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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze43.0ms (0.7%)

Memory

16.2MiB live, 62.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	49.9%	49.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
93.8%	93.6%	6.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample970.0ms (16%)

Memory

-7.5MiB live, 1 293.6MiB allocated

Samples

555.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 351.0ms

ival-mult: 147.0ms (41.9% of total)

ival-add: 81.0ms (23.1% of total)

ival-div: 58.0ms (16.5% of total)

ival-sub: 46.0ms (13.1% of total)

exact: 9.0ms (2.6% of total)

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

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain138.0ms (2.3%)

Memory

4.5MiB live, 233.6MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

36.0ms

512×

valid

Compiler

Compiled 128 to 40 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 7.0ms (38% of total)

ival-add: 5.0ms (27.1% of total)

ival-div: 4.0ms (21.7% of total)

ival-sub: 2.0ms (10.9% of total)

exact: 1.0ms (5.4% of total)

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

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

preprocess290.0ms (4.8%)

Memory

11.3MiB live, 143.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))

Compiler

Compiled 16 to 12 computations (25% saved)

simplify255.0ms (4.2%)

Memory

-3.1MiB live, 154.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize65.0ms (1.1%)

Memory

-5.7MiB live, 76.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y #s(literal 1/4 binary64))
accuracy	0	(.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z))
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))
accuracy	0.01171875	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)

Samples

43.0ms

256×

valid

Compiler

Compiled 56 to 14 computations (75% saved)

Precisions

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

ival-mult: 3.0ms (34.1% of total)

ival-div: 2.0ms (22.8% of total)

ival-add: 2.0ms (22.8% of total)

ival-sub: 1.0ms (11.4% of total)

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.6%)

Memory

-4.0MiB live, 33.3MiB allocated

Counts

5 → 144

Calls

Call 1

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

Outputs
#s(alt (* 4 (- (* 1/4 y) z)) (taylor 0 x) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 x) (* 4 (- (* 1/4 y) z))) (taylor 0 x) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 x) (* 4 (- (* 1/4 y) z))) (taylor 0 x) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 x) (* 4 (- (* 1/4 y) z))) (taylor 0 x) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor inf x) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x)))) (taylor inf x) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x)))) (taylor inf x) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x)))) (taylor inf x) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4))) (taylor -inf x) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4))) (taylor -inf x) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4))) (taylor -inf x) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* 4 (- x z)) (taylor 0 y) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 4 (- x z))) (taylor 0 y) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 4 (- x z))) (taylor 0 y) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 4 (- x z))) (taylor 0 y) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 4 (/ (- x z) y)))) (taylor inf y) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 4 (/ (- x z) y)))) (taylor inf y) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 4 (/ (- x z) y)))) (taylor inf y) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -4 (/ (- x z) y)) 1))) (taylor -inf y) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -4 (/ (- x z) y)) 1))) (taylor -inf y) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -4 (/ (- x z) y)) 1))) (taylor -inf y) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* 4 (+ x (* 1/4 y))) (taylor 0 z) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 z) (* 4 (+ x (* 1/4 y)))) (taylor 0 z) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 z) (* 4 (+ x (* 1/4 y)))) (taylor 0 z) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 z) (* 4 (+ x (* 1/4 y)))) (taylor 0 z) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor inf z) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) (taylor inf z) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) (taylor inf z) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) (taylor inf z) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor -inf z) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z))))) (taylor -inf z) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
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#s(alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) (taylor 0 x) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) (taylor 0 x) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor inf x) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) (taylor inf x) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) (taylor inf x) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) (taylor inf x) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (- x z) y)) (taylor 0 y) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* 4 (- x z))) y) (taylor 0 y) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* 4 (- x z))) y) (taylor 0 y) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* 4 (- x z))) y) (taylor 0 y) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (- x z) y))) (taylor inf y) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (- x z) y))) (taylor inf y) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (- x z) y))) (taylor inf y) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (- x z) y))) (taylor -inf y) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (- x z) y))) (taylor -inf y) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (- x z) y))) (taylor -inf y) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (+ x (* 1/4 y)) y)) (taylor 0 z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) (taylor 0 z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) (taylor 0 z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) (taylor 0 z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor inf z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor -inf z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/4 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 1/4 binary64)) (patch (.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 1/4 binary64)) (patch (.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 1/4 binary64)) (patch (.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 1/4 binary64)) (patch (.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 y) (taylor inf y) (#s(alt (.f64 y #s(literal 1/4 binary64)) (patch (.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 y) (taylor inf y) (#s(alt (.f64 y #s(literal 1/4 binary64)) (patch (.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 y) (taylor inf y) (#s(alt (.f64 y #s(literal 1/4 binary64)) (patch (.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 y) (taylor inf y) (#s(alt (.f64 y #s(literal 1/4 binary64)) (patch (.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 1/4 binary64)) (patch (.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 1/4 binary64)) (patch (.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 1/4 binary64)) (patch (.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 1/4 binary64)) (patch (.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())

Calls

36 calls:

Time	Variable		Point	Expression
26.0ms	x	@	inf	(/ (* 4 (- (+ x (* y 1/4)) z)) y)
1.0ms	x	@	0	(+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y))
1.0ms	y	@	inf	(* 4 (- (+ x (* y 1/4)) z))
0.0ms	x	@	inf	(* 4 (- (+ x (* y 1/4)) z))
0.0ms	x	@	0	(* 4 (- (+ x (* y 1/4)) z))

simplify214.0ms (3.5%)

Memory

7.6MiB live, 198.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 139

Calls

Call 1

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

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

rewrite417.0ms (6.9%)

Memory

-20.4MiB live, 308.7MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 335

Calls

Call 1

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

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

eval236.0ms (3.9%)

Memory: 14.0MiB live, 136.1MiB allocated
Compiler: Compiled 12 519 to 1 381 computations (89% saved)

prune221.0ms (3.6%)

Memory

-2.8MiB live, 118.1MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	468	6	474
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	469	6	475

Accuracy

100.0%

Counts

475 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.5%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
▶	67.7%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
▶	69.4%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
▶	37.6%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
▶	35.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
▶	33.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Compiler

Compiled 108 to 74 computations (31.5% saved)

simplify149.0ms (2.5%)

Memory

21.3MiB live, 134.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

8 070×	`lower-fma.f32`
8 068×	`lower-fma.f64`
2 618×	`lower-*.f32`
2 612×	`lower-*.f64`
2 410×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	149
0	38	149
1	66	149
2	98	149
3	154	149
4	280	139
5	564	129
6	1650	129
7	4353	129
8	7161	129
0	8062	124

Stop Event

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

Calls

Call 1

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

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

localize168.0ms (2.8%)

Memory

-10.7MiB live, 107.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 4 binary64) y)
accuracy	0.10546875	(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
accuracy	20.58617073512569	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
accuracy	0	(/.f64 x y)
accuracy	0.010097509768442016	(*.f64 (/.f64 x y) #s(literal 4 binary64))
accuracy	39.909339423487026	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
accuracy	0	(/.f64 #s(literal -4 binary64) y)
accuracy	0.1796875	(*.f64 (/.f64 #s(literal -4 binary64) y) z)
accuracy	41.04611261318787	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
accuracy	42.90464182288606	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
accuracy	0	(-.f64 x z)
accuracy	0.01171875	(/.f64 (-.f64 x z) y)
accuracy	0.012382519536884034	(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
accuracy	19.608275205383002	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))

Samples

41.0ms

256×

valid

Compiler

Compiled 123 to 26 computations (78.9% saved)

Precisions

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

ival-div: 9.0ms (37.6% of total)

ival-mult: 9.0ms (37.6% of total)

ival-add: 3.0ms (12.5% of total)

ival-sub: 2.0ms (8.3% of total)

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

exact: 0.0ms (0% of total)

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

series32.0ms (0.5%)

Memory

20.2MiB live, 53.7MiB allocated

Counts

14 → 396

Calls

Call 1

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

Outputs
#s(alt (+ 1 (* 4 (/ (- (* 1/4 y) z) y))) (taylor 0 x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (- x z) y)) (taylor 0 y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 y) (* 4 (- x z))) y) (taylor 0 y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 y) (* 4 (- x z))) y) (taylor 0 y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 y) (* 4 (- x z))) y) (taylor 0 y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor -inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor -inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor -inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor -inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 y) (* 4 x)) y) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 y) (* 4 x)) y) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 y) (* 4 x)) y) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor inf y) (#s(alt (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ x y))) (taylor inf y) (#s(alt (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ x y))) (taylor inf y) (#s(alt (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ x y))) (taylor inf y) (#s(alt (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf y) (#s(alt (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ x y))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ x y))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ x y))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ x y))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ x y))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ x y))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 4 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 4 binary64) y) (patch (/.f64 #s(literal 4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 4 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 4 binary64) y) (patch (/.f64 #s(literal 4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 4 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 4 binary64) y) (patch (/.f64 #s(literal 4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 4 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 4 binary64) y) (patch (/.f64 #s(literal 4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 4 y) (taylor inf y) (#s(alt (/.f64 #s(literal 4 binary64) y) (patch (/.f64 #s(literal 4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 4 y) (taylor inf y) (#s(alt (/.f64 #s(literal 4 binary64) y) (patch (/.f64 #s(literal 4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 4 y) (taylor inf y) (#s(alt (/.f64 #s(literal 4 binary64) y) (patch (/.f64 #s(literal 4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 4 y) (taylor inf y) (#s(alt (/.f64 #s(literal 4 binary64) y) (patch (/.f64 #s(literal 4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 4 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 4 binary64) y) (patch (/.f64 #s(literal 4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 4 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 4 binary64) y) (patch (/.f64 #s(literal 4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 4 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 4 binary64) y) (patch (/.f64 #s(literal 4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 4 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 4 binary64) y) (patch (/.f64 #s(literal 4 binary64) y) #<representation binary64>) () ())) ())

Calls

99 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(* (/ x y) 4)
3.0ms	z	@	-inf	(* (/ -4 y) z)
1.0ms	z	@	inf	(* (/ -4 y) z)
1.0ms	y	@	0	(* (/ (- x z) y) 4)
1.0ms	y	@	0	(* (/ -4 y) z)

simplify171.0ms (2.8%)

Memory

-2.4MiB live, 154.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 472×	`lower-fma.f64`
9 472×	`lower-fma.f32`
2 912×	`lower-*.f64`
2 912×	`lower-*.f32`
2 094×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	3498
1	356	3408
2	996	2968
3	2958	2718
4	5918	2678
0	8107	2500

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 393

Calls

Call 1

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

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

rewrite160.0ms (2.6%)

Memory

-3.6MiB live, 314.2MiB allocated

Rules

4 822×	`lower-fma.f32`
4 820×	`lower-fma.f64`
3 960×	`lower-*.f32`
3 954×	`lower-*.f64`
3 826×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	134
0	38	134
1	151	134
2	1091	134
0	8494	124

Stop Event

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

Counts

14 → 316

Calls

Call 1

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

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

eval300.0ms (4.9%)

Memory: -15.1MiB live, 162.1MiB allocated
Compiler: Compiled 8 659 to 901 computations (89.6% saved)

prune70.0ms (1.1%)

Memory

-23.8MiB live, 140.6MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	708	1	709
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	709	6	715

Accuracy

100.0%

Counts

715 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.5%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
✓	67.7%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
▶	35.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
✓	69.4%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
✓	37.6%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
✓	33.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Compiler

Compiled 54 to 37 computations (31.5% saved)

simplify277.0ms (4.6%)

Memory

7.0MiB live, 125.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

7 424×	`lower-fma.f32`
7 422×	`lower-fma.f64`
2 810×	`lower-*.f32`
2 808×	`lower-*.f64`
1 224×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	63
0	25	63
1	42	63
2	71	63
3	124	63
4	232	59
5	498	55
6	1500	55
7	4022	55
8	6801	55
0	8022	53

Stop Event

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

Calls

Call 1

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

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

localize43.0ms (0.7%)

Memory

30.9MiB live, 66.9MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 z y)
accuracy	0.0078125	(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))
accuracy	21.459784924985406	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
accuracy	0	(/.f64 (*.f64 #s(literal -4 binary64) z) y)
accuracy	0	(*.f64 #s(literal -4 binary64) z)
accuracy	41.04611261318787	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))

Samples

30.0ms

256×

valid

Compiler

Compiled 53 to 21 computations (60.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-add: 7.0ms (35.2% of total)

ival-mult: 6.0ms (30.1% of total)

ival-div: 5.0ms (25.1% of total)

ival-sub: 1.0ms (5% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.4%)

Memory

-23.8MiB live, 18.6MiB allocated

Counts

6 → 156

Calls

Call 1

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

Outputs
#s(alt (+ 1 (* 4 (/ (- (* 1/4 y) z) y))) (taylor 0 x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) (taylor 0 x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) (taylor 0 x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) (taylor 0 x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) (taylor inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) (taylor inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) (taylor inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (- x z) y)) (taylor 0 y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 y) (* 4 (- x z))) y) (taylor 0 y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 y) (* 4 (- x z))) y) (taylor 0 y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 y) (* 4 (- x z))) y) (taylor 0 y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor -inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor -inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor -inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor -inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor 0 z) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor 0 z) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor 0 z) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor 0 z) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor inf z) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor inf z) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor inf z) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor inf z) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor -inf z) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor -inf z) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor -inf z) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor -inf z) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor 0 y) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor 0 y) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor 0 y) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor 0 y) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor inf y) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor inf y) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor inf y) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor inf y) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor -inf y) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
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#s(alt (+ 2 (* -4 (/ z y))) (taylor inf y) (#s(alt (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) (patch (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -4 (/ z y))) (taylor inf y) (#s(alt (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) (patch (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -4 (/ z y))) (taylor inf y) (#s(alt (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) (patch (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf y) (#s(alt (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) (patch (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -4 (/ z y))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) (patch (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -4 (/ z y))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) (patch (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -4 (/ z y))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) (patch (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())

Calls

39 calls:

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

simplify175.0ms (2.9%)

Memory

18.6MiB live, 181.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 676×	`lower-fma.f64`
12 676×	`lower-fma.f32`
2 838×	`lower-*.f64`
2 838×	`lower-*.f32`
2 160×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	1326
1	199	1326
2	489	1066
3	1235	966
4	3004	966
0	8152	890

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

rewrite143.0ms (2.4%)

Memory

16.3MiB live, 202.9MiB allocated

Rules

5 662×	`lower-fma.f32`
5 660×	`lower-fma.f64`
4 314×	`lower-*.f32`
4 312×	`lower-*.f64`
3 514×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	56
0	25	56
1	108	56
2	884	56
0	8524	52

Stop Event

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

Counts

6 → 108

Calls

Call 1

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

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

eval60.0ms (1%)

Memory: -21.1MiB live, 55.6MiB allocated
Compiler: Compiled 2 862 to 255 computations (91.1% saved)

prune175.0ms (2.9%)

Memory

-3.5MiB live, 42.4MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	264	0	264
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	264	6	270

Accuracy

100.0%

Counts

270 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.5%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
✓	67.7%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
✓	35.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
✓	69.4%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
✓	37.6%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
✓	33.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Compiler

Compiled 112 to 64 computations (42.9% saved)

regimes19.0ms (0.3%)

Memory

-7.3MiB live, 30.1MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	x
3.0ms	y
3.0ms	z
3.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)
3.0ms	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))

Results

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

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes19.0ms (0.3%)

Memory

8.2MiB live, 42.7MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

6.0ms	x
3.0ms	z
3.0ms	y
3.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)
3.0ms	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))

Results

Accuracy	Segments	Branch
91.1%	3	`x`
92.0%	3	`y`
88.3%	3	`z`
99.9%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
99.9%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes11.0ms (0.2%)

Memory

30.3MiB live, 30.3MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

3.0ms	x
3.0ms	y
2.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)
2.0ms	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))

Results

Accuracy	Segments	Branch
91.1%	3	`x`
73.9%	3	`y`
70.5%	2	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
70.5%	2	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 38 to 28 computations (26.3% saved)

regimes8.0ms (0.1%)

Memory

-25.5MiB live, 12.6MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

5.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
83.8%	3	`z`
74.3%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes16.0ms (0.3%)

Memory

-16.2MiB live, 31.8MiB allocated

Counts

4 → 4

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
70.4%	4	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
70.4%	4	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`
64.7%	5	`y`
65.4%	5	`x`
62.1%	5	`z`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes4.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

3 → 4

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

2.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
70.4%	4	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
70.4%	4	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes3.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

1.0ms

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

1.0ms

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

Results

Accuracy	Segments	Branch
65.7%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
65.7%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes7.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
33.0%	1	`z`
33.0%	1	`y`
33.0%	1	`x`
33.0%	1	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
33.0%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7385955468473938.0	10694666650642800.0
0.0ms	-1635036519.3914745	-13.29175260184538

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch35.0ms (0.6%)

Memory

-16.5MiB live, 57.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.078405984423436e+69	4.749204989309451e+70
17.0ms	-1.8558450811925132e+85	-2.9994110825951164e+76

Samples

19.0ms

256×

valid

Compiler

Compiled 371 to 274 computations (26.1% saved)

Precisions

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

ival-sub: 6.0ms (45.1% of total)

ival-mult: 3.0ms (22.6% of total)

ival-div: 2.0ms (15% of total)

ival-add: 2.0ms (15% of total)

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

exact: 0.0ms (0% of total)

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

bsearch73.0ms (1.2%)

Memory

28.6MiB live, 65.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.779982725026806e+155	5.136753377291457e+174
54.0ms	-1.543367249828865e+113	-2.0182932577304397e+108

Samples

58.0ms

304×

valid

Compiler

Compiled 418 to 303 computations (27.5% saved)

Precisions

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

ival-mult: 4.0ms (38.5% of total)

ival-add: 3.0ms (28.9% of total)

ival-div: 2.0ms (19.3% of total)

ival-sub: 1.0ms (9.6% 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

0.8MiB live, 0.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.884916498877793e+62	1.7558965208424347e+64
0.0ms	7385955468473938.0	10694666650642800.0
0.0ms	-13.29175260184538	0.9999395429162574

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.884916498877793e+62	1.7558965208424347e+64
0.0ms	7385955468473938.0	10694666650642800.0
0.0ms	-13.29175260184538	0.9999395429162574

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000000002	99841549039329.14
0.0ms	-13.29175260184538	0.9999395429162574

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify55.0ms (0.9%)

Memory

-20.4MiB live, 39.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	561
1	85	561
2	90	561
3	92	561
4	93	561

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -1000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 10000000000000000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))))
(if (<=.f64 x #s(literal -44999999999999997296891919538775304886131929311912030872645211558663616987136 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (if (<=.f64 x #s(literal 4200000000000000304632032802422787529865172520515392213176482653011968 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))))
(if (<=.f64 z #s(literal -32000000000000001087967734816090387038207191030812737526829782874812008695142426665367731724183470269481877504 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (if (<=.f64 z #s(literal 6599999999999999704889740170416960896224666331392471398596109016291223173895571176082550059814524022285304048837069830656864667679330832033829908917913588779255332864 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -10 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 10000000000000000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 200000000000000007004399371886322346092160635596623651209740288 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 x y) #s(literal 4 binary64))) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -10 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 10000000000000000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 200000000000000007004399371886322346092160635596623651209740288 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 x y) #s(literal 4 binary64))) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -10 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))
(+.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -1000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 10000000000000000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -1000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 10000000000000000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))))
(if (<=.f64 x #s(literal -44999999999999997296891919538775304886131929311912030872645211558663616987136 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (if (<=.f64 x #s(literal 4200000000000000304632032802422787529865172520515392213176482653011968 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))))
(if (<=.f64 z #s(literal -32000000000000001087967734816090387038207191030812737526829782874812008695142426665367731724183470269481877504 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (if (<=.f64 z #s(literal 6599999999999999704889740170416960896224666331392471398596109016291223173895571176082550059814524022285304048837069830656864667679330832033829908917913588779255332864 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -10 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 10000000000000000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 200000000000000007004399371886322346092160635596623651209740288 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 x y) #s(literal 4 binary64))) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -10 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 10000000000000000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 200000000000000007004399371886322346092160635596623651209740288 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 x y) #s(literal 4 binary64))) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -10 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 10000000000000000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 200000000000000007004399371886322346092160635596623651209740288 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 x y) #s(literal 4 binary64))) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -10 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 10000000000000000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 200000000000000007004399371886322346092160635596623651209740288 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 x y) #s(literal 4 binary64))) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -10 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -10 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

soundness745.0ms (12.3%)

Memory

-8.8MiB live, 417.5MiB allocated

Rules

16 484×	`lower-fma.f64`
16 484×	`lower-fma.f32`
5 278×	`lower-*.f64`
5 278×	`lower-*.f32`
4 822×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	134
0	38	134
1	151	134
2	1091	134
0	8494	124
0	120	1280
1	360	1259
2	961	1020
3	3605	976
0	8398	865

Stop Event

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

Compiler

Compiled 403 to 147 computations (63.5% saved)

preprocess242.0ms (4%)

Memory: 4.3MiB live, 89.8MiB allocated
Compiler: Compiled 614 to 140 computations (77.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze43.0ms (0.7%)

sample970.0ms (16%)

explain138.0ms (2.3%)

preprocess290.0ms (4.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify255.0ms (4.2%)

localize65.0ms (1.1%)

series39.0ms (0.6%)

simplify214.0ms (3.5%)

rewrite417.0ms (6.9%)

eval236.0ms (3.9%)

prune221.0ms (3.6%)

simplify149.0ms (2.5%)

localize168.0ms (2.8%)

series32.0ms (0.5%)

simplify171.0ms (2.8%)

rewrite160.0ms (2.6%)

eval300.0ms (4.9%)

prune70.0ms (1.1%)

simplify277.0ms (4.6%)

localize43.0ms (0.7%)

series27.0ms (0.4%)

simplify175.0ms (2.9%)

rewrite143.0ms (2.4%)

eval60.0ms (1%)

prune175.0ms (2.9%)

regimes19.0ms (0.3%)

regimes19.0ms (0.3%)

regimes11.0ms (0.2%)

regimes8.0ms (0.1%)

regimes16.0ms (0.3%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch35.0ms (0.6%)

bsearch73.0ms (1.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify55.0ms (0.9%)

soundness745.0ms (12.3%)

preprocess242.0ms (4%)

end0.0ms (0%)

Profiling