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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze53.0ms (0.6%)

Memory

4.1MiB live, 85.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	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
50%	49.9%	49.9%	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
75%	74.9%	25%	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
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.1s (12.9%)

Memory

-141.0MiB live, 1 267.2MiB allocated

Samples

770.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 549.0ms

ival-div: 202.0ms (36.8% of total)

ival-mult: 166.0ms (30.2% of total)

ival-sub: 163.0ms (29.7% of total)

exact: 8.0ms (1.5% of total)

ival-true: 7.0ms (1.3% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain124.0ms (1.5%)

Memory

-2.7MiB live, 153.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`z`
-	-	`#s(literal 4 binary64)`
-	-	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
-	-	`y`
-	-	`(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))`
-	-	`(*.f64 z #s(literal 1/2 binary64))`
-	-	`(-.f64 x y)`
-	-	`#s(literal 1/2 binary64)`
-	-	`(.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))))`
-	-	`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

38.0ms

512×

valid

Compiler

Compiled 94 to 34 computations (63.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 11.0ms (51.1% of total)

ival-sub: 6.0ms (27.9% of total)

ival-div: 3.0ms (13.9% of total)

exact: 1.0ms (4.6% of total)

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

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

preprocess231.0ms (2.7%)

Memory

15.5MiB live, 124.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2 736×	`lower-fma.f64`
2 736×	`lower-fma.f32`
1 156×	`div-sub`
1 152×	`lower-*.f32`
1 148×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	109
1	126	101
2	405	99
3	1525	81
4	5505	81
0	10	11
0	15	11
1	28	11
2	68	11
3	169	9
4	409	9
5	976	9
6	2577	9
7	4574	9
8	4888	9
9	4898	9
10	4907	9
11	4907	9
12	5219	9
13	5428	9
14	5444	9
15	5444	9
16	5444	9
17	5476	9
18	5583	9
0	5583	8

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify222.0ms (2.6%)

Memory

15.9MiB live, 99.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x y)
cost-diff	0	(.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))))
cost-diff	128	(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
cost-diff	320	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Rules

2 736×	`lower-fma.f64`
2 736×	`lower-fma.f32`
1 156×	`div-sub`
1 152×	`lower-*.f32`
1 148×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
0	15	38
1	28	38
2	68	38
3	169	36
4	409	36
5	976	36
6	2577	36
7	4574	36
8	4888	36
9	4898	36
10	4907	36
11	4907	36
12	5219	36
13	5428	36
14	5444	36
15	5444	36
16	5444	36
17	5476	36
18	5583	36
0	5583	33

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize27.0ms (0.3%)

Memory

-25.6MiB live, 49.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(*.f64 z #s(literal 1/2 binary64))
accuracy	0	(.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))))
accuracy	0.015625	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Samples

18.0ms

256×

valid

Compiler

Compiled 40 to 12 computations (70% saved)

Precisions

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

ival-sub: 3.0ms (37.3% of total)

ival-mult: 3.0ms (37.3% of total)

ival-div: 2.0ms (24.8% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

22.8MiB live, 22.8MiB allocated

Counts

5 → 144

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))
1.0ms	z	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))
1.0ms	y	@	0	((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))
1.0ms	z	@	-inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))
1.0ms	z	@	0	((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))

simplify191.0ms (2.2%)

Memory

-31.5MiB live, 136.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 634×	`lower-fma.f64`
9 634×	`lower-fma.f32`
3 970×	`lower-*.f64`
3 970×	`lower-*.f32`
1 970×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	890
1	390	889
2	1127	887
3	3264	885
0	8225	800

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 139

Calls

Call 1

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

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

rewrite244.0ms (2.8%)

Memory

24.7MiB live, 260.2MiB allocated

Rules

4 820×	`lower-fma.f64`
4 820×	`lower-fma.f32`
4 390×	`lower-*.f32`
4 386×	`lower-*.f64`
3 134×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
0	15	33
1	60	33
2	470	33
3	6831	33
0	8009	30

Stop Event

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

Counts

5 → 338

Calls

Call 1

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

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

eval64.0ms (0.7%)

Memory: -12.8MiB live, 146.0MiB allocated
Compiler: Compiled 12 413 to 1 346 computations (89.2% saved)

prune92.0ms (1.1%)

Memory

10.7MiB live, 144.2MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	466	11	477
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	467	11	478

Accuracy

100.0%

Counts

478 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 z #s(literal 1/2 binary64)))) z)
	70.7%	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z)
	65.8%	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z)
▶	36.9%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
	32.3%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
	99.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)))
	70.5%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
▶	36.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal 4 binary64) z) x))
	32.2%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
▶	65.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64)))
▶	35.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 230 to 158 computations (31.3% saved)

simplify380.0ms (4.4%)

Memory

-17.9MiB live, 54.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y z)
cost-diff	0	(-.f64 #s(literal -1/2 binary64) (/.f64 y z))
cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64)))
cost-diff	128	(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64))
cost-diff	0	(*.f64 x #s(literal 4 binary64))
cost-diff	0	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64)))
cost-diff	0	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
cost-diff	0	(/.f64 #s(literal 4 binary64) z)
cost-diff	0	(*.f64 (/.f64 #s(literal 4 binary64) z) x)
cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal 4 binary64) z) x))
cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
cost-diff	0	(.f64 #s(literal 4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 z #s(literal 1/2 binary64))))
cost-diff	128	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (*.f64 z #s(literal 1/2 binary64)))
cost-diff	320	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 z #s(literal 1/2 binary64)))) z)
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y)))

Rules

2 832×	`lower-fma.f64`
2 832×	`lower-fma.f32`
1 248×	`lower-*.f32`
1 238×	`lower-*.f64`
994×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	177
0	44	161
1	74	161
2	132	161
3	271	153
4	600	153
5	1408	153
6	3372	153
7	4403	153
8	4755	153
9	4779	153
10	4789	153
11	4791	153
12	4823	153
13	5181	153
14	5333	153
15	5333	153
16	5333	153
17	5365	153
18	5480	153
0	5480	143

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize97.0ms (1.1%)

Memory

11.5MiB live, 96.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y z)
accuracy	0	(-.f64 #s(literal -1/2 binary64) (/.f64 y z))
accuracy	0	(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64))
accuracy	22.026181601354132	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64)))
accuracy	0	(*.f64 x #s(literal 4 binary64))
accuracy	0.015625	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
accuracy	40.861172517474564	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64)))
accuracy	0	(/.f64 #s(literal 4 binary64) z)
accuracy	0.2421875	(*.f64 (/.f64 #s(literal 4 binary64) z) x)
accuracy	40.39440755420702	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal 4 binary64) z) x))
accuracy	41.19568228648696	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
accuracy	0	(.f64 #s(literal 4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 z #s(literal 1/2 binary64))))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (-.f64 x y))
accuracy	0.015625	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 z #s(literal 1/2 binary64)))) z)
accuracy	0.1640625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y)))

Samples

83.0ms

256×

valid

Compiler

Compiled 155 to 26 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-div: 32.0ms (47.9% of total)

ival-mult: 29.0ms (43.4% of total)

ival-sub: 5.0ms (7.5% of total)

exact: 1.0ms (1.5% of total)

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

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

series211.0ms (2.5%)

Memory

10.1MiB live, 46.9MiB allocated

Counts

16 → 456

Calls

Call 1

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

Outputs
#s(alt (* 4 (/ (- x y) z)) (taylor 0 z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 z #s(literal 1/2 binary64)))) z) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 z #s(literal 1/2 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 z) (* 4 (- x y))) z) (taylor 0 z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 z #s(literal 1/2 binary64)))) z) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 z #s(literal 1/2 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 z) (* 4 (- x y))) z) (taylor 0 z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 z #s(literal 1/2 binary64)))) z) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 z #s(literal 1/2 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 z) (* 4 (- x y))) z) (taylor 0 z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 z #s(literal 1/2 binary64)))) z) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 z #s(literal 1/2 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 z) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 z #s(literal 1/2 binary64))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 z #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/2 z)) y) (taylor 0 z) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 z #s(literal 1/2 binary64))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 z #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/2 z)) y) (taylor 0 z) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 z #s(literal 1/2 binary64))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 z #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/2 z)) y) (taylor 0 z) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 z #s(literal 1/2 binary64))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 z #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (- x y)) (taylor 0 z) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 z #s(literal 1/2 binary64)))) (patch (.f64 #s(literal 4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 z #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 z) (* 4 (- x y))) (taylor 0 z) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 z #s(literal 1/2 binary64)))) (patch (.f64 #s(literal 4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 z #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 z) (* 4 (- x y))) (taylor 0 z) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 z #s(literal 1/2 binary64)))) (patch (.f64 #s(literal 4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 z #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 z) (* 4 (- x y))) (taylor 0 z) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 z #s(literal 1/2 binary64)))) (patch (.f64 #s(literal 4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 z #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (- x y) z)) (taylor 0 z) (#s(alt #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (patch #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 z) (* 4 (- x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (patch #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 z) (* 4 (- x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (patch #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 z) (* 4 (- x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (patch #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (- x y) z)) (taylor 0 z) (#s(alt #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal 4 binary64) z) x)) (patch #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal 4 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 z) (* 4 (- x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal 4 binary64) z) x)) (patch #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal 4 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 z) (* 4 (- x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal 4 binary64) z) x)) (patch #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal 4 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 z) (* 4 (- x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal 4 binary64) z) x)) (patch #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal 4 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x z)) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 4 binary64) z) x) (patch (.f64 (/.f64 #s(literal 4 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x z)) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 4 binary64) z) x) (patch (.f64 (/.f64 #s(literal 4 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x z)) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 4 binary64) z) x) (patch (.f64 (/.f64 #s(literal 4 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x z)) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 4 binary64) z) x) (patch (.f64 (/.f64 #s(literal 4 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (/ 4 z) (taylor 0 z) (#s(alt (/.f64 #s(literal 4 binary64) z) (patch (/.f64 #s(literal 4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (/ 4 z) (taylor 0 z) (#s(alt (/.f64 #s(literal 4 binary64) z) (patch (/.f64 #s(literal 4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (/ 4 z) (taylor 0 z) (#s(alt (/.f64 #s(literal 4 binary64) z) (patch (/.f64 #s(literal 4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (/ 4 z) (taylor 0 z) (#s(alt (/.f64 #s(literal 4 binary64) z) (patch (/.f64 #s(literal 4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (- x y) z)) (taylor 0 z) (#s(alt (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) z) (patch (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 z) (* 4 (- x y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) z) (patch (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 z) (* 4 (- x y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) z) (patch (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 z) (* 4 (- x y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) z) (patch (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (- x y)) (taylor 0 z) (#s(alt #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) (patch #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 z) (* 4 (- x y))) (taylor 0 z) (#s(alt #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) (patch #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 z) (* 4 (- x y))) (taylor 0 z) (#s(alt #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) (patch #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 z) (* 4 (- x y))) (taylor 0 z) (#s(alt #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) (patch #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ y z)) (taylor 0 z) (#s(alt (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64)) (patch (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -4 y) (* -2 z)) z) (taylor 0 z) (#s(alt (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64)) (patch (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 4 (/ x z)) (taylor -inf x) (#s(alt #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64))) (patch #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) (taylor -inf x) (#s(alt #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64))) (patch #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) (taylor -inf x) (#s(alt #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64))) (patch #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) (taylor -inf x) (#s(alt #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64))) (patch #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ y x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
184.0ms	x	@	inf	((/ 1 (/ 1 (- x y))) (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (- (/ 1 (/ 1 (- x y))) (* z 1/2)) (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ 4 z) x) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* x 4) (* (- -1/2 (/ y z)) 4) (/ (* 4 (- (- x y) (* z 1/2))) z) (- -1/2 (/ y z)) (/ y z) (/ 1 (- x y)))
2.0ms	x	@	-inf	((/ 1 (/ 1 (- x y))) (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (- (/ 1 (/ 1 (- x y))) (* z 1/2)) (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ 4 z) x) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* x 4) (* (- -1/2 (/ y z)) 4) (/ (* 4 (- (- x y) (* z 1/2))) z) (- -1/2 (/ y z)) (/ y z) (/ 1 (- x y)))
2.0ms	z	@	0	((/ 1 (/ 1 (- x y))) (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (- (/ 1 (/ 1 (- x y))) (* z 1/2)) (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ 4 z) x) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* x 4) (* (- -1/2 (/ y z)) 4) (/ (* 4 (- (- x y) (* z 1/2))) z) (- -1/2 (/ y z)) (/ y z) (/ 1 (- x y)))
2.0ms	z	@	-inf	((/ 1 (/ 1 (- x y))) (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (- (/ 1 (/ 1 (- x y))) (* z 1/2)) (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ 4 z) x) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* x 4) (* (- -1/2 (/ y z)) 4) (/ (* 4 (- (- x y) (* z 1/2))) z) (- -1/2 (/ y z)) (/ y z) (/ 1 (- x y)))
2.0ms	z	@	inf	((/ 1 (/ 1 (- x y))) (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (- (/ 1 (/ 1 (- x y))) (* z 1/2)) (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ 4 z) x) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* x 4) (* (- -1/2 (/ y z)) 4) (/ (* 4 (- (- x y) (* z 1/2))) z) (- -1/2 (/ y z)) (/ y z) (/ 1 (- x y)))

simplify221.0ms (2.6%)

Memory

-8.5MiB live, 186.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 394×	`lower-fma.f64`
9 394×	`lower-fma.f32`
4 772×	`lower-*.f64`
4 772×	`lower-*.f32`
2 150×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	260	3992
1	787	3948
2	2247	3725
3	7514	3718
0	8306	3458

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 451

Calls

Call 1

Inputs
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(- x y)
(- (+ x (* -1/2 z)) y)
(- (+ x (* -1/2 z)) y)
(- (+ x (* -1/2 z)) y)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(+ (* -2 z) (* 4 (- x y)))
(+ (* -2 z) (* 4 (- x y)))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(+ (* -2 z) (* 4 (- x y)))
(+ (* -2 z) (* 4 (- x y)))
(* -4 (/ y z))
(/ (+ (* -4 y) (* -2 z)) z)
(/ (+ (* -4 y) (* -2 z)) z)
(/ (+ (* -4 y) (* -2 z)) z)
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(* -1 (/ y z))
(/ (- (* -1/2 z) y) z)
(/ (- (* -1/2 z) y) z)
(/ (- (* -1/2 z) y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* -1/2 z)
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* 4 (/ (- x y) z)) 2))
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* 4 (/ (- x y) z)) 2))
-2
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-1/2
(- (* -1 (/ y z)) 1/2)
(- (* -1 (/ y z)) 1/2)
(- (* -1 (/ y z)) 1/2)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* -1/2 z)
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -2 z)
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* -2 z)
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
-2
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-1/2
(- (* -1 (/ y z)) 1/2)
(- (* -1 (/ y z)) 1/2)
(- (* -1 (/ y z)) 1/2)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(- x (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
-2
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
-1/2
(- (* -1 (/ y z)) 1/2)
(- (* -1 (/ y z)) 1/2)
(- (* -1 (/ y z)) 1/2)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ 1 x)
(+ (/ 1 x) (/ y (pow x 2)))
(+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))
(+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -1 y)
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* -4 y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -4 y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* -4 (/ y z))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -1 (/ y z))
(* -1 (* y (+ (* 1/2 (/ 1 y)) (/ 1 z))))
(* -1 (* y (+ (* 1/2 (/ 1 y)) (/ 1 z))))
(* -1 (* y (+ (* 1/2 (/ 1 y)) (/ 1 z))))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ -1 y)
(/ (- (* -1 (/ x y)) 1) y)
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) y)
(/ (- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) y)
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -4 y)
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -4 y)
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -4 (/ y z))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (/ y z))
(* -1 (* y (+ (* 1/2 (/ 1 y)) (/ 1 z))))
(* -1 (* y (+ (* 1/2 (/ 1 y)) (/ 1 z))))
(* -1 (* y (+ (* 1/2 (/ 1 y)) (/ 1 z))))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ -1 y)
(* -1 (/ (+ 1 (/ x y)) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y))) y))
(* -1 y)
(- x y)
(- x y)
(- x y)
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* -1 (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(/ -1 y)
(- (* -1 (/ x (pow y 2))) (/ 1 y))
(- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
x
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(/ 1 x)
(/ (+ 1 (/ y x)) x)
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) x)
(/ (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x)
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* 4 (/ x z))
(* -1 (* x (- (* -4 (/ (- (* -1 (/ y z)) 1/2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -4 (/ (- (* -1 (/ y z)) 1/2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -4 (/ (- (* -1 (/ y z)) 1/2) x)) (* 4 (/ 1 z)))))
x
(* -1 (* x (- (* -1 (/ (- (* -1 y) (* 1/2 z)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 y) (* 1/2 z)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 y) (* 1/2 z)) x)) 1)))
(* 4 x)
(* -1 (* x (- (* -4 (/ (- (* -1 y) (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* -4 (/ (- (* -1 y) (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* -4 (/ (- (* -1 y) (* 1/2 z)) x)) 4)))
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* 4 x)
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(/ 1 x)
(* -1 (/ (- (* -1 (/ y x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1) x))

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

rewrite254.0ms (3%)

Memory

10.2MiB live, 291.4MiB allocated

Rules

7 352×	`lower-fma.f64`
7 352×	`lower-fma.f32`
5 584×	`lower-*.f32`
5 574×	`lower-*.f64`
3 708×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	154
0	44	138
1	162	138
2	961	138
0	9016	128

Stop Event

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

Counts

16 → 557

Calls

Call 1

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

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

eval154.0ms (1.8%)

Memory: 2.5MiB live, 225.6MiB allocated
Compiler: Compiled 17 226 to 2 118 computations (87.7% saved)

prune127.0ms (1.5%)

Memory

6.2MiB live, 289.2MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1 001	7	1 008
Fresh	6	0	6
Picked	2	3	5
Done	0	0	0
Total	1 009	10	1 019

Accuracy

100.0%

Counts

1 019 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.8%	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (/ 1 (/ 1 (- x y))) ( z 1/2)) (-.f64 x y))) z)
▶	32.3%	(/.f64 #s(approx (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
✓	36.9%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
▶	100.0%	#s(approx (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
▶	70.5%	#s(approx (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
	98.6%	#s(approx (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))))
▶	32.2%	#s(approx (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
▶	65.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
✓	36.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal 4 binary64) z) x))
✓	35.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 175 to 118 computations (32.6% saved)

simplify292.0ms (3.4%)

Memory

-16.1MiB live, 75.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

2 832×	`lower-fma.f32`
2 826×	`lower-fma.f64`
1 248×	`lower-*.f32`
1 244×	`lower-*.f64`
970×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	185
0	48	165
1	86	165
2	144	165
3	284	153
4	655	153
5	1583	153
6	3438	153
7	4300	153
8	4526	153
9	4555	153
10	4568	153
11	4573	153
12	4958	153
13	5108	153
14	5108	153
15	5108	153
16	5128	153
17	5137	153
0	5137	151

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize67.0ms (0.8%)

Memory

2.6MiB live, 162.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 4 binary64) z)
accuracy	0.125	(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
accuracy	18.77881552683313	#s(approx (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
accuracy	0	(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
accuracy	0	(/.f64 y z)
accuracy	22.026181601354132	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
accuracy	0	(*.f64 #s(literal -4 binary64) y)
accuracy	0.015625	(/.f64 #s(approx (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
accuracy	44.24696421037663	#s(approx (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
accuracy	0	(/.f64 #s(literal -4 binary64) z)
accuracy	0.22265625	(*.f64 (/.f64 #s(literal -4 binary64) z) y)
accuracy	43.30109315447519	#s(approx (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
accuracy	0	(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
accuracy	0	(-.f64 x y)
accuracy	0	#s(approx (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
accuracy	0.01171875	(/.f64 (-.f64 x y) z)

Samples

51.0ms

256×

valid

Compiler

Compiled 153 to 32 computations (79.1% saved)

Precisions

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

ival-div: 14.0ms (39.8% of total)

ival-mult: 14.0ms (39.8% of total)

ival-sub: 4.0ms (11.4% of total)

ival-add: 3.0ms (8.5% of total)

exact: 1.0ms (2.8% of total)

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

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

series32.0ms (0.4%)

Memory

14.2MiB live, 52.1MiB allocated

Counts

16 → 444

Calls

Call 1

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

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

Calls

9 calls:

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

simplify178.0ms (2.1%)

Memory

2.7MiB live, 150.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 264×	`lower-fma.f64`
13 264×	`lower-fma.f32`
5 170×	`lower-*.f64`
5 170×	`lower-*.f32`
2 348×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	3098
1	487	3098
2	1413	3050
3	4330	2960
0	8251	2721

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 441

Calls

Call 1

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

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

rewrite279.0ms (3.3%)

Memory

-2.3MiB live, 157.7MiB allocated

Rules

5 892×	`lower-fma.f32`
5 886×	`lower-fma.f64`
4 346×	`lower-/.f32`
4 336×	`lower-/.f64`
4 148×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	166
0	48	146
1	201	146
2	1340	146
0	8346	140

Stop Event

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

Counts

16 → 418

Calls

Call 1

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

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

eval396.0ms (4.6%)

Memory: -6.0MiB live, 232.1MiB allocated
Compiler: Compiled 12 062 to 1 208 computations (90% saved)

prune271.0ms (3.2%)

Memory

19.8MiB live, 224.3MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	857	2	859
Fresh	1	1	2
Picked	1	4	5
Done	0	3	3
Total	859	10	869

Accuracy

100.0%

Counts

869 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.8%	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (/ 1 (/ 1 (- x y))) ( z 1/2)) (-.f64 x y))) z)
✓	32.3%	(/.f64 #s(approx (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
✓	36.9%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
✓	100.0%	#s(approx (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
▶	70.7%	#s(approx (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
▶	97.3%	#s(approx (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (fma.f64 (-.f64 (/.f64 x z) (/.f64 y z)) #s(literal 4 binary64) #s(literal -2 binary64)))
✓	32.2%	#s(approx (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
✓	65.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
✓	36.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal 4 binary64) z) x))
✓	35.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 98 to 66 computations (32.7% saved)

simplify175.0ms (2%)

Memory

-4.5MiB live, 111.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x y)
cost-diff	0	#s(approx (- (/ 1 (/ 1 (- x y))) (* z 1/2)) (-.f64 x y))
cost-diff	0	(.f64 #s(literal 4 binary64) #s(approx (- (/ 1 (/ 1 (- x y))) ( z 1/2)) (-.f64 x y)))
cost-diff	0	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (/ 1 (/ 1 (- x y))) ( z 1/2)) (-.f64 x y))) z)
cost-diff	0	(/.f64 x z)
cost-diff	0	(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
cost-diff	0	#s(approx (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
cost-diff	0	(/.f64 x z)
cost-diff	0	(fma.f64 (-.f64 (/.f64 x z) (/.f64 y z)) #s(literal 4 binary64) #s(literal -2 binary64))
cost-diff	0	#s(approx (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (fma.f64 (-.f64 (/.f64 x z) (/.f64 y z)) #s(literal 4 binary64) #s(literal -2 binary64)))
cost-diff	704	(-.f64 (/.f64 x z) (/.f64 y z))

Rules

2 928×	`lower-fma.f32`
2 924×	`lower-fma.f64`
1 344×	`lower-*.f32`
1 342×	`lower-*.f64`
1 004×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	147
0	35	127
1	64	127
2	122	121
3	274	115
4	628	115
5	1475	115
6	3334	115
7	4524	115
8	4891	115
9	4939	115
10	4966	115
11	4982	115
12	5450	115
13	5618	115
14	5618	115
15	5618	115
0	5618	112

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize92.0ms (1.1%)

Memory

2.3MiB live, 119.2MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(.f64 #s(literal 4 binary64) #s(approx (- (/ 1 (/ 1 (- x y))) ( z 1/2)) (-.f64 x y)))
accuracy	0.015625	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (/ 1 (/ 1 (- x y))) ( z 1/2)) (-.f64 x y))) z)
accuracy	22.012665708924427	#s(approx (- (/ 1 (/ 1 (- x y))) (* z 1/2)) (-.f64 x y))
accuracy	0	(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
accuracy	0	(/.f64 x z)
accuracy	18.77881552683313	#s(approx (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
accuracy	0	(/.f64 y z)
accuracy	0	(/.f64 x z)
accuracy	0	#s(approx (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (fma.f64 (-.f64 (/.f64 x z) (/.f64 y z)) #s(literal 4 binary64) #s(literal -2 binary64)))
accuracy	1.6093667433208232	(-.f64 (/.f64 x z) (/.f64 y z))

Samples

66.0ms

256×

valid

Compiler

Compiled 121 to 23 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 8.0ms (37.1% of total)

ival-mult: 6.0ms (27.8% of total)

ival-sub: 4.0ms (18.5% of total)

ival-add: 3.0ms (13.9% of total)

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

exact: 0.0ms (0% of total)

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

series53.0ms (0.6%)

Memory

-32.4MiB live, 55.1MiB allocated

Counts

11 → 348

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
23.0ms	y	@	-inf	((- (/ x z) (/ y z)) (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (+ (* (- (/ x z) (/ y z)) 4) -2) (/ x z) (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) (- (/ 1 (/ 1 (- x y))) (* z 1/2)) (- x y) (/ y z))
1.0ms	z	@	-inf	((- (/ x z) (/ y z)) (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (+ (* (- (/ x z) (/ y z)) 4) -2) (/ x z) (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) (- (/ 1 (/ 1 (- x y))) (* z 1/2)) (- x y) (/ y z))
1.0ms	x	@	-inf	((- (/ x z) (/ y z)) (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (+ (* (- (/ x z) (/ y z)) 4) -2) (/ x z) (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) (- (/ 1 (/ 1 (- x y))) (* z 1/2)) (- x y) (/ y z))
1.0ms	x	@	0	((- (/ x z) (/ y z)) (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (+ (* (- (/ x z) (/ y z)) 4) -2) (/ x z) (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) (- (/ 1 (/ 1 (- x y))) (* z 1/2)) (- x y) (/ y z))
1.0ms	x	@	inf	((- (/ x z) (/ y z)) (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (+ (* (- (/ x z) (/ y z)) 4) -2) (/ x z) (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) (- (/ 1 (/ 1 (- x y))) (* z 1/2)) (- x y) (/ y z))

simplify179.0ms (2.1%)

Memory

27.1MiB live, 223.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 962×	`lower-fma.f64`
9 962×	`lower-fma.f32`
3 806×	`lower-*.f64`
3 806×	`lower-*.f32`
1 730×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	2235
1	578	2234
2	1706	2190
3	5628	2184
0	8525	1996

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 343

Calls

Call 1

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

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

rewrite233.0ms (2.7%)

Memory

6.7MiB live, 283.7MiB allocated

Rules

5 122×	`lower-/.f32`
5 116×	`lower-/.f64`
4 904×	`lower-*.f32`
4 902×	`lower-*.f64`
3 316×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	131
0	35	105
1	167	105
2	1361	105
0	8657	100

Stop Event

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

Counts

11 → 352

Calls

Call 1

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

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

eval167.0ms (1.9%)

Memory: 3.4MiB live, 239.7MiB allocated
Compiler: Compiled 11 514 to 1 346 computations (88.3% saved)

prune90.0ms (1%)

Memory

-0.5MiB live, 155.3MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	739	0	739
Fresh	0	0	0
Picked	0	3	3
Done	0	7	7
Total	739	10	749

Accuracy

100.0%

Counts

749 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.8%	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (/ 1 (/ 1 (- x y))) ( z 1/2)) (-.f64 x y))) z)
✓	32.3%	(/.f64 #s(approx (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
✓	36.9%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
✓	100.0%	#s(approx (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
✓	70.7%	#s(approx (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
✓	97.3%	#s(approx (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (fma.f64 (-.f64 (/.f64 x z) (/.f64 y z)) #s(literal 4 binary64) #s(literal -2 binary64)))
✓	32.2%	#s(approx (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
✓	65.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
✓	36.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal 4 binary64) z) x))
✓	35.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 267 to 111 computations (58.4% saved)

regimes203.0ms (2.4%)

Memory

-2.2MiB live, 34.1MiB allocated

Counts

21 → 1

Calls

Call 1

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

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

Calls

5 calls:

177.0ms	y
7.0ms	z
7.0ms	(-.f64 x y)
6.0ms	x
6.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
100.0%	1	`(-.f64 x y)`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes32.0ms (0.4%)

Memory

-3.4MiB live, 38.7MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

5 calls:

12.0ms	z
5.0ms	(-.f64 x y)
5.0ms	y
5.0ms	x
4.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
99.8%	1	`(-.f64 x y)`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes28.0ms (0.3%)

Memory

10.7MiB live, 46.9MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

8.0ms	z
5.0ms	y
5.0ms	(-.f64 x y)
5.0ms	x
5.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
88.4%	3	`x`
88.0%	3	`y`
88.1%	3	`z`
99.4%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
83.4%	3	`(-.f64 x y)`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes11.0ms (0.1%)

Memory

-15.9MiB live, 21.6MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

7.0ms	x
4.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
88.4%	3	`x`
73.7%	2	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes4.0ms (0%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
88.3%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

3.0ms	z
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
68.7%	3	`y`
65.6%	1	`z`
83.5%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes35.0ms (0.4%)

Memory

-20.7MiB live, 17.2MiB allocated

Counts

7 → 4

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	(-.f64 x y)
3.0ms	x
3.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
72.2%	4	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
57.2%	4	`(-.f64 x y)`
58.8%	3	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes3.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

5 → 4

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
72.2%	4	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

4 → 4

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
72.1%	4	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes5.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

2.0ms	z
2.0ms	y
1.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
54.5%	3	`z`
54.1%	3	`y`
64.8%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes19.0ms (0.2%)

Memory

-34.0MiB live, 14.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

14.0ms	y
1.0ms	(-.f64 x y)
1.0ms	x
1.0ms	z
1.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
35.6%	1	`y`
35.6%	1	`z`
35.6%	1	`(-.f64 x y)`
35.6%	1	`x`
35.6%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	76457383360229.03	173366886993456130.0
0.0ms	-2.6638534239581574e+31	-2.405682573804319e+19

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch21.0ms (0.2%)

Memory

37.5MiB live, 37.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.546424754402771e-75	3.540056679747062e-73
9.0ms	-1.469870543546196e+86	-2.851785155425908e+85

Samples

11.0ms

208×

valid

Compiler

Compiled 303 to 224 computations (26.1% saved)

Precisions

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

ival-sub: 2.0ms (31% of total)

ival-mult: 2.0ms (31% of total)

ival-div: 1.0ms (15.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch4.0ms (0.1%)

Memory

-32.8MiB live, 3.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.546424754402771e-75	3.540056679747062e-73
4.0ms	-1.469870543546196e+86	-2.851785155425908e+85

Compiler

Compiled 303 to 224 computations (26.1% saved)

bsearch51.0ms (0.6%)

Memory

3.0MiB live, 77.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.430520254931812e+130	2.5079217857559493e+140
13.0ms	-3.3249933636625005e+152	-8.288236962792877e+145

Samples

19.0ms

304×

valid

Compiler

Compiled 416 to 301 computations (27.6% saved)

Precisions

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

ival-mult: 7.0ms (56.3% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.2573363358288766e+104	5.636637791055152e+104
0.0ms	-1.9854120834595108	606050.3780048554
0.0ms	-17098195.45078393	-2.0363648512472907

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.2573363358288766e+104	5.636637791055152e+104
0.0ms	-1.9854120834595108	606050.3780048554
0.0ms	-17098195.45078393	-2.0363648512472907

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory

1.6MiB live, 1.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.2573363358288766e+104	5.636637791055152e+104
0.0ms	-1.9854120834595108	606050.3780048554
0.0ms	-17098195.45078393	-2.0363648512472907

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.9854120834595108	606050.3780048554
0.0ms	-2.6638534239581574e+31	-2.405682573804319e+19

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify43.0ms (0.5%)

Memory

-23.0MiB live, 35.8MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
12×	`+-commutative_binary64`
12×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	710
1	106	710
2	119	710
3	127	710
4	132	710
5	133	710

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -19999999999999999271792589930496 binary64)) (/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 100000000000000 binary64)) #s(approx (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z)))
(if (<=.f64 x #s(literal -35999999999999997766006489588069914141019202652317401153586399469958047048031646253056 binary64)) #s(approx (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (if (<=.f64 x #s(literal 3978585891278293/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) #s(approx (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))))
(if (<=.f64 x #s(literal -35999999999999997766006489588069914141019202652317401153586399469958047048031646253056 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) (if (<=.f64 x #s(literal 3978585891278293/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))))
(if (<=.f64 x #s(literal -88000000000000003475932894621704701241168989720465884215883456690889181384937600693310285185828141403369648335847719263365425839652113092949573632 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) z) (if (<=.f64 x #s(literal 4600000000000000244032183061471369190953347997362641275226050302642282693638161614965720444493829105013400440092845135354297247936282624 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -10000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 200000000000000000383135017146933747243191025453038402230560702919875864840797751192247229021636064706560 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) z) (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -10000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal 4 binary64) z) x)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 200000000000000000383135017146933747243191025453038402230560702919875864840797751192247229021636064706560 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal 4 binary64) z) x)) (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -10000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal 4 binary64) z) x)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 200000000000000000383135017146933747243191025453038402230560702919875864840797751192247229021636064706560 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal 4 binary64) z) x)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -19999999999999999271792589930496 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal -4 binary64) z) y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Outputs
#s(approx (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -19999999999999999271792589930496 binary64)) (/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 100000000000000 binary64)) #s(approx (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z)))
(if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -19999999999999999271792589930496 binary64)) (/.f64 (.f64 #s(approx (- (- x y) ( z 1/2)) (-.f64 x y)) #s(literal 4 binary64)) z) (if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal 100000000000000 binary64)) #s(approx (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 (.f64 #s(approx (- (- x y) ( z 1/2)) (-.f64 x y)) #s(literal 4 binary64)) z)))
(if (<=.f64 x #s(literal -35999999999999997766006489588069914141019202652317401153586399469958047048031646253056 binary64)) #s(approx (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (if (<=.f64 x #s(literal 3978585891278293/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) #s(approx (/ (* 4 (- (/ 1 (/ 1 (- x y))) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))))
(if (<=.f64 x #s(literal -35999999999999997766006489588069914141019202652317401153586399469958047048031646253056 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) (if (<=.f64 x #s(literal 3978585891278293/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))))
(if (<=.f64 x #s(literal -88000000000000003475932894621704701241168989720465884215883456690889181384937600693310285185828141403369648335847719263365425839652113092949573632 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) z) (if (<=.f64 x #s(literal 4600000000000000244032183061471369190953347997362641275226050302642282693638161614965720444493829105013400440092845135354297247936282624 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -10000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 200000000000000000383135017146933747243191025453038402230560702919875864840797751192247229021636064706560 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) z) (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -10000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) z) (if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal 200000000000000000383135017146933747243191025453038402230560702919875864840797751192247229021636064706560 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) z) (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -10000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal 4 binary64) z) x)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 200000000000000000383135017146933747243191025453038402230560702919875864840797751192247229021636064706560 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal 4 binary64) z) x)) (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -10000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal 4 binary64) z) x)) (if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal 200000000000000000383135017146933747243191025453038402230560702919875864840797751192247229021636064706560 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal 4 binary64) z) x)) (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -10000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal 4 binary64) z) x)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 200000000000000000383135017146933747243191025453038402230560702919875864840797751192247229021636064706560 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal 4 binary64) z) x)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -10000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal 4 binary64) z) x)) (if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal 200000000000000000383135017146933747243191025453038402230560702919875864840797751192247229021636064706560 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal 4 binary64) z) x)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -19999999999999999271792589930496 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal -4 binary64) z) y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -19999999999999999271792589930496 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal -4 binary64) z) y)) (if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

soundness1.5s (17%)

Memory

24.1MiB live, 868.4MiB allocated

Rules

9 634×	`lower-fma.f64`
9 634×	`lower-fma.f32`
9 394×	`lower-fma.f64`
9 394×	`lower-fma.f32`
7 352×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	890
1	390	889
2	1127	887
3	3264	885
0	8225	800
0	31	154
0	44	138
1	162	138
2	961	138
0	9016	128
0	10	33
0	15	33
1	60	33
2	470	33
3	6831	33
0	8009	30
0	260	3992
1	787	3948
2	2247	3725
3	7514	3718
0	8306	3458
0	34	166
0	48	146
1	201	146
2	1340	146
0	8346	140

Stop Event

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

Compiler

Compiled 670 to 265 computations (60.4% saved)

preprocess322.0ms (3.8%)

Memory: -12.2MiB live, 143.4MiB allocated
Compiler: Compiled 834 to 176 computations (78.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze53.0ms (0.6%)

sample1.1s (12.9%)

explain124.0ms (1.5%)

preprocess231.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify222.0ms (2.6%)

localize27.0ms (0.3%)

series14.0ms (0.2%)

simplify191.0ms (2.2%)

rewrite244.0ms (2.8%)

eval64.0ms (0.7%)

prune92.0ms (1.1%)

simplify380.0ms (4.4%)

localize97.0ms (1.1%)

series211.0ms (2.5%)

simplify221.0ms (2.6%)

rewrite254.0ms (3%)

eval154.0ms (1.8%)

prune127.0ms (1.5%)

simplify292.0ms (3.4%)

localize67.0ms (0.8%)

series32.0ms (0.4%)

simplify178.0ms (2.1%)

rewrite279.0ms (3.3%)

eval396.0ms (4.6%)

prune271.0ms (3.2%)

simplify175.0ms (2%)

localize92.0ms (1.1%)

series53.0ms (0.6%)

simplify179.0ms (2.1%)

rewrite233.0ms (2.7%)

eval167.0ms (1.9%)

prune90.0ms (1%)

regimes203.0ms (2.4%)

regimes32.0ms (0.4%)

regimes28.0ms (0.3%)

regimes11.0ms (0.1%)

regimes4.0ms (0%)

regimes10.0ms (0.1%)

regimes35.0ms (0.4%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

regimes19.0ms (0.2%)

bsearch0.0ms (0%)

bsearch21.0ms (0.2%)

bsearch4.0ms (0.1%)

bsearch51.0ms (0.6%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify43.0ms (0.5%)

soundness1.5s (17%)

preprocess322.0ms (3.8%)

end0.0ms (0%)

Profiling