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

analyze51.0ms (0.5%)

Memory

-18.6MiB live, 102.1MiB allocated

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 12 to 12 computations (0% saved)

sample1.1s (11.7%)

Memory

10.1MiB live, 1 600.7MiB allocated

Samples

673.0ms	8 256×	0	valid
151.0ms	2 039×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 474.0ms

ival-mult: 178.0ms (37.6% of total)

ival-sqrt: 98.0ms (20.7% of total)

ival-add: 92.0ms (19.4% of total)

ival-div: 86.0ms (18.2% of total)

exact: 9.0ms (1.9% of total)

ival-true: 7.0ms (1.5% of total)

ival-assert: 4.0ms (0.8% of total)

Bogosity

preprocess76.0ms (0.8%)

Memory

6.9MiB live, 44.4MiB allocated

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 (1%)

Memory

-16.0MiB live, 181.0MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

33.0ms

512×

valid

Compiler

Compiled 90 to 44 computations (51.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 6.0ms (36.3% of total)

ival-sqrt: 4.0ms (24.2% of total)

ival-div: 3.0ms (18.1% of total)

ival-add: 2.0ms (12.1% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify5.0ms (0.1%)

Memory

9.3MiB live, 9.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	22	26
2	32	26
3	36	26
0	36	24

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize31.0ms (0.3%)

Memory

12.0MiB live, 51.7MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

21.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 7.0ms (53.8% of total)

ival-mult: 3.0ms (23.1% of total)

ival-sqrt: 2.0ms (15.4% of total)

ival-add: 1.0ms (7.7% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Memory

-20.3MiB live, 17.0MiB allocated

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite534.0ms (5.5%)

Memory

37.2MiB live, 709.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 460×	`accelerator-lowering-fma.f32`
7 460×	`accelerator-lowering-fma.f64`
4 298×	`-lowering-.f32`
4 298×	`-lowering-.f64`
4 222×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	36	21
2	225	21
3	2010	21
0	8167	19

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 272

Calls

Call 1

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

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

simplify257.0ms (2.6%)

Memory

-7.8MiB live, 480.8MiB allocated

Algorithm

1×	egg-herbie

Rules

5 642×	`accelerator-lowering-fma.f32`
5 642×	`accelerator-lowering-fma.f64`
3 660×	`-lowering-.f32`
3 660×	`-lowering-.f64`
1 856×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	646
1	251	646
2	797	646
3	2293	622
4	5061	622
5	7548	622
0	8138	566

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval44.0ms (0.4%)

Memory: -15.8MiB live, 102.8MiB allocated
Compiler: Compiled 11 105 to 916 computations (91.8% saved)

prune145.0ms (1.5%)

Memory

19.0MiB live, 97.7MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	371	9	380
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	372	9	381

Accuracy

100.0%

Counts

381 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.3%	(/.f64 (.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 y (sqrt.f64 z)) x))
▶	99.7%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))))
▶	99.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))))
	99.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
	99.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 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 (+.f64 x (.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
	95.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z))))
	52.0%	(.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z)))
▶	49.9%	(*.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 258 to 188 computations (27.1% saved)

simplify680.0ms (7%)

Memory

-28.9MiB live, 202.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x (.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) y)))
✓	cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
✓	cost-diff	6656	(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
✓	cost-diff	0	(.f64 y (.f64 y z))
✓	cost-diff	0	(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
✓	cost-diff	0	(.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 y (sqrt.f64 z)) x))
✓	cost-diff	0	(*.f64 y (sqrt.f64 z))
✓	cost-diff	0	(+.f64 x (*.f64 y (sqrt.f64 z)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
✓	cost-diff	128	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(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 (+.f64 x (.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))

Rules

3 120×	`accelerator-lowering-fma.f32`
3 120×	`accelerator-lowering-fma.f64`
2 216×	`-lowering-.f32`
2 216×	`-lowering-.f64`
1 462×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	160
1	58	160
2	99	160
3	177	160
4	323	160
5	564	160
6	1229	160
7	3528	160
8	4999	160
9	5375	160
10	5419	160
11	5440	160
12	5456	160
13	6910	160
14	7384	160
15	7417	160
16	7465	160
17	7509	160
18	7509	160
19	7509	160
20	7681	160
21	7849	160
22	7849	160
0	7849	153

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize154.0ms (1.6%)

Memory

-17.4MiB live, 140.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 z #s(literal 1/4 binary64))
✓	accuracy	100.0%	(+.f64 x (.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) y)))
✓	accuracy	99.6%	(*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)
✓	accuracy	99.5%	(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
✓	accuracy	99.8%	(.f64 y (.f64 y z))
✓	accuracy	99.7%	(*.f64 y (sqrt.f64 z))
✓	accuracy	95.4%	(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
✓	accuracy	56.2%	(/.f64 (.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 y (sqrt.f64 z)) x))
✓	accuracy	100.0%	(+.f64 x (*.f64 y (sqrt.f64 z)))
✓	accuracy	99.7%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))))
✓	accuracy	99.7%	(*.f64 y (sqrt.f64 z))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(.f64 (+.f64 x (.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	100.0%	(+.f64 x (*.f64 y (sqrt.f64 z)))
✓	accuracy	99.7%	(*.f64 y (sqrt.f64 z))

Samples

76.0ms

256×

valid

Compiler

Compiled 183 to 29 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 38.0ms (66.3% of total)

ival-div: 6.0ms (10.5% of total)

ival-pow: 6.0ms (10.5% of total)

ival-add: 2.0ms (3.5% of total)

ival-sub: 2.0ms (3.5% of total)

ival-sqrt: 2.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series129.0ms (1.3%)

Memory

29.2MiB live, 259.4MiB allocated

Counts

17 → 456

Calls

Call 1

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

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

Calls

114 calls:

Time	Variable		Point	Expression
40.0ms	y	@	0	(* (pow z 1/4) y)
34.0ms	z	@	0	(* (pow z 1/4) y)
16.0ms	z	@	-inf	(* (pow z 1/4) y)
6.0ms	z	@	inf	(* (pow z 1/4) y)
4.0ms	z	@	0	(/ (* (- (* y (* y z)) (* x x)) 1/2) (- (* y (sqrt z)) x))

rewrite1.1s (11%)

Memory

-7.4MiB live, 821.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 076×	`accelerator-lowering-fma.f32`
11 076×	`accelerator-lowering-fma.f64`
6 114×	`-lowering-.f32`
6 114×	`-lowering-.f64`
3 026×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	99
1	132	99
2	964	99
0	9014	92

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1 733

Calls

Call 1

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

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

simplify999.0ms (10.3%)

Memory

-7.7MiB live, 681.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 208×	`accelerator-lowering-fma.f32`
8 208×	`accelerator-lowering-fma.f64`
5 194×	`-lowering-.f32`
5 194×	`-lowering-.f64`
2 254×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	364	4360
1	1174	4194
2	4288	4064
0	8247	3879

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

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

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

eval605.0ms (6.2%)

Memory: 35.0MiB live, 731.6MiB allocated
Compiler: Compiled 73 567 to 3 189 computations (95.7% saved)

prune187.0ms (1.9%)

Memory

1.1MiB live, 395.3MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	2 502	6	2 508
Fresh	4	0	4
Picked	3	2	5
Done	0	0	0
Total	2 509	8	2 517

Accuracy

100.0%

Counts

2 517 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.4%	(/.f64 (.f64 (.f64 z (.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (.f64 y (sqrt.f64 z)) x))
▶	51.9%	(/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
▶	49.8%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
▶	95.8%	(.f64 (+.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z))) #s(literal 1/2 binary64))
▶	75.8%	(.f64 (+.f64 x (.f64 y (pow.f64 (*.f64 z z) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64))
✓	99.8%	(.f64 (+.f64 x (.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
▶	52.0%	(.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
✓	49.9%	(*.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 165 to 123 computations (25.5% saved)

simplify9.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

162×	`-lowering-.f32`
162×	`-lowering-.f64`
64×	`accelerator-lowering-fma.f32`
64×	`accelerator-lowering-fma.f64`
56×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	134
1	43	134
2	76	134
3	115	134
4	144	134
0	144	130

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize91.0ms (0.9%)

Memory

-42.3MiB live, 166.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(+.f64 x (.f64 y (pow.f64 (.f64 z z) #s(literal 1/4 binary64))))
✓	accuracy	99.7%	(.f64 y (pow.f64 (.f64 z z) #s(literal 1/4 binary64)))
✓	accuracy	52.7%	(pow.f64 (*.f64 z z) #s(literal 1/4 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) z)
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
✓	accuracy	99.6%	(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
✓	accuracy	99.4%	(/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
✓	accuracy	100.0%	(.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.7%	(*.f64 y (sqrt.f64 z))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.8%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(+.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 y z)))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
✓	accuracy	90.6%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 y z))

Samples

51.0ms

256×

valid

Compiler

Compiled 138 to 26 computations (81.2% saved)

Precisions

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

ival-mult: 12.0ms (37.6% of total)

ival-div: 9.0ms (28.2% of total)

ival-pow: 5.0ms (15.7% of total)

ival-sqrt: 3.0ms (9.4% of total)

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

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

exact: 0.0ms (0% of total)

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

series69.0ms (0.7%)

Memory

6.8MiB live, 164.1MiB allocated

Counts

18 → 396

Calls

Call 1

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

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

Calls

99 calls:

Time	Variable		Point	Expression
25.0ms	x	@	0	(* (+ x (* y (pow (* z z) 1/4))) 1/2)
16.0ms	y	@	0	(* (+ x (* y (pow (* z z) 1/4))) 1/2)
11.0ms	z	@	0	(* (+ x (* y (pow (* z z) 1/4))) 1/2)
2.0ms	y	@	inf	(* y z)
1.0ms	z	@	-inf	(/ 1/2 (/ (sqrt (/ 1 z)) y))

rewrite290.0ms (3%)

Memory

37.7MiB live, 590.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 532×	`accelerator-lowering-fma.f32`
5 532×	`accelerator-lowering-fma.f64`
3 642×	`-lowering-.f32`
3 642×	`-lowering-.f64`
1 800×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	109
1	116	93
2	662	79
3	6978	79
0	8037	75

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1 085

Calls

Call 1

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

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

simplify252.0ms (2.6%)

Memory

-25.9MiB live, 442.0MiB allocated

Algorithm

1×	egg-herbie

Rules

5 172×	`accelerator-lowering-fma.f32`
5 172×	`accelerator-lowering-fma.f64`
4 428×	`-lowering-.f32`
4 428×	`-lowering-.f64`
1 332×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	2328
1	333	2189
2	1077	2169
3	2997	2106
4	6521	2106
0	8109	2006

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

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

eval189.0ms (1.9%)

Memory: 27.9MiB live, 289.1MiB allocated
Compiler: Compiled 22 762 to 2 230 computations (90.2% saved)

prune123.0ms (1.3%)

Memory

10.2MiB live, 206.1MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1 571	5	1 576
Fresh	1	0	1
Picked	3	2	5
Done	0	2	2
Total	1 575	9	1 584

Accuracy

100.0%

Counts

1 584 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.0%	(/.f64 (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64))
▶	48.0%	(/.f64 (.f64 (.f64 z y) #s(literal 1/2 binary64)) (sqrt.f64 z))
▶	51.9%	(/.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y))
✓	49.8%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
▶	48.0%	(.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 (*.f64 z y) #s(literal 1/2 binary64)))
▶	51.9%	(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal -1/2 binary64))) y)
✓	99.8%	(.f64 (+.f64 x (.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
✓	52.0%	(.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
✓	49.9%	(*.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 140 to 109 computations (22.1% saved)

simplify252.0ms (2.6%)

Memory

-28.6MiB live, 191.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

5 450×	`associate-/r/`
5 036×	`associate-/l/`
4 728×	`-lowering-.f32`
4 728×	`-lowering-.f64`
4 298×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	101
1	31	101
2	65	99
3	124	98
4	165	98
5	215	98
6	324	98
7	721	98
8	1591	98
9	2885	98
10	3301	98
11	3574	98
12	3574	98
13	3574	98
14	3574	98
15	3673	98
16	3692	98
17	3692	98
18	3692	98
19	7474	98
20	7720	98
21	7723	98
22	7733	98
23	7733	98
24	7733	98
25	7733	98
26	7733	98
0	10840	98

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize71.0ms (0.7%)

Memory

17.6MiB live, 92.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 z #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(.f64 (.f64 z y) #s(literal 1/2 binary64))
✓	accuracy	90.6%	(.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 (*.f64 z y) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	100.0%	(.f64 (.f64 z y) #s(literal 1/2 binary64))
✓	accuracy	90.6%	(/.f64 (.f64 (.f64 z y) #s(literal 1/2 binary64)) (sqrt.f64 z))
✓	accuracy	100.0%	(pow.f64 z #s(literal -1/2 binary64))
✓	accuracy	99.6%	(/.f64 (pow.f64 z #s(literal -1/2 binary64)) y)
✓	accuracy	99.4%	(/.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y))
✓	accuracy	100.0%	(pow.f64 z #s(literal -1/2 binary64))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal -1/2 binary64))) y)
✓	accuracy	99.6%	(/.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 (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 y (pow.f64 z #s(literal -1/2 binary64)))

Samples

44.0ms

256×

valid

Compiler

Compiled 104 to 20 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 12.0ms (41.2% of total)

ival-mult: 6.0ms (20.6% of total)

ival-pow: 6.0ms (20.6% of total)

ival-sqrt: 5.0ms (17.2% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

12 → 252

Calls

Call 1

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

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

Calls

63 calls:

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

rewrite231.0ms (2.4%)

Memory

-21.2MiB live, 370.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 472×	`-lowering-.f32`
3 472×	`-lowering-.f64`
2 256×	`/-lowering-/.f32`
2 256×	`/-lowering-/.f64`
1 352×	`unpow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	63
1	75	56
2	372	56
3	2071	56
0	8458	56

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 1 318

Calls

Call 1

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

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

simplify530.0ms (5.5%)

Memory

37.5MiB live, 235.3MiB allocated

Algorithm

1×	egg-herbie

Rules

1 824×	`-lowering-.f32`
1 824×	`-lowering-.f64`
1 824×	`accelerator-lowering-fma.f32`
1 824×	`accelerator-lowering-fma.f64`
1 646×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	1356
1	67	1292
2	132	1284
3	260	1284
4	677	1284
5	1200	1284
6	2100	1284
7	3193	1284
8	4349	1284
9	4596	1284
10	4627	1284
11	4649	1284
12	4667	1284
13	4851	1284
14	4961	1284
15	5000	1284
16	5045	1284
17	5057	1284
18	5057	1284
19	5057	1284
20	5057	1284
21	5057	1284
22	5290	1284
23	6213	1284
24	6450	1284
25	6508	1284
26	6532	1284
27	6544	1284
28	6556	1284
29	6556	1284
30	6688	1284
31	6744	1284
32	6744	1284
33	7243	1284
34	7259	1284
35	7377	1284
36	7469	1284
37	7503	1284
0	7503	1284

Stop Event

1×	iter limit
1×	saturated

Counts

252 → 252

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

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

eval335.0ms (3.5%)

Memory: -0.1MiB live, 417.3MiB allocated
Compiler: Compiled 22 950 to 1 861 computations (91.9% saved)

prune256.0ms (2.6%)

Memory

-14.6MiB live, 273.1MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	1 867	2	1 869
Fresh	0	0	0
Picked	2	3	5
Done	0	4	4
Total	1 869	9	1 878

Accuracy

100.0%

Counts

1 878 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.0%	(/.f64 (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64))
✓	48.0%	(/.f64 (.f64 (.f64 z y) #s(literal 1/2 binary64)) (sqrt.f64 z))
	51.9%	(/.f64 (sqrt.f64 z) (/.f64 #s(literal 2 binary64) y))
✓	51.9%	(/.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y))
✓	49.8%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
	48.0%	(.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (.f64 y z))
✓	99.8%	(.f64 (+.f64 x (.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
✓	52.0%	(.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
✓	49.9%	(*.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 308 to 143 computations (53.6% saved)

regimes51.0ms (0.5%)

Memory

12.4MiB live, 91.8MiB allocated

Counts

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

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

Calls

7 calls:

9.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
8.0ms	y
7.0ms	(sqrt.f64 z)
7.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
7.0ms	x

Results

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

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes17.0ms (0.2%)

Memory

-4.2MiB live, 35.3MiB allocated

Counts

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
76.9%	3	`x`
75.1%	3	`y`
68.9%	2	`z`
79.5%	3	`(*.f64 y (sqrt.f64 z))`
68.9%	2	`(sqrt.f64 z)`

Compiler

Compiled 24 to 18 computations (25% saved)

regimes3.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated

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

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

Calls

1 calls:

3.0ms

(*.f64 y (sqrt.f64 z))

Results

Accuracy	Segments	Branch
79.5%	3	`(*.f64 y (sqrt.f64 z))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes5.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Accuracy

Total -0.1b remaining (-0.2%)

Threshold costs -0.1b (-0.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
49.9%	1	`z`
49.9%	1	`y`
49.9%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.1258479780207e-44	3.483597981807705e-44
0.0ms	-1.3919774229512202e-69	-7.222916412509734e-86

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.1258479780207e-44	3.483597981807705e-44
0.0ms	-1.3919774229512202e-69	-7.222916412509734e-86

Compiler

Compiled 16 to 16 computations (0% saved)

simplify9.0ms (0.1%)

Memory

-21.9MiB live, 17.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`if-if-or-not_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	65
1	31	65

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (+.f64 x (.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
(if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -1942668892225729/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z))) (if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal 6427752177035961/200867255532373784442745261542645325315275374222849104412672 binary64)) (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64))))
(if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -1942668892225729/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z))) (if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal 6427752177035961/200867255532373784442745261542645325315275374222849104412672 binary64)) (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))))
(*.f64 #s(literal 1/2 binary64) x)

Outputs
(.f64 (+.f64 x (.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
(if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -1942668892225729/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z))) (if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal 6427752177035961/200867255532373784442745261542645325315275374222849104412672 binary64)) (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64))))
(if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -1942668892225729/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal 6427752177035961/200867255532373784442745261542645325315275374222849104412672 binary64)) (*.f64 x #s(literal 1/2 binary64)) (/.f64 (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64))))
(if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -1942668892225729/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z))) (if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal 6427752177035961/200867255532373784442745261542645325315275374222849104412672 binary64)) (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))))
(if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -1942668892225729/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal 6427752177035961/200867255532373784442745261542645325315275374222849104412672 binary64)) (.f64 x #s(literal 1/2 binary64)) (.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))

soundness649.0ms (6.7%)

Memory

5.9MiB live, 479.5MiB allocated

Rules

8 208×	`accelerator-lowering-fma.f32`
8 208×	`accelerator-lowering-fma.f64`
7 460×	`accelerator-lowering-fma.f32`
7 460×	`accelerator-lowering-fma.f64`
5 642×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	646
1	251	646
2	797	646
3	2293	622
4	5061	622
5	7548	622
0	8138	566
0	364	4360
1	1174	4194
2	4288	4064
0	8247	3879
0	11	21
1	36	21
2	225	21
3	2010	21
0	8167	19
0	24	109
1	116	93
2	662	79
3	6978	79
0	8037	75

Stop Event

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

Compiler

Compiled 143 to 78 computations (45.5% saved)

preprocess62.0ms (0.6%)

Memory: 9.0MiB live, 54.9MiB allocated
Compiler: Compiled 172 to 66 computations (61.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze51.0ms (0.5%)

sample1.1s (11.7%)

preprocess76.0ms (0.8%)

explain97.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize31.0ms (0.3%)

series12.0ms (0.1%)

rewrite534.0ms (5.5%)

simplify257.0ms (2.6%)

eval44.0ms (0.4%)

prune145.0ms (1.5%)

simplify680.0ms (7%)

localize154.0ms (1.6%)

series129.0ms (1.3%)

rewrite1.1s (11%)

simplify999.0ms (10.3%)

eval605.0ms (6.2%)

prune187.0ms (1.9%)

simplify9.0ms (0.1%)

localize91.0ms (0.9%)

series69.0ms (0.7%)

rewrite290.0ms (3%)

simplify252.0ms (2.6%)

eval189.0ms (1.9%)

prune123.0ms (1.3%)

simplify252.0ms (2.6%)

localize71.0ms (0.7%)

series8.0ms (0.1%)

rewrite231.0ms (2.4%)

simplify530.0ms (5.5%)

eval335.0ms (3.5%)

prune256.0ms (2.6%)

regimes51.0ms (0.5%)

regimes17.0ms (0.2%)

regimes3.0ms (0%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness649.0ms (6.7%)

preprocess62.0ms (0.6%)

end0.0ms (0%)

Profiling