Metrics for 2isqrt (example 3.6)

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 19 to 12 computations (36.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

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

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

const: 0.0ms (0% of total)

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

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

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

sample2.1s (19.3%)

Results

1.3s	7035×	1	valid
342.0ms	894×	2	valid
27.0ms	327×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-sqrt: 381.0ms (28.3% of total)

ival-div: 316.0ms (23.5% of total)

backward-pass: 274.0ms (20.3% of total)

ival-add: 120.0ms (8.9% of total)

ival->: 94.0ms (7% of total)

ival-sub: 89.0ms (6.6% of total)

ival-<: 31.0ms (2.3% of total)

ival-and: 22.0ms (1.6% of total)

const: 20.0ms (1.5% of total)

Bogosity

preprocess36.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

112×	`accelerator-lowering-fma.f32`
112×	`accelerator-lowering-fma.f64`
86×	`sub-neg`
80×	`-lowering-.f32`
80×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	38
1	29	36
2	62	35
3	111	35
4	175	35
5	260	35
6	334	35
7	386	35
8	448	35
9	477	35
10	497	35
11	499	35
0	8	11
1	13	11
2	21	11
3	30	11
4	42	11
5	62	11
6	101	11
7	132	11
8	188	11
9	217	11
10	238	11
11	240	11
0	240	11

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

Inputs
(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
(- (/ 1 (sqrt (neg x))) (/ 1 (sqrt (+ (neg x) 1))))
(neg (- (/ 1 (sqrt (neg x))) (/ 1 (sqrt (+ (neg x) 1)))))

Outputs
(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
(+ (/ 1 (sqrt x)) (/ -1 (sqrt (+ 1 x))))
(- (/ 1 (sqrt (neg x))) (/ 1 (sqrt (+ (neg x) 1))))
(+ (/ 1 (sqrt (neg x))) (/ -1 (sqrt (- 1 x))))
(neg (- (/ 1 (sqrt (neg x))) (/ 1 (sqrt (+ (neg x) 1)))))
(+ (/ 1 (sqrt (- 1 x))) (/ -1 (sqrt (neg x))))

explain153.0ms (1.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
178	-	-	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
0	-	-	`x`
0	-	-	`(sqrt.f64 (+.f64 x #s(literal 1 binary64)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(/.f64 #s(literal 1 binary64) (sqrt.f64 x))`
0	-	-	`(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))`
0	-	-	`(sqrt.f64 x)`
0	-	-	`(+.f64 x #s(literal 1 binary64))`

Results

91.0ms	432×	1	valid
17.0ms	62×	2	valid
1.0ms	18×	0	valid

Compiler

Compiled 80 to 26 computations (67.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-sqrt: 19.0ms (31.3% of total)

ival-div: 16.0ms (26.4% of total)

backward-pass: 14.0ms (23.1% of total)

ival-add: 6.0ms (9.9% of total)

ival-sub: 5.0ms (8.2% of total)

const: 1.0ms (1.6% of total)

eval0.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.1%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize146.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	#s(literal 1 binary64)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓	accuracy	39.2%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Rules

112×	`accelerator-lowering-fma.f32`
112×	`accelerator-lowering-fma.f64`
80×	`-lowering-.f32`
80×	`-lowering-.f64`
52×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	13	32
2	21	32
3	30	32
4	42	32
5	62	32
6	101	32
7	132	32
8	188	32
9	217	32
10	238	32
11	240	32
0	240	32

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

57.0ms	216×	1	valid
15.0ms	31×	2	valid
1.0ms	9×	0	valid

Compiler

Compiled 34 to 9 computations (73.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-div: 14.0ms (39.2% of total)

ival-sqrt: 9.0ms (25.2% of total)

backward-pass: 7.0ms (19.6% of total)

ival-sub: 3.0ms (8.4% of total)

ival-add: 3.0ms (8.4% of total)

const: 1.0ms (2.8% of total)

series9.0ms (0.1%)

Counts

5 → 48

Calls

Call 1

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

Outputs
#<alt (sqrt (/ 1 x))>
#<alt (/ (+ (sqrt x) (* -1 x)) x)>
#<alt (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)>
#<alt (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))>
#<alt (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))>
#<alt (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))>
#<alt (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 3/8 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))>
#<alt (sqrt (/ 1 x))>
#<alt (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 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) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>

Calls

12 calls:

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

rewrite314.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4400×	`accelerator-lowering-fma.f32`
4400×	`accelerator-lowering-fma.f64`
3040×	`-lowering-.f32`
3040×	`-lowering-.f64`
2738×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	60	20
2	558	20
3	6710	20
0	8104	20

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 239

Calls

Call 1

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

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

simplify681.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

23172×	`accelerator-lowering-fma.f32`
23172×	`accelerator-lowering-fma.f64`
4828×	`-lowering-.f32`
4828×	`-lowering-.f64`
3424×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	529
1	303	480
2	927	455
3	3323	445
0	8139	416

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(sqrt (/ 1 x))
(/ (+ (sqrt x) (* -1 x)) x)
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 3/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Outputs
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ (+ (sqrt x) (* -1 x)) x)
(+.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1 binary64))
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)
(/.f64 (+.f64 (sqrt.f64 x) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))))) x)
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)
(/.f64 (+.f64 (sqrt.f64 x) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -3/8 binary64))))))) x)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 x x))
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 x x))
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))
(/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 x x))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))))
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64)))) (sqrt.f64 x)) (.f64 x (.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x 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))
(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))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(+ 1 (* x (- (* 3/8 x) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 3/8 binary64)))))
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 x #s(literal -5/16 binary64)))))))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal -1/2 binary64)))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))
(+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/2 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/2 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/4 binary64)))) (.f64 x (.f64 x x))))) (/.f64 (.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (.f64 x (*.f64 x 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)

eval33.0ms (0.3%)

Compiler: Compiled 7030 to 732 computations (89.6% saved)

prune48.0ms (0.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	278	11	289
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	279	11	290

Accuracy

81.3%

Counts

290 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.2%	(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
▶	39.3%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
▶	79.3%	(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 x x))
	41.2%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))
	39.2%	(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
▶	29.4%	(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	26.8%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
	29.7%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	41.2%	(.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
	61.6%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
▶	5.5%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 322 to 198 computations (38.5% saved)

localize726.0ms (6.7%)

Algorithm

1×	egg-herbie

Localize:

Found 38 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(literal 1 binary64)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
✓	cost-diff	0	#s(literal 1 binary64)
✓	cost-diff	0	#s(literal -1/2 binary64)
✓	cost-diff	0	x
✓	cost-diff	0	(pow.f64 x #s(literal -1/2 binary64))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	#s(literal 1 binary64)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	x
✓	cost-diff	0	#s(literal 1 binary64)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	#s(literal 1/2 binary64)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
✓	cost-diff	0	(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 x x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓	accuracy	83.0%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
✓	accuracy	57.2%	(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
✓	accuracy	39.2%	(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.9%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.9%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.9%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	81.1%	(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 x x))

Rules

5664×	`accelerator-lowering-fma.f32`
5664×	`accelerator-lowering-fma.f64`
1908×	`-lowering-.f32`
1908×	`-lowering-.f64`
1416×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	135
1	43	135
2	76	135
3	123	135
4	228	135
5	422	135
6	737	135
7	1141	135
8	1821	135
9	2968	135
10	3492	135
11	3834	135
12	4046	135
13	4166	135
14	4240	135
15	4291	135
16	4360	135
17	4586	135
18	5139	135
19	5937	135
20	6459	135
21	7156	135
22	7418	135
23	7833	135
0	8032	135

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

224.0ms	189×	2	valid
48.0ms	67×	1	valid

Compiler

Compiled 168 to 26 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 180.0ms

ival-pow: 52.0ms (28.8% of total)

backward-pass: 38.0ms (21.1% of total)

ival-div: 32.0ms (17.7% of total)

ival-sqrt: 19.0ms (10.5% of total)

ival-add: 18.0ms (10% of total)

ival-sub: 10.0ms (5.5% of total)

ival-mult: 10.0ms (5.5% of total)

const: 2.0ms (1.1% of total)

series81.0ms (0.7%)

Counts

21 → 216

Calls

Call 1

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

Outputs
#<alt (* -1/2 (sqrt (/ 1 (pow x 5))))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) 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))>
#<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 (sqrt (/ 1 x)))>
#<alt (/ (- (sqrt (pow x 3)) (sqrt x)) x)>
#<alt (/ (- (sqrt (pow x 3)) (sqrt x)) x)>
#<alt (/ (- (sqrt (pow x 3)) (sqrt x)) x)>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<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 (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))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ 1 x))>
#<alt (/ (+ (sqrt x) (* -1 x)) x)>
#<alt (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)>
#<alt (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))>
#<alt (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))>
#<alt (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/2 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (* (sqrt x) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) x)) (* -1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 3/8 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))>
#<alt (sqrt (/ 1 x))>
#<alt (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 x)) x)>
#<alt (/ (+ 1 (* x (- x 1))) x)>
#<alt (/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) x)>
#<alt (/ 1 (pow x 2))>
#<alt (/ (- 1 (/ 1 x)) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (- 1 (/ 1 x)) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) (pow x 2))>
#<alt (sqrt (/ 1 x))>
#<alt (+ (sqrt (/ 1 x)) (* x (- (* -1 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (+ (sqrt (/ 1 x)) (* x (- (+ (* -1 (sqrt (/ 1 x))) (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 x))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))))) (/ 1 x))))>
#<alt (+ (sqrt (/ 1 x)) (* x (- (+ (* -1 (sqrt (/ 1 x))) (* x (- (+ (sqrt (/ 1 x)) (+ (* 1/2 (/ 1 x)) (* x (- (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))) (+ (* 3/8 (/ 1 x)) (* (sqrt (/ 1 x)) (- (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 x))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x))))))))))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))))) (/ 1 x))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))>
#<alt (/ (- (+ (* -1/2 (sqrt (/ 1 x))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (* -1/8 (sqrt (/ 1 x)))) (pow x 2))>
#<alt (/ (- (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/4 (sqrt (/ 1 (pow x 3)))))) (pow x 2))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (sqrt x)) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (sqrt x)) (* -1/4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))>
#<alt (sqrt (/ 1 x))>
#<alt (/ (+ x (sqrt x)) x)>
#<alt (/ (+ (sqrt x) (* x (+ 1 (* -1/2 x)))) x)>
#<alt (/ (+ (sqrt x) (* x (+ 1 (* x (- (* 3/8 x) 1/2))))) x)>
#<alt (* 2 (sqrt (/ 1 x)))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 2 (sqrt (/ 1 x)))))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 2 (sqrt (/ 1 x))))))>
#<alt (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* -1/2 (sqrt (/ 1 x)))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)>
#<alt (* 1/2 (sqrt x))>
#<alt (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))>
#<alt (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))>
#<alt (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))>
#<alt (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt 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))>
#<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))>

Calls

54 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/ (+ (/ 1 x) (/ -1 (+ 1 x))) (+ (pow x -1/2) (pow (+ 1 x) -1/2)))
1.0ms	x	@	0	(/ (+ (/ 1 x) (/ -1 (+ 1 x))) (+ (pow x -1/2) (pow (+ 1 x) -1/2)))
1.0ms	x	@	-inf	(+ x 1)
1.0ms	x	@	-inf	(sqrt (+ x 1))
1.0ms	x	@	0	(/ (* 1/2 (- (sqrt x) (sqrt (/ 1 x)))) (* x x))

rewrite442.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

5414×	`accelerator-lowering-fma.f32`
5414×	`accelerator-lowering-fma.f64`
5102×	`/-lowering-/.f32`
5102×	`/-lowering-/.f64`
4802×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	113
1	181	96
2	1798	93
0	8850	93

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 1147

Calls

Call 1

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

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

simplify710.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

18686×	`accelerator-lowering-fma.f32`
18686×	`accelerator-lowering-fma.f64`
5264×	`+-lowering-+.f64`
5264×	`+-lowering-+.f32`
3992×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	308	2273
1	897	2039
2	2815	1941
0	8450	1852

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
(* -1/2 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) 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))
(* (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)))
(/ (- (sqrt (pow x 3)) (sqrt x)) x)
(/ (- (sqrt (pow x 3)) (sqrt x)) x)
(/ (- (sqrt (pow x 3)) (sqrt x)) x)
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 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))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
0
0
0
0
0
0
0
0
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt (/ 1 x))
(/ (+ (sqrt x) (* -1 x)) x)
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))
(/ (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/2 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (* (sqrt x) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) x)) (* -1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (pow x 2))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 3/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 1 x)
(/ (+ 1 (* -1 x)) x)
(/ (+ 1 (* x (- x 1))) x)
(/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) x)
(/ 1 (pow x 2))
(/ (- 1 (/ 1 x)) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) (pow x 2))
(/ 1 (pow x 2))
(/ (- 1 (/ 1 x)) (pow x 2))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) (pow x 2))
(/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) (pow x 2))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* x (- (* -1 (sqrt (/ 1 x))) (/ 1 x))))
(+ (sqrt (/ 1 x)) (* x (- (+ (* -1 (sqrt (/ 1 x))) (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 x))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))))) (/ 1 x))))
(+ (sqrt (/ 1 x)) (* x (- (+ (* -1 (sqrt (/ 1 x))) (* x (- (+ (sqrt (/ 1 x)) (+ (* 1/2 (/ 1 x)) (* x (- (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))) (+ (* 3/8 (/ 1 x)) (* (sqrt (/ 1 x)) (- (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 x))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x))))))))))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))))) (/ 1 x))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))
(/ (- (+ (* -1/2 (sqrt (/ 1 x))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (* -1/8 (sqrt (/ 1 x)))) (pow x 2))
(/ (- (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/4 (sqrt (/ 1 (pow x 3)))))) (pow x 2))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (sqrt x)) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (sqrt x)) (* -1/4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))
(sqrt (/ 1 x))
(/ (+ x (sqrt x)) x)
(/ (+ (sqrt x) (* x (+ 1 (* -1/2 x)))) x)
(/ (+ (sqrt x) (* x (+ 1 (* x (- (* 3/8 x) 1/2))))) x)
(* 2 (sqrt (/ 1 x)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 2 (sqrt (/ 1 x)))))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 2 (sqrt (/ 1 x))))))
(* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* -1/2 (sqrt (/ 1 x)))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(* 1/2 (sqrt x))
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
x
x
x
x
x
x
x
x
x
x
x
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))
(* (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))

Outputs
(* -1/2 (sqrt (/ 1 (pow x 5))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))) x)
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) 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 (sqrt (/ 1 x)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (- (sqrt (pow x 3)) (sqrt x)) x)
(/.f64 (-.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 x)) x)
(/ (- (sqrt (pow x 3)) (sqrt x)) x)
(/.f64 (-.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 x)) x)
(/ (- (sqrt (pow x 3)) (sqrt x)) x)
(/.f64 (-.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 x)) x)
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))
(.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))
(.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))
(.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (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)
(/ 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)
(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))
(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))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ (+ (sqrt x) (* -1 x)) x)
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(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))))
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64)))))) (.f64 x (.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* -1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))))) x)
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))))) x)
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))))) x)
(* 1/2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
x
x
x
x
x
x
x
x
x
x
x
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)))

eval341.0ms (3.1%)

Compiler: Compiled 47320 to 4872 computations (89.7% saved)

prune755.0ms (6.9%)

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	2298	22	2320
Fresh	3	3	6
Picked	3	2	5
Done	0	0	0
Total	2304	27	2331

Accuracy

100.0%

Counts

2331 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.5%	(pow.f64 x #s(literal -1/2 binary64))
	41.2%	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) x) (+.f64 x #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
	82.1%	(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x) x) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
	41.2%	(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
	46.6%	(/.f64 (/.f64 (.f64 (.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x))) #s(literal 1/2 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x))
▶	79.0%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
✓	39.3%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
	39.3%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 (sqrt.f64 x) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
	38.5%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
	97.6%	(/.f64 (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) x)) x)
	79.1%	(/.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 x x))
	79.2%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 x (/.f64 #s(literal 1 binary64) x))))) (.f64 x x))
	46.5%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)))))) (*.f64 x x))
▶	97.9%	(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))) x)
	5.5%	(/.f64 (sqrt.f64 x) x)
▶	79.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x))))
	95.8%	(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) x))))
	5.5%	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
	39.2%	(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
✓	29.4%	(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	97.6%	(*.f64 (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) x) (/.f64 #s(literal 1/2 binary64) x))
	80.9%	(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)))
	41.2%	(.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
	79.2%	(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))
	5.5%	(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x))
▶	61.6%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
▶	36.3%	#s(literal 0 binary64)

Compiler

Compiled 783 to 492 computations (37.2% saved)

localize573.0ms (5.3%)

Algorithm

1×	egg-herbie

Localize:

Found 33 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	#s(literal 1 binary64)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
✓	cost-diff	0	(/.f64 (*.f64 x x) #s(literal 1/2 binary64))
✓	cost-diff	0	#s(literal 1 binary64)
✓	cost-diff	192	(/.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)))
✓	cost-diff	320	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
✓	cost-diff	0	#s(literal 1/2 binary64)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
✓	cost-diff	0	#s(literal 0 binary64)
✓	cost-diff	0	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
✓	cost-diff	0	#s(literal 1/2 binary64)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
✓	cost-diff	0	(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓	accuracy	98.5%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	83.0%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.2%	(/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x))
✓	accuracy	98.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x))))
✓	accuracy	82.9%	(/.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
✓	accuracy	64.9%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
✓	accuracy	99.9%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.8%	(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))) x)
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
✓	accuracy	64.9%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))

Rules

10672×	`accelerator-lowering-fma.f32`
10672×	`accelerator-lowering-fma.f64`
4082×	`-lowering-.f32`
4082×	`-lowering-.f64`
2242×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	159
1	53	159
2	103	157
3	234	157
4	611	155
5	1279	152
6	3267	150
7	5214	150
8	7508	150
0	8335	147

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

117.0ms

256×

valid

Compiler

Compiled 212 to 29 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-pow: 39.0ms (47% of total)

ival-div: 16.0ms (19.3% of total)

ival-mult: 16.0ms (19.3% of total)

ival-sqrt: 6.0ms (7.2% of total)

ival-add: 4.0ms (4.8% of total)

ival-sub: 1.0ms (1.2% of total)

const: 1.0ms (1.2% of total)

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

series47.0ms (0.4%)

Counts

20 → 204

Calls

Call 1

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

Outputs
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (* -1/2 (sqrt (/ 1 (pow x 5))))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) 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))>
#<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 (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -2 (sqrt (pow x 5)))>
#<alt (* (pow x 2) (+ (* -2 (sqrt x)) (* -2 (sqrt (pow x 3)))))>
#<alt (* (pow x 2) (+ (* -2 (sqrt x)) (* x (+ (* -2 (sqrt x)) (* -2 (sqrt (pow x 3)))))))>
#<alt (* (pow x 2) (+ (* -2 (sqrt x)) (* x (+ (* -2 (sqrt x)) (* x (+ (* -2 (sqrt x)) (* -2 (sqrt (pow x 3)))))))))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* (pow x 2) (+ (* 2 (sqrt (/ 1 x))) (* 2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* (pow x 2) (+ (* 2 (sqrt (/ 1 x))) (+ (* 2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 (pow x 5)))))))>
#<alt (* (pow x 2) (+ (* 2 (sqrt (/ 1 x))) (+ (* 2 (sqrt (/ 1 (pow x 3)))) (+ (* 2 (sqrt (/ 1 (pow x 5)))) (* 2 (sqrt (/ 1 (pow x 7))))))))>
#<alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))>
#<alt (* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))>
#<alt (* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))>
#<alt (* -1/2 (sqrt (/ 1 (pow x 5))))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x))>
#<alt (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x))>
#<alt (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x))>
#<alt (* -1 (sqrt (/ 1 x)))>
#<alt (/ (+ (sqrt (pow x 3)) (* -1 (sqrt x))) x)>
#<alt (/ (+ (sqrt (pow x 3)) (* -1 (sqrt x))) x)>
#<alt (/ (+ (sqrt (pow x 3)) (* -1 (sqrt x))) x)>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))>
#<alt (sqrt x)>
#<alt (* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x))))))>
#<alt (* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x))))))>
#<alt (* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x))))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (/ (- (sqrt (/ 1 x)) 1) x)>
#<alt (/ (+ (sqrt (/ 1 x)) (* x (- (* x (- (* 1/2 (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3)))))) (/ 1 x)))) x)>
#<alt (/ (+ (sqrt (/ 1 x)) (* x (- (* x (- (+ (* -1 (* x (+ (* 3/8 (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 1/2 (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3)))))))))) (* 1/2 (/ 1 x))) (* -1 (sqrt (/ 1 (pow x 3)))))) (/ 1 x)))) x)>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* 1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))>
#<alt (/ (- (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* -1/8 (sqrt (/ 1 x)))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (+ 1 (* 1/4 x)))) (* -1/32 (sqrt (pow x 5)))) (pow x 4))) (* 1/2 (sqrt x))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/8 (sqrt (/ 1 (pow x 3)))))) (pow x 2))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2))>
#<alt (/ (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt x) (/ (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow x 3))) (* 1/2 (sqrt x))) (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (sqrt (/ 1 x))>
#<alt (/ (+ x (sqrt x)) x)>
#<alt (/ (+ (sqrt x) (* x (+ 1 (* -1/2 x)))) x)>
#<alt (/ (+ (sqrt x) (* x (+ 1 (* x (- (* 3/8 x) 1/2))))) x)>
#<alt (* 2 (sqrt (/ 1 x)))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 2 (sqrt (/ 1 x)))))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 2 (sqrt (/ 1 x))))))>
#<alt (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 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 (pow x 2)>
#<alt (* -1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))>
#<alt (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))>
#<alt (* -1 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (- (sqrt (pow x 3)) (sqrt x)) (pow x 2))>
#<alt (/ (- (sqrt (pow x 3)) (sqrt x)) (pow x 2))>
#<alt (/ (- (sqrt (pow x 3)) (sqrt x)) (pow x 2))>
#<alt (sqrt (/ 1 x))>
#<alt (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3)))))>
#<alt (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3)))))>
#<alt (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3)))))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>

Calls

51 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ (* x x) 1/2)
1.0ms	x	@	-inf	(/ (/ 1 (* x x)) (+ (pow x -1/2) (pow (+ 1 x) -1/2)))
1.0ms	x	@	-inf	(/ 1 (/ (/ (* x x) 1/2) (/ (+ x -1) (sqrt x))))
1.0ms	x	@	0	(sqrt (/ 1 (* x (* x x))))
1.0ms	x	@	-inf	(/ (/ (* x x) 1/2) (/ (+ x -1) (sqrt x)))

rewrite486.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

8442×	`accelerator-lowering-fma.f32`
8442×	`accelerator-lowering-fma.f64`
4234×	`/-lowering-/.f32`
4234×	`/-lowering-/.f64`
4004×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	139
1	174	116
2	1296	111
0	8658	111

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 963

Calls

Call 1

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

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

simplify414.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

10100×	`accelerator-lowering-fma.f32`
10100×	`accelerator-lowering-fma.f64`
4582×	`-lowering-.f32`
4582×	`-lowering-.f64`
2218×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	228	2135
1	644	1938
2	2074	1880
3	5518	1876
0	8202	1831

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(* -1/2 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) 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))
(* (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))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -2 (sqrt (pow x 5)))
(* (pow x 2) (+ (* -2 (sqrt x)) (* -2 (sqrt (pow x 3)))))
(* (pow x 2) (+ (* -2 (sqrt x)) (* x (+ (* -2 (sqrt x)) (* -2 (sqrt (pow x 3)))))))
(* (pow x 2) (+ (* -2 (sqrt x)) (* x (+ (* -2 (sqrt x)) (* x (+ (* -2 (sqrt x)) (* -2 (sqrt (pow x 3)))))))))
(* 2 (sqrt (pow x 3)))
(* (pow x 2) (+ (* 2 (sqrt (/ 1 x))) (* 2 (sqrt (/ 1 (pow x 3))))))
(* (pow x 2) (+ (* 2 (sqrt (/ 1 x))) (+ (* 2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 (pow x 5)))))))
(* (pow x 2) (+ (* 2 (sqrt (/ 1 x))) (+ (* 2 (sqrt (/ 1 (pow x 3)))) (+ (* 2 (sqrt (/ 1 (pow x 5)))) (* 2 (sqrt (/ 1 (pow x 7))))))))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
(* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
(* -1/2 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x))
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x))
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x))
(* -1 (sqrt (/ 1 x)))
(/ (+ (sqrt (pow x 3)) (* -1 (sqrt x))) x)
(/ (+ (sqrt (pow x 3)) (* -1 (sqrt x))) x)
(/ (+ (sqrt (pow x 3)) (* -1 (sqrt x))) x)
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))
(sqrt x)
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x))))))
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x))))))
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x))))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt (/ 1 (pow x 3)))
(/ (- (sqrt (/ 1 x)) 1) x)
(/ (+ (sqrt (/ 1 x)) (* x (- (* x (- (* 1/2 (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3)))))) (/ 1 x)))) x)
(/ (+ (sqrt (/ 1 x)) (* x (- (* x (- (+ (* -1 (* x (+ (* 3/8 (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 1/2 (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3)))))))))) (* 1/2 (/ 1 x))) (* -1 (sqrt (/ 1 (pow x 3)))))) (/ 1 x)))) x)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* 1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))
(/ (- (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* -1/8 (sqrt (/ 1 x)))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (+ 1 (* 1/4 x)))) (* -1/32 (sqrt (pow x 5)))) (pow x 4))) (* 1/2 (sqrt x))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/8 (sqrt (/ 1 (pow x 3)))))) (pow x 2))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2))
(/ (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) (pow x 2))
(/ (- (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt x) (/ (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow x 3))) (* 1/2 (sqrt x))) (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(sqrt (/ 1 x))
(/ (+ x (sqrt x)) x)
(/ (+ (sqrt x) (* x (+ 1 (* -1/2 x)))) x)
(/ (+ (sqrt x) (* x (+ 1 (* x (- (* 3/8 x) 1/2))))) x)
(* 2 (sqrt (/ 1 x)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 2 (sqrt (/ 1 x)))))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 2 (sqrt (/ 1 x))))))
(* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 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)
(pow x 2)
(* -1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(* 1/2 (sqrt (/ 1 x)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(* -1 (sqrt (/ 1 (pow x 3))))
(/ (- (sqrt (pow x 3)) (sqrt x)) (pow x 2))
(/ (- (sqrt (pow x 3)) (sqrt x)) (pow x 2))
(/ (- (sqrt (pow x 3)) (sqrt x)) (pow x 2))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3)))))
(+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3)))))
(+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3)))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))

Outputs
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(* -1/2 (sqrt (/ 1 (pow x 5))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1/2 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)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/2 binary64))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/2 binary64))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/2 binary64))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/2 binary64))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/2 binary64))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/2 binary64))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/2 binary64))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/2 binary64))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/2 binary64))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/2 binary64))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/2 binary64))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/2 binary64))
(* -2 (sqrt (pow x 5)))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))))
(* (pow x 2) (+ (* -2 (sqrt x)) (* -2 (sqrt (pow x 3)))))
(.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x (.f64 x x)))) (.f64 #s(literal -2 binary64) (*.f64 x x)))
(* (pow x 2) (+ (* -2 (sqrt x)) (* x (+ (* -2 (sqrt x)) (* -2 (sqrt (pow x 3)))))))
(.f64 (.f64 x x) (+.f64 (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal -2 binary64))) (.f64 (sqrt.f64 x) (+.f64 #s(literal -2 binary64) (.f64 x #s(literal -2 binary64))))))
(* (pow x 2) (+ (* -2 (sqrt x)) (* x (+ (* -2 (sqrt x)) (* x (+ (* -2 (sqrt x)) (* -2 (sqrt (pow x 3)))))))))
(.f64 (.f64 x x) (+.f64 (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x (.f64 x x)))) (.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 (sqrt.f64 x) (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64))))))
(* 2 (sqrt (pow x 3)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (*.f64 x x))))
(* (pow x 2) (+ (* 2 (sqrt (/ 1 x))) (* 2 (sqrt (/ 1 (pow x 3))))))
(.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* (pow x 2) (+ (* 2 (sqrt (/ 1 x))) (+ (* 2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 (pow x 5)))))))
(.f64 (.f64 x x) (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* (pow x 2) (+ (* 2 (sqrt (/ 1 x))) (+ (* 2 (sqrt (/ 1 (pow x 3)))) (+ (* 2 (sqrt (/ 1 (pow x 5)))) (* 2 (sqrt (/ 1 (pow x 7))))))))
(.f64 x (.f64 x (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (*.f64 x x))))
(* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
(.f64 (.f64 x x) (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))))
(* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
(+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)))))
(* -1/2 (sqrt (/ 1 (pow x 5))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/2 binary64))
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (sqrt (/ 1 x)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (sqrt (pow x 3)) (* -1 (sqrt x))) x)
(/.f64 (-.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 x)) x)
(/ (+ (sqrt (pow x 3)) (* -1 (sqrt x))) x)
(/.f64 (-.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 x)) x)
(/ (+ (sqrt (pow x 3)) (* -1 (sqrt x))) x)
(/.f64 (-.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 x)) x)
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))
(.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))
(.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))
(.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(sqrt x)
(sqrt.f64 x)
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x))))))
(.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x))))))
(.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x))))))
(.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x 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 (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/ (- (sqrt (/ 1 x)) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(/ (+ (sqrt (/ 1 x)) (* x (- (* x (- (* 1/2 (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3)))))) (/ 1 x)))) x)
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)))))) x)
(/ (+ (sqrt (/ 1 x)) (* x (- (* x (- (+ (* -1 (* x (+ (* 3/8 (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 1/2 (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3)))))))))) (* 1/2 (/ 1 x))) (* -1 (sqrt (/ 1 (pow x 3)))))) (/ 1 x)))) x)
(/.f64 (+.f64 (.f64 x (.f64 x (-.f64 (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -3/8 binary64)) (.f64 x (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)))))))) (+.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/2 binary64))
(/ (+ (* 1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))
(/.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64))) (*.f64 x x))
(/ (- (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* -1/8 (sqrt (/ 1 x)))) (pow x 2))
(/.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))) (*.f64 x x))
(/ (- (+ (* -1 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (+ 1 (* 1/4 x)))) (* -1/32 (sqrt (pow x 5)))) (pow x 4))) (* 1/2 (sqrt x))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/8 (sqrt (/ 1 (pow x 3)))))) (pow x 2))
(/.f64 (+.f64 (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))) (.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/32 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))))) (*.f64 x x))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/2 binary64))
(/ (+ (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2))
(/.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64))) (*.f64 x x))
(/ (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) (pow x 2))
(/.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 x x))
(/ (- (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt x) (/ (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow x 3))) (* 1/2 (sqrt x))) (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) (pow x 2))
(/.f64 (+.f64 (/.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal -1/32 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -1/8 binary64)))) (.f64 x (.f64 x x))) (+.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64)))) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ (+ x (sqrt x)) x)
(/.f64 (+.f64 x (sqrt.f64 x)) x)
(/ (+ (sqrt x) (* x (+ 1 (* -1/2 x)))) x)
(/.f64 (+.f64 (sqrt.f64 x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) x)
(/ (+ (sqrt x) (* x (+ 1 (* x (- (* 3/8 x) 1/2))))) x)
(/.f64 (+.f64 (sqrt.f64 x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 3/8 binary64))))))) x)
(* 2 (sqrt (/ 1 x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))
(+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/2 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 2 (sqrt (/ 1 x)))))
(+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 2 (sqrt (/ 1 x))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))))
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(+.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) (/.f64 (-.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/4 binary64)))))) (.f64 x (.f64 x x))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1/2 (sqrt (/ 1 (pow x 3))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))))) (*.f64 x x))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))))) (*.f64 x x))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))))) (*.f64 x x))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (sqrt (/ 1 (pow x 3))))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(/ (- (sqrt (pow x 3)) (sqrt x)) (pow x 2))
(/.f64 (-.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 x)) (*.f64 x x))
(/ (- (sqrt (pow x 3)) (sqrt x)) (pow x 2))
(/.f64 (-.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 x)) (*.f64 x x))
(/ (- (sqrt (pow x 3)) (sqrt x)) (pow x 2))
(/.f64 (-.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 x)) (*.f64 x x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3)))))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3)))))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3)))))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x 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)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))

eval209.0ms (1.9%)

Compiler: Compiled 27503 to 3954 computations (85.6% saved)

prune343.0ms (3.2%)

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	1487	16	1503
Fresh	6	14	20
Picked	4	1	5
Done	0	2	2
Total	1497	33	1530

Accuracy

100.0%

Counts

1530 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.5%	(pow.f64 x #s(literal -1/2 binary64))
	41.2%	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) x) (+.f64 x #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
	82.1%	(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x) x) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
	41.2%	(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
✓	39.3%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
	39.3%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 (sqrt.f64 x) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
	38.5%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
▶	98.1%	(/.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) x)) #s(literal 2 binary64))
	97.6%	(/.f64 (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) x)) x)
▶	79.1%	(/.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 x x))
	79.2%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 x (/.f64 #s(literal 1 binary64) x))))) (.f64 x x))
	97.7%	(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
	5.5%	(/.f64 (sqrt.f64 x) x)
	76.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x x) #s(literal 1/2 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (exp.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64))))))
▶	27.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))))))))
	79.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 x)))
	79.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))))
	79.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (+.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
	96.1%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 x #s(literal 1/2 binary64)) (+.f64 x #s(literal -1 binary64))) (/.f64 x (pow.f64 x #s(literal -1/2 binary64)))))
▶	96.1%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) (/.f64 x (+.f64 x #s(literal -1 binary64))))))
	96.1%	(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)))))
	5.5%	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
	96.0%	(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))
	39.2%	(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
✓	29.4%	(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	97.9%	(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))
	97.6%	(*.f64 (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) x) (/.f64 #s(literal 1/2 binary64) x))
	26.7%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (sqrt.f64 x) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))
	41.2%	(.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
	97.7%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x))
	69.3%	(.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -3/2 binary64))))
	97.6%	(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
✓	36.3%	#s(literal 0 binary64)

Compiler

Compiled 931 to 618 computations (33.6% saved)

localize496.0ms (4.6%)

Algorithm

1×	egg-herbie

Localize:

Found 36 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
✓	cost-diff	128	(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
✓	cost-diff	256	(/.f64 (/.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))))))
✓	cost-diff	384	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))))))))
✓	cost-diff	0	#s(literal 1 binary64)
✓	cost-diff	64	(*.f64 (sqrt.f64 x) (/.f64 x (+.f64 x #s(literal -1 binary64))))
✓	cost-diff	64	(.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) (/.f64 x (+.f64 x #s(literal -1 binary64)))))
✓	cost-diff	192	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) (/.f64 x (+.f64 x #s(literal -1 binary64))))))
✓	cost-diff	0	x
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 x x))
✓	cost-diff	0	#s(literal -1/2 binary64)
✓	cost-diff	0	x
✓	cost-diff	0	(pow.f64 x #s(literal -1/2 binary64))
✓	cost-diff	0	x
✓	cost-diff	0	(pow.f64 x #s(literal -3/2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) x))
✓	cost-diff	128	(/.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) x)) #s(literal 2 binary64))
✓	accuracy	84.7%	(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
✓	accuracy	82.9%	(/.f64 (/.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))))))
✓	accuracy	66.7%	(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
✓	accuracy	30.2%	(/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(*.f64 (sqrt.f64 x) (/.f64 x (+.f64 x #s(literal -1 binary64))))
✓	accuracy	99.7%	(.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) (/.f64 x (+.f64 x #s(literal -1 binary64)))))
✓	accuracy	98.0%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) (/.f64 x (+.f64 x #s(literal -1 binary64))))))
✓	accuracy	100.0%	(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	81.1%	(/.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 x x))
✓	accuracy	100.0%	(pow.f64 x #s(literal -1/2 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(pow.f64 x #s(literal -3/2 binary64))
✓	accuracy	100.0%	(/.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) x)) #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) x))

Rules

5910×	`-lowering-.f32`
5910×	`-lowering-.f64`
4242×	`accelerator-lowering-fma.f32`
4242×	`accelerator-lowering-fma.f64`
2838×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	252
1	88	244
2	258	240
3	1064	238
4	7530	229
0	8233	216

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

153.0ms

256×

valid

Compiler

Compiled 290 to 35 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-add: 39.0ms (41.2% of total)

ival-div: 21.0ms (22.2% of total)

ival-pow: 17.0ms (18% of total)

ival-mult: 14.0ms (14.8% of total)

ival-sqrt: 2.0ms (2.1% of total)

const: 1.0ms (1.1% of total)

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

series30.0ms (0.3%)

Counts

20 → 216

Calls

Call 1

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

Outputs
#<alt (* -1 (sqrt (/ 1 (pow x 5))))>
#<alt (/ (+ (sqrt (pow x 3)) (* -1 (sqrt x))) (pow x 3))>
#<alt (/ (+ (sqrt (pow x 3)) (* -1 (sqrt x))) (pow x 3))>
#<alt (/ (+ (sqrt (pow x 3)) (* -1 (sqrt x))) (pow x 3))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (/ (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))) x)>
#<alt (/ (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))) x)>
#<alt (/ (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))) x)>
#<alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))>
#<alt (* -1/2 (sqrt (/ 1 (pow x 5))))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (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 (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<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 (* 1/2 (sqrt x))>
#<alt (* 1/2 (sqrt x))>
#<alt (* 1/2 (sqrt x))>
#<alt (* 1/2 (sqrt x))>
#<alt (* 1/2 (sqrt x))>
#<alt (* 1/2 (sqrt x))>
#<alt (* 1/2 (sqrt x))>
#<alt (* 1/2 (sqrt x))>
#<alt (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (sqrt (/ 1 (pow x 5))))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x))>
#<alt (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x))>
#<alt (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x))>
#<alt (* -2 (sqrt (pow x 5)))>
#<alt (* (pow x 2) (+ (* -2 (sqrt x)) (* -2 (sqrt (pow x 3)))))>
#<alt (* (pow x 2) (+ (* -2 (sqrt x)) (* x (+ (* -2 (sqrt x)) (* -2 (sqrt (pow x 3)))))))>
#<alt (* (pow x 2) (+ (* -2 (sqrt x)) (* x (+ (* -2 (sqrt x)) (* x (+ (* -2 (sqrt x)) (* -2 (sqrt (pow x 3)))))))))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* (pow x 2) (+ (* 2 (sqrt (/ 1 x))) (* 2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* (pow x 2) (+ (* 2 (sqrt (/ 1 x))) (+ (* 2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 (pow x 5)))))))>
#<alt (* (pow x 2) (+ (* 2 (sqrt (/ 1 x))) (+ (* 2 (sqrt (/ 1 (pow x 3)))) (+ (* 2 (sqrt (/ 1 (pow x 5)))) (* 2 (sqrt (/ 1 (pow x 7))))))))>
#<alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))>
#<alt (* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))>
#<alt (* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))>
#<alt (* -1 (sqrt (pow x 3)))>
#<alt (* x (+ (* -1 (sqrt x)) (* -1 (sqrt (pow x 3)))))>
#<alt (* x (+ (* -1 (sqrt x)) (* x (+ (* -1 (sqrt x)) (* -1 (sqrt (pow x 3)))))))>
#<alt (* x (+ (* -1 (sqrt x)) (* x (+ (* -1 (sqrt x)) (* x (+ (* -1 (sqrt x)) (* -1 (sqrt (pow x 3)))))))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 (pow x 5))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (sqrt (/ 1 (pow x 5))) (sqrt (/ 1 (pow x 7)))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (* (pow x 2) (+ 1 x)) 1)>
#<alt (- (* (pow x 2) (+ 1 (* x (+ 1 (* -1 (pow x 2)))))) 1)>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 (pow x 2))) x)>
#<alt (/ (+ 1 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 5))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 (pow x 2)) 1) x))>
#<alt (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (pow x 2)) 1) (pow x 3))) (/ 1 (pow x 2))) 1) x))>
#<alt (* -1 (sqrt (/ 1 x)))>
#<alt (/ (+ (sqrt (pow x 3)) (* -1 (sqrt x))) x)>
#<alt (/ (+ (sqrt (pow x 3)) (* -1 (sqrt x))) x)>
#<alt (/ (+ (sqrt (pow x 3)) (* -1 (sqrt x))) x)>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))>
#<alt (* -2 (sqrt (pow x 5)))>
#<alt (* (pow x 2) (+ (* -2 (sqrt x)) (* -2 (sqrt (pow x 3)))))>
#<alt (* (pow x 2) (+ (* -2 (sqrt x)) (* x (+ (* -2 (sqrt x)) (* -2 (sqrt (pow x 3)))))))>
#<alt (* (pow x 2) (+ (* -2 (sqrt x)) (* x (+ (* -2 (sqrt x)) (* x (+ (* -2 (sqrt x)) (* -2 (sqrt (pow x 3)))))))))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* (pow x 2) (+ (* 2 (sqrt (/ 1 x))) (* 2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* (pow x 2) (+ (* 2 (sqrt (/ 1 x))) (+ (* 2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 (pow x 5)))))))>
#<alt (* (pow x 2) (+ (* 2 (sqrt (/ 1 x))) (+ (* 2 (sqrt (/ 1 (pow x 3)))) (+ (* 2 (sqrt (/ 1 (pow x 5)))) (* 2 (sqrt (/ 1 (pow x 7))))))))>
#<alt (* -2 (sqrt (pow x 3)))>
#<alt (* (pow x 2) (+ (* -2 (sqrt (/ 1 x))) (* -2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* (pow x 2) (+ (* -2 (sqrt (/ 1 x))) (* -1 (/ (+ (* 2 (sqrt (/ 1 x))) (* 2 (sqrt (/ 1 (pow x 3))))) x))))>
#<alt (* (pow x 2) (+ (* -2 (sqrt (/ 1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (sqrt (/ 1 x))) (* -2 (sqrt (/ 1 (pow x 3))))) x)) (* 2 (sqrt (/ 1 x)))) x))))>
#<alt (sqrt (/ 1 x))>
#<alt (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)>
#<alt (/ (+ (sqrt x) (* x (+ (sqrt (pow x 3)) (* -1 (sqrt x))))) x)>
#<alt (/ (+ (sqrt x) (* x (+ (sqrt (pow x 3)) (* -1 (sqrt x))))) x)>
#<alt (sqrt (pow x 3))>
#<alt (* (pow x 2) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))>
#<alt (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* -1 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* -1 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))>
#<alt (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -1/2 (sqrt (/ 1 (pow x 5))))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))>

Calls

54 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* (/ (+ (* x x) -1) (+ 1 (* x (* x x)))) (/ (pow x -1/2) (/ 1 (+ 1 (* x (+ x -1))))))
1.0ms	x	@	inf	(* (/ (+ (* x x) -1) (+ 1 (* x (* x x)))) (/ (pow x -1/2) (/ 1 (+ 1 (* x (+ x -1))))))
1.0ms	x	@	0	(* (/ (+ (* x x) -1) (+ 1 (* x (* x x)))) (/ (pow x -1/2) (/ 1 (+ 1 (* x (+ x -1))))))
1.0ms	x	@	0	(pow x -3/2)
1.0ms	x	@	-inf	(pow x -3/2)

rewrite356.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4170×	`/-lowering-/.f32`
4170×	`/-lowering-/.f64`
3678×	`-lowering-.f32`
3678×	`-lowering-.f64`
2546×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	193
1	220	181
2	1815	136
0	8548	131

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 822

Calls

Call 1

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

Outputs
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -5/2 binary64))))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -5/2 binary64))))
(/.f64 (pow.f64 x #s(literal -3/2 binary64)) (/.f64 x (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -5/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -5/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -3/2 binary64))))
(/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 3/2 binary64))) x)
(/.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (-.f64 #s(literal 1 binary64) x))) x)
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -5/2 binary64)))) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) x))
(.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -5/2 binary64))))
(*.f64 (+.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -5/2 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) x) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) x) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -3/2 binary64)))))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -5/2 binary64))))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (/.f64 (pow.f64 x #s(literal -3/4 binary64)) (/.f64 x (+.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -3/2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) x))
(.f64 (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) x) (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) x))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 5/2 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 5/2 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) #s(literal -2 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 5/2 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 5/2 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) #s(literal 2 binary64))
(/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -5/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 5/2 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -5/2 binary64))) #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 (pow.f64 x #s(literal 5/2 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 5/2 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 (pow.f64 x #s(literal 5/2 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (/.f64 (pow.f64 x #s(literal 5/2 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 5/2 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))
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(.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 x (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)))
(.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal -1 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))
(.f64 (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) x)) x) (/.f64 #s(literal 1/2 binary64) x))
(.f64 (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) x)) (*.f64 x x)) #s(literal 1/2 binary64))
(.f64 (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))) (*.f64 x x)) #s(literal -1/2 binary64))
(.f64 (pow.f64 (/.f64 x (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 x x) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(.f64 (pow.f64 (/.f64 (/.f64 (.f64 x x) #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(.f64 (pow.f64 (/.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal -1 binary64) (.f64 x x))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(.f64 (pow.f64 (/.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))
(.f64 (pow.f64 (/.f64 (.f64 (/.f64 (.f64 x x) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal -1 binary64) (.f64 x x)))) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))

simplify494.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

12044×	`accelerator-lowering-fma.f32`
12044×	`accelerator-lowering-fma.f64`
3578×	`+-lowering-+.f64`
3578×	`+-lowering-+.f32`
3392×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	2294
1	672	2073
2	2211	1991
3	4977	1986
0	8335	1960

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
(* -1 (sqrt (/ 1 (pow x 5))))
(/ (+ (sqrt (pow x 3)) (* -1 (sqrt x))) (pow x 3))
(/ (+ (sqrt (pow x 3)) (* -1 (sqrt x))) (pow x 3))
(/ (+ (sqrt (pow x 3)) (* -1 (sqrt x))) (pow x 3))
(sqrt (/ 1 (pow x 3)))
(/ (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))) x)
(/ (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))) x)
(/ (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))) x)
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))
(* -1/2 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(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))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(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)
(* 1/2 (sqrt x))
(* 1/2 (sqrt x))
(* 1/2 (sqrt x))
(* 1/2 (sqrt x))
(* 1/2 (sqrt x))
(* 1/2 (sqrt x))
(* 1/2 (sqrt x))
(* 1/2 (sqrt x))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/2 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x))
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x))
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x))
(* -2 (sqrt (pow x 5)))
(* (pow x 2) (+ (* -2 (sqrt x)) (* -2 (sqrt (pow x 3)))))
(* (pow x 2) (+ (* -2 (sqrt x)) (* x (+ (* -2 (sqrt x)) (* -2 (sqrt (pow x 3)))))))
(* (pow x 2) (+ (* -2 (sqrt x)) (* x (+ (* -2 (sqrt x)) (* x (+ (* -2 (sqrt x)) (* -2 (sqrt (pow x 3)))))))))
(* 2 (sqrt (pow x 3)))
(* (pow x 2) (+ (* 2 (sqrt (/ 1 x))) (* 2 (sqrt (/ 1 (pow x 3))))))
(* (pow x 2) (+ (* 2 (sqrt (/ 1 x))) (+ (* 2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 (pow x 5)))))))
(* (pow x 2) (+ (* 2 (sqrt (/ 1 x))) (+ (* 2 (sqrt (/ 1 (pow x 3)))) (+ (* 2 (sqrt (/ 1 (pow x 5)))) (* 2 (sqrt (/ 1 (pow x 7))))))))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
(* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
(* -1 (sqrt (pow x 3)))
(* x (+ (* -1 (sqrt x)) (* -1 (sqrt (pow x 3)))))
(* x (+ (* -1 (sqrt x)) (* x (+ (* -1 (sqrt x)) (* -1 (sqrt (pow x 3)))))))
(* x (+ (* -1 (sqrt x)) (* x (+ (* -1 (sqrt x)) (* x (+ (* -1 (sqrt x)) (* -1 (sqrt (pow x 3)))))))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))
(* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 (pow x 5))))))
(* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (sqrt (/ 1 (pow x 5))) (sqrt (/ 1 (pow x 7)))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
-1
(- (pow x 2) 1)
(- (* (pow x 2) (+ 1 x)) 1)
(- (* (pow x 2) (+ 1 (* x (+ 1 (* -1 (pow x 2)))))) 1)
(/ 1 x)
(/ (- 1 (/ 1 (pow x 2))) x)
(/ (+ 1 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))) x)
(/ (- (+ 1 (/ 1 (pow x 5))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) x)
(/ 1 x)
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1) x))
(* -1 (/ (- (+ (* -1 (/ (- (/ 1 (pow x 2)) 1) (pow x 3))) (/ 1 (pow x 2))) 1) x))
(* -1 (sqrt (/ 1 x)))
(/ (+ (sqrt (pow x 3)) (* -1 (sqrt x))) x)
(/ (+ (sqrt (pow x 3)) (* -1 (sqrt x))) x)
(/ (+ (sqrt (pow x 3)) (* -1 (sqrt x))) x)
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(* -2 (sqrt (pow x 5)))
(* (pow x 2) (+ (* -2 (sqrt x)) (* -2 (sqrt (pow x 3)))))
(* (pow x 2) (+ (* -2 (sqrt x)) (* x (+ (* -2 (sqrt x)) (* -2 (sqrt (pow x 3)))))))
(* (pow x 2) (+ (* -2 (sqrt x)) (* x (+ (* -2 (sqrt x)) (* x (+ (* -2 (sqrt x)) (* -2 (sqrt (pow x 3)))))))))
(* 2 (sqrt (pow x 3)))
(* (pow x 2) (+ (* 2 (sqrt (/ 1 x))) (* 2 (sqrt (/ 1 (pow x 3))))))
(* (pow x 2) (+ (* 2 (sqrt (/ 1 x))) (+ (* 2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 (pow x 5)))))))
(* (pow x 2) (+ (* 2 (sqrt (/ 1 x))) (+ (* 2 (sqrt (/ 1 (pow x 3)))) (+ (* 2 (sqrt (/ 1 (pow x 5)))) (* 2 (sqrt (/ 1 (pow x 7))))))))
(* -2 (sqrt (pow x 3)))
(* (pow x 2) (+ (* -2 (sqrt (/ 1 x))) (* -2 (sqrt (/ 1 (pow x 3))))))
(* (pow x 2) (+ (* -2 (sqrt (/ 1 x))) (* -1 (/ (+ (* 2 (sqrt (/ 1 x))) (* 2 (sqrt (/ 1 (pow x 3))))) x))))
(* (pow x 2) (+ (* -2 (sqrt (/ 1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (sqrt (/ 1 x))) (* -2 (sqrt (/ 1 (pow x 3))))) x)) (* 2 (sqrt (/ 1 x)))) x))))
(sqrt (/ 1 x))
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(/ (+ (sqrt x) (* x (+ (sqrt (pow x 3)) (* -1 (sqrt x))))) x)
(/ (+ (sqrt x) (* x (+ (sqrt (pow x 3)) (* -1 (sqrt x))))) x)
(sqrt (pow x 3))
(* (pow x 2) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))
(* (pow x 2) (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* -1 (sqrt (/ 1 (pow x 3)))))))
(* (pow x 2) (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* -1 (sqrt (/ 1 (pow x 3)))))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
x
x
x
x
x
x
x
x
x
x
x
x
(* -1/2 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))

Outputs
(* -1 (sqrt (/ 1 (pow x 5))))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(/ (+ (sqrt (pow x 3)) (* -1 (sqrt x))) (pow x 3))
(/.f64 (-.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 x)) (.f64 x (.f64 x x)))
(/ (+ (sqrt (pow x 3)) (* -1 (sqrt x))) (pow x 3))
(/.f64 (-.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 x)) (.f64 x (.f64 x x)))
(/ (+ (sqrt (pow x 3)) (* -1 (sqrt x))) (pow x 3))
(/.f64 (-.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 x)) (.f64 x (.f64 x x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/ (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) x)
(/ (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) x)
(/ (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) x)
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
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(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))
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(+.f64 #s(literal -1 binary64) (*.f64 x x))
(- (* (pow x 2) (+ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x))))
(- (* (pow x 2) (+ 1 (* x (+ 1 (* -1 (pow x 2)))))) 1)
(+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x)
(/ (+ 1 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) x)
(/ (- (+ 1 (/ 1 (pow x 5))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x)
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) x)
(* -1 (/ (- (+ (* -1 (/ (- (/ 1 (pow x 2)) 1) (pow x 3))) (/ 1 (pow x 2))) 1) x))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))) x)
(* -1 (sqrt (/ 1 x)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (sqrt (pow x 3)) (* -1 (sqrt x))) x)
(/.f64 (-.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 x)) x)
(/ (+ (sqrt (pow x 3)) (* -1 (sqrt x))) x)
(/.f64 (-.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 x)) x)
(/ (+ (sqrt (pow x 3)) (* -1 (sqrt x))) x)
(/.f64 (-.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 x)) x)
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))
(.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))
(.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))
(.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(* (sqrt x) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -2 (sqrt (pow x 5)))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))))
(* (pow x 2) (+ (* -2 (sqrt x)) (* -2 (sqrt (pow x 3)))))
(.f64 (+.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 x)) (.f64 (*.f64 x x) #s(literal -2 binary64)))
(* (pow x 2) (+ (* -2 (sqrt x)) (* x (+ (* -2 (sqrt x)) (* -2 (sqrt (pow x 3)))))))
(.f64 x (.f64 x (.f64 #s(literal -2 binary64) (+.f64 (.f64 x (sqrt.f64 (.f64 x (.f64 x x)))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))))
(* (pow x 2) (+ (* -2 (sqrt x)) (* x (+ (* -2 (sqrt x)) (* x (+ (* -2 (sqrt x)) (* -2 (sqrt (pow x 3)))))))))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal -2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal -2 binary64)))))
(* 2 (sqrt (pow x 3)))
(.f64 (sqrt.f64 (.f64 x (*.f64 x x))) #s(literal 2 binary64))
(* (pow x 2) (+ (* 2 (sqrt (/ 1 x))) (* 2 (sqrt (/ 1 (pow x 3))))))
(.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(* (pow x 2) (+ (* 2 (sqrt (/ 1 x))) (+ (* 2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 (pow x 5)))))))
(.f64 (.f64 x x) (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* (pow x 2) (+ (* 2 (sqrt (/ 1 x))) (+ (* 2 (sqrt (/ 1 (pow x 3)))) (+ (* 2 (sqrt (/ 1 (pow x 5)))) (* 2 (sqrt (/ 1 (pow x 7))))))))
(.f64 (.f64 x x) (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))))
(* -2 (sqrt (pow x 3)))
(.f64 (sqrt.f64 (.f64 x (*.f64 x x))) #s(literal -2 binary64))
(* (pow x 2) (+ (* -2 (sqrt (/ 1 x))) (* -2 (sqrt (/ 1 (pow x 3))))))
(.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 (*.f64 x x) #s(literal -2 binary64)))
(* (pow x 2) (+ (* -2 (sqrt (/ 1 x))) (* -1 (/ (+ (* 2 (sqrt (/ 1 x))) (* 2 (sqrt (/ 1 (pow x 3))))) x))))
(.f64 x (.f64 x (.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)))))
(* (pow x 2) (+ (* -2 (sqrt (/ 1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (sqrt (/ 1 x))) (* -2 (sqrt (/ 1 (pow x 3))))) x)) (* 2 (sqrt (/ 1 x)))) x))))
(+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 x (.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)))))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x (.f64 x x)))) x)
(/ (+ (sqrt x) (* x (+ (sqrt (pow x 3)) (* -1 (sqrt x))))) x)
(/.f64 (+.f64 (.f64 x (sqrt.f64 (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) x)
(/ (+ (sqrt x) (* x (+ (sqrt (pow x 3)) (* -1 (sqrt x))))) x)
(/.f64 (+.f64 (.f64 x (sqrt.f64 (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) x)
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(* (pow x 2) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))
(.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 x x))
(* (pow x 2) (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* -1 (sqrt (/ 1 (pow x 3)))))))
(.f64 x (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))))
(* (pow x 2) (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* -1 (sqrt (/ 1 (pow x 3)))))))
(.f64 x (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 x (.f64 x x))))
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(.f64 (.f64 x x) (-.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(.f64 (.f64 x x) (-.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
x
x
x
x
x
x
x
x
x
x
x
x
(* -1/2 (sqrt (/ 1 (pow x 5))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) #s(literal 1/2 binary64))) (.f64 x (.f64 x x)))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) #s(literal 1/2 binary64))) (.f64 x (.f64 x x)))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) #s(literal 1/2 binary64))) (.f64 x (.f64 x x)))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))) x)
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))) x)
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))) x)

eval274.0ms (2.5%)

Compiler: Compiled 43505 to 4560 computations (89.5% saved)

prune364.0ms (3.3%)

Pruning

35 alts after pruning (30 fresh and 5 done)

	Pruned	Kept	Total
New	1819	13	1832
Fresh	8	17	25
Picked	3	2	5
Done	0	3	3
Total	1830	35	1865

Accuracy

100.0%

Counts

1865 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	5.5%	(pow.f64 x #s(literal -1/2 binary64))
	41.2%	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) x) (+.f64 x #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
	96.0%	(/.f64 (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 3/2 binary64))) x) #s(literal 2 binary64))
	82.1%	(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x) x) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
	97.7%	(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))
	41.2%	(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
	97.6%	(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
✓	39.3%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
	39.3%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 (sqrt.f64 x) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
	38.5%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
	27.1%	(/.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))) (.f64 (/.f64 (.f64 x x) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal -1 binary64) (*.f64 x x)))))
✓	98.1%	(/.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) x)) #s(literal 2 binary64))
	97.6%	(/.f64 (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) x)) x)
	69.4%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -5/2 binary64))) #s(literal -2 binary64))
	91.9%	(/.f64 (.f64 (exp.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) (/.f64 (+.f64 x #s(literal -1 binary64)) x)) #s(literal 2 binary64))
	79.2%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 x (/.f64 #s(literal 1 binary64) x))))) (.f64 x x))
	5.5%	(/.f64 (sqrt.f64 x) x)
	76.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x x) #s(literal 1/2 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (exp.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64))))))
	45.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))))
	68.0%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) x) (+.f64 x #s(literal -1 binary64))))
	96.0%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 x #s(literal -1 binary64))))))
	67.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) x))))
	96.1%	(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)))))
	5.5%	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
	96.0%	(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))
	96.1%	(/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) x))))
	39.2%	(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
✓	29.4%	(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	97.6%	(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
	97.9%	(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))
	26.7%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (sqrt.f64 x) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))
	41.2%	(.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
	79.1%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x))
	97.6%	(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
✓	36.3%	#s(literal 0 binary64)

Compiler

Compiled 1360 to 539 computations (60.4% saved)

regimes40.0ms (0.4%)

Counts

63 → 2

Calls

Call 1

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

Outputs

(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))

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

Calls

2 calls:

16.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
16.0ms	x

Results

Accuracy	Segments	Branch
100.0%	2	`x`
100.0%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes35.0ms (0.3%)

Counts

61 → 2

Calls

Call 1

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

Outputs

(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))

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

Calls

2 calls:

17.0ms	x
13.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
99.9%	2	`x`
99.9%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes42.0ms (0.4%)

Counts

60 → 2

Calls

Call 1

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

Outputs

(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))

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

Calls

2 calls:

23.0ms	x
15.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
99.9%	2	`x`
99.9%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes32.0ms (0.3%)

Counts

59 → 1

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	x
14.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
98.1%	1	`x`
98.1%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes9.0ms (0.1%)

Counts

19 → 1

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
97.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -20.5b remaining (-50.2%)

Threshold costs -20.5b (-50.2%)

Counts

5 → 1

Calls

Call 1

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

Outputs
#s(literal 0 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
36.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	7.146840492458159e-22

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	7.146840492458159e-22

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	7.146840492458159e-22

Compiler

Compiled 16 to 11 computations (31.3% saved)

soundness1.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 140 to 36 computations (74.3% saved)

preprocess60.0ms (0.6%)

Compiler: Compiled 336 to 106 computations (68.5% saved)

Iter	Nodes	Cost
0	16	38
1	29	36
2	62	35
3	111	35
4	175	35
5	260	35
6	334	35
7	386	35
8	448	35
9	477	35
10	497	35
11	499	35
0	8	11
1	13	11
2	21	11
3	30	11
4	42	11
5	62	11
6	101	11
7	132	11
8	188	11
9	217	11
10	238	11
11	240	11
0	240	11

Iter	Nodes	Cost
0	8	32
1	13	32
2	21	32
3	30	32
4	42	32
5	62	32
6	101	32
7	132	32
8	188	32
9	217	32
10	238	32
11	240	32
0	240	32

Iter	Nodes	Cost
0	16	38
1	29	36
2	62	35
3	111	35
4	175	35
5	260	35
6	334	35
7	386	35
8	448	35
9	477	35
10	497	35
11	499	35
0	8	11
1	13	11
2	21	11
3	30	11
4	42	11
5	62	11
6	101	11
7	132	11
8	188	11
9	217	11
10	238	11
11	240	11
0	240	11

Iter	Nodes	Cost
0	8	32
1	13	32
2	21	32
3	30	32
4	42	32
5	62	32
6	101	32
7	132	32
8	188	32
9	217	32
10	238	32
11	240	32
0	240	32

analyze0.0ms (0%)

sample2.1s (19.3%)

preprocess36.0ms (0.3%)

explain153.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize146.0ms (1.3%)

series9.0ms (0.1%)

rewrite314.0ms (2.9%)

simplify681.0ms (6.3%)

eval33.0ms (0.3%)

prune48.0ms (0.4%)

localize726.0ms (6.7%)

series81.0ms (0.7%)

rewrite442.0ms (4.1%)

simplify710.0ms (6.5%)

eval341.0ms (3.1%)

prune755.0ms (6.9%)

localize573.0ms (5.3%)

series47.0ms (0.4%)

rewrite486.0ms (4.5%)

simplify414.0ms (3.8%)

eval209.0ms (1.9%)

prune343.0ms (3.2%)

localize496.0ms (4.6%)

series30.0ms (0.3%)

rewrite356.0ms (3.3%)

simplify494.0ms (4.5%)

eval274.0ms (2.5%)

prune364.0ms (3.3%)

regimes40.0ms (0.4%)

regimes35.0ms (0.3%)

regimes42.0ms (0.4%)

regimes32.0ms (0.3%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

soundness1.0ms (0%)

preprocess60.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	38
1	29	36
2	62	35
3	111	35
4	175	35
5	260	35
6	334	35
7	386	35
8	448	35
9	477	35
10	497	35
11	499	35
0	8	11
1	13	11
2	21	11
3	30	11
4	42	11
5	62	11
6	101	11
7	132	11
8	188	11
9	217	11
10	238	11
11	240	11
0	240	11

Iter	Nodes	Cost
0	8	32
1	13	32
2	21	32
3	30	32
4	42	32
5	62	32
6	101	32
7	132	32
8	188	32
9	217	32
10	238	32
11	240	32
0	240	32