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

analyze35.0ms (0.9%)

Memory

45.7MiB live, 45.7MiB 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)

sample701.0ms (17%)

Memory

272.7MiB live, 272.7MiB allocated

Samples

440.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 269.0ms

ival-mult: 97.0ms (36% of total)

ival-add: 69.0ms (25.6% of total)

ival-div: 51.0ms (18.9% of total)

ival-sub: 34.0ms (12.6% of total)

exact: 9.0ms (3.3% of total)

ival-true: 6.0ms (2.2% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain178.0ms (4.3%)

Memory

89.7MiB live, 89.7MiB 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

34.0ms

512×

valid

Compiler

Compiled 287 to 126 computations (56.1% saved)

Precisions

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

ival-mult: 6.0ms (34.5% of total)

ival-add: 4.0ms (23% of total)

ival-div: 3.0ms (17.2% of total)

ival-sub: 2.0ms (11.5% of total)

exact: 1.0ms (5.7% of total)

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

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

preprocess138.0ms (3.3%)

Memory

29.9MiB live, 29.9MiB allocated

Algorithm

1×	egg-herbie

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 13 to 12 computations (7.7% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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 13 to 12 computations (7.7% saved)

simplify89.0ms (2.2%)

Memory

24.1MiB live, 24.1MiB 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))

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

localize23.0ms (0.6%)

Memory

11.0MiB live, 11.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))
accuracy	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	0.01953125	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)

Samples

16.0ms

256×

valid

Compiler

Compiled 110 to 26 computations (76.4% saved)

Precisions

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

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

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

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

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

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.3%)

Memory

5.7MiB live, 5.7MiB 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 (+ 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 (+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) (taylor 0 z) (#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 (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#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 (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#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 (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#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 (* 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) (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 y)) (taylor inf z) (#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 (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#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 (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#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 (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#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 (* -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) (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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor -inf z) (#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 (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#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 (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#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>) () ())) ())
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#s(alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) (taylor 0 x) (#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 (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) (taylor 0 x) (#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 (* 1/4 y) (taylor 0 x) (#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 (+ x (* 1/4 y)) (taylor 0 x) (#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 (+ x (* 1/4 y)) (taylor 0 x) (#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 (+ x (* 1/4 y)) (taylor 0 x) (#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 (* 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)) (* 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) (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 y)) (taylor inf x) (#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 (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) (taylor inf x) (#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 (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) (taylor inf x) (#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 (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) (taylor inf x) (#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 x (taylor inf x) (#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 (* x (+ 1 (* 1/4 (/ y x)))) (taylor inf x) (#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 (* x (+ 1 (* 1/4 (/ y x)))) (taylor inf x) (#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 (* x (+ 1 (* 1/4 (/ y x)))) (taylor inf x) (#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 (* 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) (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 y)) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#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 x (taylor -inf x) (#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 (* -1 (* x (- (* -1/4 (/ y x)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -1/4 (/ y x)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -1/4 (/ y x)) 1))) (taylor -inf x) (#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 (* 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>) () ())) ())

Calls

9 calls:

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

simplify128.0ms (3.1%)

Memory

43.9MiB live, 43.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	1412
1	360	1259
2	963	1200
3	3612	976
0	8429	865

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 139

Calls

Call 1

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

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

rewrite138.0ms (3.4%)

Memory

48.1MiB live, 48.1MiB allocated

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
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eval65.0ms (1.6%)

Memory: 42.4MiB live, 42.4MiB allocated
Compiler: Compiled 10 560 to 1 415 computations (86.6% saved)

prune19.0ms (0.5%)

Memory

22.0MiB live, 22.0MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	467	7	474
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	468	7	475

Accuracy

100.0%

Counts

475 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.6%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
▶	69.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
	69.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
▶	38.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
▶	36.6%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
▶	90.1%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) 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))
▶	31.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Compiler

Compiled 102 to 110 computations (-7.8% saved)

simplify97.0ms (2.4%)

Memory

22.4MiB live, 22.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
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 #s(literal 4 binary64) y)
cost-diff	0	(*.f64 (/.f64 #s(literal 4 binary64) y) x)
cost-diff	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
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 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) x)
cost-diff	0	(-.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) x) (/.f64 #s(literal -4 binary64) y))
cost-diff	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) 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))
cost-diff	1728	(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) x) (/.f64 #s(literal -4 binary64) y)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	188
0	40	188
1	66	188
2	108	188
3	186	188
4	372	178
5	1037	158
6	3625	158
7	6980	158
0	8096	151

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

localize64.0ms (1.5%)

Memory

23.4MiB live, 23.4MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 4 binary64) y)
accuracy	0.078125	(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
accuracy	19.764163159874645	#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 #s(literal 4 binary64) y)
accuracy	0.15234375	(*.f64 (/.f64 #s(literal 4 binary64) y) x)
accuracy	39.08827222428981	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
accuracy	0	(/.f64 #s(literal -4 binary64) y)
accuracy	0.140625	(*.f64 (/.f64 #s(literal -4 binary64) y) z)
accuracy	40.55144154107591	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
accuracy	43.62646424404991	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
accuracy	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) 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))
accuracy	0.015625	(-.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) x) (/.f64 #s(literal -4 binary64) y))
accuracy	3.848620037945669	(/.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) x)
accuracy	4.599796283820065	(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) x) (/.f64 #s(literal -4 binary64) y)) x)

Samples

45.0ms

256×

valid

Compiler

Compiled 282 to 48 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 10.0ms (36.1% of total)

ival-div: 9.0ms (32.5% of total)

ival-add: 5.0ms (18.1% of total)

ival-sub: 3.0ms (10.8% of total)

exact: 1.0ms (3.6% of total)

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

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

series41.0ms (1%)

Memory

16.9MiB live, 16.9MiB allocated

Counts

13 → 384

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	((* (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) x) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) (/ (+ (* (/ z y) -4) 2) x) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ 4 y) x) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2))
3.0ms	z	@	0	((* (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) x) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) (/ (+ (* (/ z y) -4) 2) x) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ 4 y) x) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2))
3.0ms	y	@	inf	((* (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) x) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) (/ (+ (* (/ z y) -4) 2) x) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ 4 y) x) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2))
3.0ms	x	@	0	((* (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) x) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) (/ (+ (* (/ z y) -4) 2) x) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ 4 y) x) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2))
3.0ms	z	@	inf	((* (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) x) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) (/ (+ (* (/ z y) -4) 2) x) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ 4 y) x) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2))

simplify110.0ms (2.7%)

Memory

31.4MiB live, 31.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	4080
1	391	4080
2	1086	3220
3	2712	3069
4	5727	2998
0	8106	2729

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

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

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

rewrite140.0ms (3.4%)

Memory

51.8MiB live, 51.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	157
0	40	157
1	171	157
2	1452	157
0	8485	147

Stop Event

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

Counts

13 → 338

Calls

Call 1

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

Outputs
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eval99.0ms (2.4%)

Memory: 67.7MiB live, 67.7MiB allocated
Compiler: Compiled 12 584 to 1 711 computations (86.4% saved)

prune45.0ms (1.1%)

Memory

39.2MiB live, 39.2MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	783	4	787
Fresh	0	2	2
Picked	2	3	5
Done	0	0	0
Total	785	9	794

Accuracy

100.0%

Counts

794 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.6%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
✓	69.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
▶	38.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
▶	36.6%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
▶	69.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
✓	36.6%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
	60.7%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 #s(approx (- (/ (+ ( (/ z y) -4) 2) x) (/ -4 y)) (/.f64 (fma.f64 (/.f64 z x) #s(literal -4 binary64) #s(literal 4 binary64)) y)) x))
▶	31.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 #s(approx (- (/ (+ ( (/ z y) -4) 2) x) (/ -4 y)) (/.f64 #s(literal 2 binary64) x)) x))
✓	31.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Compiler

Compiled 107 to 118 computations (-10.3% saved)

simplify91.0ms (2.2%)

Memory

20.0MiB live, 20.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 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) x)
cost-diff	0	(/.f64 (*.f64 #s(literal 4 binary64) x) y)
cost-diff	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
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))
cost-diff	0	(/.f64 #s(literal 2 binary64) x)
cost-diff	0	#s(approx (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) (/.f64 #s(literal 2 binary64) x))
cost-diff	0	(.f64 #s(approx (- (/ (+ ( (/ z y) -4) 2) x) (/ -4 y)) (/.f64 #s(literal 2 binary64) x)) x)
cost-diff	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 #s(approx (- (/ (+ ( (/ z y) -4) 2) x) (/ -4 y)) (/.f64 #s(literal 2 binary64) x)) x))
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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	204
0	49	204
1	77	204
2	114	204
3	200	204
4	415	194
5	1104	184
6	3504	184
7	6663	184
0	8134	179

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

localize70.0ms (1.7%)

Memory

25.9MiB live, 25.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))
accuracy	0	(/.f64 z y)
accuracy	21.39310572641881	#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) x) y)
accuracy	0	(*.f64 #s(literal 4 binary64) x)
accuracy	39.08827222428981	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
accuracy	0	(/.f64 (*.f64 #s(literal -4 binary64) z) y)
accuracy	0	(*.f64 #s(literal -4 binary64) z)
accuracy	40.55144154107591	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
accuracy	0	(/.f64 #s(literal 2 binary64) x)
accuracy	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 #s(approx (- (/ (+ ( (/ z y) -4) 2) x) (/ -4 y)) (/.f64 #s(literal 2 binary64) x)) x))
accuracy	4.599796283820065	(.f64 #s(approx (- (/ (+ ( (/ z y) -4) 2) x) (/ -4 y)) (/.f64 #s(literal 2 binary64) x)) x)
accuracy	43.349421921351166	#s(approx (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) (/.f64 #s(literal 2 binary64) x))
accuracy	0	(-.f64 x z)
accuracy	0	(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
accuracy	0.0078125	(/.f64 (-.f64 x z) y)
accuracy	19.805619681797353	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))

Samples

51.0ms

256×

valid

Compiler

Compiled 258 to 54 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-div: 14.0ms (41.8% of total)

ival-mult: 11.0ms (32.9% of total)

ival-sub: 4.0ms (11.9% of total)

ival-add: 4.0ms (11.9% of total)

exact: 1.0ms (3% of total)

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

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

series37.0ms (0.9%)

Memory

18.0MiB live, 18.0MiB allocated

Counts

17 → 480

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

Calls

9 calls:

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

simplify146.0ms (3.5%)

Memory

41.1MiB live, 41.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	4704
1	527	4614
2	1537	4422
3	4525	3987
4	7718	3330
0	8353	3088

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 477

Calls

Call 1

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

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

rewrite149.0ms (3.6%)

Memory

52.6MiB live, 52.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	188
0	49	188
1	196	188
2	1572	188
0	8956	178

Stop Event

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

Counts

17 → 276

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)) (.f64 #s(approx (- (/ (+ ( (/ z y) -4) 2) x) (/ -4 y)) (/.f64 #s(literal 2 binary64) x)) x))
(.f64 #s(approx (- (/ (+ ( (/ z y) -4) 2) x) (/ -4 y)) (/.f64 #s(literal 2 binary64) x)) x)
#s(approx (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#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)) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(*.f64 #s(literal 4 binary64) x)
#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
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eval93.0ms (2.3%)

Memory: 61.8MiB live, 61.8MiB allocated
Compiler: Compiled 8 203 to 1 210 computations (85.2% saved)

prune48.0ms (1.2%)

Memory

36.9MiB live, 36.9MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	752	1	753
Fresh	1	0	1
Picked	0	5	5
Done	0	3	3
Total	753	9	762

Accuracy

100.0%

Counts

762 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.6%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
✓	69.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
✓	38.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
✓	36.6%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
✓	69.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
✓	36.6%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
▶	65.5%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)))
✓	31.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 #s(approx (- (/ (+ ( (/ z y) -4) 2) x) (/ -4 y)) (/.f64 #s(literal 2 binary64) x)) x))
✓	31.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Compiler

Compiled 59 to 67 computations (-13.6% saved)

simplify114.0ms (2.8%)

Memory

26.0MiB live, 26.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x y)
cost-diff	0	(*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))
cost-diff	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)))
cost-diff	704	(-.f64 (/.f64 x y) (/.f64 z y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	49
0	21	49
1	36	49
2	75	49
3	150	49
4	288	42
5	603	39
6	1750	39
7	4855	39
8	7969	39
0	8171	38

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

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

localize36.0ms (0.9%)

Memory

12.7MiB live, 12.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x y)
accuracy	0	(*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))
accuracy	2.003897993320823	(-.f64 (/.f64 x y) (/.f64 z y))
accuracy	19.805619681797353	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)))

Samples

27.0ms

256×

valid

Compiler

Compiled 77 to 27 computations (64.9% saved)

Precisions

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

ival-div: 5.0ms (29.8% of total)

ival-mult: 5.0ms (29.8% of total)

ival-add: 3.0ms (17.9% of total)

ival-sub: 2.0ms (11.9% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.3%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

4 → 132

Calls

Call 1

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

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

Calls

9 calls:

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

simplify110.0ms (2.7%)

Memory

27.8MiB live, 27.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	1105
1	310	1105
2	902	965
3	2957	900
4	6972	793
0	8379	764

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

rewrite124.0ms (3%)

Memory

43.9MiB live, 43.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	42
0	21	36
1	108	36
2	1041	36
0	8171	34

Stop Event

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

Counts

4 → 224

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval45.0ms (1.1%)

Memory: 31.0MiB live, 31.0MiB allocated
Compiler: Compiled 5 896 to 1 045 computations (82.3% saved)

prune18.0ms (0.4%)

Memory

18.1MiB live, 18.1MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	356	0	356
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	356	9	365

Accuracy

100.0%

Counts

365 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.6%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
✓	69.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
✓	38.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
✓	36.6%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
✓	69.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
✓	36.6%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
✓	65.5%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)))
✓	31.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 #s(approx (- (/ (+ ( (/ z y) -4) 2) x) (/ -4 y)) (/.f64 #s(literal 2 binary64) x)) x))
✓	31.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Compiler

Compiled 164 to 121 computations (26.2% saved)

regimes25.0ms (0.6%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Results

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

Compiler

Compiled 27 to 31 computations (-14.8% saved)

regimes21.0ms (0.5%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
89.4%	3	`x`
91.3%	3	`y`
89.1%	3	`z`
98.9%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
98.9%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 27 to 31 computations (-14.8% saved)

regimes19.0ms (0.5%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

8 → 3

Calls

Call 1

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

5 calls:

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

Results

Accuracy	Segments	Branch
86.7%	3	`z`
88.7%	3	`x`
79.6%	5	`y`
73.3%	2	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
73.3%	2	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 27 to 31 computations (-14.8% saved)

regimes8.0ms (0.2%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

7 → 3

Calls

Call 1

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

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) z) y))

Calls

2 calls:

3.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
80.9%	3	`z`
77.1%	5	`x`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes16.0ms (0.4%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

6 → 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 #s(approx (- (/ (+ ( (/ z y) -4) 2) x) (/ -4 y)) (/.f64 #s(literal 2 binary64) x)) x))
#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 #s(literal 4 binary64) y) x))
#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 #s(literal 4 binary64) x) y))

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

Calls

5 calls:

3.0ms	y
3.0ms	x
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
64.8%	6	`x`
72.1%	4	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
72.1%	4	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`
66.7%	5	`y`
62.0%	4	`z`

Compiler

Compiled 27 to 31 computations (-14.8% saved)

regimes6.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

5 → 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 #s(approx (- (/ (+ ( (/ z y) -4) 2) x) (/ -4 y)) (/.f64 #s(literal 2 binary64) x)) x))
#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 #s(literal 4 binary64) y) x))
#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 #s(literal 4 binary64) y) x))
#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) z) y))

Calls

2 calls:

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
72.1%	4	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
72.1%	4	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 24 to 22 computations (8.3% saved)

regimes5.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB 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 #s(approx (- (/ (+ ( (/ z y) -4) 2) x) (/ -4 y)) (/.f64 #s(literal 2 binary64) x)) x))
#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 #s(literal 4 binary64) y) x))

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

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
72.1%	4	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
72.1%	4	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 24 to 22 computations (8.3% saved)

regimes5.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

#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:

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
65.5%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
65.5%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 24 to 22 computations (8.3% saved)

regimes10.0ms (0.2%)

Memory

7.6MiB live, 7.6MiB allocated

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

5 calls:

2.0ms	x
2.0ms	y
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
31.8%	1	`x`
31.8%	1	`z`
31.8%	1	`y`
31.8%	1	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
31.8%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 27 to 31 computations (-14.8% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	46204928.14999562	84671752.83411258
0.0ms	-259300016948422.2	-88053747126030.19

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch39.0ms (1%)

Memory

12.2MiB live, 12.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.6165886321406014e+20	4.5872043635223955e+37
17.0ms	-7.410704390091312e+66	-8.976814843279282e+56

Samples

21.0ms

320×

valid

Compiler

Compiled 296 to 378 computations (-27.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 4.0ms (32.2% of total)

ival-add: 3.0ms (24.1% of total)

ival-sub: 2.0ms (16.1% of total)

ival-div: 2.0ms (16.1% of total)

exact: 1.0ms (8% of total)

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

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

bsearch32.0ms (0.8%)

Memory

9.7MiB live, 9.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	8.515453932551935e+114	9.22322994552173e+118
14.0ms	-2.5599005386628706e+104	-2.5202803313639844e+101

Samples

18.0ms

256×

valid

Compiler

Compiled 224 to 290 computations (-29.5% saved)

Precisions

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

ival-mult: 4.0ms (39.3% of total)

ival-add: 3.0ms (29.4% of total)

ival-div: 2.0ms (19.6% of total)

ival-sub: 1.0ms (9.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	46204928.14999562	84671752.83411258
0.0ms	-163.81090244322797	0.9999999839135576
0.0ms	-4.595637542851561e+62	-1.4752190928937134e+56

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	46204928.14999562	84671752.83411258
0.0ms	-163.81090244322797	0.9999999839135576
0.0ms	-4.595637542851561e+62	-1.4752190928937134e+56

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	46204928.14999562	84671752.83411258
0.0ms	-163.81090244322797	0.9999999839135576
0.0ms	-4.595637542851561e+62	-1.4752190928937134e+56

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	46204928.14999562	84671752.83411258
0.0ms	-163.81090244322797	0.9999999839135576

Compiler

Compiled 16 to 18 computations (-12.5% saved)

simplify31.0ms (0.8%)

Memory

19.6MiB live, 19.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	675
1	86	675
2	91	675
3	93	675
4	94	675

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 -200000000000000 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 50000000 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 (-.f64 x z) y) #s(literal 4 binary64)))))
(if (<=.f64 x #s(literal -1459999999999999934668703689963826832116637532776549524998979584 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 400000000000000021464648817573888 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 -240000000000000000459762020576320496691829230543646082676672843503851037808957301430696674825963277647872 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (if (<=.f64 z #s(literal 4700000000000000055631250010230066819080528748588017814012566280879219280068186954065807339005715618290064103894417408 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) z) y))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -400000000000000014008798743772644692184321271193247302419480576 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal 4 binary64) x) y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -100 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 50000000 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) z) y)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -400000000000000014008798743772644692184321271193247302419480576 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -100 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 50000000 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) z) y)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -400000000000000014008798743772644692184321271193247302419480576 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -100 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 50000000 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 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -100 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 50000000 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 -200000000000000 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 50000000 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 (-.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 -200000000000000 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 50000000 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 (-.f64 x z) y) #s(literal 4 binary64)))))
(if (<=.f64 x #s(literal -1459999999999999934668703689963826832116637532776549524998979584 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 400000000000000021464648817573888 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 -240000000000000000459762020576320496691829230543646082676672843503851037808957301430696674825963277647872 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (if (<=.f64 z #s(literal 4700000000000000055631250010230066819080528748588017814012566280879219280068186954065807339005715618290064103894417408 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) z) y))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -400000000000000014008798743772644692184321271193247302419480576 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 #s(literal 4 binary64) x) y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -100 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 50000000 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) z) y)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -400000000000000014008798743772644692184321271193247302419480576 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 x #s(literal 4 binary64)) y)) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -100 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 50000000 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) z) y)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -400000000000000014008798743772644692184321271193247302419480576 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -100 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 50000000 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) z) y)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -400000000000000014008798743772644692184321271193247302419480576 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -100 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 50000000 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) z) y)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -400000000000000014008798743772644692184321271193247302419480576 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -100 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 50000000 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 -400000000000000014008798743772644692184321271193247302419480576 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -100 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 50000000 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 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -100 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 50000000 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 -100 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 50000000 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))

soundness615.0ms (14.9%)

Memory

12.1MiB live, 12.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	157
0	40	157
1	171	157
2	1452	157
0	8485	147
0	120	1412
1	360	1259
2	963	1200
3	3612	976
0	8429	865

Stop Event

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

Compiler

Compiled 436 to 192 computations (56% saved)

preprocess67.0ms (1.6%)

Memory: 42.8MiB live, 42.8MiB allocated
Compiler: Compiled 726 to 154 computations (78.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze35.0ms (0.9%)

sample701.0ms (17%)

explain178.0ms (4.3%)

preprocess138.0ms (3.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify89.0ms (2.2%)

localize23.0ms (0.6%)

series13.0ms (0.3%)

simplify128.0ms (3.1%)

rewrite138.0ms (3.4%)

eval65.0ms (1.6%)

prune19.0ms (0.5%)

simplify97.0ms (2.4%)

localize64.0ms (1.5%)

series41.0ms (1%)

simplify110.0ms (2.7%)

rewrite140.0ms (3.4%)

eval99.0ms (2.4%)

prune45.0ms (1.1%)

simplify91.0ms (2.2%)

localize70.0ms (1.7%)

series37.0ms (0.9%)

simplify146.0ms (3.5%)

rewrite149.0ms (3.6%)

eval93.0ms (2.3%)

prune48.0ms (1.2%)

simplify114.0ms (2.8%)

localize36.0ms (0.9%)

series13.0ms (0.3%)

simplify110.0ms (2.7%)

rewrite124.0ms (3%)

eval45.0ms (1.1%)

prune18.0ms (0.4%)

regimes25.0ms (0.6%)

regimes21.0ms (0.5%)

regimes19.0ms (0.5%)

regimes8.0ms (0.2%)

regimes16.0ms (0.4%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes10.0ms (0.2%)

bsearch1.0ms (0%)

bsearch39.0ms (1%)

bsearch32.0ms (0.8%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify31.0ms (0.8%)

soundness615.0ms (14.9%)

preprocess67.0ms (1.6%)

end0.0ms (0%)

Profiling