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

analyze59.0ms (0.9%)

Memory

-19.2MiB live, 67.8MiB 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)

sample1.0s (15.1%)

Memory

35.1MiB live, 1 843.2MiB allocated

Samples

666.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 414.0ms

ival-mult: 183.0ms (44.2% of total)

ival-add: 106.0ms (25.6% of total)

ival-div: 55.0ms (13.3% of total)

ival-sub: 37.0ms (8.9% of total)

ival-assert: 15.0ms (3.6% of total)

exact: 11.0ms (2.7% of total)

ival-true: 7.0ms (1.7% of total)

Bogosity

explain135.0ms (2%)

Memory

-0.8MiB live, 289.4MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

42.0ms

512×

valid

Compiler

Compiled 125 to 40 computations (68% saved)

Precisions

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

ival-mult: 11.0ms (46% of total)

ival-div: 5.0ms (20.9% of total)

ival-add: 5.0ms (20.9% of total)

ival-sub: 2.0ms (8.4% of total)

exact: 1.0ms (4.2% of total)

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

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

preprocess156.0ms (2.3%)

Memory

6.3MiB live, 203.6MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify113.0ms (1.6%)

Memory

10.9MiB live, 170.7MiB 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

localize47.0ms (0.7%)

Memory

-32.7MiB live, 91.3MiB 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	0.0078125	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))
accuracy	0.0234375	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)

Samples

24.0ms

256×

valid

Compiler

Compiled 56 to 14 computations (75% saved)

Precisions

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

ival-mult: 3.0ms (32.7% of total)

ival-div: 2.0ms (21.8% of total)

ival-add: 2.0ms (21.8% of total)

ival-sub: 1.0ms (10.9% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

33.3MiB live, 33.3MiB allocated

Counts

5 → 144

Calls

Call 1

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

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

Calls

9 calls:

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

simplify181.0ms (2.6%)

Memory

6.5MiB live, 237.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 139

Calls

Call 1

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

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

rewrite257.0ms (3.8%)

Memory

-25.9MiB live, 249.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 335

Calls

Call 1

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

Outputs
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eval114.0ms (1.7%)

Memory: 0.4MiB live, 131.9MiB allocated
Compiler: Compiled 10 560 to 1 415 computations (86.6% saved)

prune14.0ms (0.2%)

Memory

0.4MiB live, 40.2MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	465	9	474
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	466	9	475

Accuracy

100.0%

Counts

475 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.2%	(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 2 binary64)) #s(literal 16 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 4 binary64) #s(literal -1 binary64)))
▶	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)))
▶	66.7%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
	69.1%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
	66.8%	#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 #s(literal 4 binary64) y) x))
	34.2%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
▶	91.2%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) x) (/.f64 #s(literal -4 binary64) y)) x))
▶	34.1%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Compiler

Compiled 170 to 158 computations (7.1% saved)

simplify290.0ms (4.2%)

Memory

-3.9MiB live, 154.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) x)
cost-diff	0	(-.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) x) (/.f64 #s(literal -4 binary64) y))
cost-diff	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) x) (/.f64 #s(literal -4 binary64) y)) x))
cost-diff	1728	(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) x) (/.f64 #s(literal -4 binary64) y)) x)
cost-diff	0	(/.f64 z y)
cost-diff	0	(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 4 binary64) 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: 5 (0.0ms)

Iter	Nodes	Cost
0	30	201
0	43	189
1	72	189
2	118	189
3	213	189
4	454	179
5	1246	164
6	4049	164
7	7322	164
0	8030	164

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

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

localize225.0ms (3.3%)

Memory

3.8MiB live, 161.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))
accuracy	0.01171875	(-.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) x) (/.f64 #s(literal -4 binary64) y))
accuracy	2.6674304986653916	(/.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) x)
accuracy	4.635363244504607	(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) x) (/.f64 #s(literal -4 binary64) y)) x)
accuracy	0	(/.f64 z y)
accuracy	0.00390625	(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))
accuracy	21.33660295005214	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
accuracy	0	(/.f64 #s(literal 4 binary64) y)
accuracy	0.2578125	(*.f64 (/.f64 #s(literal 4 binary64) y) x)
accuracy	40.41426196500347	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
accuracy	42.15185603191341	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
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))
accuracy	0.015625	(/.f64 (-.f64 x z) y)

Samples

207.0ms

256×

valid

Compiler

Compiled 170 to 29 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

ival-add: 145.0ms (75.7% of total)

ival-div: 31.0ms (16.2% of total)

ival-mult: 12.0ms (6.3% of total)

ival-sub: 3.0ms (1.6% of total)

exact: 1.0ms (0.5% of total)

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

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

series74.0ms (1.1%)

Memory

12.8MiB live, 92.5MiB 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 #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 (.f64 (-.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) x) (/.f64 #s(literal -4 binary64) y)) x) (patch (.f64 (-.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) x) (/.f64 #s(literal -4 binary64) y)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (-.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) x) (/.f64 #s(literal -4 binary64) y)) x)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) x) (/.f64 #s(literal -4 binary64) y)) x)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) x) (/.f64 #s(literal -4 binary64) y)) (patch (-.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) x) (/.f64 #s(literal -4 binary64) y)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) x) (patch (/.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) x) #<representation binary64>) () ())

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	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) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ z y) -4) 2) (/ z y) (* (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) x) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) (/ (+ (* (/ z y) -4) 2) x))
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) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ z y) -4) 2) (/ z y) (* (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) x) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) (/ (+ (* (/ z y) -4) 2) x))
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) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ z y) -4) 2) (/ z y) (* (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) x) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) (/ (+ (* (/ z y) -4) 2) x))
3.0ms	y	@	-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) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ z y) -4) 2) (/ z y) (* (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) x) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) (/ (+ (* (/ z y) -4) 2) x))
3.0ms	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) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ z y) -4) 2) (/ z y) (* (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) x) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) (/ (+ (* (/ z y) -4) 2) x))

simplify162.0ms (2.4%)

Memory

8.1MiB live, 204.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	4972
1	537	4882
2	1562	4828
3	4403	4325
4	7520	3490
0	8259	3192

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

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

rewrite182.0ms (2.7%)

Memory

3.8MiB live, 321.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	171
0	43	171
1	190	171
2	1628	171
0	9178	161

Stop Event

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

Counts

15 → 452

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

Outputs
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eval316.0ms (4.6%)

Memory: -19.0MiB live, 332.5MiB allocated
Compiler: Compiled 17 405 to 2 440 computations (86% saved)

prune41.0ms (0.6%)

Memory

11.7MiB live, 97.5MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1 011	5	1 016
Fresh	2	2	4
Picked	2	3	5
Done	0	0	0
Total	1 015	10	1 025

Accuracy

100.0%

Counts

1 025 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.7%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
▶	69.1%	#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)))
▶	36.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
	66.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
▶	34.3%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
✓	36.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
▶	34.2%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
▶	90.5%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 #s(approx (- (/ (+ ( (/ z y) -4) 2) x) (/ -4 y)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 2 binary64) x))) x))
	57.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 #s(approx (- (/ (+ ( (/ z y) -4) 2) x) (/ -4 y)) (/.f64 (fma.f64 (/.f64 z x) #s(literal -4 binary64) #s(literal 4 binary64)) y)) x))
✓	34.1%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Compiler

Compiled 139 to 146 computations (-5% saved)

simplify138.0ms (2%)

Memory

21.9MiB live, 96.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	272
0	59	272
1	93	272
2	140	272
3	291	272
4	765	262
5	2215	249
6	5524	249
7	6871	249
8	7994	249
0	8171	244

Stop Event

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

Calls

Call 1

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

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

localize134.0ms (2%)

Memory

-20.0MiB live, 125.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
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	27.728133058613867	#s(approx (/ (- x z) y) (/.f64 x y))
accuracy	0	(/.f64 (*.f64 x #s(literal 4 binary64)) y)
accuracy	0	(*.f64 x #s(literal 4 binary64))
accuracy	40.41426196500347	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
accuracy	0	(/.f64 z y)
accuracy	0.025722509768442016	(*.f64 (/.f64 z y) #s(literal -4 binary64))
accuracy	42.02133698389516	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
accuracy	0	(/.f64 #s(literal -4 binary64) y)
accuracy	0.23046875	(*.f64 (/.f64 #s(literal -4 binary64) y) z)
accuracy	42.02133698389516	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
accuracy	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 #s(approx (- (/ (+ ( (/ z y) -4) 2) x) (/ -4 y)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 2 binary64) x))) x))
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (/.f64 z x))
accuracy	1.4462994194835033	(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 2 binary64) x))
accuracy	4.635363244504607	(.f64 #s(approx (- (/ (+ ( (/ z y) -4) 2) x) (/ -4 y)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 2 binary64) x))) x)

Samples

100.0ms

256×

valid

Compiler

Compiled 182 to 37 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-mult: 27.0ms (36.7% of total)

ival-div: 23.0ms (31.3% of total)

ival-sub: 16.0ms (21.7% of total)

ival-add: 6.0ms (8.2% of total)

exact: 1.0ms (1.4% of total)

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

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

series50.0ms (0.7%)

Memory

14.6MiB live, 49.7MiB allocated

Counts

18 → 528

Calls

Call 1

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

9 calls:

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

simplify207.0ms (3%)

Memory

4.3MiB live, 218.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	176	5078
1	501	4988
2	1433	4014
3	3355	3941
4	7286	3941
0	8085	3623

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

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

rewrite351.0ms (5.1%)

Memory

5.2MiB live, 269.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	244
0	59	244
1	252	244
2	2191	244
0	8891	231

Stop Event

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

Counts

18 → 275

Calls

Call 1

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

Outputs
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eval93.0ms (1.4%)

Memory: -8.0MiB live, 149.4MiB allocated
Compiler: Compiled 10 060 to 1 210 computations (88% saved)

prune47.0ms (0.7%)

Memory

-1.0MiB live, 84.7MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	802	1	803
Fresh	0	2	2
Picked	1	4	5
Done	0	3	3
Total	803	10	813

Accuracy

100.0%

Counts

813 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.7%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
✓	69.1%	#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)))
✓	36.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
▶	66.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
✓	34.3%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
✓	36.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
✓	34.2%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
▶	57.3%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 #s(approx (- (/ (+ ( (/ z y) -4) 2) x) (/ -4 y)) (fma.f64 #s(approx (- 1 (/ z x)) (/.f64 (neg.f64 z) x)) (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 2 binary64) x))) x))
▶	57.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 #s(approx (- (/ (+ ( (/ z y) -4) 2) x) (/ -4 y)) (/.f64 (fma.f64 (/.f64 z x) #s(literal -4 binary64) #s(literal 4 binary64)) y)) x))
✓	34.1%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Compiler

Compiled 77 to 83 computations (-7.8% saved)

simplify162.0ms (2.4%)

Memory

0.9MiB live, 215.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	301
0	56	301
1	94	301
2	148	301
3	271	301
4	555	295
5	1266	289
6	3770	289
7	7056	289
0	8188	280

Stop Event

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

Calls

Call 1

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

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

localize99.0ms (1.5%)

Memory

-15.8MiB live, 145.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x z)
accuracy	0.0078125	(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
accuracy	0.015625	(/.f64 (-.f64 x z) y)
accuracy	21.22191957712194	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
accuracy	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 #s(approx (- (/ (+ ( (/ z y) -4) 2) x) (/ -4 y)) (fma.f64 #s(approx (- 1 (/ z x)) (/.f64 (neg.f64 z) x)) (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 2 binary64) x))) x))
accuracy	1.4462994194835033	(fma.f64 #s(approx (- 1 (/ z x)) (/.f64 (neg.f64 z) x)) (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 2 binary64) x))
accuracy	4.635363244504607	(.f64 #s(approx (- (/ (+ ( (/ z y) -4) 2) x) (/ -4 y)) (fma.f64 #s(approx (- 1 (/ z x)) (/.f64 (neg.f64 z) x)) (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 2 binary64) x))) x)
accuracy	33.0146589325359	#s(approx (- 1 (/ z x)) (/.f64 (neg.f64 z) x))
accuracy	0.00390625	(fma.f64 (/.f64 z x) #s(literal -4 binary64) #s(literal 4 binary64))
accuracy	1.4510059620773141	(/.f64 (fma.f64 (/.f64 z x) #s(literal -4 binary64) #s(literal 4 binary64)) y)
accuracy	4.635363244504607	(.f64 #s(approx (- (/ (+ ( (/ z y) -4) 2) x) (/ -4 y)) (/.f64 (fma.f64 (/.f64 z x) #s(literal -4 binary64) #s(literal 4 binary64)) y)) x)
accuracy	21.21638976276969	#s(approx (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) (/.f64 (fma.f64 (/.f64 z x) #s(literal -4 binary64) #s(literal 4 binary64)) y))

Samples

78.0ms

256×

valid

Compiler

Compiled 175 to 37 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-div: 28.0ms (55.5% of total)

ival-mult: 11.0ms (21.8% of total)

ival-add: 6.0ms (11.9% of total)

ival-sub: 4.0ms (7.9% of total)

exact: 1.0ms (2% of total)

ival-neg: 1.0ms (2% of total)

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

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

series48.0ms (0.7%)

Memory

-3.9MiB live, 74.2MiB allocated

Counts

14 → 468

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	z	@	inf	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) x) (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) (/ (+ (* (/ z x) -4) 4) y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) x) (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) (+ (* (- 1 (/ z x)) (/ 4 y)) (/ 2 x)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z) (+ (* (/ z x) -4) 4) (- 1 (/ z x)))
5.0ms	y	@	-inf	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) x) (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) (/ (+ (* (/ z x) -4) 4) y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) x) (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) (+ (* (- 1 (/ z x)) (/ 4 y)) (/ 2 x)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z) (+ (* (/ z x) -4) 4) (- 1 (/ z x)))
2.0ms	y	@	0	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) x) (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) (/ (+ (* (/ z x) -4) 4) y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) x) (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) (+ (* (- 1 (/ z x)) (/ 4 y)) (/ 2 x)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z) (+ (* (/ z x) -4) 4) (- 1 (/ z x)))
2.0ms	x	@	-inf	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) x) (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) (/ (+ (* (/ z x) -4) 4) y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) x) (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) (+ (* (- 1 (/ z x)) (/ 4 y)) (/ 2 x)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z) (+ (* (/ z x) -4) 4) (- 1 (/ z x)))
2.0ms	y	@	inf	((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) x) (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) (/ (+ (* (/ z x) -4) 4) y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) x) (- (/ (+ (* (/ z y) -4) 2) x) (/ -4 y)) (+ (* (- 1 (/ z x)) (/ 4 y)) (/ 2 x)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z) (+ (* (/ z x) -4) 4) (- 1 (/ z x)))

simplify157.0ms (2.3%)

Memory

24.6MiB live, 214.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	208	4957
1	611	4867
2	1754	3809
3	5124	3776
0	8176	3469

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

rewrite224.0ms (3.3%)

Memory

15.0MiB live, 210.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	272
0	56	272
1	258	272
2	2186	272
0	8767	260

Stop Event

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

Counts

14 → 244

Calls

Call 1

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

Outputs
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eval98.0ms (1.4%)

Memory: -11.5MiB live, 143.7MiB allocated
Compiler: Compiled 10 653 to 1 414 computations (86.7% saved)

prune37.0ms (0.5%)

Memory

17.3MiB live, 55.0MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	709	0	709
Fresh	0	0	0
Picked	0	3	3
Done	0	7	7
Total	709	10	719

Accuracy

100.0%

Counts

719 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.7%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
✓	69.1%	#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)))
✓	36.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
✓	66.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
✓	34.3%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
✓	36.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
✓	34.2%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
✓	57.3%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 #s(approx (- (/ (+ ( (/ z y) -4) 2) x) (/ -4 y)) (fma.f64 #s(approx (- 1 (/ z x)) (/.f64 (neg.f64 z) x)) (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 2 binary64) x))) x))
✓	57.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 #s(approx (- (/ (+ ( (/ z y) -4) 2) x) (/ -4 y)) (/.f64 (fma.f64 (/.f64 z x) #s(literal -4 binary64) #s(literal 4 binary64)) y)) x))
✓	34.1%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

Compiler

Compiled 239 to 156 computations (34.7% saved)

regimes32.0ms (0.5%)

Memory

3.9MiB live, 49.8MiB allocated

Counts

16 → 1

Calls

Call 1

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

Calls

5 calls:

10.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)
5.0ms	y
5.0ms	x
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)

regimes26.0ms (0.4%)

Memory

-32.4MiB live, 41.1MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
90.5%	3	`x`
89.7%	4	`y`
88.9%	3	`z`
99.0%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
99.0%	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

24.1MiB live, 24.1MiB 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 (/.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 x #s(literal 4 binary64)) 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 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))

Outputs

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #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)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x 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
90.5%	3	`x`
69.1%	1	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
69.1%	1	`(/.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

-14.9MiB live, 22.7MiB allocated

Counts

7 → 3

Calls

Call 1

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

6.0ms	y
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
69.1%	1	`y`
82.2%	3	`z`
72.4%	3	`x`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes16.0ms (0.2%)

Memory

-8.9MiB live, 39.6MiB allocated

Counts

5 → 4

Calls

Call 1

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

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

Calls

5 calls:

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))
2.0ms	y
2.0ms	z
2.0ms	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
69.8%	4	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
69.8%	4	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`
57.5%	4	`y`
62.0%	4	`x`
57.5%	4	`z`

Compiler

Compiled 27 to 31 computations (-14.8% saved)

regimes5.0ms (0.1%)

Memory

12.4MiB 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 (/.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)) #s(literal 2 binary64))
#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) x))

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
69.7%	4	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
69.7%	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

9.3MiB live, 9.3MiB allocated

Counts

3 → 4

Calls

Call 1

Inputs

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

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

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

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
69.7%	4	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
69.7%	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)

regimes3.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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))

1.0ms

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

Results

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

Compiler

Compiled 24 to 22 computations (8.3% saved)

regimes8.0ms (0.1%)

Memory

-22.2MiB live, 17.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
34.1%	1	`z`
34.1%	1	`y`
34.1%	1	`x`
34.1%	1	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
34.1%	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

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.0748087897097487	20937388038.56259
0.0ms	-4.970127355604109e+22	-4.995975677203002e+21

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch20.0ms (0.3%)

Memory

-4.9MiB live, 34.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.9266196086696023e+68	6.812765715119991e+68
8.0ms	-4.914186847432003e+32	-2.284210715514837e+32

Samples

10.0ms

160×

valid

Compiler

Compiled 166 to 208 computations (-25.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 2.0ms (34.7% of total)

ival-mult: 2.0ms (34.7% of total)

ival-sub: 1.0ms (17.4% of total)

ival-div: 1.0ms (17.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch25.0ms (0.4%)

Memory

5.8MiB live, 44.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.637429883025119e+99	1.7876016872709077e+104
8.0ms	-15293610697977.018	-4104022481695.288

Samples

13.0ms

208×

valid

Compiler

Compiled 198 to 252 computations (-27.3% saved)

Precisions

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

ival-mult: 3.0ms (39.4% of total)

ival-add: 2.0ms (26.3% of total)

ival-sub: 1.0ms (13.1% of total)

ival-div: 1.0ms (13.1% 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

2.2MiB live, 2.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	5.528069071361929e+60	4.414868848499657e+64
0.0ms	20937388038.56259	1067469974809852.9
0.0ms	-152.8074608540577	-0.6802878749322299

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	5.528069071361929e+60	4.414868848499657e+64
0.0ms	20937388038.56259	1067469974809852.9
0.0ms	-152.8074608540577	-0.6802878749322299

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	5.528069071361929e+60	4.414868848499657e+64
0.0ms	20937388038.56259	1067469974809852.9
0.0ms	-152.8074608540577	-0.6802878749322299

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	20937388038.56259	1067469974809852.9
0.0ms	-152.8074608540577	-0.6802878749322299

Compiler

Compiled 16 to 18 computations (-12.5% saved)

simplify52.0ms (0.8%)

Memory

-14.1MiB live, 72.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	702
1	95	702
2	100	702
3	102	702
4	103	702

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 -40000000000000000000000 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 5 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))))
(if (<=.f64 x #s(literal -315000000000000008796931614572544 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))) (if (<=.f64 x #s(literal 219999999999999987222624612701015633535835611053937637362647693262848 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64)))))
(if (<=.f64 z #s(literal -15000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 z y) #s(literal -4 binary64))) (if (<=.f64 z #s(literal 5800000000000000488541222450656255139219497959086120161124165150130208823228552602008286773659486388224 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 -100 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 x #s(literal 4 binary64)) y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 40000000000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 9999999999999999493871352970740188669636450110134100730839040 binary64)) #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 x #s(literal 4 binary64)) y)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -100 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 40000000000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 9999999999999999493871352970740188669636450110134100730839040 binary64)) #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) x)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -100 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 40000000000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 9999999999999999493871352970740188669636450110134100730839040 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -100 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 40000000000 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 -40000000000000000000000 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 5 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 -40000000000000000000000 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 5 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))))
(if (<=.f64 x #s(literal -315000000000000008796931614572544 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))) (if (<=.f64 x #s(literal 219999999999999987222624612701015633535835611053937637362647693262848 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64)))))
(if (<=.f64 z #s(literal -15000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 z y) #s(literal -4 binary64))) (if (<=.f64 z #s(literal 5800000000000000488541222450656255139219497959086120161124165150130208823228552602008286773659486388224 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 -15000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 #s(literal -4 binary64) (/.f64 z y))) (if (<=.f64 z #s(literal 5800000000000000488541222450656255139219497959086120161124165150130208823228552602008286773659486388224 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)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -100 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 x #s(literal 4 binary64)) y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 40000000000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 9999999999999999493871352970740188669636450110134100730839040 binary64)) #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 x #s(literal 4 binary64)) y)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -100 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (.f64 x #s(literal 4 binary64)) y)) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 40000000000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 9999999999999999493871352970740188669636450110134100730839040 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 #s(literal -4 binary64) (/.f64 z y))) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -100 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 40000000000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 9999999999999999493871352970740188669636450110134100730839040 binary64)) #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) x)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -100 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 40000000000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 9999999999999999493871352970740188669636450110134100730839040 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 #s(literal -4 binary64) (/.f64 z y))) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -100 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 40000000000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 9999999999999999493871352970740188669636450110134100730839040 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -100 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 40000000000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 9999999999999999493871352970740188669636450110134100730839040 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -100 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 40000000000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -100 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 40000000000 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))

soundness1.3s (18.8%)

Memory

2.0MiB live, 435.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	4972
1	537	4882
2	1562	4828
3	4403	4325
4	7520	3490
0	8259	3192
0	120	1412
1	360	1259
2	963	1200
3	3612	976
0	8429	865
0	30	171
0	43	171
1	190	171
2	1628	171
0	9178	161

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 407 to 166 computations (59.2% saved)

preprocess70.0ms (1%)

Memory: 3.7MiB live, 80.0MiB allocated
Compiler: Compiled 724 to 168 computations (76.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze59.0ms (0.9%)

sample1.0s (15.1%)

explain135.0ms (2%)

preprocess156.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify113.0ms (1.6%)

localize47.0ms (0.7%)

series15.0ms (0.2%)

simplify181.0ms (2.6%)

rewrite257.0ms (3.8%)

eval114.0ms (1.7%)

prune14.0ms (0.2%)

simplify290.0ms (4.2%)

localize225.0ms (3.3%)

series74.0ms (1.1%)

simplify162.0ms (2.4%)

rewrite182.0ms (2.7%)

eval316.0ms (4.6%)

prune41.0ms (0.6%)

simplify138.0ms (2%)

localize134.0ms (2%)

series50.0ms (0.7%)

simplify207.0ms (3%)

rewrite351.0ms (5.1%)

eval93.0ms (1.4%)

prune47.0ms (0.7%)

simplify162.0ms (2.4%)

localize99.0ms (1.5%)

series48.0ms (0.7%)

simplify157.0ms (2.3%)

rewrite224.0ms (3.3%)

eval98.0ms (1.4%)

prune37.0ms (0.5%)

regimes32.0ms (0.5%)

regimes26.0ms (0.4%)

regimes10.0ms (0.1%)

regimes12.0ms (0.2%)

regimes16.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch20.0ms (0.3%)

bsearch25.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify52.0ms (0.8%)

soundness1.3s (18.8%)

preprocess70.0ms (1%)

end0.0ms (0%)

Profiling