% of total)

ival-add: 16.0ms (5.6% of total)

ival-sub: 11.0ms (3.8% of total)

const: 4.0ms (1.4% of total)

ival-div: 2.0ms (0.7% of total)

ival-sqrt: 2.0ms (0.7% of total)

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

series217.0ms (1.7%)

Counts

18 → 348

Calls

Call 1

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

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

Calls

87 calls:

Time	Variable		Point	Expression
62.0ms	x	@	0	(pow (* x x) 1/4)
54.0ms	y	@	0	(* (pow x 1/4) y)
28.0ms	x	@	0	(* (pow x 1/4) y)
18.0ms	x	@	-inf	(* (pow x 1/4) y)
13.0ms	y	@	0	(* y (pow (* x x) 1/4))

rewrite1.1s (8.4%)

Algorithm

1×	batch-egg-rewrite

Rules

5748×	`accelerator-lowering-fma.f32`
5748×	`accelerator-lowering-fma.f64`
4652×	`/-lowering-/.f32`
4652×	`/-lowering-/.f64`
3862×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	118
1	181	100
2	1452	100
0	8379	96

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 679

Calls

Call 1

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

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

simplify717.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

8930×	`accelerator-lowering-fma.f32`
8930×	`accelerator-lowering-fma.f64`
3746×	`-lowering-.f32`
3746×	`-lowering-.f64`
3520×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	320	3325
1	1018	3177
2	3676	3031
0	8540	2877

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

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

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

eval286.0ms (2.2%)

Compiler: Compiled 36261 to 17223 computations (52.5% saved)

prune265.0ms (2%)

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	1216	21	1237
Fresh	4	3	7
Picked	3	2	5
Done	0	1	1
Total	1223	27	1250

Accuracy

100.0%

Counts

1250 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.4%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 y y)))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x (.f64 y y)))) (-.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (sqrt.f64 x)))))
	34.9%	(/.f64 (-.f64 (.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 #s(literal 1 binary64)))) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
	48.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y x))) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))))
	42.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))
▶	40.0%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
	45.8%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
	45.2%	(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
	42.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 y y)))))
	58.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
	72.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))))
✓	58.7%	(-.f64 #s(literal 1 binary64) x)
	28.1%	(-.f64 #s(literal 0 binary64) x)
✓	99.8%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
	72.8%	(+.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) y) #s(literal 1 binary64))
▶	72.6%	(+.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64)) y) #s(literal 1 binary64))
	61.5%	(+.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) y) #s(literal 1 binary64))
	72.9%	(+.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) #s(literal 1 binary64))
	72.9%	(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 1/8 binary64))) y) #s(literal 1 binary64))
✓	73.0%	(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
	39.8%	(.f64 (/.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) x) (*.f64 x x)))
	40.0%	(.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))))))
	45.8%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
	67.4%	(.f64 (+.f64 (.f64 y (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))))))
	42.2%	(*.f64 (sqrt.f64 x) y)
▶	89.5%	(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
▶	61.0%	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
▶	32.1%	#s(literal 1 binary64)

Compiler

Compiled 801 to 563 computations (29.7% saved)

localize696.0ms (5.4%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 x #s(literal 1/8 binary64))
✓	cost-diff	0	(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64)) y)
✓	cost-diff	0	(+.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64)) y) #s(literal 1 binary64))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(+.f64 #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 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) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) x) y)
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
✓	cost-diff	128	(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
✓	accuracy	100.0%	(pow.f64 x #s(literal 1/8 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64)) y) #s(literal 1 binary64))
✓	accuracy	99.6%	(*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64)) y)
✓	accuracy	98.6%	(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
✓	accuracy	99.9%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.7%	(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	92.8%	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x (+.f64 x #s(literal 1 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	69.4%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) x) y)
✓	accuracy	100.0%	(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
✓	accuracy	89.5%	(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))

Rules

5512×	`accelerator-lowering-fma.f32`
5512×	`accelerator-lowering-fma.f64`
3704×	`-lowering-.f32`
3704×	`-lowering-.f64`
1816×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	128
1	70	128
2	118	128
3	249	126
4	467	126
5	1014	126
6	2227	126
7	4264	126
8	6879	126
0	8170	119

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(* y (+ (sqrt x) (/ (- 1 x) y)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) x))
y
(+ (sqrt x) (/ (- 1 x) y))
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(sqrt x)
(sqrt.f64 x)
x
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(/ (- 1 (* x (* x x))) (+ 1 (* x (+ x 1))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64)) (+.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)))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(+ 1 (* x (+ x 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))
(* x (+ x 1))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(+ x 1)
(+.f64 x #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)))))
(+ -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)))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* (pow (pow x 1/8) 4) y) 1)
(+.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64))))
(* (pow (pow x 1/8) 4) y)
(*.f64 y (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64)))
(pow (pow x 1/8) 4)
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow x 1/8)
(pow.f64 x #s(literal 1/8 binary64))
1/8
#s(literal 1/8 binary64)
4
#s(literal 4 binary64)

Results

162.0ms

256×

valid

Compiler

Compiled 146 to 88 computations (39.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-pow: 49.0ms (40.2% of total)

ival-mult: 21.0ms (17.2% of total)

ival-div: 16.0ms (13.1% of total)

ival-add: 14.0ms (11.5% of total)

ival-sqrt: 10.0ms (8.2% of total)

ival-sub: 8.0ms (6.6% of total)

const: 4.0ms (3.3% of total)

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

series30.0ms (0.2%)

Counts

17 → 300

Calls

Call 1

Inputs
#<alt (* y (+ (sqrt x) (/ (- 1 x) y)))>
#<alt (+ (sqrt x) (/ (- 1 x) y))>
#<alt (/ (- 1 x) y)>
#<alt (sqrt x)>
#<alt (/ (- 1 (* x (* x x))) (+ 1 (* x (+ x 1))))>
#<alt (* x (* x x))>
#<alt (* x (+ x 1))>
#<alt (* x x)>
#<alt (* x (+ -1 (* y (sqrt (/ 1 x)))))>
#<alt (* y (sqrt (/ 1 x)))>
#<alt (sqrt (/ 1 x))>
#<alt (+ -1 (* y (sqrt (/ 1 x))))>
#<alt (pow (pow x 1/8) 4)>
#<alt (* (pow (pow x 1/8) 4) y)>
#<alt (+ (* (pow (pow x 1/8) 4) y) 1)>
#<alt (pow x 1/8)>
#<alt (- 1 (* x (* x x)))>

Outputs
#<alt (- 1 x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (* (sqrt x) y)>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* y (+ (sqrt x) (/ 1 y)))>
#<alt (+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))>
#<alt (+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))>
#<alt (+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))>
#<alt (* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))>
#<alt (* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))>
#<alt (* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))>
#<alt (* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))>
#<alt (* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))>
#<alt (* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))>
#<alt (* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))>
#<alt (* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))>
#<alt (+ (sqrt x) (/ 1 y))>
#<alt (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))>
#<alt (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))>
#<alt (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))>
#<alt (* x (- (sqrt (/ 1 x)) (/ 1 y)))>
#<alt (* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))>
#<alt (* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))>
#<alt (* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))>
#<alt (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))>
#<alt (* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y)))))>
#<alt (/ (- 1 x) y)>
#<alt (/ (- (+ 1 (* (sqrt x) y)) x) y)>
#<alt (/ (- (+ 1 (* (sqrt x) y)) x) y)>
#<alt (/ (- (+ 1 (* (sqrt x) y)) x) y)>
#<alt (sqrt x)>
#<alt (- (+ (sqrt x) (/ 1 y)) (/ x y))>
#<alt (- (+ (sqrt x) (/ 1 y)) (/ x y))>
#<alt (- (+ (sqrt x) (/ 1 y)) (/ x y))>
#<alt (sqrt x)>
#<alt (- (+ (sqrt x) (/ 1 y)) (/ x y))>
#<alt (- (+ (sqrt x) (/ 1 y)) (/ x y))>
#<alt (- (+ (sqrt x) (/ 1 y)) (/ x y))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ x y)) (/ 1 y))>
#<alt (+ (* -1 (/ x y)) (/ 1 y))>
#<alt (+ (* -1 (/ x y)) (/ 1 y))>
#<alt (* -1 (/ x y))>
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))>
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))>
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (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 (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 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)))>
#<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 (* (sqrt x) y)>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (* (sqrt x) y)>
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))>
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))>
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt -1>
#<alt (- (* (sqrt (/ 1 x)) y) 1)>
#<alt (- (* (sqrt (/ 1 x)) y) 1)>
#<alt (- (* (sqrt (/ 1 x)) y) 1)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* y (- (sqrt (/ 1 x)) (/ 1 y)))>
#<alt (* y (- (sqrt (/ 1 x)) (/ 1 y)))>
#<alt (* y (- (sqrt (/ 1 x)) (/ 1 y)))>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (/ (+ (* -1 x) (* (sqrt x) y)) x)>
#<alt (/ (+ (* -1 x) (* (sqrt x) y)) x)>
#<alt (/ (+ (* -1 x) (* (sqrt x) y)) x)>
#<alt (- (* (sqrt (/ 1 x)) y) 1)>
#<alt (- (* (sqrt (/ 1 x)) y) 1)>
#<alt (- (* (sqrt (/ 1 x)) y) 1)>
#<alt (- (* (sqrt (/ 1 x)) y) 1)>
#<alt (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)>
#<alt (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)>
#<alt (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)>
#<alt (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)>
#<alt (sqrt 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 (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (+ 1 (* (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 (pow (* 1 x) 1/8)>
#<alt (pow (* 1 x) 1/8)>
#<alt (pow (* 1 x) 1/8)>
#<alt (pow (* 1 x) 1/8)>
#<alt (pow (* 1 x) 1/8)>
#<alt (pow (* 1 x) 1/8)>
#<alt (pow (* 1 x) 1/8)>
#<alt (pow (* 1 x) 1/8)>
#<alt (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (exp (* 1/8 (+ (log -1) (* -1 (log (/ -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)))))>

Calls

75 calls:

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

rewrite650.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

5372×	`accelerator-lowering-fma.f32`
5372×	`accelerator-lowering-fma.f64`
4432×	`/-lowering-/.f32`
4432×	`/-lowering-/.f64`
3528×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	87
1	179	80
2	1435	76
0	8680	73

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 835

Calls

Call 1

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

Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (.f64 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))))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 y (sqrt.f64 x)))
(fma.f64 x (/.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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y (*.f64 y (sqrt.f64 x)))
(fma.f64 (-.f64 #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 y (sqrt.f64 x)))
(fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (+.f64 #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 y (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (-.f64 #s(literal 1 binary64) x)) (.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 y (sqrt.f64 x)))
(fma.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 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))) (.f64 y (sqrt.f64 x)))
(fma.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 (+.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 x #s(literal 1 binary64)))))) (.f64 y (sqrt.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 y (sqrt.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 y (sqrt.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #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 y (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))) (.f64 y (sqrt.f64 x)))
(fma.f64 (-.f64 (.f64 (/.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 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (.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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))))))) (.f64 y (sqrt.f64 x)))
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (.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 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))))) (.f64 y (sqrt.f64 x)))
(fma.f64 (*.f64 x y) (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y) (.f64 y (sqrt.f64 x)))
(fma.f64 (.f64 y (+.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) y) (.f64 y (sqrt.f64 x)))
(fma.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 x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y) (.f64 y (sqrt.f64 x)))
(fma.f64 (.f64 (+.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -1 binary64) y) (.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) (.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 x #s(literal 1 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) (.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 x #s(literal 1 binary64)))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 x #s(literal 1 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 x #s(literal 1 binary64))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.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) x) (.f64 x x)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))) (-.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 y (sqrt.f64 x)))
(fma.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 (.f64 x (+.f64 x #s(literal 1 binary64))) (.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 x #s(literal 1 binary64)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))))) (.f64 y (sqrt.f64 x)))
(fma.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 x (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 x #s(literal 1 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))))) (.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) (.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 x #s(literal 1 binary64)))))))) (/.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 (.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))))) (.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 x #s(literal 1 binary64))))))) (/.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 x #s(literal 1 binary64)))))) (.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))) (/.f64 y (-.f64 #s(literal -1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 y (+.f64 x #s(literal 1 binary64))) (.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 y y) (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 y (/.f64 y (-.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 y (sqrt.f64 x)))
(fma.f64 (/.f64 y (/.f64 y (+.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 y (sqrt.f64 x)))
(fma.f64 (/.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) x) y) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 y y) (*.f64 y (sqrt.f64 x)))
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 y y)) (-.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 (pow.f64 (.f64 x (.f64 y y)) #s(literal 3/2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 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 x (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) (/.f64 y (-.f64 #s(literal 1 binary64) x)))) (.f64 y (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) (/.f64 y (-.f64 #s(literal 1 binary64) x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal -1 binary64) x) y)) (*.f64 y (+.f64 x (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) (/.f64 y (-.f64 #s(literal 1 binary64) x)))) (.f64 (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) (/.f64 y (-.f64 #s(literal 1 binary64) x))))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal -1 binary64) x) y)) (*.f64 (+.f64 x (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x)))) y)))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 y y)) #s(literal 3/2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)))) (+.f64 (.f64 x (.f64 y y)) (-.f64 (.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)) (.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 #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 y (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) (/.f64 y (-.f64 #s(literal 1 binary64) x)))))) (+.f64 x (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) (/.f64 y (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 y (+.f64 x (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x))))) (+.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) (/.f64 y (-.f64 #s(literal 1 binary64) x))))) y) (+.f64 x (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) (/.f64 y (-.f64 #s(literal 1 binary64) x)))))
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(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/32 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/16 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/16 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))))
(+.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x 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 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x 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 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(fma.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x #s(literal 1 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) x) x #s(literal 1 binary64))
(neg.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))
(/.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) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
(/.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 (.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 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.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 0 binary64) (+.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 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (-.f64 (.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (.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 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.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 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))) (+.f64 (.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x 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 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x 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 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 3 binary64))) (+.f64 (.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 x x))))) (+.f64 (.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (.f64 (.f64 x (.f64 x 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 (.f64 x x)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))))
(.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 (.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(.f64 (-.f64 #s(literal 0 binary64) (-.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 0 binary64) (+.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 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))

simplify775.0ms (6%)

Algorithm

1×	egg-herbie

Rules

13626×	`accelerator-lowering-fma.f32`
13626×	`accelerator-lowering-fma.f64`
4834×	`-lowering-.f32`
4834×	`-lowering-.f64`
2332×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	1846
1	346	1670
2	1163	1614
3	3054	1614
4	7344	1614
0	8907	1533

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* y (+ (sqrt x) (/ 1 y)))
(+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))
(+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))
(+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))
(* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))
(* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))
(* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))
(* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))
(* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))
(* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))
(* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))
(* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))
(+ (sqrt x) (/ 1 y))
(+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))
(+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))
(+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))
(* x (- (sqrt (/ 1 x)) (/ 1 y)))
(* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))
(* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))
(* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))
(* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y)))))
(* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y)))))
(* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y)))))
(/ (- 1 x) y)
(/ (- (+ 1 (* (sqrt x) y)) x) y)
(/ (- (+ 1 (* (sqrt x) y)) x) y)
(/ (- (+ 1 (* (sqrt x) y)) x) y)
(sqrt x)
(- (+ (sqrt x) (/ 1 y)) (/ x y))
(- (+ (sqrt x) (/ 1 y)) (/ x y))
(- (+ (sqrt x) (/ 1 y)) (/ x y))
(sqrt x)
(- (+ (sqrt x) (/ 1 y)) (/ x y))
(- (+ (sqrt x) (/ 1 y)) (/ x y))
(- (+ (sqrt x) (/ 1 y)) (/ x y))
(/ 1 y)
(+ (* -1 (/ x y)) (/ 1 y))
(+ (* -1 (/ x y)) (/ 1 y))
(+ (* -1 (/ x y)) (/ 1 y))
(* -1 (/ x y))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(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))))
(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)
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)))
(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)
(* (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))))
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
-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 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)))
(* (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 (* (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))))
(pow (* 1 x) 1/8)
(pow (* 1 x) 1/8)
(pow (* 1 x) 1/8)
(pow (* 1 x) 1/8)
(pow (* 1 x) 1/8)
(pow (* 1 x) 1/8)
(pow (* 1 x) 1/8)
(pow (* 1 x) 1/8)
(exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/8 (+ (log -1) (* -1 (log (/ -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)))))

Outputs
(- 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))
(* y (+ (sqrt x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.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))) (/ 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))))))
(+ (sqrt x) (/ 1 y))
(+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))
(+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(* x (- (sqrt (/ 1 x)) (/ 1 y)))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) y)))
(* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -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)) (/ 1 (* x y)))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y)))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y)))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- (+ 1 (* (sqrt x) y)) x) y)
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(/ (- (+ 1 (* (sqrt x) y)) x) y)
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(/ (- (+ 1 (* (sqrt x) y)) x) y)
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(sqrt x)
(sqrt.f64 x)
(- (+ (sqrt x) (/ 1 y)) (/ x y))
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(- (+ (sqrt x) (/ 1 y)) (/ x y))
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(- (+ (sqrt x) (/ 1 y)) (/ x y))
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(sqrt x)
(sqrt.f64 x)
(- (+ (sqrt x) (/ 1 y)) (/ x y))
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(- (+ (sqrt x) (/ 1 y)) (/ x y))
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(- (+ (sqrt x) (/ 1 y)) (/ x y))
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ x y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(+ (* -1 (/ x y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(+ (* -1 (/ x y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(* x (- (/ 1 (* x y)) (/ 1 y)))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(* x (- (/ 1 (* x y)) (/ 1 y)))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -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)
(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))
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))
(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)
(* (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 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 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 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 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 (/ 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 (pow (sqrt -1) 2)))
(*.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(*.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(*.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(*.f64 y (-.f64 #s(literal 0 binary64) (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))
(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)))
-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 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(+.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)))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(+.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)))
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(+.f64 (*.f64 (sqrt.f64 x) (/.f64 y x)) #s(literal -1 binary64))
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(+.f64 (*.f64 (sqrt.f64 x) (/.f64 y x)) #s(literal -1 binary64))
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(+.f64 (*.f64 (sqrt.f64 x) (/.f64 y x)) #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) 1)
(+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(-.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(-.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(-.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(-.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(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)
(* (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 (* (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 y (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -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 #s(literal 1 binary64) (.f64 y (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 x (sqrt.f64 (/.f64 #s(literal 1 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 #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))
(pow (* 1 x) 1/8)
(pow.f64 x #s(literal 1/8 binary64))
(pow (* 1 x) 1/8)
(pow.f64 x #s(literal 1/8 binary64))
(pow (* 1 x) 1/8)
(pow.f64 x #s(literal 1/8 binary64))
(pow (* 1 x) 1/8)
(pow.f64 x #s(literal 1/8 binary64))
(pow (* 1 x) 1/8)
(pow.f64 x #s(literal 1/8 binary64))
(pow (* 1 x) 1/8)
(pow.f64 x #s(literal 1/8 binary64))
(pow (* 1 x) 1/8)
(pow.f64 x #s(literal 1/8 binary64))
(pow (* 1 x) 1/8)
(pow.f64 x #s(literal 1/8 binary64))
(exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x))))))
(pow.f64 x #s(literal 1/8 binary64))
(exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x))))))
(pow.f64 x #s(literal 1/8 binary64))
(exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x))))))
(pow.f64 x #s(literal 1/8 binary64))
(exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x))))))
(pow.f64 x #s(literal 1/8 binary64))
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 #s(literal 0 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)))
(* (pow x 3) (- (/ 1 (pow x 3)) 1))
(-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(* -1 (pow x 3))
(-.f64 #s(literal 0 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)))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))
(-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))

eval237.0ms (1.8%)

Compiler: Compiled 22648 to 12027 computations (46.9% saved)

prune171.0ms (1.3%)

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	1119	16	1135
Fresh	15	4	19
Picked	4	1	5
Done	1	2	3
Total	1139	23	1162

Accuracy

100.0%

Counts

1162 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.3%	(/.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 (.f64 x (.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)))))
	35.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) x))
	60.9%	(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x))
	57.4%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y)
	57.3%	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
	58.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
▶	68.0%	(-.f64 (*.f64 (sqrt.f64 x) y) x)
✓	58.7%	(-.f64 #s(literal 1 binary64) x)
▶	28.1%	(-.f64 #s(literal 0 binary64) x)
	66.0%	(+.f64 (/.f64 (*.f64 x y) (sqrt.f64 x)) #s(literal 1 binary64))
	66.0%	(+.f64 (*.f64 (/.f64 y (sqrt.f64 x)) x) #s(literal 1 binary64))
	72.9%	(+.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 1 binary64))
▶	73.0%	(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) y) #s(literal 1 binary64))
✓	73.0%	(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
	34.5%	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) (.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 x #s(literal 1 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))))
	48.4%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y)
▶	38.3%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 y (+.f64 x #s(literal 1 binary64))))
▶	57.2%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (-.f64 #s(literal 1 binary64) x)))
	45.8%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
	61.0%	(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x))) x)
	42.2%	(*.f64 (sqrt.f64 x) y)
	61.0%	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))
✓	32.1%	#s(literal 1 binary64)

Compiler

Compiled 566 to 385 computations (32% saved)

localize631.0ms (4.9%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) y)
✓	cost-diff	0	(-.f64 (*.f64 (sqrt.f64 x) y) x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	0	(/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))))
✓	cost-diff	384	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 y (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(*.f64 y (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	384	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (-.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	0	(pow.f64 x #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) y)
✓	cost-diff	128	(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) y) #s(literal 1 binary64))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(-.f64 (*.f64 (sqrt.f64 x) y) x)
✓	accuracy	99.6%	(*.f64 (sqrt.f64 x) y)
✓	accuracy	100.0%	(/.f64 y (+.f64 x #s(literal 1 binary64)))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))))
✓	accuracy	93.3%	(/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	accuracy	76.9%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 y (+.f64 x #s(literal 1 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 y (-.f64 #s(literal 1 binary64) x))
✓	accuracy	84.7%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	100.0%	(pow.f64 x #s(literal -1/2 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) y) #s(literal 1 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) y)

Rules

3388×	`accelerator-lowering-fma.f32`
3388×	`accelerator-lowering-fma.f64`
2746×	`-lowering-.f32`
2746×	`-lowering-.f64`
2556×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	116
1	51	102
2	118	92
3	367	92
4	1089	92
5	3713	92
6	6866	92
0	8436	92

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

212.0ms

256×

valid

Compiler

Compiled 123 to 69 computations (43.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-div: 55.0ms (30.8% of total)

ival-pow: 51.0ms (28.5% of total)

ival-mult: 49.0ms (27.4% of total)

ival-sub: 13.0ms (7.3% of total)

ival-add: 5.0ms (2.8% of total)

const: 3.0ms (1.7% of total)

ival-sqrt: 2.0ms (1.1% of total)

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

series37.0ms (0.3%)

Counts

17 → 324

Calls

Call 1

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

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

Calls

81 calls:

Time	Variable		Point	Expression
7.0ms	y	@	inf	(* (/ 1 y) (* y (- 1 x)))
1.0ms	x	@	-inf	(/ y (- 1 (* x x)))
1.0ms	y	@	0	(* (/ 1 (/ y (- 1 (* x x)))) (/ y (+ x 1)))
1.0ms	y	@	inf	(/ y (- 1 (* x x)))
1.0ms	x	@	-inf	(* (/ 1 (pow x -1/2)) y)

rewrite1.1s (8.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4240×	`/-lowering-/.f32`
4240×	`/-lowering-/.f64`
4194×	`accelerator-lowering-fma.f32`
4194×	`accelerator-lowering-fma.f64`
3402×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	90
1	162	70
2	1228	70
0	9069	69

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1294

Calls

Call 1

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

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

simplify1.2s (9.1%)

Algorithm

1×	egg-herbie

Rules

17072×	`accelerator-lowering-fma.f32`
17072×	`accelerator-lowering-fma.f64`
4358×	`-lowering-.f32`
4358×	`-lowering-.f64`
2430×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	1714
1	410	1677
2	1002	1659
3	3381	1646
0	8220	1615

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

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

eval481.0ms (3.7%)

Compiler: Compiled 29671 to 17246 computations (41.9% saved)

prune409.0ms (3.2%)

Pruning

36 alts after pruning (32 fresh and 4 done)

	Pruned	Kept	Total
New	1595	23	1618
Fresh	6	9	15
Picked	4	1	5
Done	0	3	3
Total	1605	36	1641

Accuracy

100.0%

Counts

1641 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) (/.f64 (+.f64 #s(literal 1 binary64) x) y))
	35.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) x))
	8.9%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (*.f64 x x))
	57.4%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y)
	15.3%	(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) x)
	48.9%	(/.f64 y (*.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
	38.9%	(/.f64 y (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y))))
	57.3%	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
	28.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
	38.4%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) (/.f64 y (+.f64 #s(literal -1 binary64) (.f64 x x)))))
✓	68.0%	(-.f64 (*.f64 (sqrt.f64 x) y) x)
✓	58.7%	(-.f64 #s(literal 1 binary64) x)
	66.0%	(+.f64 (/.f64 (*.f64 x y) (sqrt.f64 x)) #s(literal 1 binary64))
	73.0%	(+.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
	66.0%	(+.f64 (*.f64 (/.f64 y (sqrt.f64 x)) x) #s(literal 1 binary64))
✓	73.0%	(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
	35.4%	(.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) y) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
	22.5%	(.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (.f64 (/.f64 (.f64 x x) y) (/.f64 (.f64 x x) y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 x x) y))) (/.f64 y (+.f64 x #s(literal 1 binary64))))
	48.4%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y)
	8.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y x)) x)) x))
	7.6%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (-.f64 y (/.f64 y x)) x))
	7.5%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (.f64 (+.f64 y (/.f64 y (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) x))
	8.8%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 y x))
	35.9%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
	35.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 y (-.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
	35.7%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x)))) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
	34.9%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x)))) y)
	48.3%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) y)
	26.8%	(.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 x y)))
	15.3%	(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 x x) #s(literal 1 binary64)))
	8.8%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
	61.0%	(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x))) x)
	42.2%	(*.f64 (sqrt.f64 x) y)
	61.0%	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))
	28.1%	(neg.f64 x)
✓	32.1%	#s(literal 1 binary64)

Compiler

Compiled 1519 to 889 computations (41.5% saved)

regimes69.0ms (0.5%)

Counts

73 → 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 (-.f64 #s(literal 1 binary64) x) y) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) x)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y)
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 x x) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
(/.f64 y (*.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) 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 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) y)
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x)))) y)
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 y x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) (/.f64 (+.f64 #s(literal 1 binary64) x) y))
(/.f64 y (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x)))) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 y (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) (/.f64 y (+.f64 #s(literal -1 binary64) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 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 x #s(literal 1 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (-.f64 y (/.f64 y x)) x))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 y (-.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y x)) x)) x))
(.f64 (/.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) x) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (.f64 (+.f64 y (/.f64 y (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) x))
(.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) y) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (.f64 (/.f64 (.f64 x x) y) (/.f64 (.f64 x x) y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 x x) y))) (/.f64 y (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.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 #s(literal 1 binary64)))) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 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 (+.f64 x #s(literal 1 binary64))) (.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 x #s(literal 1 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))))
(/.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 (.f64 x (.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 (sqrt.f64 x) y)
(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(+.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x))) x)
(+.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 1 binary64))
(+.f64 (*.f64 (/.f64 y (sqrt.f64 x)) x) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(+.f64 (/.f64 (*.f64 x y) (sqrt.f64 x)) #s(literal 1 binary64))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) y) #s(literal 1 binary64))
(+.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) y) #s(literal 1 binary64))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (pow.f64 (.f64 x x) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y x))) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))))
(/.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 y (.f64 y x))) (-.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (sqrt.f64 x)))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 y y)))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x (.f64 y y)))) (-.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (sqrt.f64 x)))))
(+.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64)) y) #s(literal 1 binary64))
(+.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) y) #s(literal 1 binary64))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 1/8 binary64))) y) #s(literal 1 binary64))
(+.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
(/.f64 (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 y (.f64 y x)) #s(literal 3/2 binary64))) (+.f64 (.f64 y (.f64 y x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (sqrt.f64 x)))))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))))
(.f64 (+.f64 (.f64 y (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))))))

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

Calls

3 calls:

23.0ms	x
21.0ms	y
20.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes61.0ms (0.5%)

Counts

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

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

Calls

2 calls:

34.0ms	y
23.0ms	x

Results

Accuracy	Segments	Branch
99.3%	2	`x`
97.1%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes29.0ms (0.2%)

Counts

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

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

Calls

1 calls:

22.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes26.0ms (0.2%)

Counts

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

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

Calls

1 calls:

22.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes72.0ms (0.6%)

Counts

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

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

Calls

2 calls:

38.0ms	x
29.0ms	y

Results

Accuracy	Segments	Branch
96.3%	3	`y`
86.4%	6	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes43.0ms (0.3%)

Counts

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

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

Calls

1 calls:

39.0ms

Results

Accuracy	Segments	Branch
93.5%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes49.0ms (0.4%)

Counts

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

Outputs

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

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

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

Calls

2 calls:

34.0ms	y
12.0ms	x

Results

Accuracy	Segments	Branch
58.7%	1	`x`
64.4%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes87.0ms (0.7%)

Counts

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

Outputs

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

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

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

Calls

1 calls:

85.0ms

Results

Accuracy	Segments	Branch
64.4%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
60.5%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts

11 → 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 (-.f64 #s(literal 1 binary64) x) y) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) x)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y)
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 x x) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (-.f64 #s(literal 1 binary64) x)))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
60.3%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

8 → 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 (-.f64 #s(literal 1 binary64) x) y) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) x)

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
58.7%	1	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

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:

4.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
58.2%	2	`x`
38.6%	4	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (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:

0.0ms	y
0.0ms	x

Results

Accuracy	Segments	Branch
32.1%	1	`y`
32.1%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	190.25544524540726	307857.099536779

Results

8.0ms

128×

valid

Compiler

Compiled 183 to 139 computations (24% saved)

Precisions

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

ival-sub: 2.0ms (42.9% of total)

ival-add: 1.0ms (21.5% of total)

ival-mult: 1.0ms (21.5% of total)

ival-sqrt: 1.0ms (21.5% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.00021102245463360832	190.25544524540726

Results

8.0ms

144×

valid

Compiler

Compiled 186 to 137 computations (26.3% saved)

Precisions

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

ival-sub: 1.0ms (25.5% of total)

ival-add: 1.0ms (25.5% of total)

ival-mult: 1.0ms (25.5% of total)

ival-sqrt: 1.0ms (25.5% 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
12.0ms	0.00021102245463360832	190.25544524540726

Results

8.0ms

144×

valid

Compiler

Compiled 177 to 128 computations (27.7% saved)

Precisions

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

ival-sub: 1.0ms (25.8% of total)

ival-add: 1.0ms (25.8% of total)

ival-mult: 1.0ms (25.8% of total)

ival-sqrt: 1.0ms (25.8% of total)

const: 0.0ms (0% of total)

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

bsearch29.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.103817127757562e+87	6.069340514211368e+88
14.0ms	-1.1721678848105354e+37	-3.1299876837113114e+30

Results

14.0ms

256×

valid

Compiler

Compiled 255 to 203 computations (20.4% saved)

Precisions

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

ival-sub: 2.0ms (28.4% of total)

ival-mult: 2.0ms (28.4% of total)

ival-sqrt: 2.0ms (28.4% of total)

ival-add: 1.0ms (14.2% 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
10.0ms	2.103817127757562e+87	6.069340514211368e+88
8.0ms	-1.8114085985232088e+80	-3.218014937225629e+79

Results

11.0ms

208×

valid

Compiler

Compiled 184 to 141 computations (23.4% saved)

Precisions

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

ival-mult: 2.0ms (34.4% of total)

ival-sqrt: 2.0ms (34.4% of total)

ival-sub: 1.0ms (17.2% of total)

ival-add: 1.0ms (17.2% of total)

const: 0.0ms (0% of total)

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

bsearch37.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.103817127757562e+87	6.069340514211368e+88
17.0ms	-2.185928871371822e+116	-4.10487959506158e+110

Results

18.0ms

256×

valid

Compiler

Compiled 387 to 284 computations (26.6% saved)

Precisions

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

ival-sub: 2.0ms (27.7% of total)

ival-mult: 2.0ms (27.7% of total)

ival-sqrt: 2.0ms (27.7% of total)

ival-add: 1.0ms (13.8% of total)

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.103817127757562e+87	6.069340514211368e+88
12.0ms	-2.185928871371822e+116	-4.10487959506158e+110

Results

17.0ms

256×

valid

Compiler

Compiled 345 to 263 computations (23.8% saved)

Precisions

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

ival-sub: 2.0ms (28% of total)

ival-mult: 2.0ms (28% of total)

ival-sqrt: 2.0ms (28% of total)

ival-add: 1.0ms (14% of total)

const: 0.0ms (0% of total)

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

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-2.185928871371822e+116	-4.10487959506158e+110

Results

9.0ms

144×

valid

Compiler

Compiled 177 to 137 computations (22.6% saved)

Precisions

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

ival-sub: 2.0ms (36.6% of total)

ival-add: 1.0ms (18.3% of total)

ival-mult: 1.0ms (18.3% of total)

ival-sqrt: 1.0ms (18.3% of total)

const: 0.0ms (0% of total)

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

bsearch6.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	-1.0493146342534537e+146	-7.066677194861024e+145

Results

3.0ms

64×

valid

Compiler

Compiled 79 to 59 computations (25.3% saved)

Precisions

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

ival-sqrt: 1.0ms (56.8% of total)

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

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

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

const: 0.0ms (0% of total)

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

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	398991553.5552686	4178826479.547466

Results

5.0ms

96×

valid

Compiler

Compiled 69 to 59 computations (14.5% saved)

Precisions

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

ival-sub: 1.0ms (38.3% of total)

ival-mult: 1.0ms (38.3% of total)

ival-sqrt: 1.0ms (38.3% of total)

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

const: 0.0ms (0% of total)

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

soundness3.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 221 to 130 computations (41.2% saved)

preprocess79.0ms (0.6%)

Compiler: Compiled 462 to 274 computations (40.7% saved)

analyze13.0ms (0.1%)

sample920.0ms (7.1%)

preprocess59.0ms (0.5%)

explain76.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize73.0ms (0.6%)

series9.0ms (0.1%)

rewrite640.0ms (4.9%)

simplify404.0ms (3.1%)

eval63.0ms (0.5%)

prune47.0ms (0.4%)

localize965.0ms (7.4%)

series217.0ms (1.7%)

rewrite1.1s (8.4%)

simplify717.0ms (5.5%)

eval286.0ms (2.2%)

prune265.0ms (2%)

localize696.0ms (5.4%)

series30.0ms (0.2%)

rewrite650.0ms (5%)

simplify775.0ms (6%)

eval237.0ms (1.8%)

prune171.0ms (1.3%)

localize631.0ms (4.9%)

series37.0ms (0.3%)

rewrite1.1s (8.4%)

simplify1.2s (9.1%)

eval481.0ms (3.7%)

prune409.0ms (3.2%)

regimes69.0ms (0.5%)

regimes61.0ms (0.5%)

regimes29.0ms (0.2%)

regimes26.0ms (0.2%)

regimes72.0ms (0.6%)

regimes43.0ms (0.3%)

regimes49.0ms (0.4%)

regimes87.0ms (0.7%)

regimes14.0ms (0.1%)

regimes5.0ms (0%)

regimes3.0ms (0%)

regimes7.0ms (0.1%)

regimes1.0ms (0%)

bsearch13.0ms (0.1%)

bsearch16.0ms (0.1%)

bsearch14.0ms (0.1%)

bsearch29.0ms (0.2%)

bsearch20.0ms (0.2%)

bsearch37.0ms (0.3%)

bsearch28.0ms (0.2%)

bsearch15.0ms (0.1%)

bsearch6.0ms (0%)

bsearch10.0ms (0.1%)

soundness3.0ms (0%)

preprocess79.0ms (0.6%)

end0.0ms (0%)

Profiling