Metrics for Data.Array.Repa.Algorithms.ColorRamp:rampColorHotToCold from repa-algorithms-3.4.0.1, C

analyze40.0ms (0.4%)

Memory

24.9MiB live, 104.4MiB 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
50%	49.9%	49.9%	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
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
93.8%	93.6%	6.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample1.9s (18.4%)

Memory

20.5MiB live, 1 796.7MiB allocated

Samples

1.6s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 968.0ms

ival-mult: 406.0ms (41.9% of total)

ival-add: 387.0ms (40% of total)

ival-div: 101.0ms (10.4% of total)

ival-sub: 54.0ms (5.6% of total)

exact: 10.0ms (1% of total)

ival-true: 6.0ms (0.6% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess297.0ms (2.9%)

Memory

-0.7MiB live, 350.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 292×	`lower-fma.f64`
7 292×	`lower-fma.f32`
2 920×	`lower-/.f32`
2 918×	`lower-/.f64`
2 674×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	130
1	124	117
2	374	117
3	1076	101
4	3227	85
5	7480	85
0	12	13
0	18	13
1	30	13
2	58	13
3	110	13
4	211	11
5	474	9
6	1472	9
7	4626	9
0	8107	8

Stop Event

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

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))

Outputs

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

(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 2 binary64))

explain141.0ms (1.4%)

Memory

-0.4MiB live, 221.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
2	-	-	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`
0	-	-	`(+.f64 x (*.f64 y #s(literal 1/4 binary64)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 y #s(literal 1/4 binary64))`
0	-	-	`#s(literal 1/4 binary64)`
0	-	-	`z`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`(.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z))`
0	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
0	-	-	`y`
0	-	-	`(-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`	o/n	2	0
↳	`(.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z))`	overflow	4

Confusion

	Predicted +	Predicted -
+	2	0
-	0	254

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	0	0	254

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms

512×

valid

Compiler

Compiled 144 to 52 computations (63.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

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

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

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

ival-sub: 2.0ms (9.4% of total)

exact: 1.0ms (4.7% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))

Compiler

Compiled 16 to 12 computations (25% saved)

simplify251.0ms (2.5%)

Memory

-5.7MiB live, 267.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)
✓	cost-diff	128	(+.f64 x (*.f64 y #s(literal 1/4 binary64)))
✓	cost-diff	192	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))
✓	cost-diff	320	(.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z))

Rules

7 292×	`lower-fma.f64`
7 292×	`lower-fma.f32`
2 920×	`lower-/.f32`
2 918×	`lower-/.f64`
2 674×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	54
0	18	54
1	30	54
2	58	54
3	110	54
4	211	48
5	474	46
6	1472	46
7	4626	46
0	8107	41

Stop Event

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

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))
#s(literal 1 binary64)
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)
(.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z))
#s(literal 4 binary64)
(-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)
(+.f64 x (*.f64 y #s(literal 1/4 binary64)))
x
(*.f64 y #s(literal 1/4 binary64))
y
#s(literal 1/4 binary64)
z

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

localize42.0ms (0.4%)

Memory

-1.5MiB live, 36.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y #s(literal 1/4 binary64))
✓	accuracy	100.0%	(.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))
✓	accuracy	99.2%	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)

Samples

18.0ms

256×

valid

Compiler

Compiled 56 to 14 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 3.0ms (32.9% of total)

ival-div: 2.0ms (21.9% of total)

ival-add: 2.0ms (21.9% of total)

ival-sub: 1.0ms (11% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

5 → 144

Calls

Call 1

Inputs
#<alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))>
#<alt (+.f64 x (*.f64 y #s(literal 1/4 binary64)))>
#<alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)>
#<alt (*.f64 y #s(literal 1/4 binary64))>

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

Calls

36 calls:

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

simplify630.0ms (6.2%)

Memory

7.1MiB live, 524.3MiB allocated

Algorithm

1×	egg-herbie

Rules

16 484×	`lower-fma.f64`
16 484×	`lower-fma.f32`
5 278×	`lower-*.f64`
5 278×	`lower-*.f32`
2 388×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	1280
1	360	1259
2	961	1020
3	3605	976
0	8398	865

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 139

Calls

Call 1

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

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

rewrite488.0ms (4.8%)

Memory

-16.0MiB live, 579.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 902×	`lower-fma.f64`
6 902×	`lower-fma.f32`
5 372×	`lower-*.f32`
5 368×	`lower-*.f64`
3 676×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
0	18	41
1	74	41
2	629	41
0	8480	36

Stop Event

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

Counts

5 → 335

Calls

Call 1

Inputs
(.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))
(+.f64 x (*.f64 y #s(literal 1/4 binary64)))
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)
(*.f64 y #s(literal 1/4 binary64))

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

eval65.0ms (0.6%)

Memory: 13.5MiB live, 92.1MiB allocated
Compiler: Compiled 12 519 to 1 390 computations (88.9% saved)

prune59.0ms (0.6%)

Memory

-13.1MiB live, 108.3MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	466	8	474
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	467	8	475

Accuracy

100.0%

Counts

475 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)))
▶	63.6%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))
	69.4%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
▶	99.2%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y))
	68.6%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)))
▶	33.3%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))
	39.1%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))
▶	32.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Compiler

Compiled 160 to 108 computations (32.5% saved)

simplify284.0ms (2.8%)

Memory

7.7MiB live, 397.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

9 574×	`lower-fma.f32`
9 568×	`lower-fma.f64`
3 278×	`lower-*.f32`
3 274×	`lower-*.f64`
1 832×	`lower-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	28	173
0	41	178
1	68	178
2	106	178
3	184	178
4	320	166
5	593	148
6	1748	148
7	4892	148
0	8262	148

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(-.f64 x z)
x
z
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
#s(literal 2 binary64)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))
(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
x
(*.f64 #s(literal 1/4 binary64) y)
#s(literal 1/4 binary64)
y
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
#s(literal 4 binary64)
(/.f64 x y)
x
y
#s(literal 2 binary64)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y))
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y)
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64)))
#s(literal 4 binary64)
(-.f64 x z)
x
z
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)

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

localize77.0ms (0.8%)

Memory

25.6MiB live, 143.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y))
✓	accuracy	99.2%	(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y)
✓	accuracy	100.0%	(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	63.6%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
✓	accuracy	100.0%	(*.f64 #s(literal 1/4 binary64) y)
✓	accuracy	33.3%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))
✓	accuracy	32.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 4 binary64) y)
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)))
✓	accuracy	99.8%	(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))

Samples

46.0ms

256×

valid

Compiler

Compiled 144 to 28 computations (80.6% saved)

Precisions

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

ival-mult: 10.0ms (33% of total)

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

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

ival-sub: 2.0ms (6.6% of total)

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

exact: 0.0ms (0% of total)

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

series22.0ms (0.2%)

Memory

0.1MiB live, 38.4MiB allocated

Counts

15 → 420

Calls

Call 1

Inputs
#<alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)))>
#<alt (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))>
#<alt (-.f64 x z)>
#<alt (/.f64 #s(literal 4 binary64) y)>
#<alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))>
#<alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))>
#<alt (/.f64 x (*.f64 #s(literal 1/4 binary64) y))>
#<alt (*.f64 #s(literal 1/4 binary64) y)>
#<alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))>
#<alt (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))>
#<alt (/.f64 x y)>
#<alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y))>
#<alt (/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y)>
#<alt (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 y #s(literal 2 binary64))>

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

Calls

105 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(+ (* 4 (/ x y)) 2)
2.0ms	y	@	inf	(+ (* (- x z) (/ 4 y)) 2)
1.0ms	x	@	inf	(/ x (* 1/4 y))
0.0ms	x	@	0	(/ (+ (* 4 (- x z)) (* y 2)) y)
0.0ms	y	@	0	(/ x (* 1/4 y))

simplify486.0ms (4.8%)

Memory

-19.8MiB live, 470.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 632×	`lower-fma.f64`
10 632×	`lower-fma.f32`
3 400×	`lower-*.f64`
3 400×	`lower-*.f32`
2 102×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	4107
1	419	4107
2	1153	3144
3	3321	3057
4	6510	3015
0	8312	2747

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 417

Calls

Call 1

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

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

rewrite541.0ms (5.3%)

Memory

-0.8MiB live, 509.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 722×	`lower-/.f32`
4 714×	`lower-/.f64`
4 680×	`lower-fma.f32`
4 674×	`lower-fma.f64`
4 278×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	152
0	41	152
1	180	152
2	1398	152
0	8152	142

Stop Event

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

Counts

15 → 348

Calls

Call 1

Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(-.f64 x z)
(/.f64 #s(literal 4 binary64) y)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))
(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
(*.f64 #s(literal 1/4 binary64) y)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y))
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y)
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))

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

eval291.0ms (2.9%)

Memory: 28.0MiB live, 185.2MiB allocated
Compiler: Compiled 12 418 to 968 computations (92.2% saved)

prune97.0ms (0.9%)

Memory

-31.4MiB live, 128.2MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	820	1	821
Fresh	0	3	3
Picked	2	3	5
Done	0	0	0
Total	822	7	829

Accuracy

100.0%

Counts

829 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
✓	63.6%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))
▶	69.4%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
▶	68.6%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)))
✓	33.3%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))
▶	39.1%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))
✓	32.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Compiler

Compiled 66 to 45 computations (31.8% saved)

simplify316.0ms (3.1%)

Memory

15.4MiB live, 379.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

7 862×	`lower-fma.f32`
7 858×	`lower-fma.f64`
2 924×	`lower-*.f32`
2 920×	`lower-*.f64`
1 784×	`lower-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	26	144
0	35	149
1	65	149
2	107	149
3	186	149
4	367	139
5	790	124
6	2033	124
7	5681	124
0	8103	124

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
#s(literal -4 binary64)
(/.f64 z y)
z
y
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)))
(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))
(-.f64 x z)
x
z
(*.f64 #s(literal 1/4 binary64) y)
#s(literal 1/4 binary64)
y
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
#s(literal -4 binary64)
(/.f64 z y)
z
y
#s(literal 2 binary64)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
(/.f64 (-.f64 x z) y)
(-.f64 x z)
x
z
y
#s(literal 4 binary64)
#s(literal 2 binary64)

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

localize69.0ms (0.7%)

Memory

4.1MiB live, 156.2MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 (-.f64 x z) y)
✓	accuracy	100.0%	(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	69.4%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	(*.f64 #s(literal 1/4 binary64) y)
✓	accuracy	100.0%	(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))
✓	accuracy	68.6%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)))
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	100.0%	(*.f64 #s(literal -4 binary64) (/.f64 z y))
✓	accuracy	39.1%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))

Samples

43.0ms

256×

valid

Compiler

Compiled 118 to 25 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 8.0ms (33.8% of total)

ival-div: 7.0ms (29.6% of total)

ival-sub: 4.0ms (16.9% of total)

ival-add: 4.0ms (16.9% of total)

exact: 1.0ms (4.2% of total)

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

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

series13.0ms (0.1%)

Memory

-11.5MiB live, 23.9MiB allocated

Counts

12 → 360

Calls

Call 1

Inputs
#<alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (/.f64 z y)>
#<alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)))>
#<alt (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))>
#<alt (-.f64 x z)>
#<alt (*.f64 #s(literal 1/4 binary64) y)>
#<alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))>
#<alt (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))>
#<alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))>
#<alt (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))>
#<alt (/.f64 (-.f64 x z) y)>

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

Calls

90 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(* -4 (/ z y))
0.0ms	y	@	inf	(* -4 (/ z y))
0.0ms	z	@	inf	(* -4 (/ z y))
0.0ms	z	@	0	(* -4 (/ z y))
0.0ms	y	@	0	(/ (- x z) (* 1/4 y))

simplify495.0ms (4.8%)

Memory

-1.7MiB live, 563.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 942×	`lower-fma.f64`
11 942×	`lower-fma.f32`
3 256×	`lower-*.f64`
3 256×	`lower-*.f32`
1 648×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	3270
1	423	3180
2	1223	2452
3	3525	2418
4	6413	2408
0	8113	2233

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 357

Calls

Call 1

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

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

rewrite524.0ms (5.1%)

Memory

-5.8MiB live, 576.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 874×	`lower-/.f32`
4 868×	`lower-/.f64`
4 294×	`lower-fma.f32`
4 290×	`lower-fma.f64`
4 038×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	122
0	35	122
1	159	122
2	1250	122
0	8171	114

Stop Event

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

Counts

12 → 457

Calls

Call 1

Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(/.f64 z y)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)))
(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))
(-.f64 x z)
(*.f64 #s(literal 1/4 binary64) y)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
(/.f64 (-.f64 x z) y)

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

eval107.0ms (1%)

Memory: 16.7MiB live, 285.8MiB allocated
Compiler: Compiled 14 229 to 1 350 computations (90.5% saved)

prune230.0ms (2.3%)

Memory

-28.7MiB live, 151.9MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	923	1	924
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	923	8	931

Accuracy

100.0%

Counts

931 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
✓	63.6%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))
✓	69.4%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
✓	68.6%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)))
✓	33.3%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))
▶	68.5%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
✓	39.1%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))
✓	32.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Compiler

Compiled 77 to 52 computations (32.5% saved)

simplify249.0ms (2.4%)

Memory

31.4MiB live, 381.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f64 x z)
✓	cost-diff	(/.f64 #s(literal 4 binary64) y)
✓	cost-diff	(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
✓	cost-diff	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))

Rules

8 194×	`lower-fma.f64`
8 194×	`lower-fma.f32`
2 668×	`lower-*.f32`
2 666×	`lower-*.f64`
2 288×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	38
0	19	38
1	35	38
2	72	38
3	136	38
4	260	36
5	509	34
6	1568	34
7	4354	34
8	7188	34
0	8031	33

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
(-.f64 x z)
x
z

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

localize35.0ms (0.3%)

Memory

-4.4MiB live, 33.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 4 binary64) y)
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
✓	accuracy	68.6%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))

Samples

24.0ms

256×

valid

Compiler

Compiled 32 to 17 computations (46.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 7.0ms (43.5% of total)

ival-div: 3.0ms (18.6% of total)

ival-sub: 2.0ms (12.4% of total)

ival-add: 2.0ms (12.4% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Counts

4 → 108

Calls

Call 1

Inputs
#<alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))>
#<alt (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))>
#<alt (/.f64 #s(literal 4 binary64) y)>
#<alt (-.f64 x z)>

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

Calls

27 calls:

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

simplify262.0ms (2.6%)

Memory

-20.1MiB live, 456.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 138×	`lower-fma.f64`
8 138×	`lower-fma.f32`
3 098×	`lower-*.f64`
3 098×	`lower-*.f32`
1 664×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	795
1	285	795
2	792	707
3	2496	657
4	5016	655
0	8135	623

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 105

Calls

Call 1

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

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

rewrite568.0ms (5.6%)

Memory

-8.7MiB live, 514.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 818×	`lower-fma.f64`
7 818×	`lower-fma.f32`
5 406×	`lower-*.f32`
5 404×	`lower-*.f64`
3 198×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	34
0	19	34
1	93	34
2	820	34
0	8601	32

Stop Event

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

Counts

4 → 205

Calls

Call 1

Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(/.f64 #s(literal 4 binary64) y)
(-.f64 x z)

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

eval78.0ms (0.8%)

Memory: 17.2MiB live, 59.4MiB allocated
Compiler: Compiled 4 986 to 546 computations (89% saved)

prune141.0ms (1.4%)

Memory

-14.9MiB live, 63.1MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	310	0	310
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	310	8	318

Accuracy

100.0%

Counts

318 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
✓	63.6%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))
✓	69.4%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
✓	68.6%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)))
✓	33.3%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))
✓	68.5%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
✓	39.1%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))
✓	32.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Compiler

Compiled 166 to 83 computations (50% saved)

regimes71.0ms (0.7%)

Memory

-0.8MiB live, 37.9MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))

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

Calls

5 calls:

55.0ms	x
4.0ms	y
4.0ms	z
4.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)
4.0ms	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
100.0%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes17.0ms (0.2%)

Memory

32.0MiB live, 32.0MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)))

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

Calls

5 calls:

4.0ms	y
3.0ms	z
3.0ms	x
3.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)
3.0ms	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
99.8%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes63.0ms (0.6%)

Memory

-20.1MiB live, 24.3MiB allocated

Counts

7 → 3

Calls

Call 1

Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)))

Outputs

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)))

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)))

Calls

5 calls:

50.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)
3.0ms	y
3.0ms	z
3.0ms	x
3.0ms	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))

Results

Accuracy	Segments	Branch
92.0%	4	`x`
87.8%	3	`y`
87.8%	3	`z`
98.6%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
98.6%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes6.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))

Outputs

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))

Calls

2 calls:

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
98.5%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
98.5%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes31.0ms (0.3%)

Memory

-23.1MiB live, 15.3MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))

Outputs

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))

Calls

3 calls:

25.0ms

2.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
90.1%	3	`x`
71.5%	2	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
71.5%	2	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes7.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))

Outputs

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))

Calls

3 calls:

2.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
74.4%	3	`z`
69.4%	1	`y`
83.7%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))

Outputs

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))

Calls

5 calls:

2.0ms	z
2.0ms	x
2.0ms	y
2.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)
2.0ms	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))

Results

Accuracy	Segments	Branch
59.0%	4	`y`
69.2%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
69.2%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`
60.2%	4	`z`
59.2%	3	`x`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes4.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))

Outputs

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))

Calls

2 calls:

2.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
68.2%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
68.2%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes22.0ms (0.2%)

Memory

-25.5MiB live, 13.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Calls

5 calls:

17.0ms	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))
1.0ms	x
1.0ms	y
1.0ms	z
1.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)

Results

Accuracy	Segments	Branch
32.0%	1	`y`
32.0%	1	`z`
32.0%	1	`x`
32.0%	1	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
32.0%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	816.9280034709133	72086017.56294276
0.0ms	-24619262828763.395	-265914915310.28635

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	816.9280034709133	72086017.56294276
0.0ms	-24619262828763.395	-265914915310.28635

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch40.0ms (0.4%)

Memory

-4.7MiB live, 72.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.405494405358198e+71	3.287812011057961e+79
14.0ms	-2.792167345618042e+33	-6.587998470964687e+24

Samples

22.0ms

288×

valid

Compiler

Compiled 415 to 306 computations (26.3% saved)

Precisions

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

ival-mult: 4.0ms (38.1% of total)

ival-add: 3.0ms (28.6% of total)

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

ival-sub: 1.0ms (9.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch27.0ms (0.3%)

Memory

24.4MiB live, 61.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.9217023158027883e+182	2.6972417899445333e+184
12.0ms	-4.549597280874196e+201	-1.1314481593923883e+198

Samples

16.0ms

240×

valid

Compiler

Compiled 334 to 243 computations (27.2% saved)

Precisions

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

ival-div: 3.0ms (30% of total)

ival-mult: 3.0ms (30% of total)

ival-add: 2.0ms (20% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0018378027631507	816.9280034709133
0.0ms	-8873237147.546577	0.8957002430234869

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0018378027631507	816.9280034709133
0.0ms	-8873237147.546577	0.8957002430234869

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify13.0ms (0.1%)

Memory

-6.3MiB live, 29.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
8×	`+-commutative_binary64`
6×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	535
1	80	535
2	85	535
3	87	535
4	88	535

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -20000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (.f64 #s(literal 1/4 binary64) y))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 1000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -20000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 1000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))))
(if (<=.f64 x #s(literal -12500000000000000670770275549184 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) (if (<=.f64 x #s(literal 269999999999999996596054710024560608687555683349923173708829909225308160 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -1150000000000000026805097711131899356387910726859637940687581792264691848144391899890070835512982054225166655550296785285256781349829320353556131139757298367021088834192217616313018269926535389511680 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (.f64 #s(literal 1/4 binary64) y))) (if (<=.f64 x #s(literal 219999999999999996506414853641471942606976556920125747320570886529954272501577598022434060772226190389900817865293932345789820592497512943723935316937675458940324439088317701159911424 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -5000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (.f64 #s(literal 1/4 binary64) y))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -5000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 #s(literal -4 binary64) (/.f64 z y))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -20000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (.f64 #s(literal 1/4 binary64) y))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 1000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -20000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (.f64 y #s(literal 1/4 binary64)))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 1000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64))))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -20000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 1000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -20000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 1000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)))))
(if (<=.f64 x #s(literal -12500000000000000670770275549184 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) (if (<=.f64 x #s(literal 269999999999999996596054710024560608687555683349923173708829909225308160 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -1150000000000000026805097711131899356387910726859637940687581792264691848144391899890070835512982054225166655550296785285256781349829320353556131139757298367021088834192217616313018269926535389511680 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (.f64 #s(literal 1/4 binary64) y))) (if (<=.f64 x #s(literal 219999999999999996506414853641471942606976556920125747320570886529954272501577598022434060772226190389900817865293932345789820592497512943723935316937675458940324439088317701159911424 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))))
(if (<=.f64 x #s(literal -1150000000000000026805097711131899356387910726859637940687581792264691848144391899890070835512982054225166655550296785285256781349829320353556131139757298367021088834192217616313018269926535389511680 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (.f64 y #s(literal 1/4 binary64)))) (if (<=.f64 x #s(literal 219999999999999996506414853641471942606976556920125747320570886529954272501577598022434060772226190389900817865293932345789820592497512943723935316937675458940324439088317701159911424 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 y #s(literal 1/4 binary64))))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -5000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (.f64 #s(literal 1/4 binary64) y))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -5000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (.f64 y #s(literal 1/4 binary64)))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -5000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 #s(literal -4 binary64) (/.f64 z y))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

soundness973.0ms (9.5%)

Memory

10.6MiB live, 646.2MiB allocated

Rules

16 484×	`lower-fma.f64`
16 484×	`lower-fma.f32`
11 942×	`lower-fma.f64`
11 942×	`lower-fma.f32`
5 278×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	3270
1	423	3180
2	1223	2452
3	3525	2418
4	6413	2408
0	8113	2233
0	28	152
0	41	152
1	180	152
2	1398	152
0	8152	142
0	120	1280
1	360	1259
2	961	1020
3	3605	976
0	8398	865

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 364 to 130 computations (64.3% saved)

preprocess133.0ms (1.3%)

Memory: 0.8MiB live, 212.8MiB allocated
Compiler: Compiled 562 to 126 computations (77.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze40.0ms (0.4%)

sample1.9s (18.4%)

preprocess297.0ms (2.9%)

explain141.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify251.0ms (2.5%)

localize42.0ms (0.4%)

series11.0ms (0.1%)

simplify630.0ms (6.2%)

rewrite488.0ms (4.8%)

eval65.0ms (0.6%)

prune59.0ms (0.6%)

simplify284.0ms (2.8%)

localize77.0ms (0.8%)

series22.0ms (0.2%)

simplify486.0ms (4.8%)

rewrite541.0ms (5.3%)

eval291.0ms (2.9%)

prune97.0ms (0.9%)

simplify316.0ms (3.1%)

localize69.0ms (0.7%)

series13.0ms (0.1%)

simplify495.0ms (4.8%)

rewrite524.0ms (5.1%)

eval107.0ms (1%)

prune230.0ms (2.3%)

simplify249.0ms (2.4%)

localize35.0ms (0.3%)

series2.0ms (0%)

simplify262.0ms (2.6%)

rewrite568.0ms (5.6%)

eval78.0ms (0.8%)

prune141.0ms (1.4%)

regimes71.0ms (0.7%)

regimes17.0ms (0.2%)

regimes63.0ms (0.6%)

regimes6.0ms (0.1%)

regimes31.0ms (0.3%)

regimes7.0ms (0.1%)

regimes10.0ms (0.1%)

regimes4.0ms (0%)

regimes22.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch40.0ms (0.4%)

bsearch27.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify13.0ms (0.1%)

soundness973.0ms (9.5%)

preprocess133.0ms (1.3%)

end0.0ms (0%)

Profiling