Metrics for Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, B

analyze74.0ms (0.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
66.7%	49.9%	25%	0.1%	0%	25%	0%	7
66.7%	49.9%	25%	0.1%	0%	25%	0%	8
66.7%	49.9%	25%	0.1%	0%	25%	0%	9
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	10
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	11
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	12

Compiler

Compiled 14 to 11 computations (21.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 7.0ms (34.8% of total)

ival-div: 5.0ms (24.8% of total)

ival-sqrt: 4.0ms (19.9% of total)

ival-add: 3.0ms (14.9% of total)

const: 1.0ms (5% of total)

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

sample1.1s (12.9%)

Results

644.0ms	8256×	0	valid
144.0ms	1993×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 411.0ms

ival-mult: 168.0ms (40.9% of total)

ival-sqrt: 90.0ms (21.9% of total)

ival-div: 79.0ms (19.2% of total)

ival-add: 54.0ms (13.1% of total)

const: 16.0ms (3.9% of total)

backward-pass: 4.0ms (1% of total)

Bogosity

preprocess72.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

2584×	`fnmadd-define`
1704×	`sum3-define`
1646×	`fmsub-define`
1538×	`fnmsub-define`
1244×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	86
1	118	72
2	368	72
3	818	72
4	1868	72
5	4169	72
6	6307	72
0	11	8
1	22	7
2	37	7
3	48	7
0	48	7

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(* (/ 1 2) (+ x (* y (sqrt z))))

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

Call 2

Inputs
(* (/ 1 2) (+ x (* y (sqrt z))))
(* (/ 1 2) (+ (neg x) (* y (sqrt z))))
(* (/ 1 2) (+ x (* (neg y) (sqrt z))))
(* (/ 1 2) (+ x (* y (sqrt (neg z)))))
(neg (* (/ 1 2) (+ (neg x) (* y (sqrt z)))))
(neg (* (/ 1 2) (+ x (* (neg y) (sqrt z)))))
(neg (* (/ 1 2) (+ x (* y (sqrt (neg z))))))
(* (/ 1 2) (+ y (* x (sqrt z))))
(* (/ 1 2) (+ z (* y (sqrt x))))
(* (/ 1 2) (+ x (* z (sqrt y))))

Outputs
(* (/ 1 2) (+ x (* y (sqrt z))))
(* 1/2 (fma y (sqrt z) x))
(* (/ 1 2) (+ (neg x) (* y (sqrt z))))
(* 1/2 (fmsub y (sqrt z) x))
(* (/ 1 2) (+ x (* (neg y) (sqrt z))))
(* 1/2 (fnmadd y (sqrt z) x))
(* (/ 1 2) (+ x (* y (sqrt (neg z)))))
(* 1/2 (fma y (sqrt (neg z)) x))
(neg (* (/ 1 2) (+ (neg x) (* y (sqrt z)))))
(* 1/2 (fnmadd y (sqrt z) x))
(neg (* (/ 1 2) (+ x (* (neg y) (sqrt z)))))
(* 1/2 (fmsub y (sqrt z) x))
(neg (* (/ 1 2) (+ x (* y (sqrt (neg z))))))
(* 1/2 (fnmsub y (sqrt (neg z)) x))
(* (/ 1 2) (+ y (* x (sqrt z))))
(* 1/2 (fma x (sqrt z) y))
(* (/ 1 2) (+ z (* y (sqrt x))))
(* 1/2 (fma y (sqrt x) z))
(* (/ 1 2) (+ x (* z (sqrt y))))
(* 1/2 (fma z (sqrt y) x))

explain92.0ms (1.1%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(*.f64 y (sqrt.f64 z))`
-	-	`y`
-	-	`#s(literal 2 binary64)`
-	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
-	-	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
-	-	`(sqrt.f64 z)`
-	-	`z`
-	-	`#s(literal 1 binary64)`
-	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`

Results

60.0ms

512×

valid

Compiler

Compiled 81 to 32 computations (60.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 7.0ms (34.8% of total)

ival-div: 5.0ms (24.8% of total)

ival-sqrt: 4.0ms (19.9% of total)

ival-add: 3.0ms (14.9% of total)

const: 1.0ms (5% of total)

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

eval0.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

prune9.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(sqrt.f64 z)
✓	cost-diff	(*.f64 y (sqrt.f64 z))
✓	cost-diff	(+.f64 x (*.f64 y (sqrt.f64 z)))
✓	cost-diff	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))

Rules

32×	`-lowering-.f32`
32×	`-lowering-.f64`
20×	`fma-lowering-fma.f32`
20×	`fma-define`
20×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	17	22
2	34	22
3	44	22
0	44	22

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* 1/2 (+ x (* y (sqrt z))))
1/2
(+ x (* y (sqrt z)))
x
(* y (sqrt z))
y
(sqrt z)
z

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

localize28.0ms (0.3%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	100.0%	(+.f64 x (*.f64 y (sqrt.f64 z)))
✓	accuracy	99.6%	(*.f64 y (sqrt.f64 z))

Results

19.0ms

256×

valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

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

ival-mult: 4.0ms (53% of total)

ival-sqrt: 2.0ms (26.5% of total)

ival-add: 1.0ms (13.3% of total)

const: 0.0ms (0% of total)

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

series28.0ms (0.3%)

Counts

4 → 108

Calls

Call 1

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

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

Calls

27 calls:

Time	Variable		Point	Expression
21.0ms	y	@	-inf	(* y (sqrt z))
1.0ms	z	@	-inf	(* 1/2 (+ x (* y (sqrt z))))
1.0ms	z	@	inf	(* y (sqrt z))
1.0ms	x	@	0	(* 1/2 (+ x (* y (sqrt z))))
1.0ms	z	@	0	(* 1/2 (+ x (* y (sqrt z))))

rewrite293.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2916×	`-lowering-.f32`
2916×	`-lowering-.f64`
2390×	`/-lowering-/.f32`
2390×	`/-lowering-/.f64`
1382×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	31	18
2	241	18
3	2446	18
0	8390	18

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 213

Calls

Call 1

Inputs
(* 1/2 (+ x (* y (sqrt z))))
(+ x (* y (sqrt z)))
(* y (sqrt z))
(sqrt z)

Outputs
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(+.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x (.f64 y (sqrt.f64 z))))) (/.f64 (.f64 (.f64 y (.f64 y z)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x (*.f64 y (sqrt.f64 z))))))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y z)) #s(literal 1/4 binary64)) (-.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) x))) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))))
(fma.f64 #s(literal 1/2 binary64) x (.f64 y (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(fma.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z)) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 y (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(fma.f64 y (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 z) (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 y (.f64 y z)) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 y (.f64 y z)) #s(literal 1/4 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 y (.f64 y z)) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))) (+.f64 (.f64 (.f64 y (.f64 y z)) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 y (.f64 y z)) #s(literal 1/4 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 y (*.f64 y z)) #s(literal 1/4 binary64)) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x (.f64 y (sqrt.f64 z)))) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 y (*.f64 y z)) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 y (-.f64 (.f64 y z) (.f64 x (sqrt.f64 z))))) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 y (*.f64 y z)) #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) (.f64 y (*.f64 y z))))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 y (.f64 y z)) #s(literal 1/4 binary64))) (.f64 #s(literal 1/2 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 y (.f64 y z)) #s(literal 3/2 binary64)))) (+.f64 (.f64 x x) (.f64 y (-.f64 (.f64 y z) (*.f64 x (sqrt.f64 z))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) (.f64 y (.f64 y z)))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 y (.f64 y z)) #s(literal 1/4 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 y (*.f64 y z)) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x (.f64 y (sqrt.f64 z)))) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 y (*.f64 y z)) #s(literal 1/4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 x x) (.f64 y (-.f64 (.f64 y z) (.f64 x (sqrt.f64 z))))) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 y (*.f64 y z)) #s(literal 3/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) (.f64 y (*.f64 y z)))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 y (.f64 y z)) #s(literal 1/4 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 y (.f64 y z)) #s(literal 1/4 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 y (.f64 y z)) #s(literal 1/4 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 y (.f64 y z)) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 y (.f64 y z)) #s(literal 1/4 binary64)))) (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x (*.f64 y (sqrt.f64 z))))))
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(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 y (sqrt.f64 z)))) (-.f64 (.f64 x x) (.f64 y (*.f64 y z))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 y (sqrt.f64 z)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 y (*.f64 y z)))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 z)) x)))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y z))) (-.f64 (.f64 x x) (.f64 y (.f64 y z)))) (+.f64 x (.f64 y (sqrt.f64 z))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 y (.f64 y z)) #s(literal 3/2 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (pow.f64 (.f64 y (-.f64 (.f64 y z) (.f64 x (sqrt.f64 z)))) #s(literal 3 binary64)))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y (-.f64 (.f64 y z) (.f64 x (sqrt.f64 z)))) (-.f64 (.f64 y (-.f64 (.f64 y z) (.f64 x (sqrt.f64 z)))) (.f64 x x)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 y (.f64 y z)) #s(literal 3/2 binary64))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (.f64 y (-.f64 (.f64 y z) (.f64 x (sqrt.f64 z)))) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 y (-.f64 (.f64 y z) (*.f64 x (sqrt.f64 z))))))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y z))) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 y (.f64 y z)) #s(literal 3/2 binary64)))) (+.f64 (.f64 x x) (.f64 y (+.f64 (.f64 y z) (.f64 x (sqrt.f64 z))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) (.f64 y (-.f64 (.f64 y z) (.f64 x (sqrt.f64 z))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (pow.f64 (.f64 y (.f64 y z)) #s(literal 9/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 y (.f64 y z)) (.f64 (.f64 z z) (.f64 (.f64 y y) (.f64 y y)))) (pow.f64 (.f64 (.f64 x x) (.f64 y (.f64 y z))) #s(literal 3/2 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) (.f64 y (-.f64 (.f64 y z) (.f64 x (sqrt.f64 z))))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y z)) (.f64 (.f64 z z) (.f64 (.f64 y y) (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 y (.f64 y z)) #s(literal 3/2 binary64)))))
(.f64 (pow.f64 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y z)) (.f64 (.f64 z z) (.f64 (.f64 y y) (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y (.f64 y z)) (+.f64 (.f64 x x) (.f64 y (.f64 y z)))))))
(.f64 (pow.f64 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 z z) (.f64 (.f64 y y) (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (*.f64 y z)))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 z))))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 z))) #s(literal 1 binary64)))
(pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 (sqrt.f64 z) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (exp.f64 (log.f64 y)))
(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
(.f64 (.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (pow.f64 z #s(literal 1/4 binary64)) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (sqrt.f64 z))
(.f64 (pow.f64 (.f64 y (pow.f64 z #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 y)) (sqrt.f64 z))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 z)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 z z)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 z) #s(literal 1/4 binary64)) (.f64 (log.f64 z) #s(literal 1/4 binary64))))
(fabs.f64 (sqrt.f64 z))
(sqrt.f64 z)
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 z #s(literal 1/2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 z))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64))))

simplify217.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

3400×	`-lowering-.f32`
3400×	`-lowering-.f64`
1344×	`/-lowering-/.f32`
1344×	`/-lowering-/.f64`
1232×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	622
1	264	578
2	890	578
3	2783	554
4	7937	554
0	8105	554

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval35.0ms (0.4%)

Compiler: Compiled 7912 to 763 computations (90.4% saved)

prune59.0ms (0.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	310	11	321
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	310	12	322

Accuracy

100.0%

Counts

322 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.6%	(/.f64 (.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 y (sqrt.f64 z)) x))
▶	99.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))))
	50.5%	(.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y z))) (/.f64 #s(literal 1/2 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
	52.1%	(.f64 y (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
	43.7%	(.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 (.f64 x x)) (.f64 (.f64 y y) (neg.f64 z))) (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y (sqrt.f64 z))))))
	99.6%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))))
▶	92.9%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z))))
	99.6%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
	72.3%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (pow.f64 (*.f64 z z) #s(literal 1/4 binary64)))))
▶	99.7%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (*.f64 (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64)))))))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	48.9%	(*.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 355 to 250 computations (29.6% saved)

simplify292.0ms (3.4%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 y (.f64 y z))
✓	cost-diff	0	(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
✓	cost-diff	0	(.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 y (sqrt.f64 z)) x))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
✓	cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 y z))
✓	cost-diff	0	(+.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 y z)))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z))))
✓	cost-diff	0	(*.f64 y (sqrt.f64 z))
✓	cost-diff	0	(+.f64 x (*.f64 y (sqrt.f64 z)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
✓	cost-diff	128	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(*.f64 (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64))))
✓	cost-diff	0	(.f64 y (.f64 (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64)))))
✓	cost-diff	0	(+.f64 x (.f64 y (.f64 (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64))))))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (*.f64 (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64)))))))

Rules

2232×	`-lowering-.f32`
2232×	`-lowering-.f64`
1936×	`sum5-define`
1866×	`sum3-define`
1120×	`sum4-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	205
1	80	198
2	172	198
3	355	198
4	575	198
5	909	198
6	1952	198
7	5365	198
0	8136	198

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize223.0ms (2.6%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64))
✓	accuracy	99.6%	(*.f64 y (sqrt.f64 z))
✓	accuracy	95.4%	(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
✓	accuracy	52.2%	(/.f64 (.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 y (sqrt.f64 z)) x))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z))))
✓	accuracy	100.0%	(+.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 y z)))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
✓	accuracy	87.8%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 y z))
✓	accuracy	100.0%	(+.f64 x (*.f64 y (sqrt.f64 z)))
✓	accuracy	99.7%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))))
✓	accuracy	99.6%	(*.f64 y (sqrt.f64 z))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	99.8%	(sqrt.f64 (pow.f64 z #s(literal 1/4 binary64)))
✓	accuracy	99.8%	(sqrt.f64 (pow.f64 z #s(literal 3/4 binary64)))
✓	accuracy	99.6%	(.f64 y (.f64 (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64)))))
✓	accuracy	99.5%	(*.f64 (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64))))

Results

155.0ms

256×

valid

Compiler

Compiled 222 to 34 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-div: 33.0ms (38.6% of total)

ival-mult: 21.0ms (24.5% of total)

ival-pow: 16.0ms (18.7% of total)

ival-sqrt: 9.0ms (10.5% of total)

ival-add: 4.0ms (4.7% of total)

ival-sub: 2.0ms (2.3% of total)

const: 1.0ms (1.2% of total)

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

series271.0ms (3.1%)

Counts

19 → 516

Calls

Call 1

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

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

Calls

129 calls:

Time	Variable		Point	Expression
54.0ms	x	@	0	(* 1/2 (+ x (* y (* (sqrt (pow z 3/4)) (sqrt (pow z 1/4))))))
47.0ms	z	@	0	(* 1/2 (+ x (* y (* (sqrt (pow z 3/4)) (sqrt (pow z 1/4))))))
35.0ms	z	@	-inf	(* y (* (sqrt (pow z 3/4)) (sqrt (pow z 1/4))))
30.0ms	z	@	inf	(sqrt (pow z 1/4))
28.0ms	z	@	0	(sqrt (pow z 3/4))

rewrite1.0s (11.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3850×	`-lowering-.f32`
3850×	`-lowering-.f64`
3010×	`/-lowering-/.f32`
3010×	`/-lowering-/.f64`
1550×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	161
1	187	97
2	1413	97
0	9162	97

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1500

Calls

Call 1

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

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

simplify296.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

4376×	`-lowering-.f32`
4376×	`-lowering-.f64`
1942×	`+-lowering-+.f64`
1942×	`+-lowering-+.f32`
1660×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	396	4789
1	1387	4392
2	5441	4241
0	8468	4241

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

Calls

Call 1

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

Outputs
(* 1/2 (* y (sqrt z)))
(.f64 y (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 y (sqrt.f64 z)) x))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 y (sqrt.f64 z)) x))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 y (sqrt.f64 z)) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) x)))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) x)))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) x)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64))) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64))) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64))) x)) (-.f64 #s(literal 0 binary64) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 y (sqrt.f64 z)) x))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 y (sqrt.f64 z)) x))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 y (sqrt.f64 z)) x))
(* 1/2 (* y (sqrt z)))
(.f64 y (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(.f64 (.f64 #s(literal 1/2 binary64) y) (+.f64 (sqrt.f64 z) (/.f64 x y)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(.f64 (.f64 #s(literal 1/2 binary64) y) (+.f64 (sqrt.f64 z) (/.f64 x y)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(.f64 (.f64 #s(literal 1/2 binary64) y) (+.f64 (sqrt.f64 z) (/.f64 x y)))
(* 1/2 (* y (sqrt z)))
(.f64 y (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(.f64 (.f64 #s(literal 1/2 binary64) y) (+.f64 (sqrt.f64 z) (/.f64 x y)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(.f64 (.f64 #s(literal 1/2 binary64) y) (+.f64 (sqrt.f64 z) (/.f64 x y)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(.f64 (.f64 #s(literal 1/2 binary64) y) (+.f64 (sqrt.f64 z) (/.f64 x y)))
(* 1/2 (+ x (* y (sqrt z))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 y (sqrt.f64 z)) x))
(* 1/2 (+ x (* y (sqrt z))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 y (sqrt.f64 z)) x))
(* 1/2 (+ x (* y (sqrt z))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 y (sqrt.f64 z)) x))
(* 1/2 (+ x (* y (sqrt z))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 y (sqrt.f64 z)) x))
(* 1/2 (* y (sqrt z)))
(.f64 y (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z))))
(* -1/2 (* (pow -1 1/4) (* (* y (sqrt -1)) (sqrt z))))
(.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (.f64 y (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 z) #s(literal -1/2 binary64)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (pow -1 1/4) (* (* y (sqrt -1)) (sqrt (/ 1 z))))))))
(-.f64 (-.f64 #s(literal 0 binary64) (.f64 x #s(literal -1/2 binary64))) (.f64 z (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 y (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))))))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (pow -1 1/4) (* (* y (sqrt -1)) (sqrt (/ 1 z))))))))
(-.f64 (-.f64 #s(literal 0 binary64) (.f64 x #s(literal -1/2 binary64))) (.f64 z (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 y (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))))))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (pow -1 1/4) (* (* y (sqrt -1)) (sqrt (/ 1 z))))))))
(-.f64 (-.f64 #s(literal 0 binary64) (.f64 x #s(literal -1/2 binary64))) (.f64 z (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 y (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))))))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(+ x (* y (sqrt z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+ x (* y (sqrt z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+ x (* y (sqrt z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(.f64 x (+.f64 (.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1 binary64)))
(* x (+ 1 (* (/ y x) (sqrt z))))
(.f64 x (+.f64 (.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1 binary64)))
(* x (+ 1 (* (/ y x) (sqrt z))))
(.f64 x (+.f64 (.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1 binary64)))
x
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (.f64 y (/.f64 (sqrt.f64 z) x))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (.f64 y (/.f64 (sqrt.f64 z) x))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (.f64 y (/.f64 (sqrt.f64 z) x))) (-.f64 #s(literal 0 binary64) x))
x
(+ x (* y (sqrt z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+ x (* y (sqrt z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+ x (* y (sqrt z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (+ (sqrt z) (/ x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(* y (+ (sqrt z) (/ x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(* y (+ (sqrt z) (/ x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(+ x (* y (sqrt z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+ x (* y (sqrt z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+ x (* y (sqrt z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+ x (* y (sqrt z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(+.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 y z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(+.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 y z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(+.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 y z)))
(* -1 (* (pow -1 1/4) (* (* y (sqrt -1)) (sqrt z))))
(.f64 (.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)))
(* -1 (* z (+ (* -1 (/ x z)) (* (pow -1 1/4) (* (* y (sqrt -1)) (sqrt (/ 1 z)))))))
(-.f64 x (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 y (sqrt.f64 #s(literal -1 binary64)))) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (pow -1 1/4) (* (* y (sqrt -1)) (sqrt (/ 1 z)))))))
(-.f64 x (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 y (sqrt.f64 #s(literal -1 binary64)))) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (pow -1 1/4) (* (* y (sqrt -1)) (sqrt (/ 1 z)))))))
(-.f64 x (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 y (sqrt.f64 #s(literal -1 binary64)))) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) z)))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* -1 (* (pow -1 1/4) (* (* y (sqrt -1)) (sqrt z))))
(.f64 (.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)))
(* -1 (* (pow -1 1/4) (* (* y (sqrt -1)) (sqrt z))))
(.f64 (.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)))
(* -1 (* (pow -1 1/4) (* (* y (sqrt -1)) (sqrt z))))
(.f64 (.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)))
(* -1 (* (pow -1 1/4) (* (* y (sqrt -1)) (sqrt z))))
(.f64 (.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)))
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(* -1 (* (pow -1 1/4) (* (sqrt z) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)))
(* -1 (* (pow -1 1/4) (* (sqrt z) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)))
(* -1 (* (pow -1 1/4) (* (sqrt z) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)))
(* -1 (* (pow -1 1/4) (* (sqrt z) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 (* y (sqrt z)))
(.f64 y (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 y (sqrt.f64 z)) x))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 y (sqrt.f64 z)) x))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 y (sqrt.f64 z)) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) x)))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) x)))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) x)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64))) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64))) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64))) x)) (-.f64 #s(literal 0 binary64) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 y (sqrt.f64 z)) x))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 y (sqrt.f64 z)) x))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 y (sqrt.f64 z)) x))
(* 1/2 (* y (sqrt z)))
(.f64 y (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(.f64 (.f64 #s(literal 1/2 binary64) y) (+.f64 (sqrt.f64 z) (/.f64 x y)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(.f64 (.f64 #s(literal 1/2 binary64) y) (+.f64 (sqrt.f64 z) (/.f64 x y)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(.f64 (.f64 #s(literal 1/2 binary64) y) (+.f64 (sqrt.f64 z) (/.f64 x y)))
(* 1/2 (* y (sqrt z)))
(.f64 y (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(.f64 (.f64 #s(literal 1/2 binary64) y) (+.f64 (sqrt.f64 z) (/.f64 x y)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(.f64 (.f64 #s(literal 1/2 binary64) y) (+.f64 (sqrt.f64 z) (/.f64 x y)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(.f64 (.f64 #s(literal 1/2 binary64) y) (+.f64 (sqrt.f64 z) (/.f64 x y)))
(* 1/2 (+ x (* y (sqrt z))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 y (sqrt.f64 z)) x))
(* 1/2 (+ x (* y (sqrt z))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 y (sqrt.f64 z)) x))
(* 1/2 (+ x (* y (sqrt z))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 y (sqrt.f64 z)) x))
(* 1/2 (+ x (* y (sqrt z))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 y (sqrt.f64 z)) x))
(* 1/2 (* y (sqrt z)))
(.f64 y (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
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(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow y 2) z)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 z (*.f64 y y))))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/2 (/ (* (pow y 2) z) (pow x 2))) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 y y))) (.f64 x x))))
(* (pow x 2) (- (* 1/2 (/ (* (pow y 2) z) (pow x 2))) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 y y))) (.f64 x x))))
(* (pow x 2) (- (* 1/2 (/ (* (pow y 2) z) (pow x 2))) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 y y))) (.f64 x x))))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/2 (/ (* (pow y 2) z) (pow x 2))) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 y y))) (.f64 x x))))
(* (pow x 2) (- (* 1/2 (/ (* (pow y 2) z) (pow x 2))) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 y y))) (.f64 x x))))
(* (pow x 2) (- (* 1/2 (/ (* (pow y 2) z) (pow x 2))) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 y y))) (.f64 x x))))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(- (* (pow y 2) z) (pow x 2))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(- (* (pow y 2) z) (pow x 2))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(- (* (pow y 2) z) (pow x 2))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 y y) (-.f64 z (/.f64 (.f64 x x) (.f64 y y))))
(* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 y y) (-.f64 z (/.f64 (.f64 x x) (.f64 y y))))
(* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 y y) (-.f64 z (/.f64 (.f64 x x) (.f64 y y))))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 y y) (-.f64 z (/.f64 (.f64 x x) (.f64 y y))))
(* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 y y) (-.f64 z (/.f64 (.f64 x x) (.f64 y y))))
(* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 y y) (-.f64 z (/.f64 (.f64 x x) (.f64 y y))))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(- (* (pow y 2) z) (pow x 2))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(- (* (pow y 2) z) (pow x 2))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(- (* (pow y 2) z) (pow x 2))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* z (+ (* -1 (/ (pow x 2) z)) (pow y 2)))
(.f64 z (-.f64 (.f64 y y) (/.f64 (*.f64 x x) z)))
(* z (+ (* -1 (/ (pow x 2) z)) (pow y 2)))
(.f64 z (-.f64 (.f64 y y) (/.f64 (*.f64 x x) z)))
(* z (+ (* -1 (/ (pow x 2) z)) (pow y 2)))
(.f64 z (-.f64 (.f64 y y) (/.f64 (*.f64 x x) z)))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* -1 (* z (+ (* -1 (pow y 2)) (/ (pow x 2) z))))
(.f64 z (-.f64 (.f64 y y) (/.f64 (*.f64 x x) z)))
(* -1 (* z (+ (* -1 (pow y 2)) (/ (pow x 2) z))))
(.f64 z (-.f64 (.f64 y y) (/.f64 (*.f64 x x) z)))
(* -1 (* z (+ (* -1 (pow y 2)) (/ (pow x 2) z))))
(.f64 z (-.f64 (.f64 y y) (/.f64 (*.f64 x x) z)))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(+ (* -1 (pow x 2)) (* (pow y 2) z))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(+ (* -1 (pow x 2)) (* (pow y 2) z))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(+ (* -1 (pow x 2)) (* (pow y 2) z))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1))
(.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 z (.f64 y y)) (*.f64 x x))))
(* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1))
(.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 z (.f64 y y)) (*.f64 x x))))
(* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1))
(.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 z (.f64 y y)) (*.f64 x x))))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1))
(.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 z (.f64 y y)) (*.f64 x x))))
(* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1))
(.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 z (.f64 y y)) (*.f64 x x))))
(* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1))
(.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 z (.f64 y y)) (*.f64 x x))))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(pow (* 1 (pow z 3)) 1/8)
(pow.f64 (.f64 z (.f64 z z)) #s(literal 1/8 binary64))
(pow (* 1 (pow z 3)) 1/8)
(pow.f64 (.f64 z (.f64 z z)) #s(literal 1/8 binary64))
(pow (* 1 (pow z 3)) 1/8)
(pow.f64 (.f64 z (.f64 z z)) #s(literal 1/8 binary64))
(pow (* 1 (pow z 3)) 1/8)
(pow.f64 (.f64 z (.f64 z z)) #s(literal 1/8 binary64))
(pow (* 1 (pow z 3)) 1/8)
(pow.f64 (.f64 z (.f64 z z)) #s(literal 1/8 binary64))
(pow (* 1 (pow z 3)) 1/8)
(pow.f64 (.f64 z (.f64 z z)) #s(literal 1/8 binary64))
(pow (* 1 (pow z 3)) 1/8)
(pow.f64 (.f64 z (.f64 z z)) #s(literal 1/8 binary64))
(pow (* 1 (pow z 3)) 1/8)
(pow.f64 (.f64 z (.f64 z z)) #s(literal 1/8 binary64))
(exp (* 1/8 (+ (log -1) (* -3 (log (/ -1 z))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/8 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -3/8 binary64)))
(exp (* 1/8 (+ (log -1) (* -3 (log (/ -1 z))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/8 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -3/8 binary64)))
(exp (* 1/8 (+ (log -1) (* -3 (log (/ -1 z))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/8 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -3/8 binary64)))
(exp (* 1/8 (+ (log -1) (* -3 (log (/ -1 z))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/8 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -3/8 binary64)))
(pow (* 1 z) 1/8)
(pow.f64 z #s(literal 1/8 binary64))
(pow (* 1 z) 1/8)
(pow.f64 z #s(literal 1/8 binary64))
(pow (* 1 z) 1/8)
(pow.f64 z #s(literal 1/8 binary64))
(pow (* 1 z) 1/8)
(pow.f64 z #s(literal 1/8 binary64))
(pow (* 1 z) 1/8)
(pow.f64 z #s(literal 1/8 binary64))
(pow (* 1 z) 1/8)
(pow.f64 z #s(literal 1/8 binary64))
(pow (* 1 z) 1/8)
(pow.f64 z #s(literal 1/8 binary64))
(pow (* 1 z) 1/8)
(pow.f64 z #s(literal 1/8 binary64))
(exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 z))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/8 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/8 binary64)))
(exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 z))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/8 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/8 binary64)))
(exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 z))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/8 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/8 binary64)))
(exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 z))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/8 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/8 binary64)))

eval277.0ms (3.2%)

Compiler: Compiled 63404 to 3264 computations (94.9% saved)

prune152.0ms (1.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	2068	7	2075
Fresh	5	1	6
Picked	4	1	5
Done	0	1	1
Total	2077	10	2087

Accuracy

100.0%

Counts

2087 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
▶	52.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z))))
▶	48.8%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
	52.1%	(.f64 y (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
▶	93.0%	(.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (.f64 y z) (sqrt.f64 z))))
▶	93.0%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) z)))
▶	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (/.f64 (*.f64 #s(literal 1 binary64) z) (sqrt.f64 z)))))
	99.7%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))))))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	48.9%	(*.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 207 to 159 computations (23.2% saved)

simplify247.0ms (2.9%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y (pow.f64 z #s(literal -1/2 binary64)))
✓	cost-diff	192	(.f64 (.f64 y (pow.f64 z #s(literal -1/2 binary64))) z)
✓	cost-diff	192	(+.f64 x (.f64 (.f64 y (pow.f64 z #s(literal -1/2 binary64))) z))
✓	cost-diff	192	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) z)))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	64	(/.f64 (*.f64 y z) (sqrt.f64 z))
✓	cost-diff	64	(+.f64 x (/.f64 (*.f64 y z) (sqrt.f64 z)))
✓	cost-diff	64	(.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (.f64 y z) (sqrt.f64 z))))
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(*.f64 y (sqrt.f64 z))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z)))
✓	cost-diff	128	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	128	(*.f64 #s(literal 1 binary64) z)
✓	cost-diff	192	(.f64 y (/.f64 (.f64 #s(literal 1 binary64) z) (sqrt.f64 z)))
✓	cost-diff	192	(+.f64 x (.f64 y (/.f64 (.f64 #s(literal 1 binary64) z) (sqrt.f64 z))))
✓	cost-diff	192	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (/.f64 (*.f64 #s(literal 1 binary64) z) (sqrt.f64 z)))))

Rules

5014×	`-lowering-.f32`
5014×	`-lowering-.f64`
3864×	`associate-r`
2622×	`associate-*r/`
2210×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	135
1	66	125
2	142	122
3	280	122
4	534	120
5	1093	120
6	1949	120
7	2832	120
8	3014	120
9	3026	120
10	3026	120
11	3026	120
12	3026	120
13	6798	120
14	6889	120
15	6903	120
16	6969	120
17	6985	120
18	6987	120
19	7050	120
20	7050	120
21	7050	120
0	8900	120

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize135.0ms (1.6%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) z)))
✓	accuracy	100.0%	(+.f64 x (.f64 (.f64 y (pow.f64 z #s(literal -1/2 binary64))) z))
✓	accuracy	99.6%	(*.f64 y (pow.f64 z #s(literal -1/2 binary64)))
✓	accuracy	89.6%	(.f64 (.f64 y (pow.f64 z #s(literal -1/2 binary64))) z)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (.f64 y z) (sqrt.f64 z))))
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	100.0%	(+.f64 x (/.f64 (*.f64 y z) (sqrt.f64 z)))
✓	accuracy	87.9%	(/.f64 (*.f64 y z) (sqrt.f64 z))
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.6%	(*.f64 y (sqrt.f64 z))
✓	accuracy	99.4%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z))))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	100.0%	(+.f64 x (.f64 y (/.f64 (.f64 #s(literal 1 binary64) z) (sqrt.f64 z))))
✓	accuracy	99.6%	(.f64 y (/.f64 (.f64 #s(literal 1 binary64) z) (sqrt.f64 z)))
✓	accuracy	99.3%	(/.f64 (*.f64 #s(literal 1 binary64) z) (sqrt.f64 z))

Results

92.0ms

256×

valid

Compiler

Compiled 158 to 27 computations (82.9% saved)

Precisions

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

ival-mult: 23.0ms (46.6% of total)

ival-div: 10.0ms (20.3% of total)

ival-pow: 8.0ms (16.2% of total)

ival-sqrt: 5.0ms (10.1% of total)

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

const: 1.0ms (2% of total)

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

series23.0ms (0.3%)

Counts

19 → 468

Calls

Call 1

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

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

Calls

117 calls:

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

rewrite298.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

5198×	`-lowering-.f32`
5198×	`-lowering-.f64`
2394×	`/-lowering-/.f32`
2394×	`/-lowering-/.f64`
1146×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	107
1	153	79
2	1014	79
0	8991	79

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1504

Calls

Call 1

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

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

simplify226.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

3800×	`-lowering-.f32`
3800×	`-lowering-.f64`
1414×	`/-lowering-/.f32`
1414×	`/-lowering-/.f64`
1318×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	2588
1	320	2358
2	1152	2343
3	3680	2271
0	9063	2271

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

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

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

eval249.0ms (2.9%)

Compiler: Compiled 31879 to 2945 computations (90.8% saved)

prune136.0ms (1.6%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	2097	5	2102
Fresh	2	1	3
Picked	2	3	5
Done	0	2	2
Total	2101	11	2112

Accuracy

100.0%

Counts

2112 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.7%	(/.f64 (.f64 (.f64 y z) #s(literal 1/2 binary64)) (sqrt.f64 z))
▶	52.2%	(/.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 z #s(literal -1/2 binary64)))
▶	52.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y))
✓	52.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z))))
✓	48.8%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
▶	46.9%	(.f64 (/.f64 y (sqrt.f64 z)) (.f64 z #s(literal 1/2 binary64)))
▶	52.1%	(.f64 (.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z))
✓	93.0%	(.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (.f64 y z) (sqrt.f64 z))))
▶	99.7%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))))))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	48.9%	(*.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 179 to 138 computations (22.9% saved)

simplify25.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

260×	`-lowering-.f32`
260×	`-lowering-.f64`
128×	`associate-l`
118×	`/-lowering-/.f32`
118×	`/-lowering-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	107
1	48	104
2	87	104
3	167	104
4	218	104
5	321	104
6	321	104
7	329	104
8	344	104
9	350	104
10	361	104
11	373	104
12	394	104
13	420	104
14	424	104
0	424	104

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize99.0ms (1.1%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.7%	(/.f64 y (sqrt.f64 z))
✓	accuracy	89.6%	(.f64 (/.f64 y (sqrt.f64 z)) (.f64 z #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(pow.f64 z #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) y)
✓	accuracy	99.6%	(/.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 z #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(pow.f64 z #s(literal -1/2 binary64))
✓	accuracy	99.6%	(/.f64 (pow.f64 z #s(literal -1/2 binary64)) y)
✓	accuracy	99.4%	(/.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.6%	(.f64 (.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))))))
✓	accuracy	100.0%	(+.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))))
✓	accuracy	99.6%	(*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))

Results

67.0ms

256×

valid

Compiler

Compiled 115 to 21 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 13.0ms (38.8% of total)

ival-div: 8.0ms (23.9% of total)

ival-pow: 8.0ms (23.9% of total)

ival-sqrt: 2.0ms (6% of total)

ival-add: 1.0ms (3% of total)

const: 1.0ms (3% of total)

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

series8.0ms (0.1%)

Counts

14 → 300

Calls

Call 1

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

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

Calls

75 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	(/ (pow z -1/2) y)
0.0ms	z	@	-inf	(pow z -1/2)
0.0ms	z	@	-inf	(* 1/2 (+ x (* y (/ 1 (pow z -1/2)))))
0.0ms	z	@	inf	(pow z -1/2)
0.0ms	z	@	-inf	(* (/ y (sqrt z)) (* z 1/2))

rewrite275.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3332×	`-lowering-.f32`
3332×	`-lowering-.f64`
2308×	`/-lowering-/.f32`
2308×	`/-lowering-/.f64`
1840×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	64
1	101	60
2	591	60
3	5772	60
0	8031	60

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 896

Calls

Call 1

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

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

simplify282.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

3858×	`-lowering-.f32`
3858×	`-lowering-.f64`
1544×	`times-frac`
1220×	`fma-define`
1170×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	1657
1	270	1566
2	825	1555
3	2436	1519
4	7742	1519
0	8170	1519

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

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

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

eval170.0ms (2%)

Compiler: Compiled 16360 to 1665 computations (89.8% saved)

prune126.0ms (1.5%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	1366	2	1368
Fresh	0	1	1
Picked	1	4	5
Done	1	4	5
Total	1368	11	1379

Accuracy

100.0%

Counts

1379 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.7%	(/.f64 (.f64 (.f64 y z) #s(literal 1/2 binary64)) (sqrt.f64 z))
✓	52.2%	(/.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 z #s(literal -1/2 binary64)))
	52.0%	(/.f64 (sqrt.f64 z) (/.f64 #s(literal 2 binary64) y))
✓	52.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y))
✓	52.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z))))
✓	48.8%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
✓	46.9%	(.f64 (/.f64 y (sqrt.f64 z)) (.f64 z #s(literal 1/2 binary64)))
✓	52.1%	(.f64 (.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z))
	94.0%	(*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 z (/.f64 (sqrt.f64 z) y))))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	48.9%	(*.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 386 to 189 computations (51% saved)

regimes62.0ms (0.7%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

7 calls:

10.0ms	y
10.0ms	(sqrt.f64 z)
9.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
8.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
8.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
99.8%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
99.8%	1	`(*.f64 y (sqrt.f64 z))`
99.8%	1	`(sqrt.f64 z)`

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes13.0ms (0.2%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	y
3.0ms	(sqrt.f64 z)
3.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
75.8%	3	`x`
77.0%	3	`y`
61.8%	2	`z`
61.8%	2	`(sqrt.f64 z)`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes3.0ms (0%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
76.9%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Counts

5 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 y (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(.f64 (.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z))
(/.f64 (sqrt.f64 z) (/.f64 #s(literal 2 binary64) y))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
76.9%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.1b remaining (-0.3%)

Threshold costs -0.1b (-0.3%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))

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

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
48.9%	1	`z`
48.9%	1	`x`
48.9%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch34.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.60062825708095e+95	6.20634295207681e+105
14.0ms	-4.729705818630012e-86	-1.4953792657976188e-88

Results

20.0ms

288×

valid

Compiler

Compiled 343 to 285 computations (16.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 4.0ms (35% of total)

ival-sqrt: 3.0ms (26.3% of total)

ival-div: 2.0ms (17.5% of total)

ival-add: 2.0ms (17.5% of total)

const: 0.0ms (0% of total)

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

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.60062825708095e+95	6.20634295207681e+105
17.0ms	-4.729705818630012e-86	-1.4953792657976188e-88

Results

19.0ms

288×

valid

Compiler

Compiled 335 to 277 computations (17.3% saved)

Precisions

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

ival-mult: 4.0ms (38.3% of total)

ival-div: 2.0ms (19.1% of total)

ival-add: 2.0ms (19.1% of total)

ival-sqrt: 2.0ms (19.1% of total)

const: 0.0ms (0% of total)

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

bsearch39.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.60062825708095e+95	6.20634295207681e+105
17.0ms	-4.729705818630012e-86	-1.4953792657976188e-88

Results

23.0ms

288×

valid

Compiler

Compiled 325 to 267 computations (17.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 8.0ms (55.6% of total)

ival-div: 2.0ms (13.9% of total)

ival-add: 2.0ms (13.9% of total)

ival-sqrt: 2.0ms (13.9% of total)

const: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
4×	`if-if-or-not_binary32`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	72
1	46	72

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
(if (<=.f64 y #s(literal -1644812545036825/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) y) (pow.f64 z #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 161999999999999992900487222935732302197367347582289410411329224664302110874303091007092632322048 binary64)) (.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 z #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -5935323566771181/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776 binary64)) (.f64 y (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (if (<=.f64 y #s(literal 349999999999999999665913983316344938893090672568999106788942881071805303224072131769103942680576 binary64)) (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y))))
(if (<=.f64 y #s(literal -1644812545036825/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) (.f64 y (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (if (<=.f64 y #s(literal 14199999999999999549772279264037119585099604586217720061931905141857377660851222517216436128504120082432 binary64)) (.f64 #s(literal 1/2 binary64) x) (.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))))
(*.f64 #s(literal 1/2 binary64) x)

Outputs
(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
(if (<=.f64 y #s(literal -1644812545036825/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) y) (pow.f64 z #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 161999999999999992900487222935732302197367347582289410411329224664302110874303091007092632322048 binary64)) (.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 z #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -5935323566771181/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776 binary64)) (.f64 y (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (if (<=.f64 y #s(literal 349999999999999999665913983316344938893090672568999106788942881071805303224072131769103942680576 binary64)) (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y))))
(if (<=.f64 y #s(literal -1644812545036825/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) (.f64 y (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (if (<=.f64 y #s(literal 14199999999999999549772279264037119585099604586217720061931905141857377660851222517216436128504120082432 binary64)) (.f64 #s(literal 1/2 binary64) x) (.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))))
(*.f64 #s(literal 1/2 binary64) x)

soundness1.5s (17%)

Rules

5198×	`-lowering-.f32`
5198×	`-lowering-.f64`
4376×	`-lowering-.f32`
4376×	`-lowering-.f64`
3400×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	75	622
1	264	578
2	890	578
3	2783	554
4	7937	554
0	8105	554
0	26	107
1	153	79
2	1014	79
0	8991	79
0	396	4789
1	1387	4392
2	5441	4241
0	8468	4241
0	8	20
1	31	18
2	241	18
3	2446	18
0	8390	18
0	11	8
1	22	7
2	37	7
3	48	7
0	48	7

Stop Event

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

Compiler

Compiled 288 to 188 computations (34.7% saved)

preprocess99.0ms (1.1%)

Compiler: Compiled 198 to 86 computations (56.6% saved)

Iter	Nodes	Cost
0	20	107
1	48	104
2	87	104
3	167	104
4	218	104
5	321	104
6	321	104
7	329	104
8	344	104
9	350	104
10	361	104
11	373	104
12	394	104
13	420	104
14	424	104
0	424	104

Iter	Nodes	Cost
0	20	107
1	48	104
2	87	104
3	167	104
4	218	104
5	321	104
6	321	104
7	329	104
8	344	104
9	350	104
10	361	104
11	373	104
12	394	104
13	420	104
14	424	104
0	424	104

analyze74.0ms (0.9%)

sample1.1s (12.9%)

preprocess72.0ms (0.8%)

explain92.0ms (1.1%)

eval0.0ms (0%)

prune9.0ms (0.1%)

simplify6.0ms (0.1%)

localize28.0ms (0.3%)

series28.0ms (0.3%)

rewrite293.0ms (3.4%)

simplify217.0ms (2.5%)

eval35.0ms (0.4%)

prune59.0ms (0.7%)

simplify292.0ms (3.4%)

localize223.0ms (2.6%)

series271.0ms (3.1%)

rewrite1.0s (11.9%)

simplify296.0ms (3.4%)

eval277.0ms (3.2%)

prune152.0ms (1.8%)

simplify247.0ms (2.9%)

localize135.0ms (1.6%)

series23.0ms (0.3%)

rewrite298.0ms (3.5%)

simplify226.0ms (2.6%)

eval249.0ms (2.9%)

prune136.0ms (1.6%)

simplify25.0ms (0.3%)

localize99.0ms (1.1%)

series8.0ms (0.1%)

rewrite275.0ms (3.2%)

simplify282.0ms (3.3%)

eval170.0ms (2%)

prune126.0ms (1.5%)

regimes62.0ms (0.7%)

regimes13.0ms (0.2%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes5.0ms (0.1%)

bsearch34.0ms (0.4%)

bsearch37.0ms (0.4%)

bsearch39.0ms (0.5%)

simplify9.0ms (0.1%)

soundness1.5s (17%)

preprocess99.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	20	107
1	48	104
2	87	104
3	167	104
4	218	104
5	321	104
6	321	104
7	329	104
8	344	104
9	350	104
10	361	104
11	373	104
12	394	104
13	420	104
14	424	104
0	424	104