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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze46.0ms (0.6%)

Memory

-5.0MiB live, 82.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample1.2s (16.6%)

Memory

-111.3MiB live, 1 782.3MiB allocated

Samples

678.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 423.0ms

ival-mult: 180.0ms (42.6% of total)

ival-add: 82.0ms (19.4% of total)

ival-sub: 71.0ms (16.8% of total)

ival-div: 69.0ms (16.3% of total)

exact: 11.0ms (2.6% of total)

ival-true: 6.0ms (1.4% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain142.0ms (2%)

Memory

27.3MiB live, 267.3MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms	510×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 179 to 52 computations (70.9% saved)

Precisions

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

ival-mult: 7.0ms (34.4% of total)

ival-add: 5.0ms (24.6% of total)

ival-div: 4.0ms (19.7% of total)

ival-sub: 3.0ms (14.8% of total)

exact: 1.0ms (4.9% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess161.0ms (2.3%)

Memory

-4.7MiB live, 234.4MiB 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(+.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)

simplify188.0ms (2.6%)

Memory

-27.1MiB live, 168.1MiB 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

localize29.0ms (0.4%)

Memory

34.3MiB live, 72.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y #s(literal 1/4 binary64))
accuracy	0	(.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z))
accuracy	0.00390625	(-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)
accuracy	0.23797231824345452	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)

Samples

22.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 110 to 26 computations (76.4% saved)

Precisions

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

ival-mult: 3.0ms (31.1% of total)

ival-div: 2.0ms (20.7% of total)

ival-add: 2.0ms (20.7% of total)

ival-sub: 1.0ms (10.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series53.0ms (0.8%)

Memory

-14.7MiB live, 71.3MiB allocated

Counts

6 → 180

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

Calls

9 calls:

Time	Variable		Point	Expression
34.0ms	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) (- (+ x (* y 1/4)) z) (* y 1/4))
5.0ms	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) (- (+ x (* y 1/4)) z) (* y 1/4))
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) (- (+ x (* y 1/4)) z) (* y 1/4))
1.0ms	y	@	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) (- (+ x (* y 1/4)) z) (* 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) (- (+ x (* y 1/4)) z) (* y 1/4))

simplify135.0ms (1.9%)

Memory

-16.0MiB live, 219.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	1638
1	440	1503
2	1212	1432
3	4815	1276
0	8282	1141

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 173

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

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

rewrite451.0ms (6.3%)

Memory

-3.4MiB live, 274.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
0	18	48
1	74	48
2	629	48
0	8480	42

Stop Event

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

Counts

6 → 441

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

Outputs
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eval127.0ms (1.8%)

Memory: -1.8MiB live, 241.6MiB allocated
Compiler: Compiled 14 719 to 2 005 computations (86.4% saved)

prune38.0ms (0.5%)

Memory

13.1MiB live, 52.2MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	606	8	614
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	607	8	615

Accuracy

100.0%

Counts

615 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.3%	(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y))
▶	100.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
▶	69.1%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z)))
	66.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
▶	34.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
	36.7%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
▶	90.4%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 4 binary64) y) z)) x) (/.f64 #s(literal -4 binary64) y)) x))
▶	34.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Compiler

Compiled 126 to 136 computations (-7.9% saved)

simplify157.0ms (2.2%)

Memory

-11.3MiB live, 145.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z)) x) (/.f64 #s(literal -4 binary64) y))
cost-diff	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 4 binary64) y) z)) x) (/.f64 #s(literal -4 binary64) y)) x))
cost-diff	128	(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z))
cost-diff	1728	(.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 4 binary64) y) z)) x) (/.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 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z)))
cost-diff	128	(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z))
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	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
cost-diff	0	(-.f64 x z)
cost-diff	0	(/.f64 (-.f64 x z) y)
cost-diff	0	(fma.f64 (/.f64 (-.f64 x 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 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	219
0	42	205
1	79	205
2	153	205
3	349	195
4	1061	195
5	4424	180
6	7972	180
0	8299	175

Stop Event

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

Calls

Call 1

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

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

localize75.0ms (1.1%)

Memory

30.6MiB live, 104.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z)) x) (/.f64 #s(literal -4 binary64) y))
accuracy	0.2109375	(*.f64 (/.f64 #s(literal 4 binary64) y) z)
accuracy	3.835643500876231	(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z)) x)
accuracy	4.590637982332489	(.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 4 binary64) y) z)) x) (/.f64 #s(literal -4 binary64) y)) x)
accuracy	0	(/.f64 #s(literal 4 binary64) y)
accuracy	0	(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z))
accuracy	0.2109375	(*.f64 (/.f64 #s(literal 4 binary64) y) z)
accuracy	19.69119977486434	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z)))
accuracy	0	(/.f64 #s(literal 4 binary64) y)
accuracy	0.2421875	(*.f64 (/.f64 #s(literal 4 binary64) y) x)
accuracy	41.592257173854996	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
accuracy	42.24313614396631	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
accuracy	0	(/.f64 (-.f64 x z) y)
accuracy	0	(-.f64 x z)
accuracy	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
accuracy	0.00390625	(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))

Samples

50.0ms

256×

valid

Compiler

Compiled 335 to 50 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 14.0ms (43.2% of total)

ival-div: 9.0ms (27.8% of total)

ival-sub: 5.0ms (15.4% of total)

ival-add: 4.0ms (12.3% of total)

exact: 1.0ms (3.1% of total)

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

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

series51.0ms (0.7%)

Memory

10.4MiB live, 94.5MiB allocated

Counts

15 → 468

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	z	@	-inf	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ 4 y) x) (/ 4 y) (- 2 (* (/ 4 y) z)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ 4 y) z) (* (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) x) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) (/ (- 2 (* (/ 4 y) z)) x))
6.0ms	y	@	0	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ 4 y) x) (/ 4 y) (- 2 (* (/ 4 y) z)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ 4 y) z) (* (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) x) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) (/ (- 2 (* (/ 4 y) z)) x))
5.0ms	x	@	-inf	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ 4 y) x) (/ 4 y) (- 2 (* (/ 4 y) z)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ 4 y) z) (* (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) x) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) (/ (- 2 (* (/ 4 y) z)) x))
3.0ms	x	@	0	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ 4 y) x) (/ 4 y) (- 2 (* (/ 4 y) z)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ 4 y) z) (* (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) x) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) (/ (- 2 (* (/ 4 y) z)) x))
3.0ms	z	@	0	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ 4 y) x) (/ 4 y) (- 2 (* (/ 4 y) z)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ 4 y) z) (* (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) x) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) (/ (- 2 (* (/ 4 y) z)) x))

simplify339.0ms (4.8%)

Memory

-20.4MiB live, 297.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	194	4466
1	572	3720
2	1621	3690
3	4579	3614
0	8132	3298

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 465

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

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

rewrite194.0ms (2.7%)

Memory

2.0MiB live, 229.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	179
0	42	179
1	193	179
2	1686	179
0	8295	163

Stop Event

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

Counts

15 → 508

Calls

Call 1

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

Outputs
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eval195.0ms (2.7%)

Memory: -3.3MiB live, 280.8MiB allocated
Compiler: Compiled 20 440 to 2 737 computations (86.6% saved)

prune42.0ms (0.6%)

Memory

18.9MiB live, 108.2MiB allocated

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	1 165	6	1 171
Fresh	1	2	3
Picked	3	2	5
Done	0	0	0
Total	1 169	10	1 179

Accuracy

100.0%

Counts

1 179 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
▶	69.2%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
▶	66.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64)))
	35.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
	66.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
▶	36.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
	36.7%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
▶	56.3%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 #s(approx (- (/ (- 2 ( (/ 4 y) z)) x) (/ -4 y)) (/.f64 (fma.f64 (/.f64 z x) #s(literal -4 binary64) #s(literal 4 binary64)) y)) x))
▶	33.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 #s(approx (- (/ (- 2 ( (/ 4 y) z)) x) (/ -4 y)) (/.f64 #s(literal 2 binary64) x)) x))
✓	34.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Compiler

Compiled 131 to 144 computations (-9.9% saved)

simplify112.0ms (1.6%)

Memory

4.1MiB live, 113.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	297
0	54	297
1	91	291
2	161	291
3	323	281
4	847	281
5	3316	271
6	6456	271
0	8084	266

Stop Event

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

Calls

Call 1

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

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

localize121.0ms (1.7%)

Memory

8.0MiB live, 160.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 #s(approx (- (/ (- 2 ( (/ 4 y) z)) x) (/ -4 y)) (/.f64 (fma.f64 (/.f64 z x) #s(literal -4 binary64) #s(literal 4 binary64)) y)) x))
accuracy	3.5764996917440426	(/.f64 (fma.f64 (/.f64 z x) #s(literal -4 binary64) #s(literal 4 binary64)) y)
accuracy	4.590637982332489	(.f64 #s(approx (- (/ (- 2 ( (/ 4 y) z)) x) (/ -4 y)) (/.f64 (fma.f64 (/.f64 z x) #s(literal -4 binary64) #s(literal 4 binary64)) y)) x)
accuracy	21.176873010694678	#s(approx (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) (/.f64 (fma.f64 (/.f64 z x) #s(literal -4 binary64) #s(literal 4 binary64)) y))
accuracy	0	(/.f64 x y)
accuracy	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64)))
accuracy	0.00390625	(fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64))
accuracy	31.190178682054864	#s(approx (/ (- x z) y) (/.f64 x y))
accuracy	0	(/.f64 z y)
accuracy	0.025722509768442016	(*.f64 (/.f64 z y) #s(literal -4 binary64))
accuracy	40.47570527409933	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
accuracy	0	(/.f64 #s(literal 2 binary64) x)
accuracy	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 #s(approx (- (/ (- 2 ( (/ 4 y) z)) x) (/ -4 y)) (/.f64 #s(literal 2 binary64) x)) x))
accuracy	4.590637982332489	(.f64 #s(approx (- (/ (- 2 ( (/ 4 y) z)) x) (/ -4 y)) (/.f64 #s(literal 2 binary64) x)) x)
accuracy	42.05106582928565	#s(approx (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) (/.f64 #s(literal 2 binary64) x))
accuracy	0	(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))
accuracy	0	(/.f64 z y)
accuracy	19.69119977486434	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))

Samples

101.0ms

256×

valid

Compiler

Compiled 337 to 61 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-add: 26.0ms (40.4% of total)

ival-div: 21.0ms (32.7% of total)

ival-mult: 11.0ms (17.1% of total)

ival-sub: 5.0ms (7.8% of total)

exact: 1.0ms (1.6% of total)

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

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

series59.0ms (0.8%)

Memory

-6.7MiB live, 74.6MiB allocated

Counts

17 → 540

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	y	@	0	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ z y) -4) 2) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) x) (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) (/ 2 x) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ z y) -4) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (/ (- x z) y) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) x) (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) (/ (+ (* (/ z x) -4) 4) y))
7.0ms	x	@	-inf	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ z y) -4) 2) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) x) (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) (/ 2 x) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ z y) -4) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (/ (- x z) y) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) x) (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) (/ (+ (* (/ z x) -4) 4) y))
3.0ms	y	@	-inf	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ z y) -4) 2) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) x) (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) (/ 2 x) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ z y) -4) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (/ (- x z) y) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) x) (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) (/ (+ (* (/ z x) -4) 4) y))
2.0ms	z	@	-inf	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ z y) -4) 2) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) x) (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) (/ 2 x) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ z y) -4) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (/ (- x z) y) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) x) (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) (/ (+ (* (/ z x) -4) 4) y))
2.0ms	y	@	inf	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ z y) -4) 2) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) x) (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) (/ 2 x) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ z y) -4) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (/ (- x z) y) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) x) (- (/ (- 2 (* (/ 4 y) z)) x) (/ -4 y)) (/ (+ (* (/ z x) -4) 4) y))

simplify163.0ms (2.3%)

Memory

-10.0MiB live, 151.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	5591
1	522	5017
2	1506	4333
3	3671	4167
4	7802	4167
0	8469	3778

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

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

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

rewrite210.0ms (3%)

Memory

40.7MiB live, 225.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	267
0	54	267
1	252	261
2	2090	261
0	8532	251

Stop Event

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

Counts

17 → 219

Calls

Call 1

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

Outputs
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eval130.0ms (1.8%)

Memory: -29.9MiB live, 163.9MiB allocated
Compiler: Compiled 9 320 to 1 020 computations (89.1% saved)

prune37.0ms (0.5%)

Memory

-10.2MiB live, 80.7MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	805	0	805
Fresh	0	3	3
Picked	0	5	5
Done	0	2	2
Total	805	10	815

Accuracy

100.0%

Counts

815 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
✓	69.2%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
✓	66.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64)))
▶	35.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
▶	66.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
✓	36.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
▶	36.7%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
✓	56.3%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 #s(approx (- (/ (- 2 ( (/ 4 y) z)) x) (/ -4 y)) (/.f64 (fma.f64 (/.f64 z x) #s(literal -4 binary64) #s(literal 4 binary64)) y)) x))
✓	33.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 #s(approx (- (/ (- 2 ( (/ 4 y) z)) x) (/ -4 y)) (/.f64 #s(literal 2 binary64) x)) x))
✓	34.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Compiler

Compiled 71 to 79 computations (-11.3% saved)

simplify168.0ms (2.4%)

Memory

21.4MiB live, 185.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
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 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)))
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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	100
0	30	100
1	54	100
2	87	100
3	146	100
4	272	94
5	555	88
6	1647	88
7	4364	88
8	7169	88
0	8074	85

Stop Event

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

Calls

Call 1

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

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

localize237.0ms (3.3%)

Memory

-13.6MiB live, 111.9MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 (*.f64 #s(literal 4 binary64) x) y)
accuracy	0	(*.f64 #s(literal 4 binary64) x)
accuracy	41.592257173854996	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
accuracy	0	(/.f64 (-.f64 x z) y)
accuracy	0	(-.f64 x z)
accuracy	0.010097509768442016	(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
accuracy	21.1581521483874	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
accuracy	0	(/.f64 #s(literal -4 binary64) y)
accuracy	0.2109375	(*.f64 (/.f64 #s(literal -4 binary64) y) z)
accuracy	40.47570527409933	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))

Samples

226.0ms

256×

valid

Compiler

Compiled 143 to 37 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 207.0ms

ival-mult: 194.0ms (93.7% of total)

ival-div: 7.0ms (3.4% of total)

ival-sub: 2.0ms (1% of total)

ival-add: 2.0ms (1% of total)

exact: 1.0ms (0.5% of total)

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

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

series43.0ms (0.6%)

Memory

-1.1MiB live, 38.0MiB allocated

Counts

10 → 276

Calls

Call 1

Inputs
#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 (-.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 (.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>) () ())

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

Calls

9 calls:

Time	Variable		Point	Expression
25.0ms	y	@	-inf	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 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)) (/ (* 4 x) y) (* 4 x))
2.0ms	y	@	inf	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 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)) (/ (* 4 x) y) (* 4 x))
2.0ms	y	@	0	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 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)) (/ (* 4 x) y) (* 4 x))
1.0ms	x	@	-inf	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 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)) (/ (* 4 x) y) (* 4 x))
1.0ms	x	@	inf	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 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)) (/ (* 4 x) y) (* 4 x))

simplify288.0ms (4.1%)

Memory

4.6MiB live, 161.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	2520
1	336	2430
2	964	2250
3	2898	2064
4	5862	1788
0	8161	1692

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 273

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 (/ 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))))
(* 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))))
(* -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 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))
(* -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 (+ (* -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 (/ (- 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 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 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)
(* 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)))
(* -4 (/ z y))
(* -4 (/ z y))
(* -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 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)))
(* 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)))
(* -4 (/ z y))
(* -4 (/ z y))
(* -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 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)))
(* 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))))
(+ 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))))
(* 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))
(* 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))
(* 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)))))
(* 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))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)

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

rewrite181.0ms (2.6%)

Memory

17.1MiB live, 169.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	90
0	30	90
1	121	90
2	906	90
0	8495	84

Stop Event

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

Counts

10 → 291

Calls

Call 1

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

Outputs
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eval149.0ms (2.1%)

Memory: -16.6MiB live, 147.4MiB allocated
Compiler: Compiled 6 676 to 1 111 computations (83.4% saved)

prune47.0ms (0.7%)

Memory

21.0MiB live, 57.2MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	564	0	564
Fresh	0	0	0
Picked	0	3	3
Done	0	7	7
Total	564	10	574

Accuracy

100.0%

Counts

574 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
✓	69.2%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
✓	66.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64)))
✓	35.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
✓	66.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
✓	36.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
✓	36.7%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
✓	56.3%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 #s(approx (- (/ (- 2 ( (/ 4 y) z)) x) (/ -4 y)) (/.f64 (fma.f64 (/.f64 z x) #s(literal -4 binary64) #s(literal 4 binary64)) y)) x))
✓	33.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 #s(approx (- (/ (- 2 ( (/ 4 y) z)) x) (/ -4 y)) (/.f64 #s(literal 2 binary64) x)) x))
✓	34.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Compiler

Compiled 193 to 139 computations (28% saved)

regimes35.0ms (0.5%)

Memory

-31.3MiB live, 48.6MiB allocated

Counts

15 → 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 (- (/ (- 2 ( (/ 4 y) z)) 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 z y) #s(literal -4 binary64)))
#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 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #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 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y))
#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 #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 (- (/ (- 2 ( (/ 4 y) z)) 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 (-.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 4 binary64) y) z)) x) (/.f64 #s(literal -4 binary64) y)) x))

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

Calls

5 calls:

12.0ms	x
7.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)
5.0ms	y
5.0ms	z
5.0ms	(+.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)

regimes24.0ms (0.3%)

Memory

3.8MiB live, 39.8MiB allocated

Counts

11 → 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 (- (/ (- 2 ( (/ 4 y) z)) 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 z y) #s(literal -4 binary64)))
#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 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #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 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y))

Outputs

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

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

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

Calls

5 calls:

7.0ms	x
4.0ms	y
4.0ms	z
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))
4.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)

Results

Accuracy	Segments	Branch
89.9%	3	`x`
89.5%	3	`y`
90.1%	3	`z`
99.2%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
99.2%	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)

regimes10.0ms (0.1%)

Memory

29.4MiB live, 29.3MiB 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 (- (/ (- 2 ( (/ 4 y) z)) 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 z y) #s(literal -4 binary64)))
#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 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #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 z y) #s(literal -4 binary64) #s(literal 2 binary64)))

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

Calls

3 calls:

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
90.1%	3	`z`
73.6%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
73.6%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 25 to 25 computations (0% saved)

regimes12.0ms (0.2%)

Memory

-9.2MiB live, 28.9MiB 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 (- (/ (- 2 ( (/ 4 y) z)) 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 z y) #s(literal -4 binary64)))
#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 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64)))

Outputs

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

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

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

Calls

3 calls:

5.0ms	z
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
70.2%	3	`y`
70.4%	3	`x`
83.8%	3	`z`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes15.0ms (0.2%)

Memory

-1.3MiB live, 36.5MiB 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 (- (/ (- 2 ( (/ 4 y) z)) 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 z y) #s(literal -4 binary64)))
#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 z y) #s(literal -4 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal 4 binary64) x) y))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
65.8%	7	`y`
60.6%	4	`x`
70.8%	4	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
70.8%	4	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`
62.3%	5	`z`

Compiler

Compiled 27 to 31 computations (-14.8% saved)

regimes5.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB 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 (- (/ (- 2 ( (/ 4 y) z)) 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 z y) #s(literal -4 binary64)))

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

Calls

2 calls:

2.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
70.7%	4	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
70.7%	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)

regimes8.0ms (0.1%)

Memory

-32.6MiB live, 12.4MiB 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 (- (/ (- 2 ( (/ 4 y) z)) 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) x))

Calls

2 calls:

6.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
70.7%	4	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
70.7%	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)

regimes4.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB 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 (- (/ (- 2 (* (/ 4 y) z)) 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 (*.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
67.5%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
67.5%	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)

regimes8.0ms (0.1%)

Memory

23.4MiB live, 23.4MiB 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 (- (/ (- 2 (* (/ 4 y) z)) 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	y
2.0ms	x
2.0ms	z
1.0ms	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))
1.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)

Results

Accuracy	Segments	Branch
34.0%	1	`x`
34.0%	1	`z`
34.0%	1	`y`
34.0%	1	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
34.0%	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)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	69094657278138.89	338555459321466200.0
0.0ms	-382.3814079507864	0.9997491070817565

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch28.0ms (0.4%)

Memory

2.2MiB live, 75.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.1984580884335547e+33	1.2945665631170193e+39
6.0ms	-1.594230727205349e-44	-8.074024870942858e-45

Samples

13.0ms

208×

valid

Compiler

Compiled 211 to 265 computations (-25.6% saved)

Precisions

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

ival-mult: 3.0ms (38.5% of total)

ival-div: 2.0ms (25.7% of total)

ival-add: 2.0ms (25.7% of total)

ival-sub: 1.0ms (12.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch203.0ms (2.9%)

Memory

-29.5MiB live, 52.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
183.0ms	7.754154649201811e+209	1.3112906176248282e+214
16.0ms	-3.7781852243126956e+138	-2.781683008366367e+132

Samples

187.0ms

272×

valid

Compiler

Compiled 254 to 324 computations (-27.6% saved)

Precisions

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

ival-mult: 4.0ms (40% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	69094657278138.89	338555459321466200.0
0.0ms	-382.3814079507864	0.9997491070817565
0.0ms	-2.2356881603520813e+147	-2.0673340964756335e+140

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	69094657278138.89	338555459321466200.0
0.0ms	-382.3814079507864	0.9997491070817565
0.0ms	-2.2356881603520813e+147	-2.0673340964756335e+140

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	69094657278138.89	338555459321466200.0
0.0ms	-382.3814079507864	0.9997491070817565
0.0ms	-2.2356881603520813e+147	-2.0673340964756335e+140

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2254989600714266	44.49235323069117
0.0ms	-382.3814079507864	0.9997491070817565

Compiler

Compiled 16 to 18 computations (-12.5% saved)

simplify33.0ms (0.5%)

Memory

9.2MiB live, 83.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	696
1	91	696
2	96	696
3	98	696
4	99	696

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -200 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 100000000000000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))))
(if (<=.f64 z #s(literal -6226884921503587/401734511064747568885490523085290650630550748445698208825344 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))) (if (<=.f64 z #s(literal 32000000000000001357460395968574783488 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #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)))))
(if (<=.f64 z #s(literal -12500000000000000410519531115061575987337657079495146193903917828234337586234849944300016445346592658549368809804030444733106132927643648 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 z y) #s(literal -4 binary64))) (if (<=.f64 z #s(literal 800000000000000058489505746603882056892927628563364056033790099552889937790234281500290728115085930134088550399758105002679222332841944357364375266022779512351444608434220677868499692622837270251823078788038656 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 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 -1999999999999999955992764811315320348729647778935602161544506489938527878458214984853852098846521027939536536831074154937676864613462292790727671808 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 -200 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 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 100000000000000 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) x) y)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -1999999999999999955992764811315320348729647778935602161544506489938527878458214984853852098846521027939536536831074154937676864613462292790727671808 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 -200 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 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 100000000000000 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) x)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -1999999999999999955992764811315320348729647778935602161544506489938527878458214984853852098846521027939536536831074154937676864613462292790727671808 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 -200 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 100000000000000 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) x)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -200 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Outputs
#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)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -200 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 100000000000000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -200 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 100000000000000 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 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)))))
(if (<=.f64 z #s(literal -6226884921503587/401734511064747568885490523085290650630550748445698208825344 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))) (if (<=.f64 z #s(literal 32000000000000001357460395968574783488 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #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)))))
(if (<=.f64 z #s(literal -12500000000000000410519531115061575987337657079495146193903917828234337586234849944300016445346592658549368809804030444733106132927643648 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 z y) #s(literal -4 binary64))) (if (<=.f64 z #s(literal 800000000000000058489505746603882056892927628563364056033790099552889937790234281500290728115085930134088550399758105002679222332841944357364375266022779512351444608434220677868499692622837270251823078788038656 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64)))))
(if (<=.f64 z #s(literal -12500000000000000410519531115061575987337657079495146193903917828234337586234849944300016445346592658549368809804030444733106132927643648 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 #s(literal -4 binary64) (/.f64 z y))) (if (<=.f64 z #s(literal 800000000000000058489505746603882056892927628563364056033790099552889937790234281500290728115085930134088550399758105002679222332841944357364375266022779512351444608434220677868499692622837270251823078788038656 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))))
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(if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -200 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

soundness1.1s (15.7%)

Memory

-39.1MiB live, 583.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	194	4466
1	572	3720
2	1621	3690
3	4579	3614
0	8132	3298
0	147	1638
1	440	1503
2	1212	1432
3	4815	1276
0	8282	1141
0	30	179
0	42	179
1	193	179
2	1686	179
0	8295	163

Stop Event

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

Compiler

Compiled 482 to 234 computations (51.5% saved)

preprocess55.0ms (0.8%)

Memory: 27.2MiB live, 65.5MiB allocated
Compiler: Compiled 722 to 160 computations (77.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze46.0ms (0.6%)

sample1.2s (16.6%)

explain142.0ms (2%)

preprocess161.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify188.0ms (2.6%)

localize29.0ms (0.4%)

series53.0ms (0.8%)

simplify135.0ms (1.9%)

rewrite451.0ms (6.3%)

eval127.0ms (1.8%)

prune38.0ms (0.5%)

simplify157.0ms (2.2%)

localize75.0ms (1.1%)

series51.0ms (0.7%)

simplify339.0ms (4.8%)

rewrite194.0ms (2.7%)

eval195.0ms (2.7%)

prune42.0ms (0.6%)

simplify112.0ms (1.6%)

localize121.0ms (1.7%)

series59.0ms (0.8%)

simplify163.0ms (2.3%)

rewrite210.0ms (3%)

eval130.0ms (1.8%)

prune37.0ms (0.5%)

simplify168.0ms (2.4%)

localize237.0ms (3.3%)

series43.0ms (0.6%)

simplify288.0ms (4.1%)

rewrite181.0ms (2.6%)

eval149.0ms (2.1%)

prune47.0ms (0.7%)

regimes35.0ms (0.5%)

regimes24.0ms (0.3%)

regimes10.0ms (0.1%)

regimes12.0ms (0.2%)

regimes15.0ms (0.2%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch28.0ms (0.4%)

bsearch203.0ms (2.9%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify33.0ms (0.5%)

soundness1.1s (15.7%)

preprocess55.0ms (0.8%)

end0.0ms (0%)

Profiling