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

analyze54.0ms (0.5%)

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: 21.0ms

ival-div: 7.0ms (32.7% of total)

ival-mult: 7.0ms (32.7% of total)

ival-sqrt: 4.0ms (18.7% of total)

ival-add: 3.0ms (14% of total)

const: 1.0ms (4.7% of total)

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

sample1.2s (11.6%)

Results

674.0ms	8256×	0	valid
152.0ms	2103×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 498.0ms

ival-mult: 183.0ms (36.8% of total)

ival-div: 145.0ms (29.1% of total)

ival-sqrt: 91.0ms (18.3% of total)

ival-add: 59.0ms (11.9% of total)

const: 17.0ms (3.4% of total)

backward-pass: 4.0ms (0.8% of total)

Bogosity

preprocess70.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

488×	`unsub-neg`
368×	`distribute-lft-neg-in`
312×	`cancel-sign-sub-inv`
282×	`distribute-rgt-in`
246×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	86
1	118	82
2	330	82
3	622	82
4	990	82
5	1445	82
6	1848	82
7	2161	82
8	2276	82
9	2360	82
10	2396	82
11	2400	82
12	2400	82
0	11	8
1	22	8
2	32	8
3	36	8
0	36	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

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

explain97.0ms (0.9%)

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

61.0ms

512×

valid

Compiler

Compiled 81 to 42 computations (48.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-sqrt: 12.0ms (39.5% of total)

ival-mult: 8.0ms (26.4% of total)

ival-div: 7.0ms (23.1% of total)

ival-add: 3.0ms (9.9% of total)

const: 2.0ms (6.6% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

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)

localize54.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 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 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	accuracy	100.0%	(+.f64 x (*.f64 y (sqrt.f64 z)))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.6%	(*.f64 y (sqrt.f64 z))

Rules

32×	`-lowering-.f32`
32×	`-lowering-.f64`
20×	`accelerator-lowering-fma.f32`
20×	`accelerator-lowering-fma.f64`
16×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	17	24
2	29	24
3	31	24
0	31	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

Results

28.0ms

256×

valid

Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions

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

ival-mult: 4.0ms (51% of total)

ival-sqrt: 2.0ms (25.5% of total)

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

const: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Counts

4 → 108

Calls

Call 1

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

Outputs
#<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 (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))))))>

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	(* y (sqrt z))
1.0ms	y	@	-inf	(* 1/2 (+ x (* y (sqrt z))))
1.0ms	y	@	0	(* y (sqrt z))
1.0ms	y	@	inf	(* y (sqrt z))
0.0ms	x	@	0	(* 1/2 (+ x (* y (sqrt z))))

rewrite944.0ms (9%)

Algorithm

1×	batch-egg-rewrite

Rules

7460×	`accelerator-lowering-fma.f32`
7460×	`accelerator-lowering-fma.f64`
4298×	`-lowering-.f32`
4298×	`-lowering-.f64`
4222×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	31	20
2	222	20
3	2008	20
0	8179	18

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 271

Calls

Call 1

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

Outputs
(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 z #s(literal 1/2 binary64))
(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 (*.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))))
(+.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 (.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 z (.f64 y y)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x (*.f64 y (sqrt.f64 z))))))
(-.f64 (/.f64 (.f64 (.f64 z (.f64 y y)) #s(literal 1/4 binary64)) (-.f64 (.f64 y (.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) x))) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 (.f64 y (.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) x))))
(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 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z)) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 y (.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))
(fma.f64 x #s(literal 1/2 binary64) (.f64 y (.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 y #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (sqrt.f64 z)) x)))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 z (.f64 y y)) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 z (.f64 y y)) #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 (.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 z (.f64 y y)) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))) (+.f64 (.f64 (.f64 z (.f64 y y)) #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 (sqrt.f64 z) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 y (sqrt.f64 z)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 z (.f64 y y)) #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 (sqrt.f64 z) #s(literal 1/2 binary64)))))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 z (*.f64 y y)) #s(literal 1/4 binary64)) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 y (sqrt.f64 z)) x))) #s(literal 1 binary64)))
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(.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (pow.f64 (.f64 z (.f64 y y)) #s(literal 9/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 y y)) (.f64 (.f64 z (.f64 y y)) (.f64 z (.f64 y y))))) (pow.f64 (.f64 z (.f64 (.f64 x x) (.f64 y y))) #s(literal 3/2 binary64))) (+.f64 (.f64 x x) (.f64 y (-.f64 (.f64 y z) (.f64 (sqrt.f64 z) x)))))))
(.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 y y)) (.f64 (.f64 z (.f64 y y)) (.f64 z (.f64 y y))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 z (.f64 y y)) #s(literal 3/2 binary64))) (+.f64 (.f64 x x) (.f64 y (-.f64 (.f64 y z) (.f64 (sqrt.f64 z) x)))))))
(.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 y y)) (.f64 (.f64 z (.f64 y y)) (.f64 z (.f64 y y))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 z (.f64 y y)) (+.f64 (.f64 x x) (.f64 z (.f64 y y))))) (-.f64 x (.f64 y (sqrt.f64 z))))))
(.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 z (.f64 y y)) (.f64 z (.f64 y y)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x x) (.f64 z (.f64 y y))) (-.f64 x (*.f64 y (sqrt.f64 z))))))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 z (.f64 y y)) #s(literal 3/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (-.f64 (.f64 y z) (*.f64 (sqrt.f64 z) x))))))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 z (.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(.f64 (neg.f64 (-.f64 (.f64 z (.f64 y y)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x))))
(.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y (sqrt.f64 z)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (.f64 y y)) (-.f64 x (.f64 y (sqrt.f64 z)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y (sqrt.f64 z)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 z (.f64 y y)) (-.f64 x (.f64 y (sqrt.f64 z)))) #s(literal 2 binary64)) (/.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y (sqrt.f64 z)))) (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 z (.f64 y y))))))))
(.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y (sqrt.f64 z)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 z (.f64 y y)) (-.f64 x (.f64 y (sqrt.f64 z)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y (sqrt.f64 z)))) (/.f64 (.f64 z (.f64 y y)) (-.f64 x (*.f64 y (sqrt.f64 z)))))))
(.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 z (.f64 y y)) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (-.f64 (.f64 y z) (.f64 (sqrt.f64 z) x))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (pow.f64 (.f64 z (.f64 y y)) #s(literal 9/2 binary64))) (+.f64 (.f64 x x) (.f64 y (-.f64 (.f64 y z) (.f64 (sqrt.f64 z) x))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 y y)) (.f64 (.f64 z (.f64 y y)) (.f64 z (.f64 y y))))) (pow.f64 (.f64 z (.f64 (.f64 x x) (.f64 y y))) #s(literal 3/2 binary64)))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 y y)) (.f64 (.f64 z (.f64 y y)) (.f64 z (.f64 y y))))) (+.f64 (.f64 x x) (.f64 y (-.f64 (.f64 y z) (.f64 (sqrt.f64 z) x))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 z (.f64 y y)) #s(literal 3/2 binary64)))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 y y)) (.f64 (.f64 z (.f64 y y)) (.f64 z (.f64 y y))))) (-.f64 x (.f64 y (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 z (.f64 y y)) (+.f64 (.f64 x x) (.f64 z (.f64 y y)))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 z (.f64 y y)) (.f64 z (.f64 y y)))) (-.f64 x (.f64 y (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 z (*.f64 y y)))))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 z (.f64 y y))) (-.f64 (.f64 x x) (.f64 z (.f64 y y)))) (+.f64 (.f64 y (sqrt.f64 z)) x))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 z (.f64 y y)) #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 (sqrt.f64 z) x))) #s(literal 3 binary64)))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y (-.f64 (.f64 y z) (.f64 (sqrt.f64 z) x))) (-.f64 (.f64 y (-.f64 (.f64 y z) (.f64 (sqrt.f64 z) x))) (.f64 x x)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 z (.f64 y y)) #s(literal 3/2 binary64))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (.f64 y (-.f64 (.f64 y z) (.f64 (sqrt.f64 z) x))) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 y (-.f64 (.f64 y z) (*.f64 (sqrt.f64 z) x)))))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 z (.f64 y y))) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 z (.f64 y y)) #s(literal 3/2 binary64)))) (+.f64 (.f64 x x) (.f64 y (+.f64 (.f64 y z) (.f64 (sqrt.f64 z) x)))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) (.f64 y (-.f64 (.f64 y z) (.f64 (sqrt.f64 z) x)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (pow.f64 (.f64 z (.f64 y y)) #s(literal 9/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 y y)) (.f64 (.f64 z (.f64 y y)) (.f64 z (.f64 y y))))) (pow.f64 (.f64 z (.f64 (.f64 x x) (.f64 y y))) #s(literal 3/2 binary64)))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) (.f64 y (-.f64 (.f64 y z) (.f64 (sqrt.f64 z) x)))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 y y)) (.f64 (.f64 z (.f64 y y)) (.f64 z (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 z (.f64 y y)) #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 z (.f64 y y)) (.f64 (.f64 z (.f64 y y)) (.f64 z (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 z (.f64 y y)) (+.f64 (.f64 x x) (.f64 z (.f64 y y)))))))
(.f64 (pow.f64 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 z (.f64 y y)) (.f64 z (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 z (*.f64 y y)))))

simplify396.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

5642×	`accelerator-lowering-fma.f32`
5642×	`accelerator-lowering-fma.f64`
3660×	`-lowering-.f32`
3660×	`-lowering-.f64`
1856×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	646
1	251	646
2	797	646
3	2310	622
4	5086	622
5	7556	622
0	8151	566

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval123.0ms (1.2%)

Compiler: Compiled 10589 to 2655 computations (74.9% saved)

prune107.0ms (1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	369	10	379
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	369	11	380

Accuracy

100.0%

Counts

380 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (sqrt.f64 z)) x)))
	46.8%	(.f64 (-.f64 (.f64 x x) (.f64 z (.f64 y y))) (/.f64 #s(literal 1/2 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
	49.3%	(.f64 y (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
	44.8%	(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y (sqrt.f64 z)))) (/.f64 (.f64 z (.f64 y y)) (-.f64 x (.f64 y (sqrt.f64 z))))) (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y (sqrt.f64 z)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 z (.f64 y y)) (-.f64 x (*.f64 y (sqrt.f64 z)))) #s(literal 2 binary64))))))
	99.7%	(.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))))
▶	92.6%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z))))
▶	99.7%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
	71.6%	(.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))))
▶	53.1%	(*.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 379 to 238 computations (37.2% saved)

localize479.0ms (4.6%)

Algorithm

1×	egg-herbie

Localize:

Found 34 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	6528	(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓	cost-diff	6528	(*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓	cost-diff	6528	(+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓	cost-diff	6528	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
✓	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 (*.f64 y (sqrt.f64 z)) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (sqrt.f64 z)) x))
✓	cost-diff	128	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (sqrt.f64 z)) x)))
✓	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)))))))
✓	accuracy	100.0%	(+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
✓	accuracy	99.6%	(*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓	accuracy	99.2%	(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (+.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	88.3%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 y z))
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (sqrt.f64 z)) x)))
✓	accuracy	99.6%	(*.f64 y (sqrt.f64 z))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (sqrt.f64 z)) x))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	99.8%	(sqrt.f64 (pow.f64 z #s(literal 1/4 binary64)))
✓	accuracy	99.7%	(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	99.4%	(*.f64 (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64))))

Rules

270×	`-lowering-.f32`
270×	`-lowering-.f64`
126×	`associate-r`
120×	`accelerator-lowering-fma.f32`
120×	`accelerator-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	161
1	70	161
2	133	161
3	232	161
4	262	161
0	262	152

Stop Event

1×	iter limit
1×	saturated

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

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

Results

353.0ms

256×

valid

Compiler

Compiled 198 to 118 computations (40.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 303.0ms

ival-pow: 151.0ms (49.8% of total)

ival-mult: 85.0ms (28% of total)

ival-sqrt: 39.0ms (12.9% of total)

ival-div: 15.0ms (4.9% of total)

ival-add: 9.0ms (3% of total)

const: 5.0ms (1.6% of total)

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

series187.0ms (1.8%)

Counts

21 → 528

Calls

Call 1

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

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

Calls

132 calls:

Time	Variable		Point	Expression
54.0ms	z	@	0	(* (sqrt (pow z 3/4)) (sqrt (pow z 1/4)))
16.0ms	x	@	0	(* 1/2 (+ x (* y (* (sqrt (pow z 3/4)) (sqrt (pow z 1/4))))))
15.0ms	z	@	-inf	(sqrt (pow z 3/4))
14.0ms	z	@	-inf	(* (sqrt (pow z 3/4)) (sqrt (pow z 1/4)))
10.0ms	y	@	0	(* y (* (sqrt (pow z 3/4)) (sqrt (pow z 1/4))))

rewrite961.0ms (9.2%)

Algorithm

1×	batch-egg-rewrite

Rules

9724×	`accelerator-lowering-fma.f32`
9724×	`accelerator-lowering-fma.f64`
5618×	`-lowering-.f32`
5618×	`-lowering-.f64`
2406×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	137
1	168	101
2	1086	101
0	9129	92

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 2778

Calls

Call 1

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

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

simplify857.0ms (8.2%)

Algorithm

1×	egg-herbie

Rules

5986×	`accelerator-lowering-fma.f32`
5986×	`accelerator-lowering-fma.f64`
5302×	`-lowering-.f32`
5302×	`-lowering-.f64`
4044×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	309	4133
1	990	3976
2	3594	3897
0	8642	3716

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

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

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

eval861.0ms (8.2%)

Compiler: Compiled 67757 to 27124 computations (60% saved)

prune459.0ms (4.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	3301	5	3306
Fresh	4	1	5
Picked	4	1	5
Done	0	1	1
Total	3309	8	3317

Accuracy

100.0%

Counts

3317 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.2%	(/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
▶	53.0%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
▶	49.3%	(.f64 y (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
	92.6%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y))))
▶	92.3%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (/.f64 y (sqrt.f64 z)) z)))
▶	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (/.f64 z (sqrt.f64 z)))))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	53.1%	(*.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 153 to 115 computations (24.8% saved)

localize156.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 34 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y (sqrt.f64 z))
✓	cost-diff	0	(*.f64 (/.f64 y (sqrt.f64 z)) z)
✓	cost-diff	0	(+.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (/.f64 y (sqrt.f64 z)) z)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) z)
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
✓	cost-diff	0	(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 y (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
✓	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	0	(/.f64 z (sqrt.f64 z))
✓	cost-diff	0	(*.f64 y (/.f64 z (sqrt.f64 z)))
✓	cost-diff	0	(+.f64 x (*.f64 y (/.f64 z (sqrt.f64 z))))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (/.f64 z (sqrt.f64 z)))))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (/.f64 y (sqrt.f64 z)) z)))
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.6%	(/.f64 y (sqrt.f64 z))
✓	accuracy	88.4%	(*.f64 (/.f64 y (sqrt.f64 z)) z)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) z)
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
✓	accuracy	99.7%	(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
✓	accuracy	99.3%	(/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
✓	accuracy	100.0%	(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.6%	(.f64 y (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
✓	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%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (/.f64 z (sqrt.f64 z)))))
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.6%	(*.f64 y (/.f64 z (sqrt.f64 z)))
✓	accuracy	99.2%	(/.f64 z (sqrt.f64 z))

Rules

108×	`-lowering-.f32`
108×	`-lowering-.f64`
58×	`*-commutative`
36×	`accelerator-lowering-fma.f32`
36×	`accelerator-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	100
1	48	100
2	79	100
3	104	100
4	110	100
5	116	100
0	116	96

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

80.0ms

256×

valid

Compiler

Compiled 123 to 48 computations (61% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-div: 21.0ms (46.5% of total)

ival-mult: 12.0ms (26.6% of total)

ival-sqrt: 7.0ms (15.5% of total)

ival-add: 2.0ms (4.4% of total)

const: 2.0ms (4.4% of total)

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

series42.0ms (0.4%)

Counts

17 → 372

Calls

Call 1

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

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

Calls

93 calls:

Time	Variable		Point	Expression
14.0ms	z	@	-inf	(/ (sqrt (/ 1 z)) y)
2.0ms	z	@	-inf	(* y (* (sqrt z) 1/2))
1.0ms	z	@	-inf	(/ z (sqrt z))
1.0ms	z	@	-inf	(* y (/ z (sqrt z)))
1.0ms	y	@	0	(/ (sqrt (/ 1 z)) y)

rewrite562.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

5174×	`accelerator-lowering-fma.f32`
5174×	`accelerator-lowering-fma.f64`
4204×	`-lowering-.f32`
4204×	`-lowering-.f64`
2184×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	95
1	122	93
2	619	77
3	5832	77
0	8276	73

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1118

Calls

Call 1

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

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

simplify389.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

6126×	`accelerator-lowering-fma.f32`
6126×	`accelerator-lowering-fma.f64`
3834×	`-lowering-.f32`
3834×	`-lowering-.f64`
1684×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	2152
1	266	2088
2	809	2080
3	2264	2032
4	5483	2032
5	7664	2032
0	8137	1920

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

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

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

eval348.0ms (3.3%)

Compiler: Compiled 21558 to 10847 computations (49.7% saved)

prune192.0ms (1.8%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	1606	6	1612
Fresh	1	0	1
Picked	3	2	5
Done	0	2	2
Total	1610	10	1620

Accuracy

100.0%

Counts

1620 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.1%	(/.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
▶	49.3%	(/.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
▶	49.2%	(/.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y))
✓	53.0%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
▶	44.0%	(.f64 (/.f64 y (sqrt.f64 z)) (.f64 z #s(literal 1/2 binary64)))
▶	49.2%	(.f64 y (/.f64 (.f64 z #s(literal 1/2 binary64)) (sqrt.f64 z)))
▶	49.2%	(*.f64 y (/.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal -1/2 binary64))))
✓	49.3%	(.f64 y (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	53.1%	(*.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 160 to 125 computations (21.9% saved)

localize220.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 34 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	(sqrt.f64 z)
✓	cost-diff	0	(*.f64 z #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 z #s(literal 1/2 binary64)) (sqrt.f64 z))
✓	cost-diff	0	(.f64 y (/.f64 (.f64 z #s(literal 1/2 binary64)) (sqrt.f64 z)))
✓	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	(pow.f64 z #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal -1/2 binary64)))
✓	cost-diff	0	(*.f64 y (/.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal -1/2 binary64))))
✓	cost-diff	0	(pow.f64 z #s(literal -1/2 binary64))
✓	cost-diff	0	(*.f64 y #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 z #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.6%	(/.f64 y (sqrt.f64 z))
✓	accuracy	88.4%	(.f64 (/.f64 y (sqrt.f64 z)) (.f64 z #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 z #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.6%	(.f64 y (/.f64 (.f64 z #s(literal 1/2 binary64)) (sqrt.f64 z)))
✓	accuracy	99.2%	(/.f64 (*.f64 z #s(literal 1/2 binary64)) (sqrt.f64 z))
✓	accuracy	100.0%	(pow.f64 z #s(literal -1/2 binary64))
✓	accuracy	99.7%	(/.f64 (pow.f64 z #s(literal -1/2 binary64)) y)
✓	accuracy	99.3%	(/.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y))
✓	accuracy	100.0%	(pow.f64 z #s(literal -1/2 binary64))
✓	accuracy	99.6%	(/.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal -1/2 binary64)))
✓	accuracy	99.6%	(*.f64 y (/.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(pow.f64 z #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
✓	accuracy	99.6%	(/.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))

Rules

80×	`-lowering-.f32`
80×	`-lowering-.f64`
28×	`*-commutative`
24×	`/-lowering-/.f32`
24×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	72
1	28	72
2	49	72
3	67	72
4	68	72
0	68	72

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

139.0ms

256×

valid

Compiler

Compiled 101 to 58 computations (42.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-pow: 58.0ms (56.1% of total)

ival-div: 21.0ms (20.3% of total)

ival-mult: 19.0ms (18.4% of total)

const: 3.0ms (2.9% of total)

ival-sqrt: 2.0ms (1.9% of total)

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

series16.0ms (0.2%)

Counts

13 → 240

Calls

Call 1

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

Outputs
#<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)>
#<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 (/ 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 (sqrt z))>
#<alt (* 1/2 (sqrt z))>
#<alt (* 1/2 (sqrt z))>
#<alt (* 1/2 (sqrt z))>
#<alt (* 1/2 (sqrt z))>
#<alt (* 1/2 (sqrt z))>
#<alt (* 1/2 (sqrt z))>
#<alt (* 1/2 (sqrt z))>
#<alt (* -1/2 (sqrt z))>
#<alt (* -1/2 (sqrt z))>
#<alt (* -1/2 (sqrt z))>
#<alt (* -1/2 (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 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 (* 1/2 (sqrt z))>
#<alt (* 1/2 (sqrt z))>
#<alt (* 1/2 (sqrt z))>
#<alt (* 1/2 (sqrt z))>
#<alt (* 1/2 (sqrt z))>
#<alt (* 1/2 (sqrt z))>
#<alt (* 1/2 (sqrt z))>
#<alt (* 1/2 (sqrt z))>
#<alt (* 1/2 (sqrt z))>
#<alt (* 1/2 (sqrt z))>
#<alt (* 1/2 (sqrt z))>
#<alt (* 1/2 (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 (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 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 (* 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)))>

Calls

60 calls:

Time	Variable		Point	Expression
0.0ms	z	@	-inf	(pow z -1/2)
0.0ms	z	@	0	(pow z -1/2)
0.0ms	z	@	-inf	(/ 1/2 (pow z -1/2))
0.0ms	z	@	inf	(pow z -1/2)
0.0ms	z	@	-inf	(/ (* z 1/2) (sqrt z))

rewrite305.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3282×	`-lowering-.f32`
3282×	`-lowering-.f64`
2330×	`/-lowering-/.f32`
2330×	`/-lowering-/.f64`
1300×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	65
1	73	58
2	360	58
3	2022	58
0	8453	58

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 1346

Calls

Call 1

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

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

simplify327.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1848×	`associate-r`
1652×	`-lowering-.f32`
1652×	`-lowering-.f64`
1648×	`accelerator-lowering-fma.f32`
1648×	`accelerator-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	1328
1	52	1264
2	88	1256
3	161	1256
4	469	1256
5	879	1256
6	1326	1256
7	1704	1256
8	2145	1256
9	2247	1256
10	2297	1256
11	2299	1256
12	2299	1256
13	2547	1256
14	2875	1256
15	2939	1256
16	2979	1256
17	2987	1256
18	2987	1256
19	3003	1256
20	3003	1256
21	3279	1256
22	3715	1256
23	6672	1256
24	7679	1256
25	7899	1256
26	7935	1256
27	7949	1256
28	7951	1256
0	8183	1256

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
(* 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)
(* 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 (/ 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 (sqrt z))
(* 1/2 (sqrt z))
(* 1/2 (sqrt z))
(* 1/2 (sqrt z))
(* 1/2 (sqrt z))
(* 1/2 (sqrt z))
(* 1/2 (sqrt z))
(* 1/2 (sqrt z))
(* -1/2 (sqrt z))
(* -1/2 (sqrt z))
(* -1/2 (sqrt z))
(* -1/2 (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 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)))
(* 1/2 (sqrt z))
(* 1/2 (sqrt z))
(* 1/2 (sqrt z))
(* 1/2 (sqrt z))
(* 1/2 (sqrt z))
(* 1/2 (sqrt z))
(* 1/2 (sqrt z))
(* 1/2 (sqrt z))
(* 1/2 (sqrt z))
(* 1/2 (sqrt z))
(* 1/2 (sqrt z))
(* 1/2 (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)))
(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 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 (* 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)))

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

eval526.0ms (5%)

Compiler: Compiled 23339 to 16630 computations (28.7% saved)

prune246.0ms (2.4%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	1940	1	1941
Fresh	1	0	1
Picked	0	5	5
Done	0	4	4
Total	1941	10	1951

Accuracy

100.0%

Counts

1951 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.3%	(/.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
	49.2%	(/.f64 (sqrt.f64 z) (/.f64 #s(literal 2 binary64) y))
✓	49.2%	(/.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y))
✓	53.0%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
✓	44.0%	(.f64 (/.f64 y (sqrt.f64 z)) (.f64 z #s(literal 1/2 binary64)))
✓	49.2%	(.f64 y (/.f64 (.f64 z #s(literal 1/2 binary64)) (sqrt.f64 z)))
✓	49.2%	(*.f64 y (/.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal -1/2 binary64))))
✓	49.3%	(.f64 y (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	53.1%	(*.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 365 to 217 computations (40.5% saved)

regimes140.0ms (1.3%)

Counts

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

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

Calls

7 calls:

57.0ms	x
46.0ms	z
9.0ms	(*.f64 y (sqrt.f64 z))
6.0ms	(sqrt.f64 z)
6.0ms	y

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)

regimes26.0ms (0.3%)

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

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

Calls

4 calls:

9.0ms	x
8.0ms	y
5.0ms	z
4.0ms	(sqrt.f64 z)

Results

Accuracy	Segments	Branch
78.0%	3	`x`
74.1%	3	`y`
65.2%	2	`z`
65.2%	2	`(sqrt.f64 z)`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes4.0ms (0%)

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	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
53.1%	1	`z`
53.1%	1	`y`
53.1%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch32.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	4.6341659424711745e-7	0.10741164851636692
15.0ms	-8.723228950867538e+84	-1.581221697190351e+80

Results

18.0ms

272×

valid

Compiler

Compiled 308 to 253 computations (17.9% saved)

Precisions

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

ival-mult: 4.0ms (40.1% of total)

ival-div: 2.0ms (20.1% of total)

ival-sqrt: 2.0ms (20.1% of total)

ival-add: 1.0ms (10% of total)

const: 0.0ms (0% of total)

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

soundness1.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 34 to 23 computations (32.4% saved)

preprocess31.0ms (0.3%)

Compiler: Compiled 94 to 66 computations (29.8% saved)

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

analyze54.0ms (0.5%)

sample1.2s (11.6%)

preprocess70.0ms (0.7%)

explain97.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize54.0ms (0.5%)

series11.0ms (0.1%)

rewrite944.0ms (9%)

simplify396.0ms (3.8%)

eval123.0ms (1.2%)

prune107.0ms (1%)

localize479.0ms (4.6%)

series187.0ms (1.8%)

rewrite961.0ms (9.2%)

simplify857.0ms (8.2%)

eval861.0ms (8.2%)

prune459.0ms (4.4%)

localize156.0ms (1.5%)

series42.0ms (0.4%)

rewrite562.0ms (5.4%)

simplify389.0ms (3.7%)

eval348.0ms (3.3%)

prune192.0ms (1.8%)

localize220.0ms (2.1%)

series16.0ms (0.2%)

rewrite305.0ms (2.9%)

simplify327.0ms (3.1%)

eval526.0ms (5%)

prune246.0ms (2.4%)

regimes140.0ms (1.3%)

regimes26.0ms (0.3%)

regimes4.0ms (0%)

bsearch32.0ms (0.3%)

soundness1.0ms (0%)

preprocess31.0ms (0.3%)

end0.0ms (0%)

Profiling