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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze68.0ms (0.8%)

Memory

-9.2MiB live, 66.5MiB 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)

sample1.4s (16.8%)

Memory

-107.8MiB live, 1 292.8MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 775.0ms

ival-mult: 398.0ms (51.3% of total)

ival-div: 228.0ms (29.4% of total)

ival-add: 82.0ms (10.6% of total)

ival-sub: 48.0ms (6.2% of total)

exact: 10.0ms (1.3% of total)

ival-true: 6.0ms (0.8% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain160.0ms (1.9%)

Memory

9.4MiB live, 201.7MiB allocated

FPErrors

Click to see full error table

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

32.0ms	460×	0	valid
4.0ms	20×	2	valid
4.0ms	26×	1	valid
2.0ms	6×	3	valid

Compiler

Compiled 125 to 40 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 7.0ms (30.4% of total)

ival-add: 6.0ms (26.1% of total)

ival-div: 4.0ms (17.4% of total)

ival-sub: 3.0ms (13% of total)

adjust: 2.0ms (8.7% of total)

exact: 1.0ms (4.3% of total)

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

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

preprocess293.0ms (3.4%)

Memory

-9.2MiB live, 142.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4 256×	`lower-fma.f64`
4 256×	`lower-fma.f32`
1 348×	`div-sub`
1 344×	`lower-*.f32`
1 340×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	130
1	124	117
2	374	117
3	1076	117
4	3189	103
5	7238	103
0	12	13
0	18	13
1	30	13
2	58	13
3	110	13
4	212	13
5	467	9
6	939	9
7	1771	9
8	2890	9
9	4617	9
10	5350	9
11	5950	9
12	5957	9
13	5959	9
14	5959	9
15	6177	9
16	6286	9
17	6286	9
18	6286	9
19	6286	9
20	6318	9
21	6431	9
0	6431	8

Stop Event

1×	iter limit
1×	saturated
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 3/4 binary64))) z)) y))

Outputs

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

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

1.1MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify264.0ms (3.1%)

Memory

-8.7MiB live, 123.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z))
cost-diff	128	(+.f64 x (*.f64 y #s(literal 3/4 binary64)))
cost-diff	192	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))
cost-diff	320	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)

Rules

4 256×	`lower-fma.f64`
4 256×	`lower-fma.f32`
1 348×	`div-sub`
1 344×	`lower-*.f32`
1 340×	`lower-*.f64`

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	212	54
5	467	48
6	939	48
7	1771	48
8	2890	48
9	4617	48
10	5350	48
11	5950	48
12	5957	48
13	5959	48
14	5959	48
15	6177	48
16	6286	48
17	6286	48
18	6286	48
19	6286	48
20	6318	48
21	6431	48
0	6431	43

Stop Event

1×	iter limit
1×	saturated
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 3/4 binary64))) z)) y))
#s(literal 1 binary64)
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)
(.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z))
#s(literal 4 binary64)
(-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)
(+.f64 x (*.f64 y #s(literal 3/4 binary64)))
x
(*.f64 y #s(literal 3/4 binary64))
y
#s(literal 3/4 binary64)
z

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

localize197.0ms (2.3%)

Memory

-10.8MiB live, 71.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))
accuracy	0.0234375	(-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)
accuracy	0.0546875	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)
accuracy	0.08203125	(+.f64 x (*.f64 y #s(literal 3/4 binary64)))

Samples

16.0ms	230×	0	valid
2.0ms	10×	2	valid
2.0ms	13×	1	valid
1.0ms	3×	3	valid

Compiler

Compiled 56 to 14 computations (75% saved)

Precisions

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

ival-mult: 3.0ms (27% of total)

ival-add: 3.0ms (27% of total)

ival-div: 2.0ms (18% of total)

adjust: 1.0ms (9% of total)

ival-sub: 1.0ms (9% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.4%)

Memory

8.6MiB live, 45.1MiB allocated

Counts

5 → 168

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #<representation:binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)) #<representation:binary64>) () ())
#s(alt (+.f64 x (.f64 y #s(literal 3/4 binary64))) (patch (+.f64 x (.f64 y #s(literal 3/4 binary64))) #<representation:binary64>) () ())
#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) #<representation:binary64>) () ())
#s(alt (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) (patch (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) #<representation:binary64>) () ())

Outputs
#s(alt (* 4 (/ (+ x (* 3/4 y)) y)) (taylor 0 z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #<representation:binary64>) () ())) ())
#s(alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) (taylor 0 z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #<representation:binary64>) () ())) ())
#s(alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) (taylor 0 z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #<representation:binary64>) () ())) ())
#s(alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) (taylor 0 z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (+ x (* 3/4 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 3/4 binary64))) z)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 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 3/4 binary64))) z)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 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 3/4 binary64))) z)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 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 3/4 binary64))) z)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)) #<representation:binary64>) () ())) ())
#s(alt (* 4 (+ x (* 3/4 y))) (taylor 0 z) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -4 z) (* 4 (+ x (* 3/4 y)))) (taylor 0 z) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -4 z) (* 4 (+ x (* 3/4 y)))) (taylor 0 z) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -4 z) (* 4 (+ x (* 3/4 y)))) (taylor 0 z) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* 3/4 y)) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) (patch (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1 z) (* 3/4 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) (patch (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1 z) (* 3/4 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) (patch (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1 z) (* 3/4 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) (patch (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) #<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 3/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #<representation:binary64>) () ())) ())
#s(alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #<representation:binary64>) () ())) ())
#s(alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #<representation:binary64>) () ())) ())
#s(alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #<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 3/4 binary64))) z)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)) #<representation:binary64>) () ())) ())
#s(alt (* z (- (+ (* 4 (/ (+ 3/4 (/ 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 3/4 binary64))) z)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)) #<representation:binary64>) () ())) ())
#s(alt (* z (- (+ (* 4 (/ (+ 3/4 (/ 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 3/4 binary64))) z)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)) #<representation:binary64>) () ())) ())
#s(alt (* z (- (+ (* 4 (/ (+ 3/4 (/ 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 3/4 binary64))) z)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 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 3/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) #<representation:binary64>) () ())) ())
#s(alt (* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4)) (taylor inf z) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) #<representation:binary64>) () ())) ())
#s(alt (* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4)) (taylor inf z) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) #<representation:binary64>) () ())) ())
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#s(alt x (taylor -inf x) (#s(alt (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) (patch (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) #<representation:binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) (patch (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) (patch (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) #<representation:binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	z	@	0	((/ (* 4 (- (+ x (* y 3/4)) z)) y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ x (* y 3/4)) (* 4 (- (+ x (* y 3/4)) z)) (- (+ x (* y 3/4)) z))
2.0ms	x	@	-inf	((/ (* 4 (- (+ x (* y 3/4)) z)) y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ x (* y 3/4)) (* 4 (- (+ x (* y 3/4)) z)) (- (+ x (* y 3/4)) z))
1.0ms	y	@	0	((/ (* 4 (- (+ x (* y 3/4)) z)) y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ x (* y 3/4)) (* 4 (- (+ x (* y 3/4)) z)) (- (+ x (* y 3/4)) z))
1.0ms	z	@	inf	((/ (* 4 (- (+ x (* y 3/4)) z)) y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ x (* y 3/4)) (* 4 (- (+ x (* y 3/4)) z)) (- (+ x (* y 3/4)) z))
1.0ms	y	@	-inf	((/ (* 4 (- (+ x (* y 3/4)) z)) y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ x (* y 3/4)) (* 4 (- (+ x (* y 3/4)) z)) (- (+ x (* y 3/4)) z))

simplify184.0ms (2.2%)

Memory

4.8MiB live, 238.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 206×	`lower-fma.f64`
12 206×	`lower-fma.f32`
4 778×	`lower-*.f64`
4 778×	`lower-*.f32`
2 668×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	1612
1	446	1612
2	1224	1540
3	3683	1200
0	8290	1070

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 163

Calls

Call 1

Inputs
(* 4 (/ (+ x (* 3/4 y)) y))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(* 4 (+ x (* 3/4 y)))
(+ (* -4 z) (* 4 (+ x (* 3/4 y))))
(+ (* -4 z) (* 4 (+ x (* 3/4 y))))
(+ (* -4 z) (* 4 (+ x (* 3/4 y))))
(+ x (* 3/4 y))
(+ x (+ (* -1 z) (* 3/4 y)))
(+ x (+ (* -1 z) (* 3/4 y)))
(+ x (+ (* -1 z) (* 3/4 y)))
(* -4 (/ z y))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 z)
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))
(* -1 z)
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(* -4 (/ z y))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -4 z)
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(* 4 (/ (- x z) y))
(/ (+ (* 3 y) (* 4 (- x z))) y)
(/ (+ (* 3 y) (* 4 (- x z))) y)
(/ (+ (* 3 y) (* 4 (- x z))) y)
(* 4 (/ (- x z) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
x
(+ x (* 3/4 y))
(+ x (* 3/4 y))
(+ x (* 3/4 y))
(* 4 (- x z))
(+ (* 3 y) (* 4 (- x z)))
(+ (* 3 y) (* 4 (- x z)))
(+ (* 3 y) (* 4 (- x z)))
(- x z)
(- (+ x (* 3/4 y)) z)
(- (+ x (* 3/4 y)) z)
(- (+ x (* 3/4 y)) z)
3
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(* 3/4 y)
(* y (+ 3/4 (/ x y)))
(* y (+ 3/4 (/ x y)))
(* y (+ 3/4 (/ x y)))
(* 3 y)
(* y (+ 3 (* 4 (/ (- x z) y))))
(* y (+ 3 (* 4 (/ (- x z) y))))
(* y (+ 3 (* 4 (/ (- x z) y))))
(* 3/4 y)
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(* y (- (+ 3/4 (/ x y)) (/ z y)))
3
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(* 3/4 y)
(* -1 (* y (- (* -1 (/ x y)) 3/4)))
(* -1 (* y (- (* -1 (/ x y)) 3/4)))
(* -1 (* y (- (* -1 (/ x y)) 3/4)))
(* 3 y)
(* -1 (* y (- (* -4 (/ (- x z) y)) 3)))
(* -1 (* y (- (* -4 (/ (- x z) y)) 3)))
(* -1 (* y (- (* -4 (/ (- x z) y)) 3)))
(* 3/4 y)
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(* 4 (/ (- (* 3/4 y) z) y))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(+ 1 (* 4 (/ (- (* 3/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(* 3/4 y)
(+ x (* 3/4 y))
(+ x (* 3/4 y))
(+ x (* 3/4 y))
(* 4 (- (* 3/4 y) z))
(+ (* 4 x) (* 4 (- (* 3/4 y) z)))
(+ (* 4 x) (* 4 (- (* 3/4 y) z)))
(+ (* 4 x) (* 4 (- (* 3/4 y) z)))
(- (* 3/4 y) z)
(- (+ x (* 3/4 y)) z)
(- (+ x (* 3/4 y)) z)
(- (+ x (* 3/4 y)) z)
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
x
(* x (+ 1 (* 3/4 (/ y x))))
(* x (+ 1 (* 3/4 (/ y x))))
(* x (+ 1 (* 3/4 (/ y x))))
(* 4 x)
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))
x
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(* 4 (/ x y))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
x
(* -1 (* x (- (* -3/4 (/ y x)) 1)))
(* -1 (* x (- (* -3/4 (/ y x)) 1)))
(* -1 (* x (- (* -3/4 (/ y x)) 1)))
(* 4 x)
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))
x
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))

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

rewrite251.0ms (2.9%)

Memory

-2.8MiB live, 277.9MiB allocated

Rules

6 902×	`lower-fma.f64`
6 902×	`lower-fma.f32`
5 378×	`lower-*.f32`
5 374×	`lower-*.f64`
3 678×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
0	18	45
1	74	45
2	629	45
0	8470	39

Stop Event

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

Counts

5 → 436

Calls

Call 1

Inputs
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))
(+.f64 x (*.f64 y #s(literal 3/4 binary64)))
(.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z))
(-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)

Outputs
(.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z))
(.f64 (pow.f64 (/.f64 y (.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z)) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y))
(*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z))
(.f64 #s(literal -4 binary64) (.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) (/.f64 #s(literal -1 binary64) y)))
(*.f64 #s(literal -4 binary64) (/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z)) y))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z)))
(.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) y)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y)))
(*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 4 binary64))
(.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (.f64 z z)) (*.f64 (pow.f64 (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z)) #s(literal -1 binary64)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)))
(.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 z (fma.f64 #s(literal 3/4 binary64) y x) (hypot.f64 z (fma.f64 #s(literal 3/4 binary64) y x))) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y)))
(.f64 (.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z)) (/.f64 #s(literal -1 binary64) y))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) y))
(.f64 (/.f64 (.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64)))
(.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) (.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) y)))
(.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) (.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)))
(.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) (.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 4 binary64)))
(*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) (/.f64 #s(literal 4 binary64) y))
(.f64 #s(literal 4 binary64) (.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 1 binary64)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y))
(pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64))) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64))) (fma.f64 z (fma.f64 #s(literal 3/4 binary64) y x) (hypot.f64 z (fma.f64 #s(literal 3/4 binary64) y x))))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z))) (pow.f64 y #s(literal -1 binary64))) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal -1 binary64))) (fma.f64 z (fma.f64 #s(literal 3/4 binary64) y x) (hypot.f64 z (fma.f64 #s(literal 3/4 binary64) y x))))
(/.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) y)) (-.f64 x (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z))))
(/.f64 (.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)) #s(literal 3/2 binary64))) (/.f64 #s(literal 4 binary64) y)) (-.f64 (hypot.f64 x (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z))) (.f64 x (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (.f64 z z))) (/.f64 #s(literal 4 binary64) y)) (neg.f64 (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 4 binary64) y)) (neg.f64 (fma.f64 z (fma.f64 #s(literal 3/4 binary64) y x) (hypot.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (.f64 z z)) (/.f64 #s(literal 4 binary64) y)) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 4 binary64) y)) (-.f64 (hypot.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) (.f64 (fma.f64 #s(literal 3/4 binary64) y x) (neg.f64 z))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 4 binary64) y)) (fma.f64 z (fma.f64 #s(literal 3/4 binary64) y x) (hypot.f64 z (fma.f64 #s(literal 3/4 binary64) y x))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z)))
(/.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 4 binary64))) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))
(/.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 4 binary64))) (fma.f64 z (fma.f64 #s(literal 3/4 binary64) y x) (hypot.f64 z (fma.f64 #s(literal 3/4 binary64) y x))))
(/.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)))) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))
(/.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (fma.f64 z (fma.f64 #s(literal 3/4 binary64) y x) (hypot.f64 z (fma.f64 #s(literal 3/4 binary64) y x))))
(/.f64 (.f64 (.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z)) #s(literal -1 binary64)) y)
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (.f64 z z)) #s(literal 4 binary64)) (*.f64 y (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x))))
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(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (fma.f64 z (fma.f64 #s(literal 3/4 binary64) y x) (hypot.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))) (.f64 (fma.f64 z (fma.f64 #s(literal 3/4 binary64) y x) (hypot.f64 z (fma.f64 #s(literal 3/4 binary64) y x))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z (fma.f64 #s(literal 3/4 binary64) y x) (hypot.f64 z (fma.f64 #s(literal 3/4 binary64) y x))) (fma.f64 z (fma.f64 #s(literal 3/4 binary64) y x) (hypot.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) (hypot.f64 (fma.f64 #s(literal 3/4 binary64) y x) z)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)) #s(literal 2 binary64))) (-.f64 x (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (.f64 (fma.f64 z (fma.f64 #s(literal 3/4 binary64) y x) (hypot.f64 z (fma.f64 #s(literal 3/4 binary64) y x))) (+.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 6 binary64)) (hypot.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) #s(literal 3/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (.f64 (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) (+.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 4 binary64)) (.f64 (*.f64 z z) (hypot.f64 z (fma.f64 #s(literal 3/4 binary64) y x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (fma.f64 z (fma.f64 #s(literal 3/4 binary64) y x) (hypot.f64 z (fma.f64 #s(literal 3/4 binary64) y x))) (hypot.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64)))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)) #s(literal 3/2 binary64))) (-.f64 (hypot.f64 x (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z))) (*.f64 x (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (-.f64 (hypot.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) (*.f64 (fma.f64 #s(literal 3/4 binary64) y x) (neg.f64 z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (fma.f64 #s(literal 3/4 binary64) y x) (hypot.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (hypot.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) (*.f64 (fma.f64 #s(literal 3/4 binary64) y x) (neg.f64 z))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (fma.f64 #s(literal 3/4 binary64) y x) (hypot.f64 z (fma.f64 #s(literal 3/4 binary64) y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z))) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) (*.f64 (fma.f64 #s(literal 3/4 binary64) y x) (neg.f64 z))) (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 x (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z))) (*.f64 x (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)))) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z)))
(neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z)))
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 4 binary64)) (pow.f64 (.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (fma.f64 #s(literal 3/4 binary64) y x) (hypot.f64 z (fma.f64 #s(literal 3/4 binary64) y x))))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 6 binary64)) (pow.f64 (.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x))) #s(literal 3 binary64)))) (-.f64 (hypot.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))) (.f64 (.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) z) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (fma.f64 #s(literal 3/4 binary64) y x) (hypot.f64 z (fma.f64 #s(literal 3/4 binary64) y x))))))
(fma.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -9/16 binary64) (.f64 y y))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 3/4 binary64) y) #s(literal 3 binary64)))) (fma.f64 x x (.f64 (*.f64 #s(literal 3/4 binary64) y) (fma.f64 #s(literal 3/4 binary64) y x))) (neg.f64 z))
(fma.f64 (/.f64 (fma.f64 #s(literal 27/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 3/4 binary64) y) (-.f64 (.f64 #s(literal 3/4 binary64) y) x)) #s(literal 2 binary64)))) (fma.f64 x x (.f64 (.f64 #s(literal -3/4 binary64) y) (-.f64 (.f64 #s(literal 3/4 binary64) y) x))) (neg.f64 z))
(fma.f64 (/.f64 (fma.f64 #s(literal 27/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 #s(literal 3/4 binary64) y) (-.f64 (.f64 #s(literal 3/4 binary64) y) x)) #s(literal 3 binary64)))) (-.f64 (hypot.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/4 binary64) y) (-.f64 (.f64 #s(literal 3/4 binary64) y) x))) (.f64 (.f64 x x) (.f64 (.f64 #s(literal 3/4 binary64) y) (-.f64 (.f64 #s(literal 3/4 binary64) y) x)))) (neg.f64 z))
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (hypot.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64)))) (-.f64 (hypot.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) (.f64 z (fma.f64 #s(literal 3/4 binary64) y x))) (neg.f64 (/.f64 (.f64 z z) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (.f64 z z))) (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) (neg.f64 (/.f64 (.f64 z z) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))))
(fma.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -9/16 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal -9/16 binary64) (.f64 y y)))) (fma.f64 #s(literal 3/4 binary64) y x) (neg.f64 z))
(fma.f64 (fma.f64 #s(literal 9/16 binary64) (.f64 y y) (.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/4 binary64) y z)) x)
(fma.f64 (fma.f64 (.f64 #s(literal 9/16 binary64) y) y (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 3/4 binary64) y) x)) (neg.f64 z))
(fma.f64 (pow.f64 (-.f64 x (.f64 #s(literal 3/4 binary64) y)) #s(literal -1 binary64)) (fma.f64 x x (.f64 #s(literal -9/16 binary64) (*.f64 y y))) (neg.f64 z))
(fma.f64 (pow.f64 (-.f64 (hypot.f64 x (.f64 #s(literal 3/4 binary64) y)) (.f64 (*.f64 #s(literal 3/4 binary64) y) x)) #s(literal -1 binary64)) (fma.f64 #s(literal 27/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 z))
(fma.f64 (fma.f64 #s(literal 27/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 (.f64 #s(literal 3/4 binary64) y) z) (.f64 (*.f64 #s(literal 3/4 binary64) y) z))) x)
(fma.f64 (neg.f64 (fma.f64 x x (.f64 #s(literal -9/16 binary64) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (*.f64 #s(literal 3/4 binary64) y)))) (neg.f64 z))
(fma.f64 (neg.f64 (fma.f64 #s(literal 27/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 x (.f64 #s(literal 3/4 binary64) y)) (.f64 (*.f64 #s(literal 3/4 binary64) y) x)))) (neg.f64 z))
(fma.f64 #s(literal -1 binary64) z (fma.f64 #s(literal 3/4 binary64) y x))
(fma.f64 (fma.f64 x x (.f64 #s(literal -9/16 binary64) (.f64 y y))) (pow.f64 (-.f64 x (*.f64 #s(literal 3/4 binary64) y)) #s(literal -1 binary64)) (neg.f64 z))
(fma.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (pow.f64 (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 z z) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))))
(fma.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (fma.f64 #s(literal 3/4 binary64) y x) (hypot.f64 z (fma.f64 #s(literal 3/4 binary64) y x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (fma.f64 #s(literal 3/4 binary64) y x) (hypot.f64 z (fma.f64 #s(literal 3/4 binary64) y x))))))
(fma.f64 (-.f64 (hypot.f64 x (.f64 #s(literal 3/4 binary64) y)) (.f64 (.f64 #s(literal 3/4 binary64) y) x)) (.f64 (fma.f64 #s(literal 3/4 binary64) y x) (pow.f64 (-.f64 (hypot.f64 x (.f64 #s(literal 3/4 binary64) y)) (.f64 (*.f64 #s(literal 3/4 binary64) y) x)) #s(literal -1 binary64))) (neg.f64 z))
(fma.f64 (fma.f64 #s(literal 27/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 (.f64 #s(literal 3/4 binary64) y) x) (.f64 (*.f64 #s(literal 3/4 binary64) y) x))) (neg.f64 z))
(fma.f64 (fma.f64 #s(literal 27/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 x (.f64 #s(literal 3/4 binary64) y)) (.f64 (*.f64 #s(literal 3/4 binary64) y) x)) #s(literal -1 binary64)) (neg.f64 z))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/4 binary64) y x) (neg.f64 z))
(fma.f64 (fma.f64 #s(literal 3/4 binary64) y x) (.f64 (-.f64 x (.f64 #s(literal 3/4 binary64) y)) (pow.f64 (-.f64 x (*.f64 #s(literal 3/4 binary64) y)) #s(literal -1 binary64))) (neg.f64 z))
(fma.f64 #s(literal 3/4 binary64) y (fma.f64 #s(literal -1 binary64) z x))
(fma.f64 #s(literal 3/4 binary64) y (-.f64 x z))
(fma.f64 y #s(literal 3/4 binary64) (fma.f64 #s(literal -1 binary64) z x))
(fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))
(-.f64 (+.f64 (neg.f64 z) (/.f64 (.f64 x x) (-.f64 x (.f64 #s(literal 3/4 binary64) y)))) (/.f64 (pow.f64 (.f64 #s(literal 3/4 binary64) y) #s(literal 2 binary64)) (-.f64 x (.f64 #s(literal 3/4 binary64) y))))
(-.f64 (+.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 0 binary64)) z)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)))) (/.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)) #s(literal 2 binary64)) (-.f64 x (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x))) (/.f64 (*.f64 z z) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x))))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (fma.f64 z (fma.f64 #s(literal 3/4 binary64) y x) (hypot.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (fma.f64 #s(literal 3/4 binary64) y x) (hypot.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 #s(literal 3/4 binary64) y))) (+.f64 (/.f64 (pow.f64 (.f64 #s(literal 3/4 binary64) y) #s(literal 2 binary64)) (-.f64 x (.f64 #s(literal 3/4 binary64) y))) z))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 #s(literal 3/4 binary64) y))) (-.f64 (/.f64 (pow.f64 (.f64 #s(literal 3/4 binary64) y) #s(literal 2 binary64)) (-.f64 x (.f64 #s(literal 3/4 binary64) y))) (neg.f64 z)))
(-.f64 #s(literal 0 binary64) (-.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))
(-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z)
(-.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 z x))
(+.f64 (fma.f64 #s(literal -1 binary64) z (*.f64 #s(literal 3/4 binary64) y)) x)
(+.f64 (fma.f64 #s(literal -1 binary64) z x) (*.f64 #s(literal 3/4 binary64) y))
(+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x))) (neg.f64 (/.f64 (*.f64 z z) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))))
(+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (fma.f64 z (fma.f64 #s(literal 3/4 binary64) y x) (hypot.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (fma.f64 #s(literal 3/4 binary64) y x) (hypot.f64 z (fma.f64 #s(literal 3/4 binary64) y x))))))
(+.f64 (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)) x)
(+.f64 (neg.f64 z) (fma.f64 #s(literal 3/4 binary64) y x))
(+.f64 (fma.f64 #s(literal 3/4 binary64) y x) (neg.f64 z))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) (fma.f64 #s(literal -1 binary64) z x))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 x z))
(+.f64 x (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)))

eval245.0ms (2.9%)

Memory: 25.2MiB live, 139.3MiB allocated
Compiler: Compiled 14 238 to 1 971 computations (86.2% saved)

prune82.0ms (1%)

Memory

4.4MiB live, 43.1MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	590	9	599
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	591	9	600

Accuracy

100.0%

Counts

600 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.5%	(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y))
	67.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))
	99.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)))
▶	100.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 (+.f64 y x) z) y) #s(literal 4 binary64)))
▶	35.5%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
	33.1%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
	64.7%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y)))
▶	70.3%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64))))
▶	37.2%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))

Compiler

Compiled 128 to 140 computations (-9.4% saved)

simplify473.0ms (5.5%)

Memory

-6.2MiB live, 152.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x #s(literal 4 binary64))
cost-diff	0	#s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64)))
cost-diff	0	(/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y)
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y))
cost-diff	0	(/.f64 #s(literal -4 binary64) y)
cost-diff	0	(fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64))
cost-diff	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64))))
cost-diff	128	(neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 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 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
cost-diff	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))
cost-diff	0	(-.f64 (+.f64 y x) z)
cost-diff	0	(/.f64 (-.f64 (+.f64 y x) z) y)
cost-diff	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 (+.f64 y x) z) y) #s(literal 4 binary64)))
cost-diff	128	(*.f64 (/.f64 (-.f64 (+.f64 y x) z) y) #s(literal 4 binary64))

Rules

11 566×	`lower-fma.f32`
11 564×	`lower-fma.f64`
1 830×	`lower-*.f32`
1 824×	`lower-*.f64`
1 730×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	189
0	43	189
1	80	189
2	140	189
3	264	189
4	515	189
5	1338	173
6	3406	173
7	6846	173
8	7410	173
9	7535	173
10	7606	173
11	7624	173
0	8114	162

Stop Event

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

Calls

Call 1

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

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

localize66.0ms (0.8%)

Memory

13.4MiB live, 52.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(literal 4 binary64))
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y))
accuracy	0.0546875	(/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y)
accuracy	41.92894791685054	#s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64)))
accuracy	0	(/.f64 #s(literal -4 binary64) y)
accuracy	0	(neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))
accuracy	0.12109375	(fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64))
accuracy	18.947238825676692	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64))))
accuracy	0	(/.f64 #s(literal 4 binary64) y)
accuracy	0.1875	(*.f64 (/.f64 #s(literal 4 binary64) y) x)
accuracy	41.20501767555319	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
accuracy	40.19324214441971	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))
accuracy	0	(-.f64 (+.f64 y x) z)
accuracy	0	(+.f64 y x)
accuracy	0	(*.f64 (/.f64 (-.f64 (+.f64 y x) z) y) #s(literal 4 binary64))
accuracy	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 (+.f64 y x) z) y) #s(literal 4 binary64)))

Samples

34.0ms	234×	0	valid
11.0ms	11×	1	valid
3.0ms	9×	2	valid
1.0ms	2×	3	valid

Compiler

Compiled 155 to 26 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-sub: 11.0ms (31.3% of total)

ival-mult: 9.0ms (25.6% of total)

ival-div: 7.0ms (19.9% of total)

ival-add: 5.0ms (14.2% of total)

adjust: 1.0ms (2.8% of total)

ival-neg: 1.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series65.0ms (0.8%)

Memory

-22.8MiB live, 60.4MiB allocated

Counts

17 → 492

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 (-.f64 (+.f64 y x) z) y) #s(literal 4 binary64)) (patch (.f64 (/.f64 (-.f64 (+.f64 y x) z) y) #s(literal 4 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 (-.f64 (+.f64 y x) z) y) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 (+.f64 y x) z) y) #s(literal 4 binary64))) #<representation:binary64>) () ())
#s(alt (/.f64 (-.f64 (+.f64 y x) z) y) (patch (/.f64 (-.f64 (+.f64 y x) z) y) #<representation:binary64>) () ())
#s(alt (-.f64 (+.f64 y x) z) (patch (-.f64 (+.f64 y x) z) #<representation:binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) 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 (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64))) (patch (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64))) #<representation:binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) #<representation:binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)) (patch (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal -4 binary64) y) (patch (/.f64 #s(literal -4 binary64) y) #<representation:binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (.f64 x #s(literal 4 binary64))) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx ( 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y)) #<representation:binary64>) () ())
#s(alt (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (.f64 x #s(literal 4 binary64))) y) (patch (/.f64 #s(approx ( 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #<representation:binary64>) () ())
#s(alt #s(approx (* 4 (- (+ x (* y 3/4)) z)) (.f64 x #s(literal 4 binary64))) (patch #s(approx ( 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) #<representation:binary64>) () ())
#s(alt (.f64 x #s(literal 4 binary64)) (patch (.f64 x #s(literal 4 binary64)) #<representation:binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation:binary64>) () ())

Outputs
#s(alt (* 4 (/ (+ x y) y)) (taylor 0 z) (#s(alt (.f64 (/.f64 (-.f64 (+.f64 y x) z) y) #s(literal 4 binary64)) (patch (.f64 (/.f64 (-.f64 (+.f64 y x) z) y) #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -4 (/ z y)) (* 4 (/ (+ x y) y))) (taylor 0 z) (#s(alt (.f64 (/.f64 (-.f64 (+.f64 y x) z) y) #s(literal 4 binary64)) (patch (.f64 (/.f64 (-.f64 (+.f64 y x) z) y) #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -4 (/ z y)) (* 4 (/ (+ x y) y))) (taylor 0 z) (#s(alt (.f64 (/.f64 (-.f64 (+.f64 y x) z) y) #s(literal 4 binary64)) (patch (.f64 (/.f64 (-.f64 (+.f64 y x) z) y) #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -4 (/ z y)) (* 4 (/ (+ x y) y))) (taylor 0 z) (#s(alt (.f64 (/.f64 (-.f64 (+.f64 y x) z) y) #s(literal 4 binary64)) (patch (.f64 (/.f64 (-.f64 (+.f64 y x) z) y) #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 (-.f64 (+.f64 y x) z) y) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 (+.f64 y x) z) y) #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 (-.f64 (+.f64 y x) z) y) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 (+.f64 y x) z) y) #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 (-.f64 (+.f64 y x) z) y) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 (+.f64 y x) z) y) #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 (-.f64 (+.f64 y x) z) y) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 (+.f64 y x) z) y) #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ (+ x y) y) (taylor 0 z) (#s(alt (/.f64 (-.f64 (+.f64 y x) z) y) (patch (/.f64 (-.f64 (+.f64 y x) z) y) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ z y)) (/ x y))) (taylor 0 z) (#s(alt (/.f64 (-.f64 (+.f64 y x) z) y) (patch (/.f64 (-.f64 (+.f64 y x) z) y) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ z y)) (/ x y))) (taylor 0 z) (#s(alt (/.f64 (-.f64 (+.f64 y x) z) y) (patch (/.f64 (-.f64 (+.f64 y x) z) y) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ z y)) (/ x y))) (taylor 0 z) (#s(alt (/.f64 (-.f64 (+.f64 y x) z) y) (patch (/.f64 (-.f64 (+.f64 y x) z) y) #<representation:binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 z) (#s(alt (-.f64 (+.f64 y x) z) (patch (-.f64 (+.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (+.f64 y x) z) (patch (-.f64 (+.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (+.f64 y x) z) (patch (-.f64 (+.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (+.f64 y x) z) (patch (-.f64 (+.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) #<representation:binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (.f64 x #s(literal 4 binary64))) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx ( 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (.f64 x #s(literal 4 binary64))) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx ( 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y)) #<representation:binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (.f64 x #s(literal 4 binary64))) y) (patch (/.f64 #s(approx ( 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (.f64 x #s(literal 4 binary64))) y) (patch (/.f64 #s(approx ( 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (.f64 x #s(literal 4 binary64))) y) (patch (/.f64 #s(approx ( 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (.f64 x #s(literal 4 binary64))) y) (patch (/.f64 #s(approx ( 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #<representation:binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt #s(approx (* 4 (- (+ x (* y 3/4)) z)) (.f64 x #s(literal 4 binary64))) (patch #s(approx ( 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4))) (taylor -inf x) (#s(alt #s(approx (* 4 (- (+ x (* y 3/4)) z)) (.f64 x #s(literal 4 binary64))) (patch #s(approx ( 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4))) (taylor -inf x) (#s(alt #s(approx (* 4 (- (+ x (* y 3/4)) z)) (.f64 x #s(literal 4 binary64))) (patch #s(approx ( 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4))) (taylor -inf x) (#s(alt #s(approx (* 4 (- (+ x (* y 3/4)) z)) (.f64 x #s(literal 4 binary64))) (patch #s(approx ( 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 4 binary64)) (patch (.f64 x #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 4 binary64)) (patch (.f64 x #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 4 binary64)) (patch (.f64 x #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 4 binary64)) (patch (.f64 x #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation:binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
34.0ms	x	@	inf	((* (/ (- (+ y x) z) y) 4) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (- (+ y x) z) y) (- (+ y x) z) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ 4 y) x) (/ 4 y) (neg (+ (* (/ -4 y) x) -4)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ -4 y) x) -4) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* 4 (- (+ x (* y 3/4)) z)) y) (* 4 (- (+ x (* y 3/4)) z)) (* x 4) (+ y x))
2.0ms	y	@	inf	((* (/ (- (+ y x) z) y) 4) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (- (+ y x) z) y) (- (+ y x) z) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ 4 y) x) (/ 4 y) (neg (+ (* (/ -4 y) x) -4)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ -4 y) x) -4) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* 4 (- (+ x (* y 3/4)) z)) y) (* 4 (- (+ x (* y 3/4)) z)) (* x 4) (+ y x))
2.0ms	y	@	0	((* (/ (- (+ y x) z) y) 4) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (- (+ y x) z) y) (- (+ y x) z) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ 4 y) x) (/ 4 y) (neg (+ (* (/ -4 y) x) -4)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ -4 y) x) -4) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* 4 (- (+ x (* y 3/4)) z)) y) (* 4 (- (+ x (* y 3/4)) z)) (* x 4) (+ y x))
2.0ms	x	@	-inf	((* (/ (- (+ y x) z) y) 4) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (- (+ y x) z) y) (- (+ y x) z) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ 4 y) x) (/ 4 y) (neg (+ (* (/ -4 y) x) -4)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ -4 y) x) -4) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* 4 (- (+ x (* y 3/4)) z)) y) (* 4 (- (+ x (* y 3/4)) z)) (* x 4) (+ y x))
2.0ms	y	@	-inf	((* (/ (- (+ y x) z) y) 4) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (- (+ y x) z) y) (- (+ y x) z) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ 4 y) x) (/ 4 y) (neg (+ (* (/ -4 y) x) -4)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ -4 y) x) -4) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* 4 (- (+ x (* y 3/4)) z)) y) (* 4 (- (+ x (* y 3/4)) z)) (* x 4) (+ y x))

simplify187.0ms (2.2%)

Memory

6.1MiB live, 205.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 206×	`lower-fma.f64`
7 206×	`lower-fma.f32`
3 934×	`lower-*.f64`
3 934×	`lower-*.f32`
1 610×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	213	4280
1	642	4230
2	1774	3582
3	5558	3534
0	8251	3207

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 482

Calls

Call 1

Inputs
(* 4 (/ (+ x y) y))
(+ (* -4 (/ z y)) (* 4 (/ (+ x y) y)))
(+ (* -4 (/ z y)) (* 4 (/ (+ x y) y)))
(+ (* -4 (/ z y)) (* 4 (/ (+ x y) y)))
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(/ (+ x y) y)
(+ 1 (+ (* -1 (/ z y)) (/ x y)))
(+ 1 (+ (* -1 (/ z y)) (/ x y)))
(+ 1 (+ (* -1 (/ z y)) (/ x y)))
(+ x y)
(+ x (+ y (* -1 z)))
(+ x (+ y (* -1 z)))
(+ x (+ y (* -1 z)))
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(* 4 (/ (+ x (* 3/4 y)) y))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(* 4 (+ x (* 3/4 y)))
(+ (* -4 z) (* 4 (+ x (* 3/4 y))))
(+ (* -4 z) (* 4 (+ x (* 3/4 y))))
(+ (* -4 z) (* 4 (+ x (* 3/4 y))))
(* -4 (/ z y))
(* z (- (* 4 (/ (+ 1 (/ x y)) z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ (+ 1 (/ x y)) z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ (+ 1 (/ x y)) z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -1 (/ z y))
(* z (- (+ (/ 1 z) (/ x (* y z))) (/ 1 y)))
(* z (- (+ (/ 1 z) (/ x (* y z))) (/ 1 y)))
(* z (- (+ (/ 1 z) (/ x (* y z))) (/ 1 y)))
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) 1))
(* z (- (+ (/ x z) (/ y z)) 1))
(* z (- (+ (/ x z) (/ y z)) 1))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* -4 z)
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))
(* -4 (/ z y))
(* -1 (* z (+ (* -4 (/ (+ 1 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ (+ 1 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ (+ 1 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -4 (/ z y))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -4 z)
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))
(* 4 (/ (- x z) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(* 4 (/ (- x z) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (- x z) y)
(/ (- (+ x y) z) y)
(/ (- (+ x y) z) y)
(/ (- (+ x y) z) y)
(- x z)
(- (+ x y) z)
(- (+ x y) z)
(- (+ x y) z)
(* 4 (/ (- x z) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(* 4 (/ (- x z) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 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 y))
(/ (- (* 4 y) (* -4 x)) y)
(/ (- (* 4 y) (* -4 x)) y)
(/ (- (* 4 y) (* -4 x)) y)
(* 4 (/ (- x z) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(* -4 (/ x y))
(/ (+ (* -4 x) (* -4 y)) y)
(/ (+ (* -4 x) (* -4 y)) y)
(/ (+ (* -4 x) (* -4 y)) y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(* 4 (/ (- x z) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(* 4 (/ (- x z) y))
(/ (+ (* 3 y) (* 4 (- x z))) y)
(/ (+ (* 3 y) (* 4 (- x z))) y)
(/ (+ (* 3 y) (* 4 (- x z))) y)
(* 4 (- x z))
(+ (* 3 y) (* 4 (- x z)))
(+ (* 3 y) (* 4 (- x z)))
(+ (* 3 y) (* 4 (- x z)))
x
(+ x y)
(+ x y)
(+ x y)
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
1
(- (+ 1 (/ x y)) (/ z y))
(- (+ 1 (/ x y)) (/ z y))
(- (+ 1 (/ x y)) (/ z y))
y
(* y (- (+ 1 (/ x y)) (/ z y)))
(* y (- (+ 1 (/ x y)) (/ z y)))
(* y (- (+ 1 (/ x y)) (/ z y)))
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 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
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
-4
(- (* -4 (/ x y)) 4)
(- (* -4 (/ x y)) 4)
(- (* -4 (/ x y)) 4)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
3
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
(* 3 y)
(* y (+ 3 (* 4 (/ (- x z) y))))
(* y (+ 3 (* 4 (/ (- x z) y))))
(* y (+ 3 (* 4 (/ (- x z) y))))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
1
(- (+ 1 (/ x y)) (/ z y))
(- (+ 1 (/ x y)) (/ z y))
(- (+ 1 (/ x y)) (/ z y))
y
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 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
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
-4
(- (* -4 (/ x y)) 4)
(- (* -4 (/ x y)) 4)
(- (* -4 (/ x y)) 4)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
3
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
(* 3 y)
(* -1 (* y (- (* -4 (/ (- x z) y)) 3)))
(* -1 (* y (- (* -4 (/ (- x z) y)) 3)))
(* -1 (* y (- (* -4 (/ (- x z) y)) 3)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* 4 (/ (- y z) y))
(+ (* 4 (/ x y)) (* 4 (/ (- y z) y)))
(+ (* 4 (/ x y)) (* 4 (/ (- y z) y)))
(+ (* 4 (/ x y)) (* 4 (/ (- y z) y)))
(+ 1 (* 4 (/ (- (* 3/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(/ (- y z) y)
(- (+ 1 (/ x y)) (/ z y))
(- (+ 1 (/ x y)) (/ z y))
(- (+ 1 (/ x y)) (/ z y))
(- y z)
(- (+ x y) z)
(- (+ x y) z)
(- (+ x y) z)
(+ 1 (* 4 (/ (- (* 3/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (* 4 (/ (- (* 3/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
4
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(+ 1 (* 4 (/ (- (* 3/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
-4
(- (* -4 (/ x y)) 4)
(- (* -4 (/ x y)) 4)
(- (* -4 (/ x y)) 4)
(+ 1 (* 4 (/ (- (* 3/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(* 4 (/ (- (* 3/4 y) z) y))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(* 4 (- (* 3/4 y) z))
(+ (* 4 x) (* 4 (- (* 3/4 y) z)))
(+ (* 4 x) (* 4 (- (* 3/4 y) z)))
(+ (* 4 x) (* 4 (- (* 3/4 y) z)))
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
y
(+ x y)
(+ x y)
(+ x y)
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 1 (/ z y)) x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ (- 1 (/ z y)) x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ (- 1 (/ z y)) x)) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ z (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ z (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ z (* x y))))
x
(* x (- (+ 1 (/ y x)) (/ z x)))
(* x (- (+ 1 (/ y x)) (/ z x)))
(* x (- (+ 1 (/ y x)) (/ z x)))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ 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 x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* -4 (/ x y))
(* -1 (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))))
(* -1 (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))))
(* -1 (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* 4 x)
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* 4 (/ x y))
(* -1 (* x (- (* -4 (/ (- 1 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- 1 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- 1 (/ z y)) x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(/ x y)
(* -1 (* x (- (* -1 (/ (- 1 (/ z y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ z y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ z y)) x)) (/ 1 y))))
x
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -4 (/ x y))
(* -1 (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(* -1 (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(* -1 (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* 4 x)
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))

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

rewrite203.0ms (2.4%)

Memory

16.2MiB live, 368.1MiB allocated

Rules

4 590×	`lower-*.f32`
4 584×	`lower-*.f64`
4 516×	`lower-/.f32`
4 508×	`lower-/.f64`
4 232×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	174
0	43	174
1	187	174
2	1469	174
0	8560	161

Stop Event

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

Counts

17 → 375

Calls

Call 1

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

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

eval427.0ms (5%)

Memory: -6.6MiB live, 336.8MiB allocated
Compiler: Compiled 11 718 to 1 716 computations (85.4% saved)

prune35.0ms (0.4%)

Memory

-28.9MiB live, 91.4MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	853	4	857
Fresh	2	2	4
Picked	3	2	5
Done	0	0	0
Total	858	8	866

Accuracy

100.0%

Counts

866 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64)))
▶	67.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))
▶	70.4%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)))
▶	35.6%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
	64.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
✓	35.5%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
▶	33.1%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
✓	37.2%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))

Compiler

Compiled 94 to 102 computations (-8.5% saved)

simplify254.0ms (3%)

Memory

7.1MiB live, 129.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 z y)
cost-diff	0	(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))
cost-diff	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))
cost-diff	0	(/.f64 x y)
cost-diff	0	(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))
cost-diff	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)))
cost-diff	0	(*.f64 #s(literal 4 binary64) x)
cost-diff	0	(/.f64 (*.f64 #s(literal 4 binary64) x) y)
cost-diff	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
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 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
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 4 binary64))
cost-diff	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64)))

Rules

4 256×	`lower-fma.f32`
4 250×	`lower-fma.f64`
1 344×	`lower-*.f32`
1 340×	`lower-*.f64`
1 270×	`div-sub`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	29	167
0	43	167
1	77	167
2	113	167
3	179	167
4	332	167
5	649	142
6	1217	142
7	2117	142
8	3418	142
9	4887	142
10	5391	142
11	5776	142
12	5785	142
13	5790	142
14	6240	142
15	6438	142
16	6438	142
17	6438	142
18	6470	142
19	6601	142
0	6601	142

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize127.0ms (1.5%)

Memory

5.7MiB live, 161.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))
accuracy	0	(/.f64 z y)
accuracy	20.571855908179103	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))
accuracy	0	(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))
accuracy	0	(/.f64 x y)
accuracy	18.947238825676692	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)))
accuracy	0	(/.f64 (*.f64 #s(literal 4 binary64) x) y)
accuracy	0	(*.f64 #s(literal 4 binary64) x)
accuracy	41.20501767555319	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
accuracy	0	(/.f64 #s(literal -4 binary64) y)
accuracy	0.1953125	(*.f64 (/.f64 #s(literal -4 binary64) y) z)
accuracy	42.7997187890774	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
accuracy	0	(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64))
accuracy	0	(/.f64 (-.f64 x z) y)
accuracy	0	(-.f64 x z)
accuracy	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64)))

Samples

70.0ms

256×

valid

Compiler

Compiled 137 to 29 computations (78.8% saved)

Precisions

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

ival-div: 10.0ms (33.7% of total)

ival-mult: 10.0ms (33.7% of total)

ival-add: 6.0ms (20.2% of total)

ival-sub: 2.0ms (6.7% of total)

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

exact: 0.0ms (0% of total)

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

series60.0ms (0.7%)

Memory

-12.5MiB live, 63.7MiB allocated

Counts

16 → 444

Calls

Call 1

Inputs
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64)) (patch (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64)) #<representation:binary64>) () ())
#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation:binary64>) () ())
#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation:binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) 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 3/4)) z)) y)) (/.f64 (.f64 #s(literal 4 binary64) x) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal 4 binary64) x) y)) #<representation:binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal 4 binary64) x) y) (patch (/.f64 (.f64 #s(literal 4 binary64) x) y) #<representation:binary64>) () ())
#s(alt (.f64 #s(literal 4 binary64) x) (patch (.f64 #s(literal 4 binary64) x) #<representation:binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)) #<representation:binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation:binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) (patch (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) #<representation:binary64>) () ())
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation:binary64>) () ())

Outputs
#s(alt (+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 4 (* 4 (/ x y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64)) (patch (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64)) (patch (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64)) (patch (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64)) (patch (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 z) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ z y)) (/ x y)) (taylor 0 z) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ z y)) (/ x y)) (taylor 0 z) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ z y)) (/ x y)) (taylor 0 z) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation:binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation:binary64>) () ())) ())
#s(alt (+ x (* -1 z)) (taylor 0 z) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation:binary64>) () ())) ())
#s(alt (+ x (* -1 z)) (taylor 0 z) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation:binary64>) () ())) ())
#s(alt (+ x (* -1 z)) (taylor 0 z) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) 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 (* 3/4 y)) y))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal 4 binary64) x) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal 4 binary64) x) y)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal 4 binary64) x) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal 4 binary64) x) y)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal 4 binary64) x) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal 4 binary64) x) y)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal 4 binary64) x) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal 4 binary64) x) y)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt 4 (taylor 0 z) (#s(alt (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) (patch (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 4 (* -4 (/ z y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) (patch (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 4 (* -4 (/ z y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) (patch (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 4 (* -4 (/ z y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) (patch (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation:binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation:binary64>) () ())) ())
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#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) x) y) (patch (/.f64 (.f64 #s(literal 4 binary64) x) y) #<representation:binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) x) y) (patch (/.f64 (.f64 #s(literal 4 binary64) x) y) #<representation:binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) x) y) (patch (/.f64 (.f64 #s(literal 4 binary64) x) y) #<representation:binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt (.f64 #s(literal 4 binary64) x) (patch (.f64 #s(literal 4 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt (.f64 #s(literal 4 binary64) x) (patch (.f64 #s(literal 4 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt (.f64 #s(literal 4 binary64) x) (patch (.f64 #s(literal 4 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt (.f64 #s(literal 4 binary64) x) (patch (.f64 #s(literal 4 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) #<representation:binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ (- x z) y) 4) 4) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* 4 x) y) (* 4 x) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ x y) 4) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ z y) -4) 4) (/ z y))
2.0ms	y	@	-inf	((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ (- x z) y) 4) 4) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* 4 x) y) (* 4 x) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ x y) 4) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ z y) -4) 4) (/ z y))
2.0ms	x	@	-inf	((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ (- x z) y) 4) 4) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* 4 x) y) (* 4 x) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ x y) 4) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ z y) -4) 4) (/ z y))
2.0ms	z	@	inf	((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ (- x z) y) 4) 4) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* 4 x) y) (* 4 x) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ x y) 4) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ z y) -4) 4) (/ z y))
2.0ms	y	@	inf	((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ (- x z) y) 4) 4) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* 4 x) y) (* 4 x) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ x y) 4) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ z y) -4) 4) (/ z y))

simplify204.0ms (2.4%)

Memory

10.0MiB live, 258.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 224×	`lower-fma.f64`
10 224×	`lower-fma.f32`
3 052×	`lower-*.f64`
3 052×	`lower-*.f32`
1 872×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	4182
1	406	4092
2	1158	4092
3	3286	3600
4	6674	2694
0	8418	2487

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 441

Calls

Call 1

Inputs
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 4 (* 4 (/ x y)))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 4 (+ (* -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 (* 3/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
4
(+ 4 (* -4 (/ z y)))
(+ 4 (* -4 (/ z y)))
(+ 4 (* -4 (/ z y)))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 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 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ 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 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 4 (* 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 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ 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 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -4 (/ z y))
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(* 4 (/ (- x z) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(* 4 (/ (- x z) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(* 4 (/ (- x z) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 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))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ (- x z) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(* 4 (/ x y))
(/ (+ (* 4 x) (* 4 y)) y)
(/ (+ (* 4 x) (* 4 y)) y)
(/ (+ (* 4 x) (* 4 y)) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 4 (/ (- x z) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(* -4 (/ z y))
(/ (+ (* -4 z) (* 4 y)) y)
(/ (+ (* -4 z) (* 4 y)) y)
(/ (+ (* -4 z) (* 4 y)) y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 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
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
4
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
4
(+ 4 (* -4 (/ z y)))
(+ 4 (* -4 (/ z y)))
(+ 4 (* -4 (/ z y)))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 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
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
4
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
4
(+ 4 (* -4 (/ z y)))
(+ 4 (* -4 (/ z y)))
(+ 4 (* -4 (/ z y)))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(+ 1 (* 4 (/ (- (* 3/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 4 (* -4 (/ z y)))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 4 (+ (* -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 (/ (- (* 3/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (* 4 (/ (- (* 3/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 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 (/ (- (* 3/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
4
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(+ 1 (* 4 (/ (- (* 3/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 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 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ 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 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 4 (* -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 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ 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 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))

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

rewrite187.0ms (2.2%)

Memory

1.1MiB live, 275.2MiB allocated

Rules

4 426×	`lower-*.f32`
4 422×	`lower-*.f64`
4 236×	`lower-fma.f32`
4 230×	`lower-fma.f64`
4 228×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	150
0	43	150
1	187	150
2	1456	150
0	8103	140

Stop Event

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

Counts

16 → 402

Calls

Call 1

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

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

eval152.0ms (1.8%)

Memory: -0.1MiB live, 188.9MiB allocated
Compiler: Compiled 10 592 to 1 681 computations (84.1% saved)

prune78.0ms (0.9%)

Memory

30.1MiB live, 107.5MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	842	1	843
Fresh	0	1	1
Picked	1	4	5
Done	0	2	2
Total	843	8	851

Accuracy

100.0%

Counts

851 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64)))
✓	67.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))
✓	70.4%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)))
✓	35.6%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
▶	33.1%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
▶	64.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
✓	35.5%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
✓	37.2%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))

Compiler

Compiled 51 to 57 computations (-11.8% saved)

simplify414.0ms (4.9%)

Memory

-15.1MiB live, 146.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 #s(literal -4 binary64) z)
cost-diff	0	(/.f64 (*.f64 #s(literal -4 binary64) z) y)
cost-diff	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
cost-diff	0	(-.f64 x z)
cost-diff	0	(/.f64 (-.f64 x z) y)
cost-diff	0	(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
cost-diff	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))

Rules

4 256×	`lower-fma.f64`
4 256×	`lower-fma.f32`
1 344×	`lower-*.f32`
1 340×	`lower-*.f64`
1 282×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	70
0	25	70
1	46	70
2	79	70
3	144	70
4	279	70
5	591	62
6	1112	62
7	1973	62
8	3252	62
9	4949	62
10	5558	62
11	5968	62
12	5975	62
13	5976	62
14	5976	62
15	6096	62
16	6157	62
17	6157	62
18	6157	62
19	6157	62
20	6189	62
21	6296	62
0	6296	60

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(/.f64 (-.f64 x z) y)
(-.f64 x z)
x
z
y
#s(literal 4 binary64)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y

Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)))
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y))
(/.f64 (-.f64 x z) y)
(-.f64 x z)
x
z
y
#s(literal 4 binary64)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 (/.f64 z y) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y

localize128.0ms (1.5%)

Memory

-1.8MiB live, 44.2MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 (*.f64 #s(literal -4 binary64) z) y)
accuracy	0	(*.f64 #s(literal -4 binary64) z)
accuracy	42.7997187890774	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
accuracy	0	(/.f64 (-.f64 x z) y)
accuracy	0	(-.f64 x z)
accuracy	0	(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
accuracy	22.465010565122785	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))

Samples

119.0ms

256×

valid

Compiler

Compiled 58 to 20 computations (65.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 20.0ms (64% of total)

ival-mult: 6.0ms (19.2% of total)

ival-sub: 2.0ms (6.4% of total)

ival-add: 2.0ms (6.4% of total)

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

exact: 0.0ms (0% of total)

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

series49.0ms (0.6%)

Memory

-20.1MiB live, 18.3MiB allocated

Counts

7 → 204

Calls

Call 1

Inputs
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) #<representation:binary64>) () ())
#s(alt (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) (patch (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #<representation:binary64>) () ())
#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation:binary64>) () ())
#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation:binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation:binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation:binary64>) () ())
#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation:binary64>) () ())

Outputs
#s(alt (+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
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#s(alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) (taylor inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) 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 (* 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 (+ (* -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 (+ (* -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 (* x (+ (* -1 (/ 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 (+ (* -1 (/ 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 (+ (* -1 (/ 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 (* x (+ 1 (* -1 (/ z x)))) (taylor inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ z x)))) (taylor inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ z x)))) (taylor inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation:binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) (taylor inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) (taylor inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) (taylor inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation:binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) 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 (/ x y)) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation:binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* -4 z) y) (* -4 z))
1.0ms	z	@	-inf	((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* -4 z) y) (* -4 z))
1.0ms	z	@	0	((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* -4 z) y) (* -4 z))
1.0ms	y	@	-inf	((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* -4 z) y) (* -4 z))
1.0ms	y	@	inf	((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* -4 z) y) (* -4 z))

simplify207.0ms (2.4%)

Memory

27.6MiB live, 145.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 424×	`lower-fma.f64`
10 424×	`lower-fma.f32`
2 974×	`lower-*.f64`
2 974×	`lower-*.f32`
1 990×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	1892
1	338	1802
2	989	1642
3	2963	1504
4	6036	1286
0	8173	1222

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 201

Calls

Call 1

Inputs
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(* 4 (/ x y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/ x y)
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
x
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -1 z))
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* -1 (/ z y))
(* z (- (/ x (* y z)) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* -1 z)
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -4 (/ z y))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (/ z y))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* 4 (/ (- x z) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(* 4 (/ (- x z) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(+ 1 (* 4 (/ (- (* 3/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(* -4 (/ z y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(* -1 (/ z y))
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(* -1 z)
(- x z)
(- x z)
(- x z)
(+ 1 (* 4 (/ (- (* 3/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(/ x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
x
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(/ x y)
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
x
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))

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

rewrite173.0ms (2%)

Memory

13.4MiB live, 247.5MiB allocated

Rules

7 762×	`lower-fma.f64`
7 762×	`lower-fma.f32`
5 304×	`lower-*.f32`
5 300×	`lower-*.f64`
3 342×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	63
0	25	63
1	108	63
2	864	63
0	8749	59

Stop Event

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

Counts

7 → 230

Calls

Call 1

Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(/.f64 (-.f64 x z) y)
(-.f64 x z)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) z)

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

eval71.0ms (0.8%)

Memory: -11.0MiB live, 110.0MiB allocated
Compiler: Compiled 5 395 to 974 computations (81.9% saved)

prune18.0ms (0.2%)

Memory

9.4MiB live, 46.9MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	431	0	431
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	431	8	439

Accuracy

100.0%

Counts

439 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64)))
✓	67.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))
✓	70.4%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)))
✓	35.6%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
✓	33.1%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
✓	64.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
✓	35.5%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
✓	37.2%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))

Compiler

Compiled 164 to 112 computations (31.7% saved)

regimes29.0ms (0.3%)

Memory

-21.4MiB live, 62.6MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	x
6.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)
5.0ms	y
5.0ms	z
4.0ms	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 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 3/4 binary64))) z)) y))`
100.0%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)`

Compiler

Compiled 27 to 31 computations (-14.8% saved)

regimes23.0ms (0.3%)

Memory

15.9MiB live, 53.8MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	z
4.0ms	y
4.0ms	x
4.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)
4.0ms	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))`
99.8%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)`

Compiler

Compiled 27 to 31 computations (-14.8% saved)

regimes22.0ms (0.3%)

Memory

-20.6MiB live, 56.9MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))

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

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))

Calls

5 calls:

5.0ms	x
5.0ms	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))
4.0ms	y
4.0ms	z
4.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)

Results

Accuracy	Segments	Branch
93.4%	3	`x`
90.4%	3	`y`
89.3%	3	`z`
99.3%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))`
99.3%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)`

Compiler

Compiled 27 to 31 computations (-14.8% saved)

regimes7.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y)))

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

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y)))

Calls

2 calls:

3.0ms

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

3.0ms

(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)

Results

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

Compiler

Compiled 24 to 22 computations (8.3% saved)

regimes12.0ms (0.1%)

Memory

-13.1MiB live, 30.3MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

5.0ms

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

3.0ms

(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)

Results

Accuracy	Segments	Branch
92.5%	3	`x`
73.3%	2	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))`
73.3%	2	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)`

Compiler

Compiled 25 to 25 computations (0% saved)

regimes9.0ms (0.1%)

Memory

21.8MiB live, 21.8MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))

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

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))

Calls

3 calls:

3.0ms	y
3.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
83.4%	3	`z`
77.5%	3	`y`
73.8%	3	`x`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes14.0ms (0.2%)

Memory

1.2MiB live, 39.8MiB allocated

Counts

5 → 5

Calls

Call 1

Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal 4 binary64) x) y))

Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal 4 binary64) x) y))

Calls

5 calls:

4.0ms	y
3.0ms	x
2.0ms	z
2.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)
2.0ms	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))

Results

Accuracy	Segments	Branch
64.0%	6	`x`
74.1%	5	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))`
74.1%	5	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)`
65.4%	5	`y`
62.9%	7	`z`

Compiler

Compiled 27 to 31 computations (-14.8% saved)

regimes6.0ms (0.1%)

Memory

-23.7MiB live, 14.3MiB allocated

Counts

4 → 5

Calls

Call 1

Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))

Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))

Calls

2 calls:

3.0ms

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

2.0ms

(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)

Results

Accuracy	Segments	Branch
74.1%	5	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))`
74.1%	5	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)`

Compiler

Compiled 24 to 22 computations (8.3% saved)

regimes4.0ms (0%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

3 → 5

Calls

Call 1

Inputs

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))

Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) 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 3/4 binary64))) z)) y)

2.0ms

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

Results

Accuracy	Segments	Branch
74.0%	5	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))`
74.0%	5	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)`

Compiler

Compiled 24 to 22 computations (8.3% saved)

regimes3.0ms (0%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))

Outputs

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) 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 3/4 binary64))) z)) y))

1.0ms

(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)

Results

Accuracy	Segments	Branch
67.1%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))`
67.1%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)`

Compiler

Compiled 24 to 22 computations (8.3% saved)

regimes9.0ms (0.1%)

Memory

-14.7MiB live, 23.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))

Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))

Calls

5 calls:

3.0ms	y
1.0ms	z
1.0ms	x
1.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)
1.0ms	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))

Results

Accuracy	Segments	Branch
37.2%	1	`z`
37.2%	1	`x`
37.2%	1	`y`
37.2%	1	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))`
37.2%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)`

Compiler

Compiled 27 to 31 computations (-14.8% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.0000001094337247	10379.392568546265
0.0ms	-4.104387791034515e+52	-2.3132127783622753e+45

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.0000001094337247	10379.392568546265
0.0ms	-4.104387791034515e+52	-2.3132127783622753e+45

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch61.0ms (0.7%)

Memory

-17.0MiB live, 72.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	9.616526299353082e+43	1.2766488021649016e+44
44.0ms	-25118727883831284.0	-224749337909110.8

Samples

24.0ms

160×

valid

Compiler

Compiled 156 to 188 computations (-20.5% saved)

Precisions

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

ival-div: 15.0ms (73.7% of total)

ival-add: 2.0ms (9.8% of total)

ival-mult: 2.0ms (9.8% of total)

ival-sub: 1.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch26.0ms (0.3%)

Memory

29.3MiB live, 67.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.800692207379688e+79	3.905532382094498e+81
11.0ms	-1.2455319750185426e+136	-5.586527158115107e+134

Samples

15.0ms

224×

valid

Compiler

Compiled 198 to 242 computations (-22.2% saved)

Precisions

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

ival-mult: 3.0ms (38.2% of total)

ival-div: 2.0ms (25.4% of total)

ival-add: 2.0ms (25.4% of total)

ival-sub: 1.0ms (12.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

-35.8MiB live, 2.8MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.1039089444063275e+102	1.959732563650478e+102
0.0ms	3.0000001094337247	10379.392568546265
0.0ms	-327757.6682344121	2.9999999999999996
0.0ms	-2.107218132895702e+73	-4.474412399627542e+71

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.1039089444063275e+102	1.959732563650478e+102
0.0ms	3.0000001094337247	10379.392568546265
0.0ms	-327757.6682344121	2.9999999999999996
0.0ms	-2.107218132895702e+73	-4.474412399627542e+71

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.1039089444063275e+102	1.959732563650478e+102
0.0ms	3.0000001094337247	10379.392568546265
0.0ms	-327757.6682344121	2.9999999999999996
0.0ms	-2.107218132895702e+73	-4.474412399627542e+71

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.0000001094337247	10379.392568546265
0.0ms	-327757.6682344121	2.9999999999999996

Compiler

Compiled 16 to 18 computations (-12.5% saved)

simplify36.0ms (0.4%)

Memory

15.7MiB live, 95.8MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`-commutative-binary64-.f64`
12×	`+-commutative-binary64-+.f64`
10×	`sub-neg-binary64-neg.f64-+.f64--.f64`
4×	`neg-sub0-binary64--.f64-neg.f64`
4×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	895
1	105	895
2	113	895
3	117	895
4	119	895

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -39999999999999999728837946974465119058468337677762560 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) 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 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) 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 3/4 binary64))) z)) y) #s(literal -39999999999999999728837946974465119058468337677762560 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y)))))
(if (<=.f64 x #s(literal -260000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 100000000000000008821361405306422640701865984 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)))))
(if (<=.f64 z #s(literal -5300000000000000168895781436612291039319328257699918237555849573512912110902257663301911728793272897965641668796633245695030656415825920 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (if (<=.f64 z #s(literal 3600000000000000053614100963779815304305500284358445286980298888600186948142759936 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -200000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal 4 binary64) x) y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 1499999999999999903408865346644674673247483061533619996637975112429525498213187755309954815155595378688 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal 4 binary64) x) y))))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -200000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) 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 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 1499999999999999903408865346644674673247483061533619996637975112429525498213187755309954815155595378688 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) 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 3/4 binary64))) z)) y) #s(literal -19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) 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 3/4 binary64))) z)) y) #s(literal -200000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) 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 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 1499999999999999903408865346644674673247483061533619996637975112429525498213187755309954815155595378688 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) 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 3/4 binary64))) z)) y) #s(literal -200000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) 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 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))

Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -39999999999999999728837946974465119058468337677762560 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) 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 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -39999999999999999728837946974465119058468337677762560 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 5 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) 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 3/4 binary64))) z)) y) #s(literal -39999999999999999728837946974465119058468337677762560 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -39999999999999999728837946974465119058468337677762560 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 5 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)))))
(if (<=.f64 x #s(literal -260000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 100000000000000008821361405306422640701865984 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)))))
(if (<=.f64 z #s(literal -5300000000000000168895781436612291039319328257699918237555849573512912110902257663301911728793272897965641668796633245695030656415825920 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (if (<=.f64 z #s(literal 3600000000000000053614100963779815304305500284358445286980298888600186948142759936 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -200000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal 4 binary64) x) y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 1499999999999999903408865346644674673247483061533619996637975112429525498213187755309954815155595378688 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal 4 binary64) x) y))))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -200000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 x #s(literal 4 binary64)) y)) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 5 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 1499999999999999903408865346644674673247483061533619996637975112429525498213187755309954815155595378688 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) 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 3/4 binary64))) z)) y) #s(literal -19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -200000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) 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 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 1499999999999999903408865346644674673247483061533619996637975112429525498213187755309954815155595378688 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -200000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 5 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 1499999999999999903408865346644674673247483061533619996637975112429525498213187755309954815155595378688 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) 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 3/4 binary64))) z)) y) #s(literal -19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) 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 3/4 binary64))) z)) y) #s(literal -200000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) 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 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 1499999999999999903408865346644674673247483061533619996637975112429525498213187755309954815155595378688 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -200000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 5 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 1499999999999999903408865346644674673247483061533619996637975112429525498213187755309954815155595378688 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) 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 3/4 binary64))) z)) y) #s(literal -200000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) 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 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -200000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 5 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))

soundness1.4s (16.6%)

Memory

19.1MiB live, 815.4MiB allocated

Rules

12 206×	`lower-fma.f64`
12 206×	`lower-fma.f32`
7 206×	`lower-fma.f64`
7 206×	`lower-fma.f32`
4 778×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	150
0	43	150
1	187	150
2	1456	150
0	8103	140
0	213	4280
1	642	4230
2	1774	3582
3	5558	3534
0	8251	3207
0	30	174
0	43	174
1	187	174
2	1469	174
0	8560	161
0	148	1612
1	446	1612
2	1224	1540
3	3683	1200
0	8290	1070

Stop Event

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

Compiler

Compiled 592 to 235 computations (60.3% saved)

preprocess67.0ms (0.8%)

Memory: 3.2MiB live, 157.0MiB allocated
Compiler: Compiled 958 to 186 computations (80.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze68.0ms (0.8%)

sample1.4s (16.8%)

explain160.0ms (1.9%)

preprocess293.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify264.0ms (3.1%)

localize197.0ms (2.3%)

series31.0ms (0.4%)

simplify184.0ms (2.2%)

rewrite251.0ms (2.9%)

eval245.0ms (2.9%)

prune82.0ms (1%)

simplify473.0ms (5.5%)

localize66.0ms (0.8%)

series65.0ms (0.8%)

simplify187.0ms (2.2%)

rewrite203.0ms (2.4%)

eval427.0ms (5%)

prune35.0ms (0.4%)

simplify254.0ms (3%)

localize127.0ms (1.5%)

series60.0ms (0.7%)

simplify204.0ms (2.4%)

rewrite187.0ms (2.2%)

eval152.0ms (1.8%)

prune78.0ms (0.9%)

simplify414.0ms (4.9%)

localize128.0ms (1.5%)

series49.0ms (0.6%)

simplify207.0ms (2.4%)

rewrite173.0ms (2%)

eval71.0ms (0.8%)

prune18.0ms (0.2%)

regimes29.0ms (0.3%)

regimes23.0ms (0.3%)

regimes22.0ms (0.3%)

regimes7.0ms (0.1%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes14.0ms (0.2%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch61.0ms (0.7%)

bsearch26.0ms (0.3%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify36.0ms (0.4%)

soundness1.4s (16.6%)

preprocess67.0ms (0.8%)

end0.0ms (0%)

Profiling