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

analyze64.0ms (0.9%)

Memory

-8.3MiB live, 66.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	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
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample931.0ms (13.1%)

Memory

0.4MiB live, 1 007.1MiB allocated

Samples

601.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 355.0ms

ival-mult: 159.0ms (44.8% of total)

ival-sub: 101.0ms (28.5% of total)

ival-div: 78.0ms (22% of total)

exact: 8.0ms (2.3% of total)

ival-true: 6.0ms (1.7% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

preprocess278.0ms (3.9%)

Memory

12.8MiB live, 250.6MiB allocated

Algorithm

1×	egg-herbie

Rules

2 736×	`lower-fma.f64`
2 736×	`lower-fma.f32`
1 156×	`div-sub`
1 152×	`lower-*.f32`
1 148×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	109
1	126	101
2	405	99
3	1525	81
4	5505	81
0	10	11
0	15	11
1	28	11
2	68	11
3	169	9
4	409	9
5	976	9
6	2577	9
7	4574	9
8	4888	9
9	4898	9
10	4907	9
11	4907	9
12	5219	9
13	5428	9
14	5444	9
15	5444	9
16	5444	9
17	5476	9
18	5583	9
0	5583	8

Stop Event

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

Calls

Call 1

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

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

explain129.0ms (1.8%)

Memory

-28.5MiB live, 258.1MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`	o/n	3	0
↳	`(.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))))`	overflow	3

Confusion

	Predicted +	Predicted -
+	3	0
-	0	253

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	0
-	0	0	253

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	253
1	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

66.0ms

512×

valid

Compiler

Compiled 108 to 44 computations (59.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-sub: 27.0ms (62.3% of total)

ival-div: 9.0ms (20.8% of total)

ival-mult: 6.0ms (13.9% of total)

exact: 1.0ms (2.3% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify232.0ms (3.3%)

Memory

2.1MiB live, 158.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))))
✓	cost-diff	128	(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
✓	cost-diff	320	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Rules

2 736×	`lower-fma.f64`
2 736×	`lower-fma.f32`
1 156×	`div-sub`
1 152×	`lower-*.f32`
1 148×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
0	15	38
1	28	38
2	68	38
3	169	36
4	409	36
5	976	36
6	2577	36
7	4574	36
8	4888	36
9	4898	36
10	4907	36
11	4907	36
12	5219	36
13	5428	36
14	5444	36
15	5444	36
16	5444	36
17	5476	36
18	5583	36
0	5583	33

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize29.0ms (0.4%)

Memory

7.2MiB live, 44.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(*.f64 z #s(literal 1/2 binary64))
✓	accuracy	100.0%	(.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))))
✓	accuracy	98.8%	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Samples

16.0ms

256×

valid

Compiler

Compiled 40 to 12 computations (70% saved)

Precisions

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

ival-sub: 3.0ms (37.9% of total)

ival-mult: 3.0ms (37.9% of total)

ival-div: 2.0ms (25.2% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

5 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

simplify295.0ms (4.2%)

Memory

9.4MiB live, 405.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 634×	`lower-fma.f64`
9 634×	`lower-fma.f32`
3 970×	`lower-*.f64`
3 970×	`lower-*.f32`
1 970×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	1088
1	390	1087
2	1119	1031
3	3256	885
0	8216	800

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 139

Calls

Call 1

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

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

rewrite268.0ms (3.8%)

Memory

-8.0MiB live, 415.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 820×	`lower-fma.f64`
4 820×	`lower-fma.f32`
4 390×	`lower-*.f32`
4 386×	`lower-*.f64`
3 134×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
0	15	33
1	60	33
2	470	33
3	6831	33
0	8009	30

Stop Event

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

Counts

5 → 338

Calls

Call 1

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

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

eval84.0ms (1.2%)

Memory: 6.0MiB live, 83.3MiB allocated
Compiler: Compiled 12 413 to 1 349 computations (89.1% saved)

prune77.0ms (1.1%)

Memory

-18.4MiB live, 127.5MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	469	8	477
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	470	8	478

Accuracy

100.0%

Counts

478 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.1%	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z)
▶	35.8%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
	33.0%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
▶	99.8%	(/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))))
▶	100.0%	(*.f64 (/.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) z) #s(literal 4 binary64))
	70.2%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))
▶	67.0%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))))
▶	35.1%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 162 to 112 computations (30.9% saved)

simplify279.0ms (3.9%)

Memory

-8.6MiB live, 182.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 z #s(literal 1/2 binary64) y)
✓	cost-diff	0	(-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))
✓	cost-diff	0	(/.f64 z (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)))
✓	cost-diff	704	(/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))))
✓	cost-diff	0	(/.f64 #s(literal 4 binary64) z)
✓	cost-diff	0	(fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))
✓	cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))))
✓	cost-diff	128	(neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 4 binary64) x)
✓	cost-diff	0	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x))
✓	cost-diff	0	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
✓	cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
✓	cost-diff	0	(fma.f64 z #s(literal 1/2 binary64) y)
✓	cost-diff	0	(-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))
✓	cost-diff	128	(*.f64 (/.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) z) #s(literal 4 binary64))
✓	cost-diff	192	(/.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) z)

Rules

2 832×	`lower-fma.f32`
2 828×	`lower-fma.f64`
1 248×	`lower-*.f32`
1 244×	`lower-*.f64`
1 126×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	153
0	38	149
1	75	149
2	156	149
3	372	144
4	796	144
5	1786	144
6	3823	144
7	5118	144
8	5300	144
9	5324	144
10	5335	144
11	5336	144
12	5368	144
13	5602	144
14	5670	144
15	5670	144
16	5670	144
17	5670	144
18	5702	144
19	5826	144
0	5826	138

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize87.0ms (1.2%)

Memory

19.3MiB live, 95.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 z #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))
✓	accuracy	100.0%	(/.f64 z (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)))
✓	accuracy	99.8%	(/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))))
✓	accuracy	100.0%	(/.f64 #s(literal 4 binary64) z)
✓	accuracy	100.0%	(neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)))
✓	accuracy	99.9%	(fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))
✓	accuracy	67.0%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))))
✓	accuracy	100.0%	(*.f64 #s(literal 4 binary64) x)
✓	accuracy	98.8%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
✓	accuracy	34.1%	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x))
✓	accuracy	35.1%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
✓	accuracy	100.0%	(fma.f64 z #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))
✓	accuracy	100.0%	(*.f64 (/.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) z) #s(literal 4 binary64))
✓	accuracy	100.0%	(/.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) z)

Samples

39.0ms

256×

valid

Compiler

Compiled 147 to 25 computations (83% saved)

Precisions

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

ival-div: 8.0ms (34% of total)

ival-mult: 8.0ms (34% of total)

ival-sub: 3.0ms (12.7% of total)

ival-add: 2.0ms (8.5% of total)

exact: 1.0ms (4.2% of total)

ival-neg: 1.0ms (4.2% of total)

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

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

series14.0ms (0.2%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

14 → 420

Calls

Call 1

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

Outputs
#<alt (* -1 (/ (+ y (* 1/2 z)) z))>
#<alt (+ (* -1 (/ (+ y (* 1/2 z)) z)) (/ x z))>
#<alt (+ (* -1 (/ (+ y (* 1/2 z)) z)) (/ x z))>
#<alt (+ (* -1 (/ (+ y (* 1/2 z)) z)) (/ x z))>
#<alt (/ x z)>
#<alt (* x (+ (* -1 (/ (+ y (* 1/2 z)) (* x z))) (/ 1 z)))>
#<alt (* x (+ (* -1 (/ (+ y (* 1/2 z)) (* x z))) (/ 1 z)))>
#<alt (* x (+ (* -1 (/ (+ y (* 1/2 z)) (* x z))) (/ 1 z)))>
#<alt (/ x z)>
#<alt (* -1 (* x (- (+ (* 1/2 (/ 1 x)) (/ y (* x z))) (/ 1 z))))>
#<alt (* -1 (* x (- (+ (* 1/2 (/ 1 x)) (/ y (* x z))) (/ 1 z))))>
#<alt (* -1 (* x (- (+ (* 1/2 (/ 1 x)) (/ y (* x z))) (/ 1 z))))>
#<alt (/ (- x y) z)>
#<alt (/ (- (+ x (* -1/2 z)) y) z)>
#<alt (/ (- (+ x (* -1/2 z)) y) z)>
#<alt (/ (- (+ x (* -1/2 z)) y) z)>
#<alt -1/2>
#<alt (- (/ x z) (+ 1/2 (/ y z)))>
#<alt (- (/ x z) (+ 1/2 (/ y z)))>
#<alt (- (/ x z) (+ 1/2 (/ y z)))>
#<alt -1/2>
#<alt (- (/ x z) (+ 1/2 (/ y z)))>
#<alt (- (/ x z) (+ 1/2 (/ y z)))>
#<alt (- (/ x z) (+ 1/2 (/ y z)))>
#<alt (/ (- x (* 1/2 z)) z)>
#<alt (- (+ (* -1 (/ y z)) (/ x z)) 1/2)>
#<alt (- (+ (* -1 (/ y z)) (/ x z)) 1/2)>
#<alt (- (+ (* -1 (/ y z)) (/ x z)) 1/2)>
#<alt (* -1 (/ y z))>
#<alt (* y (- (/ x (* y z)) (+ (* 1/2 (/ 1 y)) (/ 1 z))))>
#<alt (* y (- (/ x (* y z)) (+ (* 1/2 (/ 1 y)) (/ 1 z))))>
#<alt (* y (- (/ x (* y z)) (+ (* 1/2 (/ 1 y)) (/ 1 z))))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (* y (+ (* -1 (/ (- (/ x z) 1/2) y)) (/ 1 z))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (/ x z) 1/2) y)) (/ 1 z))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (/ x z) 1/2) y)) (/ 1 z))))>
#<alt (* -4 (/ (+ y (* 1/2 z)) z))>
#<alt (+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))>
#<alt (* 4 (/ x z))>
#<alt (* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))>
#<alt (* 4 (/ x z))>
#<alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ (- x y) z))>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt -2>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt -2>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (* 4 (/ (- x (* 1/2 z)) z))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))>
#<alt (* -4 (/ y z))>
#<alt (* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (+ y (* 1/2 z)))>
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#<alt (- x (+ y (* 1/2 z)))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))>
#<alt (* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))>
#<alt (* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))>
#<alt x>
#<alt (* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))>
#<alt (* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))>
#<alt (* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))>
#<alt (- x y)>
#<alt (- (+ x (* -1/2 z)) y)>
#<alt (- (+ x (* -1/2 z)) y)>
#<alt (- (+ x (* -1/2 z)) y)>
#<alt (* -1/2 z)>
#<alt (* z (- (/ x z) (+ 1/2 (/ y z))))>
#<alt (* z (- (/ x z) (+ 1/2 (/ y z))))>
#<alt (* z (- (/ x z) (+ 1/2 (/ y z))))>
#<alt (* -1/2 z)>
#<alt (* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))>
#<alt (* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))>
#<alt (* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))>
#<alt (- x (* 1/2 z))>
#<alt (- (+ x (* -1 y)) (* 1/2 z))>
#<alt (- (+ x (* -1 y)) (* 1/2 z))>
#<alt (- (+ x (* -1 y)) (* 1/2 z))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))>
#<alt (* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))>
#<alt (* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))>
#<alt y>
#<alt (+ y (* 1/2 z))>
#<alt (+ y (* 1/2 z))>
#<alt (+ y (* 1/2 z))>
#<alt (* 1/2 z)>
#<alt (* z (+ 1/2 (/ y z)))>
#<alt (* z (+ 1/2 (/ y z)))>
#<alt (* z (+ 1/2 (/ y z)))>
#<alt (* 1/2 z)>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1/2)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1/2)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1/2)))>
#<alt (* 1/2 z)>
#<alt (+ y (* 1/2 z))>
#<alt (+ y (* 1/2 z))>
#<alt (+ y (* 1/2 z))>
#<alt y>
#<alt (* y (+ 1 (* 1/2 (/ z y))))>
#<alt (* y (+ 1 (* 1/2 (/ z y))))>
#<alt (* y (+ 1 (* 1/2 (/ z y))))>
#<alt y>
#<alt (* -1 (* y (- (* -1/2 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1/2 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1/2 (/ z y)) 1)))>
#<alt (* -4 (/ (+ y (* 1/2 z)) z))>
#<alt (+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))>
#<alt (* 4 (/ x z))>
#<alt (* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))>
#<alt (* 4 (/ x z))>
#<alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ (- x (* 1/2 z)) z))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))>
#<alt (* -4 (/ y z))>
#<alt (* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ (- x y) z))>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt -2>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt -2>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (* -4 (/ (+ y (* 1/2 z)) z))>
#<alt (+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))>
#<alt (* 4 (/ x z))>
#<alt (* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))>
#<alt (* 4 (/ x z))>
#<alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ (- x (* 1/2 z)) z))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))>
#<alt (* -4 (/ y z))>
#<alt (* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ (- x y) z))>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt -2>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt -2>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (* -4 (+ y (* 1/2 z)))>
#<alt (+ (* -4 (+ y (* 1/2 z))) (* 4 x))>
#<alt (+ (* -4 (+ y (* 1/2 z))) (* 4 x))>
#<alt (+ (* -4 (+ y (* 1/2 z))) (* 4 x))>
#<alt (* 4 x)>
#<alt (* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))>
#<alt (* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))>
#<alt (* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))>
#<alt (* 4 x)>
#<alt (* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))>
#<alt (* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))>
#<alt (* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))>
#<alt (* 4 (- x (* 1/2 z)))>
#<alt (+ (* -4 y) (* 4 (- x (* 1/2 z))))>
#<alt (+ (* -4 y) (* 4 (- x (* 1/2 z))))>
#<alt (+ (* -4 y) (* 4 (- x (* 1/2 z))))>
#<alt (* -4 y)>
#<alt (* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))>
#<alt (* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))>
#<alt (* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))>
#<alt (* -4 y)>
#<alt (* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))>
#<alt (* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))>
#<alt (* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))>
#<alt (* 4 (- x y))>
#<alt (+ (* -2 z) (* 4 (- x y)))>
#<alt (+ (* -2 z) (* 4 (- x y)))>
#<alt (+ (* -2 z) (* 4 (- x y)))>
#<alt (* -2 z)>
#<alt (* z (- (* 4 (/ (- x y) z)) 2))>
#<alt (* z (- (* 4 (/ (- x y) z)) 2))>
#<alt (* z (- (* 4 (/ (- x y) z)) 2))>
#<alt (* -2 z)>
#<alt (* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))>
#<alt (* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))>
#<alt (* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt -2>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))>
#<alt (* -4 (/ y z))>
#<alt (/ (- (* -2 z) (* 4 y)) z)>
#<alt (/ (- (* -2 z) (* 4 y)) z)>
#<alt (/ (- (* -2 z) (* 4 y)) z)>
#<alt -2>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt -2>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (* -4 (/ (+ y (* 1/2 z)) z))>
#<alt (+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))>
#<alt (* 4 (/ x z))>
#<alt (* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))>
#<alt (* 4 (/ x z))>
#<alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ (- x (* 1/2 z)) z))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))>
#<alt (* -4 (/ y z))>
#<alt (* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ (- x y) z))>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt -2>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt -2>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt 2>
#<alt (+ 2 (* 4 (/ y z)))>
#<alt (+ 2 (* 4 (/ y z)))>
#<alt (+ 2 (* 4 (/ y z)))>
#<alt (* 4 (/ y z))>
#<alt (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))>
#<alt (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))>
#<alt (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))>
#<alt (* 4 (/ y z))>
#<alt (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))>
#<alt (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))>
#<alt (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))>
#<alt (* 4 (/ y z))>
#<alt (/ (+ (* 2 z) (* 4 y)) z)>
#<alt (/ (+ (* 2 z) (* 4 y)) z)>
#<alt (/ (+ (* 2 z) (* 4 y)) z)>
#<alt 2>
#<alt (+ 2 (* 4 (/ y z)))>
#<alt (+ 2 (* 4 (/ y z)))>
#<alt (+ 2 (* 4 (/ y z)))>
#<alt 2>
#<alt (+ 2 (* 4 (/ y z)))>
#<alt (+ 2 (* 4 (/ y z)))>
#<alt (+ 2 (* 4 (/ y z)))>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (* 4 (/ (- x y) z))>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt -2>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt -2>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (* -4 (/ (+ y (* 1/2 z)) z))>
#<alt (+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))>
#<alt (* 4 (/ x z))>
#<alt (* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))>
#<alt (* 4 (/ x z))>
#<alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ (- x (* 1/2 z)) z))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))>
#<alt (* -4 (/ y z))>
#<alt (* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))>
#<alt (/ z (- x y))>
#<alt (* z (+ (* 1/2 (/ z (pow (- x y) 2))) (/ 1 (- x y))))>
#<alt (* z (+ (* z (+ (* 1/4 (/ z (pow (- x y) 3))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y))))>
#<alt (* z (+ (* z (+ (* z (+ (* 1/8 (/ z (pow (- x y) 4))) (* 1/4 (/ 1 (pow (- x y) 3))))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y))))>
#<alt -2>
#<alt (- (* -4 (/ (- x y) z)) 2)>
#<alt (- (* -8 (/ (pow (- x y) 2) (pow z 2))) (+ 2 (* 4 (/ (- x y) z))))>
#<alt (- (* -16 (/ (pow (- x y) 3) (pow z 3))) (+ 2 (+ (* 4 (/ (- x y) z)) (* 8 (/ (pow (- x y) 2) (pow z 2))))))>
#<alt -2>
#<alt (- (* -4 (/ (- x y) z)) 2)>
#<alt (- (* -1 (/ (- (* 8 (/ (pow (- x y) 2) z)) (* -4 (- x y))) z)) 2)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow (- x y) 3) z)) (* 8 (pow (- x y) 2))) z)) (* -4 (- x y))) z)) 2)>
#<alt (* -1 (/ z (+ y (* 1/2 z))))>
#<alt (+ (* -1 (/ z (+ y (* 1/2 z)))) (* -1 (/ (* x z) (pow (+ y (* 1/2 z)) 2))))>
#<alt (+ (* -1 (/ z (+ y (* 1/2 z)))) (* x (- (* -1 (/ (* x z) (pow (+ y (* 1/2 z)) 3))) (/ z (pow (+ y (* 1/2 z)) 2)))))>
#<alt (+ (* -1 (/ z (+ y (* 1/2 z)))) (* x (- (* x (- (* -1 (/ (* x z) (pow (+ y (* 1/2 z)) 4))) (/ z (pow (+ y (* 1/2 z)) 3)))) (/ z (pow (+ y (* 1/2 z)) 2)))))>
#<alt (/ z x)>
#<alt (/ (+ z (/ (* z (+ y (* 1/2 z))) x)) x)>
#<alt (/ (- (+ z (/ (* z (pow (+ y (* 1/2 z)) 2)) (pow x 2))) (* -1 (/ (* z (+ y (* 1/2 z))) x))) x)>
#<alt (/ (- (+ z (/ (* z (pow (+ y (* 1/2 z)) 3)) (pow x 3))) (+ (* -1 (/ (* z (+ y (* 1/2 z))) x)) (* -1 (/ (* z (pow (+ y (* 1/2 z)) 2)) (pow x 2))))) x)>
#<alt (/ z x)>
#<alt (* -1 (/ (+ (* -1 z) (* -1 (/ (* z (+ y (* 1/2 z))) x))) x))>
#<alt (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* z (+ y (* 1/2 z))) (/ (* z (pow (+ y (* 1/2 z)) 2)) x)) x))) x))>
#<alt (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* z (pow (+ y (* 1/2 z)) 2))) (* -1 (/ (* z (pow (+ y (* 1/2 z)) 3)) x))) x)) (* z (+ y (* 1/2 z)))) x))) x))>
#<alt (/ z (- x (* 1/2 z)))>
#<alt (+ (/ z (- x (* 1/2 z))) (/ (* y z) (pow (- x (* 1/2 z)) 2)))>
#<alt (+ (* y (- (/ (* y z) (pow (- x (* 1/2 z)) 3)) (* -1 (/ z (pow (- x (* 1/2 z)) 2))))) (/ z (- x (* 1/2 z))))>
#<alt (+ (* y (- (* y (- (/ (* y z) (pow (- x (* 1/2 z)) 4)) (* -1 (/ z (pow (- x (* 1/2 z)) 3))))) (* -1 (/ z (pow (- x (* 1/2 z)) 2))))) (/ z (- x (* 1/2 z))))>
#<alt (* -1 (/ z y))>
#<alt (/ (+ (* -1 z) (* -1 (/ (* z (- x (* 1/2 z))) y))) y)>
#<alt (/ (- (+ (* -1 z) (* -1 (/ (* z (pow (- x (* 1/2 z)) 2)) (pow y 2)))) (/ (* z (- x (* 1/2 z))) y)) y)>
#<alt (/ (- (+ (* -1 z) (* -1 (/ (* z (pow (- x (* 1/2 z)) 3)) (pow y 3)))) (+ (/ (* z (- x (* 1/2 z))) y) (/ (* z (pow (- x (* 1/2 z)) 2)) (pow y 2)))) y)>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ (+ z (/ (* z (- x (* 1/2 z))) y)) y))>
#<alt (* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (* z (pow (- x (* 1/2 z)) 2)) y)) (* z (- x (* 1/2 z)))) y))) y))>
#<alt (* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- x (* 1/2 z)) 3)) y) (* -1 (* z (pow (- x (* 1/2 z)) 2)))) y)) (* z (- x (* 1/2 z)))) y))) y))>

Calls

105 calls:

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

simplify756.0ms (10.7%)

Memory

-3.6MiB live, 626.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 010×	`lower-fma.f64`
11 010×	`lower-fma.f32`
5 946×	`lower-*.f64`
5 946×	`lower-*.f32`
3 670×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	358	4654
1	1087	4553
2	3179	3969
0	8182	3653

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 415

Calls

Call 1

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

rewrite422.0ms (6%)

Memory

10.8MiB live, 534.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 718×	`lower-fma.f32`
4 714×	`lower-fma.f64`
4 468×	`lower-/.f32`
4 458×	`lower-/.f64`
3 938×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	125
0	38	121
1	161	121
2	1239	121
0	8345	119

Stop Event

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

Counts

14 → 781

Calls

Call 1

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

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

eval219.0ms (3.1%)

Memory: 15.1MiB live, 353.2MiB allocated
Compiler: Compiled 33 062 to 2 766 computations (91.6% saved)

prune146.0ms (2.1%)

Memory

-11.3MiB live, 325.8MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	1 422	3	1 425
Fresh	1	2	3
Picked	3	2	5
Done	0	0	0
Total	1 426	7	1 433

Accuracy

100.0%

Counts

1 433 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.1%	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z)
▶	33.0%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 y #s(literal -4 binary64))) z)
✓	35.8%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
▶	64.7%	(/.f64 #s(literal 4 binary64) (/.f64 z #s(approx (- x (+ (* z 1/2) y)) (-.f64 x y))))
▶	70.2%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))
▶	67.0%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
✓	35.1%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 116 to 78 computations (32.8% saved)

simplify293.0ms (4.1%)

Memory

-18.7MiB live, 137.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

2 976×	`lower-fma.f32`
2 972×	`lower-fma.f64`
1 682×	`div-sub`
1 392×	`lower-*.f32`
1 388×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	188
0	43	188
1	77	188
2	132	188
3	256	184
4	512	184
5	1210	184
6	3095	184
7	4933	184
8	5726	184
9	5788	184
10	5812	184
11	5819	184
12	5867	184
13	6386	184
14	6566	184
15	6566	184
16	6566	184
17	6598	184
18	6709	184
0	6709	174

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize80.0ms (1.1%)

Memory

19.8MiB live, 168.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(/.f64 z #s(approx (- x (+ (* z 1/2) y)) (-.f64 x y)))
✓	accuracy	99.8%	(/.f64 #s(literal 4 binary64) (/.f64 z #s(approx (- x (+ (* z 1/2) y)) (-.f64 x y))))
✓	accuracy	64.7%	#s(approx (- x (+ (* z 1/2) y)) (-.f64 x y))
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y)))
✓	accuracy	98.8%	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z)
✓	accuracy	64.7%	#s(approx (- (- x y) (* z 1/2)) (-.f64 x y))
✓	accuracy	100.0%	(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	67.0%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal -4 binary64))
✓	accuracy	98.8%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 y #s(literal -4 binary64))) z)
✓	accuracy	33.2%	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 y #s(literal -4 binary64)))
✓	accuracy	100.0%	(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	70.2%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))

Samples

47.0ms

256×

valid

Compiler

Compiled 146 to 25 computations (82.9% saved)

Precisions

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

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

ival-div: 10.0ms (32.9% of total)

ival-sub: 4.0ms (13.2% of total)

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

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

5.5MiB live, 43.0MiB allocated

Counts

16 → 492

Calls

Call 1

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

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

Calls

123 calls:

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

simplify689.0ms (9.7%)

Memory

-32.5MiB live, 733.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 964×	`lower-fma.f64`
10 964×	`lower-fma.f32`
5 918×	`lower-*.f64`
5 918×	`lower-*.f32`
3 468×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	339	4831
1	1018	4748
2	3022	4598
0	8229	4192

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 485

Calls

Call 1

Inputs
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(* 4 (/ x z))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(* 4 (/ x z))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* 4 (/ x z))
(/ (+ (* -2 z) (* 4 x)) z)
(/ (+ (* -2 z) (* 4 x)) z)
(/ (+ (* -2 z) (* 4 x)) z)
-2
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
-2
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* 4 x)
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(* -4 y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* -4 y)
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(+ (* -2 z) (* 4 (- x y)))
(+ (* -2 z) (* 4 (- x y)))
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* 4 (/ (- x y) z)) 2))
(* -2 z)
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) 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)
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(* -4 (/ y z))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* -4 (/ y z))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -4 (/ y z))
(/ (+ (* -4 y) (* -2 z)) z)
(/ (+ (* -4 y) (* -2 z)) z)
(/ (+ (* -4 y) (* -2 z)) z)
-2
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
-2
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* 4 x)
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(* -4 y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* -4 y)
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(+ (* -2 z) (* 4 (- x y)))
(+ (* -2 z) (* 4 (- x y)))
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* 4 (/ (- x y) z)) 2))
(* -2 z)
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
x
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
x
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(- x (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(* -1 y)
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(- x y)
(- (+ x (* -1/2 z)) y)
(- (+ x (* -1/2 z)) y)
(- (+ x (* -1/2 z)) y)
(* -1/2 z)
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* -1/2 z)
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(/ z (- x y))
(* z (+ (* 1/2 (/ z (pow (- x y) 2))) (/ 1 (- x y))))
(* z (+ (* z (+ (* 1/4 (/ z (pow (- x y) 3))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y))))
(* z (+ (* z (+ (* z (+ (* 1/8 (/ z (pow (- x y) 4))) (* 1/4 (/ 1 (pow (- x y) 3))))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y))))
-2
(- (* -4 (/ (- x y) z)) 2)
(- (* -8 (/ (pow (- x y) 2) (pow z 2))) (+ 2 (* 4 (/ (- x y) z))))
(- (* -16 (/ (pow (- x y) 3) (pow z 3))) (+ 2 (+ (* 4 (/ (- x y) z)) (* 8 (/ (pow (- x y) 2) (pow z 2))))))
-2
(- (* -4 (/ (- x y) z)) 2)
(- (* -1 (/ (- (* 8 (/ (pow (- x y) 2) z)) (* -4 (- x y))) z)) 2)
(- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow (- x y) 3) z)) (* 8 (pow (- x y) 2))) z)) (* -4 (- x y))) z)) 2)
(* -1 (/ z (+ y (* 1/2 z))))
(+ (* -1 (/ z (+ y (* 1/2 z)))) (* -1 (/ (* x z) (pow (+ y (* 1/2 z)) 2))))
(+ (* -1 (/ z (+ y (* 1/2 z)))) (* x (- (* -1 (/ (* x z) (pow (+ y (* 1/2 z)) 3))) (/ z (pow (+ y (* 1/2 z)) 2)))))
(+ (* -1 (/ z (+ y (* 1/2 z)))) (* x (- (* x (- (* -1 (/ (* x z) (pow (+ y (* 1/2 z)) 4))) (/ z (pow (+ y (* 1/2 z)) 3)))) (/ z (pow (+ y (* 1/2 z)) 2)))))
(/ z x)
(/ (+ z (/ (* z (+ y (* 1/2 z))) x)) x)
(/ (- (+ z (/ (* z (pow (+ y (* 1/2 z)) 2)) (pow x 2))) (* -1 (/ (* z (+ y (* 1/2 z))) x))) x)
(/ (- (+ z (/ (* z (pow (+ y (* 1/2 z)) 3)) (pow x 3))) (+ (* -1 (/ (* z (+ y (* 1/2 z))) x)) (* -1 (/ (* z (pow (+ y (* 1/2 z)) 2)) (pow x 2))))) x)
(/ z x)
(* -1 (/ (+ (* -1 z) (* -1 (/ (* z (+ y (* 1/2 z))) x))) x))
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* z (+ y (* 1/2 z))) (/ (* z (pow (+ y (* 1/2 z)) 2)) x)) x))) x))
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* z (pow (+ y (* 1/2 z)) 2))) (* -1 (/ (* z (pow (+ y (* 1/2 z)) 3)) x))) x)) (* z (+ y (* 1/2 z)))) x))) x))
(/ z (- x (* 1/2 z)))
(+ (/ z (- x (* 1/2 z))) (/ (* y z) (pow (- x (* 1/2 z)) 2)))
(+ (* y (- (/ (* y z) (pow (- x (* 1/2 z)) 3)) (* -1 (/ z (pow (- x (* 1/2 z)) 2))))) (/ z (- x (* 1/2 z))))
(+ (* y (- (* y (- (/ (* y z) (pow (- x (* 1/2 z)) 4)) (* -1 (/ z (pow (- x (* 1/2 z)) 3))))) (* -1 (/ z (pow (- x (* 1/2 z)) 2))))) (/ z (- x (* 1/2 z))))
(* -1 (/ z y))
(/ (+ (* -1 z) (* -1 (/ (* z (- x (* 1/2 z))) y))) y)
(/ (- (+ (* -1 z) (* -1 (/ (* z (pow (- x (* 1/2 z)) 2)) (pow y 2)))) (/ (* z (- x (* 1/2 z))) y)) y)
(/ (- (+ (* -1 z) (* -1 (/ (* z (pow (- x (* 1/2 z)) 3)) (pow y 3)))) (+ (/ (* z (- x (* 1/2 z))) y) (/ (* z (pow (- x (* 1/2 z)) 2)) (pow y 2)))) y)
(* -1 (/ z y))
(* -1 (/ (+ z (/ (* z (- x (* 1/2 z))) y)) y))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (* z (pow (- x (* 1/2 z)) 2)) y)) (* z (- x (* 1/2 z)))) y))) y))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- x (* 1/2 z)) 3)) y) (* -1 (* z (pow (- x (* 1/2 z)) 2)))) y)) (* z (- x (* 1/2 z)))) y))) y))
(* -1 (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
x
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
x
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(- x y)
(- (+ x (* -1/2 z)) y)
(- (+ x (* -1/2 z)) y)
(- (+ x (* -1/2 z)) y)
(* -1/2 z)
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* -1/2 z)
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(- x (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(* -1 y)
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))

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

rewrite329.0ms (4.6%)

Memory

-1.3MiB live, 425.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 508×	`lower-fma.f32`
5 504×	`lower-fma.f64`
4 076×	`lower-*.f32`
4 072×	`lower-*.f64`
4 034×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	166
0	43	166
1	183	166
2	1276	166
0	8264	156

Stop Event

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

Counts

16 → 307

Calls

Call 1

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

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

eval128.0ms (1.8%)

Memory: 8.2MiB live, 210.1MiB allocated
Compiler: Compiled 11 966 to 1 052 computations (91.2% saved)

prune67.0ms (0.9%)

Memory

-12.0MiB live, 183.8MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	853	0	853
Fresh	0	0	0
Picked	0	5	5
Done	0	2	2
Total	853	7	860

Accuracy

100.0%

Counts

860 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.1%	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z)
✓	33.0%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 y #s(literal -4 binary64))) z)
✓	35.8%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
✓	64.7%	(/.f64 #s(literal 4 binary64) (/.f64 z #s(approx (- x (+ (* z 1/2) y)) (-.f64 x y))))
✓	70.2%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))
✓	67.0%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
✓	35.1%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 157 to 80 computations (49% saved)

regimes22.0ms (0.3%)

Memory

14.6MiB live, 54.0MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	z
4.0ms	(-.f64 x y)
4.0ms	y
4.0ms	x
4.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
100.0%	1	`(-.f64 x y)`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes25.0ms (0.4%)

Memory

-6.0MiB live, 32.2MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

11.0ms	z
3.0ms	y
3.0ms	(-.f64 x y)
3.0ms	x
3.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
90.0%	3	`x`
90.7%	3	`y`
87.8%	3	`z`
97.7%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
85.6%	4	`(-.f64 x y)`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes9.0ms (0.1%)

Memory

20.9MiB live, 20.9MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

3.0ms	y
3.0ms	x
3.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
90.0%	3	`x`
89.8%	3	`y`
73.1%	2	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes34.0ms (0.5%)

Memory

-24.6MiB live, 17.5MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

28.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
67.0%	1	`z`
70.5%	3	`y`
84.3%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes13.0ms (0.2%)

Memory

-6.3MiB live, 31.8MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

4.0ms	z
2.0ms	(-.f64 x y)
2.0ms	y
2.0ms	x
2.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
56.1%	3	`z`
58.5%	4	`y`
68.3%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
58.6%	5	`(-.f64 x y)`
61.4%	5	`x`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes2.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
64.7%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes7.0ms (0.1%)

Memory

21.3MiB live, 21.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	z
1.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)
1.0ms	(-.f64 x y)
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
35.1%	1	`(-.f64 x y)`
35.1%	1	`z`
35.1%	1	`y`
35.1%	1	`x`
35.1%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6735.549524990821	96044981.91862597
0.0ms	-6.3457505617969455e+28	-2.674775727295856e+20

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch29.0ms (0.4%)

Memory

-13.5MiB live, 62.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	8.769593103735207e+133	1.4869737549052973e+136
14.0ms	-2.54293114982431e+31	-3.557209773311782e+22

Samples

17.0ms

256×

valid

Compiler

Compiled 369 to 272 computations (26.3% saved)

Precisions

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

ival-sub: 6.0ms (55% of total)

ival-mult: 3.0ms (27.5% of total)

ival-div: 2.0ms (18.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch27.0ms (0.4%)

Memory

14.8MiB live, 54.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	8.769593103735207e+133	1.4869737549052973e+136
16.0ms	-1.0484847351749272e+164	-3.282495990510811e+160

Samples

17.0ms

224×

valid

Compiler

Compiled 332 to 241 computations (27.4% saved)

Precisions

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

ival-mult: 3.0ms (43.3% of total)

ival-sub: 2.0ms (28.9% of total)

ival-div: 2.0ms (28.9% 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

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.8948719664544298	21.29745696802407
0.0ms	-6.3457505617969455e+28	-2.674775727295856e+20

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.8948719664544298	21.29745696802407
0.0ms	-6.3457505617969455e+28	-2.674775727295856e+20

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify22.0ms (0.3%)

Memory

-13.2MiB live, 23.8MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
16×	`+-commutative_binary64`
16×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	359
1	76	359
2	93	359
3	103	359
4	109	359
5	110	359

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) z) #s(literal 4 binary64))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -49999999999999995716575428608 binary64)) (/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 10000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) (/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z)))
(if (<=.f64 x #s(literal -62000000000000001373584228352 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) (if (<=.f64 x #s(literal 130000000000000007949109199870485130527996453731041441336431500195280616680532022491143032405603265996158064046158326421386323843612672 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))))
(if (<=.f64 x #s(literal -34000000000000003031539558616712711176190090120062983376464399853243775817891079547369712471751206030051057155779171713502988409271008609114205576770946932408320 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal 4 binary64) x)) z) (if (<=.f64 x #s(literal 3100000000000000220592338108533065969032020867853342475254638091546397311596573187056194691220649932283929715717739796345356231712440320 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -49999999999999995716575428608 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -49999999999999995716575428608 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Outputs
(*.f64 (/.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) z) #s(literal 4 binary64))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -49999999999999995716575428608 binary64)) (/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 10000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) (/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z)))
(if (<=.f64 x #s(literal -62000000000000001373584228352 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) (if (<=.f64 x #s(literal 130000000000000007949109199870485130527996453731041441336431500195280616680532022491143032405603265996158064046158326421386323843612672 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))))
(if (<=.f64 x #s(literal -34000000000000003031539558616712711176190090120062983376464399853243775817891079547369712471751206030051057155779171713502988409271008609114205576770946932408320 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal 4 binary64) x)) z) (if (<=.f64 x #s(literal 3100000000000000220592338108533065969032020867853342475254638091546397311596573187056194691220649932283929715717739796345356231712440320 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)))
(if (<=.f64 x #s(literal -34000000000000003031539558616712711176190090120062983376464399853243775817891079547369712471751206030051057155779171713502988409271008609114205576770946932408320 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) z) (if (<=.f64 x #s(literal 3100000000000000220592338108533065969032020867853342475254638091546397311596573187056194691220649932283929715717739796345356231712440320 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -49999999999999995716575428608 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -49999999999999995716575428608 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 y #s(literal -4 binary64))) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -49999999999999995716575428608 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -49999999999999995716575428608 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 y #s(literal -4 binary64))) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 y #s(literal -4 binary64))) z)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

soundness870.0ms (12.3%)

Memory

-7.8MiB live, 562.3MiB allocated

Rules

9 634×	`lower-fma.f64`
9 634×	`lower-fma.f32`
4 820×	`lower-fma.f64`
4 820×	`lower-fma.f32`
4 718×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
0	15	33
1	60	33
2	470	33
3	6831	33
0	8009	30
0	127	1088
1	390	1087
2	1119	1031
3	3256	885
0	8216	800
0	26	125
0	38	121
1	161	121
2	1239	121
0	8345	119

Stop Event

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

Compiler

Compiled 335 to 139 computations (58.5% saved)

preprocess106.0ms (1.5%)

Memory: 10.2MiB live, 160.7MiB allocated
Compiler: Compiled 472 to 142 computations (69.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze64.0ms (0.9%)

sample931.0ms (13.1%)

preprocess278.0ms (3.9%)

explain129.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify232.0ms (3.3%)

localize29.0ms (0.4%)

series11.0ms (0.2%)

simplify295.0ms (4.2%)

rewrite268.0ms (3.8%)

eval84.0ms (1.2%)

prune77.0ms (1.1%)

simplify279.0ms (3.9%)

localize87.0ms (1.2%)

series14.0ms (0.2%)

simplify756.0ms (10.7%)

rewrite422.0ms (6%)

eval219.0ms (3.1%)

prune146.0ms (2.1%)

simplify293.0ms (4.1%)

localize80.0ms (1.1%)

series16.0ms (0.2%)

simplify689.0ms (9.7%)

rewrite329.0ms (4.6%)

eval128.0ms (1.8%)

prune67.0ms (0.9%)

regimes22.0ms (0.3%)

regimes25.0ms (0.4%)

regimes9.0ms (0.1%)

regimes34.0ms (0.5%)

regimes13.0ms (0.2%)

regimes2.0ms (0%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch29.0ms (0.4%)

bsearch27.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify22.0ms (0.3%)

soundness870.0ms (12.3%)

preprocess106.0ms (1.5%)

end0.0ms (0%)

Profiling