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

analyze48.0ms (0.5%)

Memory

-11.2MiB live, 69.2MiB 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)

sample1.0s (10.1%)

Memory

25.3MiB live, 1 604.2MiB allocated

Samples

561.0ms	8 256×	0	valid
148.0ms	2 040×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 365.0ms

ival-mult: 123.0ms (33.7% of total)

ival-div: 96.0ms (26.3% of total)

ival-sqrt: 75.0ms (20.5% of total)

ival-add: 51.0ms (14% of total)

exact: 9.0ms (2.5% of total)

ival-true: 7.0ms (1.9% of total)

ival-assert: 4.0ms (1.1% of total)

Bogosity

preprocess76.0ms (0.8%)

Memory

-9.6MiB live, 29.2MiB 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) (fma.f64 y (sqrt.f64 z) x))

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))))

explain104.0ms (1%)

Memory

-0.9MiB live, 218.6MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

44.0ms

512×

valid

Compiler

Compiled 90 to 44 computations (51.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-sqrt: 9.0ms (40.9% of total)

ival-mult: 6.0ms (27.3% of total)

ival-div: 3.0ms (13.6% of total)

ival-add: 2.0ms (9.1% of total)

exact: 1.0ms (4.5% of total)

ival-true: 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

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(.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)

simplify9.0ms (0.1%)

Memory

-31.4MiB 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 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	cost-diff	128	(+.f64 x (*.f64 y (sqrt.f64 z)))
✓	cost-diff	704	(/.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) (fma.f64 y (sqrt.f64 z) x))
(/ 1 2)
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
2
#s(literal 2 binary64)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
x
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
y
(sqrt z)
(sqrt.f64 z)
z

localize27.0ms (0.3%)

Memory

28.7MiB live, 66.3MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

18.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

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

ival-mult: 3.0ms (35.7% of total)

ival-div: 2.0ms (23.8% of total)

ival-sqrt: 2.0ms (23.8% of total)

ival-add: 1.0ms (11.9% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.3%)

Memory

-18.8MiB live, 17.6MiB allocated

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

Time	Variable		Point	Expression
21.0ms	y	@	-inf	(* (/ 1 2) (+ x (* y (sqrt z))))
1.0ms	z	@	0	(* (/ 1 2) (+ x (* y (sqrt z))))
1.0ms	z	@	-inf	(+ x (* y (sqrt z)))
0.0ms	x	@	0	(+ x (* y (sqrt z)))
0.0ms	z	@	0	(+ x (* y (sqrt z)))

rewrite594.0ms (6%)

Memory

13.5MiB live, 608.9MiB 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)
(+ x (* y (sqrt z)))
(* (/ 1 2) (+ x (* y (sqrt z))))
(* y (sqrt z))
(sqrt z)

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

simplify550.0ms (5.6%)

Memory

17.4MiB live, 363.0MiB 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	799	646
3	2309	622
4	5074	622
5	7547	622
0	8139	566

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

eval53.0ms (0.5%)

Memory: -40.9MiB live, 112.6MiB allocated
Compiler: Compiled 12 134 to 917 computations (92.4% saved)

prune48.0ms (0.5%)

Memory

12.2MiB live, 133.9MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	368	12	380
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	369	12	381

Accuracy

100.0%

Counts

381 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.1%	(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
▶	99.6%	(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))
▶	50.8%	(fma.f64 y (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
▶	50.4%	(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
▶	48.4%	(/.f64 (.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) (-.f64 #s(literal 0 binary64) x)))
▶	99.2%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)))
	99.5%	(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
	42.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (.f64 x x)) (.f64 (.f64 y y) (neg.f64 z))) (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x))))
	99.2%	(.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)))))
	71.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (pow.f64 (*.f64 z z) #s(literal 1/4 binary64)))))
	99.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))))
	99.5%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))

Compiler

Compiled 366 to 256 computations (30.1% saved)

simplify347.0ms (3.5%)

Memory

-14.8MiB live, 259.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(fma.f64 y (sqrt.f64 z) (-.f64 #s(literal 0 binary64) x))
✓	cost-diff	0	(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
✓	cost-diff	0	(/.f64 (.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) (-.f64 #s(literal 0 binary64) x)))
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(fma.f64 y (sqrt.f64 z) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
✓	cost-diff	1024	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)))
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 y (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
✓	cost-diff	-64	(*.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	-64	(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) y))
✓	cost-diff	0	(pow.f64 z #s(literal 1/4 binary64))
✓	cost-diff	13056	(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))

Rules

3 120×	`accelerator-lowering-fma.f32`
3 120×	`accelerator-lowering-fma.f64`
2 216×	`-lowering-.f32`
2 216×	`-lowering-.f64`
1 278×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	160
1	76	150
2	135	144
3	235	144
4	421	144
5	858	144
6	2038	144
7	3875	144
8	5088	144
9	5275	144
10	5452	144
11	5457	144
12	5460	144
13	5856	144
14	5928	144
15	5928	144
16	5928	144
17	6076	144
18	6249	144
19	6265	144
20	6265	144
21	6265	144
0	6265	140

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (pow z 1/4) (* (pow z 1/4) (* 1/2 y))) (* 1/2 x))
(pow z 1/4)
z
1/4
(* (pow z 1/4) (* 1/2 y))
(* 1/2 y)
1/2
y
(* 1/2 x)
x
(+ (* x 1/2) 0)
x
1/2
0
(+ (* y (+ (* (sqrt z) 1/2) 0)) 0)
y
(+ (* (sqrt z) 1/2) 0)
(sqrt z)
z
1/2
0
(/ 1/2 (/ 1 (+ (* y (sqrt z)) x)))
1/2
(/ 1 (+ (* y (sqrt z)) x))
1
(+ (* y (sqrt z)) x)
y
(sqrt z)
z
x
(/ (* (- (* y (* y z)) (* x x)) 1/2) (+ (* y (sqrt z)) (- 0 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)) (- 0 x))
(sqrt z)
(- 0 x)
0

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

localize152.0ms (1.5%)

Memory

0.4MiB live, 244.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(fma.f64 y (sqrt.f64 z) (-.f64 #s(literal 0 binary64) x))
✓	accuracy	99.7%	(.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64))
✓	accuracy	94.6%	(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
✓	accuracy	49.5%	(/.f64 (.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) (-.f64 #s(literal 0 binary64) x)))
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.8%	(fma.f64 y (sqrt.f64 z) x)
✓	accuracy	99.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
✓	accuracy	100.0%	(fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) #s(literal 0 binary64))
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.6%	(fma.f64 y (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	99.7%	(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))
✓	accuracy	99.6%	(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) y))

Samples

59.0ms

256×

valid

Compiler

Compiled 158 to 34 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 16.0ms (41.2% of total)

ival-pow: 7.0ms (18% of total)

ival-add: 6.0ms (15.4% of total)

ival-div: 5.0ms (12.9% of total)

ival-sub: 2.0ms (5.1% of total)

ival-sqrt: 2.0ms (5.1% of total)

exact: 1.0ms (2.6% of total)

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

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

series133.0ms (1.3%)

Memory

38.9MiB live, 222.9MiB allocated

Counts

16 → 408

Calls

Call 1

Inputs
#<alt (+ (* (pow z 1/4) (* (pow z 1/4) (* 1/2 y))) (* 1/2 x))>
#<alt (pow z 1/4)>
#<alt (* (pow z 1/4) (* 1/2 y))>
#<alt (* 1/2 y)>
#<alt (+ (* x 1/2) 0)>
#<alt (+ (* y (+ (* (sqrt z) 1/2) 0)) 0)>
#<alt (+ (* (sqrt z) 1/2) 0)>
#<alt (sqrt z)>
#<alt (/ 1/2 (/ 1 (+ (* y (sqrt z)) x)))>
#<alt (/ 1 (+ (* y (sqrt z)) x))>
#<alt (+ (* y (sqrt z)) x)>
#<alt (/ (* (- (* y (* y z)) (* x x)) 1/2) (+ (* y (sqrt z)) (- 0 x)))>
#<alt (- (* y (* y z)) (* x x))>
#<alt (+ (* y (sqrt z)) (- 0 x))>
#<alt (* 1/2 x)>
#<alt (* (- (* y (* y z)) (* x x)) 1/2)>

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

Calls

102 calls:

Time	Variable		Point	Expression
27.0ms	z	@	0	(pow z 1/4)
22.0ms	y	@	0	(* (pow z 1/4) (* 1/2 y))
17.0ms	z	@	-inf	(pow z 1/4)
14.0ms	y	@	inf	(/ 1 (+ (* y (sqrt z)) x))
9.0ms	z	@	inf	(pow z 1/4)

rewrite495.0ms (5%)

Memory

8.0MiB live, 880.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 098×	`accelerator-lowering-fma.f32`
4 098×	`accelerator-lowering-fma.f64`
3 710×	`/-lowering-/.f32`
3 710×	`/-lowering-/.f64`
3 360×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	116
1	201	95
2	1761	95
0	9010	87

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1 610

Calls

Call 1

Inputs
(+ (* (pow z 1/4) (* (pow z 1/4) (* 1/2 y))) (* 1/2 x))
(pow z 1/4)
(* (pow z 1/4) (* 1/2 y))
(* 1/2 y)
(+ (* x 1/2) 0)
(+ (* y (+ (* (sqrt z) 1/2) 0)) 0)
(+ (* (sqrt z) 1/2) 0)
(sqrt z)
(/ 1/2 (/ 1 (+ (* y (sqrt z)) x)))
(/ 1 (+ (* y (sqrt z)) x))
(+ (* y (sqrt z)) x)
(/ (* (- (* y (* y z)) (* x x)) 1/2) (+ (* y (sqrt z)) (- 0 x)))
(- (* y (* y z)) (* x x))
(+ (* y (sqrt z)) (- 0 x))
(* 1/2 x)
(* (- (* y (* y z)) (* x x)) 1/2)

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

simplify780.0ms (7.9%)

Memory

-18.5MiB live, 657.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 710×	`accelerator-lowering-fma.f32`
8 710×	`accelerator-lowering-fma.f64`
5 392×	`-lowering-.f32`
5 392×	`-lowering-.f64`
2 198×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	383	4034
1	1233	3862
2	4498	3740
0	8381	3595

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

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

eval334.0ms (3.4%)

Memory: 42.1MiB live, 430.9MiB allocated
Compiler: Compiled 65 794 to 2 645 computations (96% saved)

prune462.0ms (4.7%)

Memory

-23.2MiB live, 259.3MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	2 083	9	2 092
Fresh	5	2	7
Picked	5	0	5
Done	0	0	0
Total	2 093	11	2 104

Accuracy

100.0%

Counts

2 104 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.8%	(fma.f64 y (/.f64 (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) #s(literal 0 binary64))) #s(literal 0 binary64))
	52.5%	(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 z (sqrt.f64 z)) #s(literal 0 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))) (.f64 (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)))))
	43.4%	(/.f64 (*.f64 (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64)) y) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) #s(literal 0 binary64)))
	23.8%	(/.f64 (.f64 (.f64 y (*.f64 y z)) #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) (-.f64 #s(literal 0 binary64) x)))
	50.7%	(/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
▶	50.5%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z))))
▶	99.5%	(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
	50.8%	(.f64 (.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z))
▶	50.4%	(*.f64 x #s(literal 1/2 binary64))
	90.1%	(.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 y z) x))
▶	99.5%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))

Compiler

Compiled 316 to 216 computations (31.6% saved)

simplify373.0ms (3.8%)

Memory

-29.8MiB live, 266.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 y (/.f64 (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) #s(literal 0 binary64))) #s(literal 0 binary64))
✓	cost-diff	384	(/.f64 (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) #s(literal 0 binary64)))
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(*.f64 y (sqrt.f64 z))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z)))
✓	cost-diff	1024	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z))))
✓	cost-diff	-64	(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(fma.f64 y (sqrt.f64 z) x)
✓	cost-diff	-64	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	-64	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(*.f64 y (sqrt.f64 z))
✓	cost-diff	128	(+.f64 x (*.f64 y (sqrt.f64 z)))

Rules

8 214×	`-lowering-.f32`
8 214×	`-lowering-.f64`
4 800×	`associate-r`
3 444×	`accelerator-lowering-fma.f32`
3 444×	`accelerator-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	103
1	45	99
2	96	99
3	181	99
4	297	99
5	384	99
6	634	99
7	1126	99
8	1538	99
9	2276	99
10	2471	99
11	2519	99
12	2595	99
13	2599	99
14	2599	99
15	4531	99
16	4863	99
17	4925	99
18	4929	99
19	4929	99
20	4929	99
21	4929	99
0	8199	95

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* 1/2 (+ x (* y (sqrt z))))
1/2
(+ x (* y (sqrt z)))
x
(* y (sqrt z))
y
(sqrt z)
z
(* x 1/2)
x
1/2
(* (+ (* y (sqrt z)) x) 1/2)
(+ (* y (sqrt z)) x)
y
(sqrt z)
z
x
1/2
(/ 1/2 (/ 1 (* y (sqrt z))))
1/2
(/ 1 (* y (sqrt z)))
1
(* y (sqrt z))
y
(sqrt z)
z
(+ (* y (/ (+ (* z 1/4) 0) (+ (* 1/2 (sqrt z)) 0))) 0)
y
(/ (+ (* z 1/4) 0) (+ (* 1/2 (sqrt z)) 0))
(+ (* z 1/4) 0)
z
1/4
0
(+ (* 1/2 (sqrt z)) 0)
1/2
(sqrt z)

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

localize93.0ms (0.9%)

Memory

6.7MiB live, 82.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) #s(literal 0 binary64))
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.6%	(fma.f64 y (/.f64 (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) #s(literal 0 binary64))) #s(literal 0 binary64))
✓	accuracy	99.2%	(/.f64 (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) #s(literal 0 binary64)))
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.6%	(*.f64 y (sqrt.f64 z))
✓	accuracy	99.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z))))
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z)))
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.8%	(fma.f64 y (sqrt.f64 z) x)
✓	accuracy	99.7%	(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 x #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 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	accuracy	99.6%	(*.f64 y (sqrt.f64 z))

Samples

40.0ms

256×

valid

Compiler

Compiled 112 to 25 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 9.0ms (41% of total)

ival-div: 5.0ms (22.8% of total)

ival-add: 5.0ms (22.8% of total)

ival-sqrt: 2.0ms (9.1% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

13 → 300

Calls

Call 1

Inputs
#<alt (+ x (* y (sqrt z)))>
#<alt (* y (sqrt z))>
#<alt (sqrt z)>
#<alt (* 1/2 (+ x (* y (sqrt z))))>
#<alt (* x 1/2)>
#<alt (+ (* y (sqrt z)) x)>
#<alt (* (+ (* y (sqrt z)) x) 1/2)>
#<alt (/ 1/2 (/ 1 (* y (sqrt z))))>
#<alt (/ 1 (* y (sqrt z)))>
#<alt (/ (+ (* z 1/4) 0) (+ (* 1/2 (sqrt z)) 0))>
#<alt (+ (* y (/ (+ (* z 1/4) 0) (+ (* 1/2 (sqrt z)) 0))) 0)>
#<alt (+ (* z 1/4) 0)>
#<alt (+ (* 1/2 (sqrt z)) 0)>

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

Calls

75 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	(/ (+ (* z 1/4) 0) (+ (* 1/2 (sqrt z)) 0))
1.0ms	z	@	-inf	(+ (* y (/ (+ (* z 1/4) 0) (+ (* 1/2 (sqrt z)) 0))) 0)
1.0ms	y	@	0	(/ 1 (* y (sqrt z)))
1.0ms	z	@	-inf	(/ 1 (* y (sqrt z)))
0.0ms	z	@	0	(/ 1 (* y (sqrt z)))

rewrite877.0ms (8.8%)

Memory

0.6MiB live, 545.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 688×	`accelerator-lowering-fma.f32`
9 688×	`accelerator-lowering-fma.f64`
5 890×	`-lowering-.f32`
5 890×	`-lowering-.f64`
2 806×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	74
1	127	70
2	1211	65
0	9762	61

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 2 050

Calls

Call 1

Inputs
(+ x (* y (sqrt z)))
(* y (sqrt z))
(sqrt z)
(* 1/2 (+ x (* y (sqrt z))))
(* x 1/2)
(+ (* y (sqrt z)) x)
(* (+ (* y (sqrt z)) x) 1/2)
(/ 1/2 (/ 1 (* y (sqrt z))))
(/ 1 (* y (sqrt z)))
(/ (+ (* z 1/4) 0) (+ (* 1/2 (sqrt z)) 0))
(+ (* y (/ (+ (* z 1/4) 0) (+ (* 1/2 (sqrt z)) 0))) 0)
(+ (* z 1/4) 0)
(+ (* 1/2 (sqrt z)) 0)

Outputs
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (/.f64 (.f64 y (.f64 y z)) (-.f64 (.f64 y (sqrt.f64 z)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 y (sqrt.f64 z)) x))))
(+.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y (sqrt.f64 z)))) (neg.f64 (/.f64 (.f64 y (.f64 y z)) (-.f64 x (*.f64 y (sqrt.f64 z))))))
(-.f64 (/.f64 (.f64 y (.f64 y z)) (-.f64 (.f64 y (sqrt.f64 z)) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 y (sqrt.f64 z)) x)))
(-.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)))))
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 y (pow.f64 (sqrt.f64 z) #s(literal 1 binary64)) x)
(fma.f64 y (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1 binary64)) x)
(fma.f64 y (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) x)
(fma.f64 (sqrt.f64 z) y x)
(fma.f64 (sqrt.f64 z) (neg.f64 (-.f64 #s(literal 0 binary64) y)) x)
(fma.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z)) x)
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 z))) x)
(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 z))) #s(literal -1 binary64) x)
(fma.f64 (.f64 y (.f64 y z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (sqrt.f64 z)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 y (sqrt.f64 z)) x))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 y (sqrt.f64 z)))) (neg.f64 (/.f64 (.f64 y (.f64 y z)) (-.f64 x (*.f64 y (sqrt.f64 z))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (-.f64 #s(literal 0 binary64) y) x)
(fma.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x)
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x)
(fma.f64 (pow.f64 (sqrt.f64 z) #s(literal 1 binary64)) y x)
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1 binary64)) y x)
(fma.f64 (pow.f64 (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)
(fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 z) x)
(fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) y x)
(fma.f64 (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 z))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 z))) #s(literal -1/2 binary64)) x)
(fma.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)) x)
(fma.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) y x)
(fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) y x)
(fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 z) x)
(neg.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (sqrt.f64 z)) (.f64 y (.f64 y z)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y (.f64 y z))))))
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(/.f64 (neg.f64 (*.f64 (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(/.f64 (neg.f64 (/.f64 (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64)) (sqrt.f64 z))) #s(literal -1/2 binary64))
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(/.f64 (neg.f64 (fma.f64 (*.f64 z (sqrt.f64 z)) #s(literal -1/8 binary64) #s(literal 0 binary64))) (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 z) #s(literal -1/2 binary64) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/4 binary64) #s(literal 0 binary64))) (fma.f64 (sqrt.f64 z) #s(literal -1/2 binary64) #s(literal 0 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 z)) (fma.f64 (.f64 z z) #s(literal 1/16 binary64) #s(literal 0 binary64))) (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64)))
(/.f64 (.f64 (/.f64 (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64)) (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64))) (fma.f64 (.f64 z (sqrt.f64 z)) #s(literal 1/8 binary64) #s(literal 0 binary64))) (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 z (sqrt.f64 z)) #s(literal 1/8 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 z z)) #s(literal 1/64 binary64) #s(literal 0 binary64))) (fma.f64 (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 (.f64 z z) #s(literal 1/16 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))
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(*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z)))
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(*.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
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(*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 1/4 binary64) (/.f64 z (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) #s(literal 0 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (sqrt.f64 z)))))
(*.f64 (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
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(.f64 (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) (sqrt.f64 z))))
(*.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 z) #s(literal -1/2 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal 1/64 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 (.f64 z z) #s(literal 1/16 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))
(.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal 1/64 binary64) #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) #s(literal 1/16 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 z))))
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(.f64 (fma.f64 (.f64 z z) #s(literal 1/16 binary64) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 z))))
(.f64 (fma.f64 (.f64 z (sqrt.f64 z)) #s(literal 1/8 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64))))
(*.f64 (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 z)) (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64)))
(.f64 (.f64 z (sqrt.f64 z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64)))))
(.f64 #s(literal 1/8 binary64) (.f64 (*.f64 z (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 (sqrt.f64 z) (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)))
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(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) #s(literal -1/2 binary64))
(.f64 (fma.f64 (.f64 z (sqrt.f64 z)) #s(literal -1/8 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/4 binary64) #s(literal 0 binary64))))
(*.f64 (fma.f64 z #s(literal -1/4 binary64) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (sqrt.f64 z))))
(*.f64 (/.f64 z (sqrt.f64 z)) #s(literal 1/2 binary64))
(.f64 (.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 z)))
(.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 z)) (.f64 z #s(literal 2 binary64)))
(.f64 (.f64 (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 (/.f64 (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64)) (sqrt.f64 z)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64))) (fma.f64 (.f64 z (sqrt.f64 z)) #s(literal 1/8 binary64) #s(literal 0 binary64)))
(.f64 (pow.f64 (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (.f64 (pow.f64 (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64)))))
(.f64 (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 0 binary64) z) (.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (sqrt.f64 z)))))
(.f64 #s(literal -1/4 binary64) (.f64 z (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (sqrt.f64 z)))))
(.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (sqrt.f64 z))))
(.f64 (fma.f64 (sqrt.f64 z) #s(literal 1/4 binary64) #s(literal 0 binary64)) (.f64 (sqrt.f64 z) (/.f64 #s(literal 2 binary64) (sqrt.f64 z))))
(*.f64 (/.f64 (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64)) (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64))) (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) #s(literal 0 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (sqrt.f64 z)) #s(literal 1/8 binary64) #s(literal 0 binary64))) (fma.f64 (*.f64 z z) #s(literal 1/16 binary64) #s(literal 0 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 (pow.f64 (.f64 (sqrt.f64 z) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1 binary64)) (pow.f64 (.f64 (sqrt.f64 z) #s(literal 4 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 (.f64 z z) #s(literal 1/16 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) #s(literal 1/16 binary64) #s(literal 0 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (sqrt.f64 z)) #s(literal 1/8 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64))))
(.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 z)) (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) #s(literal 0 binary64))) (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) #s(literal 0 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 z)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/4 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (sqrt.f64 z))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 z (sqrt.f64 z))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 z)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 z))) (*.f64 z #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64)) (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64)))) (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) #s(literal 0 binary64)))
(.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 z)) z) #s(literal 1/4 binary64))
(.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 z)) #s(literal 1/4 binary64)) z)
(.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 z)) (fma.f64 (*.f64 z z) #s(literal 1/16 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64))))
(.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 z)) (fma.f64 z #s(literal 1/2 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 z)) (fma.f64 (sqrt.f64 z) #s(literal 1/4 binary64) #s(literal 0 binary64))) (sqrt.f64 z))
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(.f64 (.f64 (/.f64 (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64)) (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64))) (fma.f64 (*.f64 z (sqrt.f64 z)) #s(literal 1/8 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64))))
(.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 z)) (fma.f64 (sqrt.f64 z) #s(literal 1/4 binary64) #s(literal 0 binary64)))
(.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 z)) #s(literal 1/2 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal 0 binary64)))
(.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 z)) (fma.f64 (.f64 z (.f64 z z)) #s(literal 1/64 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) #s(literal 1/16 binary64) #s(literal 0 binary64))))

simplify273.0ms (2.8%)

Memory

21.9MiB live, 452.8MiB allocated

Algorithm

1×	egg-herbie

Rules

5 066×	`accelerator-lowering-fma.f32`
5 066×	`accelerator-lowering-fma.f64`
3 874×	`-lowering-.f32`
3 874×	`-lowering-.f64`
1 956×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	1820
1	262	1772
2	815	1772
3	2363	1724
4	5102	1724
5	7581	1724
0	8009	1612

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

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

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

eval617.0ms (6.2%)

Memory: -123.2MiB live, 673.5MiB allocated
Compiler: Compiled 48 027 to 3 296 computations (93.1% saved)

prune339.0ms (3.4%)

Memory

11.1MiB live, 564.6MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	2 475	7	2 482
Fresh	6	0	6
Picked	2	3	5
Done	0	0	0
Total	2 483	10	2 493

Accuracy

100.0%

Counts

2 493 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.4%	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64))) (sqrt.f64 z))
▶	50.8%	(/.f64 y (/.f64 #s(literal 2 binary64) (sqrt.f64 z)))
✓	99.5%	(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
▶	50.8%	(.f64 (/.f64 z (sqrt.f64 z)) (.f64 #s(literal 1/2 binary64) y))
▶	43.3%	(.f64 (.f64 y z) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
	28.0%	(.f64 (.f64 y y) (.f64 (fma.f64 z #s(literal 1/4 binary64) #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))))
▶	50.8%	(.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))
▶	44.8%	(.f64 z (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y))
✓	50.4%	(*.f64 x #s(literal 1/2 binary64))
✓	99.5%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))

Compiler

Compiled 197 to 148 computations (24.9% saved)

simplify7.0ms (0.1%)

Memory

26.0MiB live, 26.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (sqrt.f64 z))
✓	cost-diff	384	(/.f64 y (/.f64 #s(literal 2 binary64) (sqrt.f64 z)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(/.f64 z (sqrt.f64 z))
✓	cost-diff	0	(.f64 (/.f64 z (sqrt.f64 z)) (.f64 #s(literal 1/2 binary64) y))
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(.f64 (.f64 y z) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)
✓	cost-diff	0	(.f64 z (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y))
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(*.f64 y #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))

Rules

100×	`-lowering-.f32`
100×	`-lowering-.f64`
36×	`*-commutative`
28×	`associate-r`
26×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	92
1	39	92
2	67	92
3	83	92
4	88	92
0	88	92

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize76.0ms (0.8%)

Memory

-23.1MiB live, 143.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.6%	(/.f64 y (/.f64 #s(literal 2 binary64) (sqrt.f64 z)))
✓	accuracy	99.6%	(/.f64 #s(literal 2 binary64) (sqrt.f64 z))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.6%	(.f64 (/.f64 z (sqrt.f64 z)) (.f64 #s(literal 1/2 binary64) y))
✓	accuracy	99.3%	(/.f64 z (sqrt.f64 z))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.6%	(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
✓	accuracy	87.1%	(.f64 (.f64 y z) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)
✓	accuracy	99.6%	(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
✓	accuracy	86.9%	(.f64 z (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y))
✓	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.6%	(.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))

Samples

48.0ms

256×

valid

Compiler

Compiled 94 to 20 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 11.0ms (49.6% of total)

ival-div: 6.0ms (27% of total)

ival-sqrt: 4.0ms (18% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.1%)

Memory

-22.0MiB live, 20.6MiB allocated

Counts

13 → 240

Calls

Call 1

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

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

Calls

60 calls:

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

rewrite392.0ms (4%)

Memory

3.5MiB live, 604.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 774×	`-lowering-.f32`
2 774×	`-lowering-.f64`
2 488×	`accelerator-lowering-fma.f32`
2 488×	`accelerator-lowering-fma.f64`
1 906×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	57
1	67	57
2	282	57
3	1468	57
4	5722	57
0	8151	57

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 1 066

Calls

Call 1

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

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

simplify314.0ms (3.2%)

Memory

3.3MiB live, 281.0MiB allocated

Algorithm

1×	egg-herbie

Rules

2 736×	`associate-r`
1 824×	`-lowering-.f32`
1 824×	`-lowering-.f64`
1 824×	`accelerator-lowering-fma.f32`
1 824×	`accelerator-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	1248
1	50	1248
2	95	1248
3	212	1248
4	672	1248
5	1171	1248
6	1946	1248
7	2305	1248
8	2909	1248
9	3020	1248
10	3063	1248
11	3088	1248
12	3111	1248
13	3130	1248
14	3156	1248
15	3167	1248
16	3168	1248
17	3168	1248
18	3168	1248
19	3538	1248
20	5047	1248
21	5517	1248
22	5964	1248
23	6299	1248
24	6424	1248
25	6576	1248
26	6857	1248
27	6879	1248
28	6879	1248
29	6879	1248
0	6879	1248

Stop Event

1×	iter limit
1×	saturated

Counts

240 → 240

Calls

Call 1

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

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

eval271.0ms (2.7%)

Memory: 23.3MiB live, 358.3MiB allocated
Compiler: Compiled 20 400 to 2 014 computations (90.1% saved)

prune157.0ms (1.6%)

Memory

33.0MiB live, 308.3MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	1 760	3	1 763
Fresh	2	0	2
Picked	1	4	5
Done	0	3	3
Total	1 763	10	1 773

Accuracy

100.0%

Counts

1 773 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.4%	(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 z))
	50.8%	(/.f64 y (/.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) z))
✓	50.8%	(/.f64 y (/.f64 #s(literal 2 binary64) (sqrt.f64 z)))
✓	99.5%	(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
✓	50.8%	(.f64 (/.f64 z (sqrt.f64 z)) (.f64 #s(literal 1/2 binary64) y))
✓	50.8%	(.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))
	44.8%	(.f64 z (.f64 (/.f64 (sqrt.f64 z) (*.f64 #s(literal 2 binary64) z)) y))
✓	44.8%	(.f64 z (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y))
✓	50.4%	(*.f64 x #s(literal 1/2 binary64))
✓	99.5%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))

Compiler

Compiled 462 to 188 computations (59.3% saved)

regimes73.0ms (0.7%)

Memory

-3.4MiB live, 114.0MiB allocated

Counts

32 → 1

Calls

Call 1

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

Outputs
(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))

Calls

7 calls:

12.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
11.0ms	(sqrt.f64 z)
11.0ms	y
9.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
9.0ms	z

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`z`
99.6%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
99.6%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
99.6%	1	`(*.f64 y (sqrt.f64 z))`
99.6%	1	`(sqrt.f64 z)`

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes77.0ms (0.8%)

Memory

-54.6MiB live, 95.6MiB allocated

Counts

30 → 1

Calls

Call 1

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

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

Calls

7 calls:

18.0ms	x
11.0ms	(sqrt.f64 z)
11.0ms	(*.f64 y (sqrt.f64 z))
9.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
9.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
99.5%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
99.5%	1	`(*.f64 y (sqrt.f64 z))`
99.5%	1	`y`
99.5%	1	`z`
99.5%	1	`(sqrt.f64 z)`

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes16.0ms (0.2%)

Memory

29.0MiB live, 29.0MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
(*.f64 x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z))
(.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))

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

Calls

7 calls:

2.0ms	z
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
2.0ms	(sqrt.f64 z)
2.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
2.0ms	x

Results

Accuracy	Segments	Branch
78.1%	3	`x`
77.7%	5	`y`
65.2%	4	`z`
71.7%	9	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
71.7%	9	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
77.1%	3	`(*.f64 y (sqrt.f64 z))`
65.2%	4	`(sqrt.f64 z)`

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes14.0ms (0.1%)

Memory

-15.4MiB live, 22.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))

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

Calls

7 calls:

4.0ms	y
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
2.0ms	(sqrt.f64 z)
1.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
1.0ms	x

Results

Accuracy	Segments	Branch
50.4%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
50.4%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
50.4%	1	`z`
50.4%	1	`(sqrt.f64 z)`
50.4%	1	`y`
50.4%	1	`(*.f64 y (sqrt.f64 z))`
50.4%	1	`x`

Compiler

Compiled 46 to 34 computations (26.1% saved)

bsearch23.0ms (0.2%)

Memory

23.0MiB live, 23.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	5.275112978637961e-28	1.506279731263073e-24
10.0ms	-1992.7027301271464	-52.192490894337666

Samples

13.0ms

240×

valid

Compiler

Compiled 271 to 226 computations (16.6% saved)

Precisions

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

ival-mult: 3.0ms (40.4% of total)

ival-div: 2.0ms (27% of total)

ival-sqrt: 2.0ms (27% of total)

ival-add: 1.0ms (13.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify42.0ms (0.4%)

Memory

-28.0MiB live, 9.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
2×	`if-if-or-not_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	42
1	29	42

Stop Event

1×

saturated

Calls

Call 1

Inputs
(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))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(if (<=.f64 x #s(literal -1350 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 x #s(literal 212553977673495/348449143727040986586495598010130648530944 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z)) (.f64 x #s(literal 1/2 binary64))))
(*.f64 x #s(literal 1/2 binary64))

Outputs
(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))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(if (<=.f64 x #s(literal -1350 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 x #s(literal 212553977673495/348449143727040986586495598010130648530944 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z)) (.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -1350 binary64)) (.f64 #s(literal 1/2 binary64) x) (if (<=.f64 x #s(literal 212553977673495/348449143727040986586495598010130648530944 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z)) (.f64 #s(literal 1/2 binary64) x)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)

soundness577.0ms (5.8%)

Memory

21.3MiB live, 410.8MiB allocated

Rules

7 460×	`accelerator-lowering-fma.f32`
7 460×	`accelerator-lowering-fma.f64`
5 642×	`accelerator-lowering-fma.f32`
5 642×	`accelerator-lowering-fma.f64`
4 298×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	646
1	251	646
2	799	646
3	2309	622
4	5074	622
5	7547	622
0	8139	566
0	11	21
1	36	21
2	225	21
3	2010	21
0	8167	19
0	32	116
1	201	95
2	1761	95
0	9010	87

Stop Event

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

Compiler

Compiled 106 to 67 computations (36.8% saved)

preprocess34.0ms (0.3%)

Memory: -1.2MiB live, 75.5MiB allocated
Compiler: Compiled 120 to 60 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze48.0ms (0.5%)

sample1.0s (10.1%)

preprocess76.0ms (0.8%)

explain104.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.1%)

localize27.0ms (0.3%)

series28.0ms (0.3%)

rewrite594.0ms (6%)

simplify550.0ms (5.6%)

eval53.0ms (0.5%)

prune48.0ms (0.5%)

simplify347.0ms (3.5%)

localize152.0ms (1.5%)

series133.0ms (1.3%)

rewrite495.0ms (5%)

simplify780.0ms (7.9%)

eval334.0ms (3.4%)

prune462.0ms (4.7%)

simplify373.0ms (3.8%)

localize93.0ms (0.9%)

series9.0ms (0.1%)

rewrite877.0ms (8.8%)

simplify273.0ms (2.8%)

eval617.0ms (6.2%)

prune339.0ms (3.4%)

simplify7.0ms (0.1%)

localize76.0ms (0.8%)

series13.0ms (0.1%)

rewrite392.0ms (4%)

simplify314.0ms (3.2%)

eval271.0ms (2.7%)

prune157.0ms (1.6%)

regimes73.0ms (0.7%)

regimes77.0ms (0.8%)

regimes16.0ms (0.2%)

regimes14.0ms (0.1%)

bsearch23.0ms (0.2%)

simplify42.0ms (0.4%)

soundness577.0ms (5.8%)

preprocess34.0ms (0.3%)

end0.0ms (0%)

Profiling