Metrics for Diagrams.Backend.Rasterific:rasterificRadialGradient from diagrams-rasterific-1.3.1.3

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze96.0ms (0.8%)

Memory

5.0MiB live, 50.9MiB 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 11 to 9 computations (18.2% saved)

sample3.7s (30.3%)

Memory

-18.3MiB live, 736.7MiB allocated

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-add: 947.0ms (75.6% of total)

ival-mult: 200.0ms (16% of total)

ival-div: 54.0ms (4.3% of total)

ival-sub: 44.0ms (3.5% of total)

ival-true: 6.0ms (0.5% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain75.0ms (0.6%)

Memory

26.4MiB live, 165.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
42	-	-	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`
0	-	-	`(+.f64 x (*.f64 y (-.f64 z x)))`
0	-	-	`y`
0	-	-	`(*.f64 y (-.f64 z x))`
0	-	-	`(-.f64 z x)`
0	-	-	`z`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`	o/n	42	0
↳	`(+.f64 x (*.f64 y (-.f64 z x)))`	overflow	68
↳	`(*.f64 y (-.f64 z x))`	overflow	68

Confusion

	Predicted +	Predicted -
+	42	0
-	0	214

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	42	0	0
-	0	0	214

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	214
1	42

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 70 to 25 computations (64.3% saved)

Precisions

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

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

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

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

ival-add: 2.0ms (16% of total)

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

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

preprocess574.0ms (4.7%)

Memory

17.2MiB live, 342.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 344×	`lower-fma.f64`
8 344×	`lower-fma.f32`
2 504×	`lower-*.f32`
2 502×	`lower-*.f64`
1 716×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	94
1	80	84
2	199	81
3	727	81
4	2078	81
5	4862	81
6	6285	81
7	6828	81
8	7073	81
9	7124	81
10	7128	81
11	7262	81
12	7598	81
13	7712	81
14	7758	81
15	7772	81
16	7784	81
17	7786	81
18	7786	81
0	7	9
0	11	9
1	15	9
2	26	9
3	50	9
4	86	9
5	135	9
6	239	9
7	484	9
8	1326	9
9	2849	9
10	3795	9
11	4257	9
12	4520	9
13	4651	9
14	4666	9
15	6168	9
16	6644	9
17	6908	9
18	7050	9
19	7172	9
20	7172	9
21	7449	9
22	7555	9
23	7555	9
24	7695	9
0	8143	8

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.4%	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify389.0ms (3.2%)

Memory

-20.1MiB live, 300.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 z x)
cost-diff	0	(*.f64 y (-.f64 z x))
cost-diff	0	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
cost-diff	128	(+.f64 x (*.f64 y (-.f64 z x)))

Rules

8 344×	`lower-fma.f64`
8 344×	`lower-fma.f32`
2 504×	`lower-*.f32`
2 502×	`lower-*.f64`
1 352×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	27
0	11	27
1	15	27
2	26	27
3	50	27
4	86	27
5	135	27
6	239	27
7	484	27
8	1326	27
9	2849	27
10	3795	27
11	4257	27
12	4520	27
13	4651	27
14	4666	27
15	6168	27
16	6644	27
17	6908	27
18	7050	27
19	7172	27
20	7172	27
21	7449	27
22	7555	27
23	7555	27
24	7695	27
0	8143	25

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(+.f64 x (*.f64 y (-.f64 z x)))
x
(*.f64 y (-.f64 z x))
y
(-.f64 z x)
z

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

localize81.0ms (0.7%)

Memory

22.5MiB live, 64.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z x)
accuracy	0.00390625	(*.f64 y (-.f64 z x))
accuracy	0.0078125	(+.f64 x (*.f64 y (-.f64 z x)))
accuracy	9.982532116440037	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Samples

13.0ms

256×

valid

Compiler

Compiled 29 to 9 computations (69% saved)

Precisions

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

ival-div: 2.0ms (32.8% of total)

ival-mult: 2.0ms (32.8% of total)

ival-sub: 1.0ms (16.4% of total)

ival-add: 1.0ms (16.4% of total)

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

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

series10.0ms (0.1%)

Memory

23.1MiB live, 23.1MiB allocated

Counts

4 → 132

Calls

Call 1

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

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

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (+ x (* y (- z x))) z)
1.0ms	y	@	inf	(+ x (* y (- z x)))
0.0ms	z	@	-inf	(/ (+ x (* y (- z x))) z)
0.0ms	x	@	inf	(+ x (* y (- z x)))
0.0ms	y	@	-inf	(+ x (* y (- z x)))

simplify250.0ms (2%)

Memory

4.7MiB live, 335.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 428×	`lower-fma.f64`
7 428×	`lower-fma.f32`
2 496×	`lower-*.f64`
2 496×	`lower-*.f32`
1 468×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	910
1	346	796
2	1046	742
3	3270	742
4	5774	742
5	7679	742
0	8077	688

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 125

Calls

Call 1

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

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

rewrite376.0ms (3.1%)

Memory

8.5MiB live, 529.1MiB allocated

Rules

4 848×	`lower-fma.f64`
4 848×	`lower-fma.f32`
4 800×	`lower-*.f32`
4 798×	`lower-*.f64`
3 004×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
0	11	24
1	46	24
2	352	24
3	4576	24
0	9115	22

Stop Event

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

Counts

4 → 373

Calls

Call 1

Inputs
(+.f64 x (*.f64 y (-.f64 z x)))
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(*.f64 y (-.f64 z x))
(-.f64 z x)

Outputs
(+.f64 x (*.f64 y (-.f64 z x)))
(+.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 (/.f64 (.f64 x x) (fma.f64 (-.f64 z x) (neg.f64 y) x)) (neg.f64 (/.f64 (.f64 (.f64 y y) (.f64 (-.f64 z x) (-.f64 z x))) (fma.f64 (-.f64 z x) (neg.f64 y) x))))
(+.f64 (*.f64 y z) (fma.f64 y (neg.f64 x) x))
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 (-.f64 z x) (neg.f64 y))))
(+.f64 (neg.f64 (*.f64 (-.f64 z x) (neg.f64 y))) (neg.f64 (neg.f64 x)))
(+.f64 (+.f64 x (.f64 y z)) (.f64 y (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 z x) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y (-.f64 z x) x)))
(-.f64 (/.f64 (.f64 x x) (fma.f64 (-.f64 z x) (neg.f64 y) x)) (/.f64 (.f64 (.f64 y y) (.f64 (-.f64 z x) (-.f64 z x))) (fma.f64 (-.f64 z x) (neg.f64 y) x)))
(-.f64 (/.f64 (.f64 (.f64 y y) (.f64 (-.f64 z x) (-.f64 z x))) (fma.f64 y (-.f64 z x) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 y (-.f64 z x) (neg.f64 x))))
(fma.f64 x (/.f64 x (fma.f64 (-.f64 z x) (neg.f64 y) x)) (neg.f64 (/.f64 (.f64 (.f64 y y) (*.f64 (-.f64 z x) (-.f64 z x))) (fma.f64 (-.f64 z x) (neg.f64 y) x))))
(fma.f64 y z (fma.f64 y (neg.f64 x) x))
(fma.f64 y (-.f64 z x) x)
(fma.f64 z y (fma.f64 y (neg.f64 x) x))
(fma.f64 (-.f64 z x) y x)
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z x) (neg.f64 y) x)) (neg.f64 (/.f64 (.f64 (.f64 y y) (.f64 (-.f64 z x) (-.f64 z x))) (fma.f64 (-.f64 z x) (neg.f64 y) x))))
(fma.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))) y) x)
(fma.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) (/.f64 y (fma.f64 x (+.f64 x z) (.f64 z z))) x)
(fma.f64 (.f64 (-.f64 z x) (+.f64 x z)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) y) x)
(fma.f64 (*.f64 (-.f64 z x) (+.f64 x z)) (/.f64 y (+.f64 x z)) x)
(fma.f64 (.f64 y (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))) x)
(fma.f64 (.f64 (+.f64 x z) (.f64 y (-.f64 z x))) (/.f64 #s(literal 1 binary64) (+.f64 x z)) x)
(fma.f64 (/.f64 (.f64 x x) (.f64 (fma.f64 y (-.f64 z x) x) (fma.f64 (-.f64 z x) (neg.f64 y) x))) (fma.f64 y (-.f64 z x) x) (neg.f64 (/.f64 (.f64 (.f64 y y) (*.f64 (-.f64 z x) (-.f64 z x))) (fma.f64 (-.f64 z x) (neg.f64 y) x))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (fma.f64 (.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) x) (.f64 x x)) (fma.f64 (-.f64 z x) (neg.f64 y) x))) (fma.f64 (.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) x) (.f64 x x)) (neg.f64 (/.f64 (.f64 (.f64 y y) (*.f64 (-.f64 z x) (-.f64 z x))) (fma.f64 (-.f64 z x) (neg.f64 y) x))))
(fma.f64 (/.f64 (.f64 y (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (+.f64 x z) (+.f64 x z)) (+.f64 x z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) (fma.f64 (.f64 x (+.f64 x z)) (-.f64 (.f64 x (+.f64 x z)) (.f64 z z)) (.f64 z (.f64 z (*.f64 z z)))) x)
(fma.f64 (/.f64 (.f64 y (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))) (.f64 (fma.f64 x (+.f64 x z) (.f64 z z)) (-.f64 (.f64 z z) (.f64 x (+.f64 x z))))) (-.f64 (.f64 z z) (.f64 x (+.f64 x z))) x)
(fma.f64 (/.f64 (.f64 (+.f64 x z) (.f64 y (-.f64 z x))) (*.f64 (-.f64 z x) (+.f64 x z))) (-.f64 z x) x)
(fma.f64 (/.f64 (.f64 (+.f64 x z) (.f64 y (-.f64 z x))) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))) (fma.f64 x (-.f64 x z) (.f64 z z)) x)
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (-.f64 z x) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (-.f64 z x) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) #s(literal 1 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))) y) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) #s(literal 1 binary64)) (pow.f64 (/.f64 y (fma.f64 x (+.f64 x z) (.f64 z z))) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (.f64 (-.f64 z x) (+.f64 x z)) #s(literal 1 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) y) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (*.f64 (-.f64 z x) (+.f64 x z)) #s(literal 1 binary64)) (pow.f64 (/.f64 y (+.f64 x z)) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (.f64 y (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (.f64 (+.f64 x z) (.f64 y (-.f64 z x))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (/.f64 (.f64 y (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (+.f64 x z) (+.f64 x z)) (+.f64 x z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 x (+.f64 x z)) (-.f64 (.f64 x (+.f64 x z)) (.f64 z z)) (.f64 z (.f64 z (*.f64 z z)))) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (/.f64 (.f64 y (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))) (.f64 (fma.f64 x (+.f64 x z) (.f64 z z)) (-.f64 (.f64 z z) (.f64 x (+.f64 x z))))) #s(literal 1 binary64)) (pow.f64 (-.f64 (.f64 z z) (.f64 x (+.f64 x z))) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (/.f64 (.f64 (+.f64 x z) (.f64 y (-.f64 z x))) (*.f64 (-.f64 z x) (+.f64 x z))) #s(literal 1 binary64)) (pow.f64 (-.f64 z x) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (/.f64 (.f64 (+.f64 x z) (.f64 y (-.f64 z x))) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 x z) (.f64 z z)) #s(literal 1 binary64)) x)
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (-.f64 z x))) x)
(fma.f64 (exp.f64 (log.f64 (-.f64 z x))) (exp.f64 (log.f64 y)) x)
(neg.f64 (neg.f64 (fma.f64 y (-.f64 z x) x)))
(/.f64 (.f64 (fma.f64 y (-.f64 z x) x) (fma.f64 (-.f64 z x) (.f64 y (fma.f64 y (-.f64 z x) (neg.f64 x))) (.f64 x x))) (fma.f64 (-.f64 z x) (.f64 y (fma.f64 y (-.f64 z x) (neg.f64 x))) (*.f64 x x)))
(/.f64 (.f64 (fma.f64 y (-.f64 z x) x) (fma.f64 (-.f64 z x) (.f64 y (fma.f64 y (-.f64 z x) (neg.f64 x))) (.f64 x x))) (neg.f64 (neg.f64 (fma.f64 (-.f64 z x) (.f64 y (fma.f64 y (-.f64 z x) (neg.f64 x))) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 z x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 z x) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 z x) (neg.f64 x)) (*.f64 (fma.f64 y (-.f64 z x) x) (fma.f64 y (-.f64 z x) (neg.f64 x)))))
(/.f64 (*.f64 (fma.f64 y (-.f64 z x) x) (fma.f64 (-.f64 z x) (neg.f64 y) x)) (fma.f64 (-.f64 z x) (neg.f64 y) x))
(/.f64 (*.f64 (fma.f64 y (-.f64 z x) x) (fma.f64 (-.f64 z x) (neg.f64 y) x)) (neg.f64 (neg.f64 (fma.f64 (-.f64 z x) (neg.f64 y) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 z x) x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y (-.f64 z x) x) (fma.f64 (-.f64 z x) (neg.f64 y) x))) (neg.f64 (fma.f64 (-.f64 z x) (neg.f64 y) x)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (pow.f64 (.f64 y (-.f64 z x)) #s(literal 9 binary64))) (.f64 (fma.f64 (-.f64 z x) (.f64 y (fma.f64 y (-.f64 z x) (neg.f64 x))) (.f64 x x)) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 y (-.f64 z x)) (.f64 (-.f64 z x) (-.f64 z x))) (.f64 y y)) (-.f64 (.f64 (.f64 (.f64 y (-.f64 z x)) (.f64 (-.f64 z x) (-.f64 z x))) (.f64 y y)) (.f64 x (.f64 x x)))))))
(/.f64 (.f64 (fma.f64 (.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) x) (.f64 x x)) (fma.f64 (-.f64 z x) (neg.f64 y) x)) (neg.f64 (fma.f64 (-.f64 z x) (.f64 y (fma.f64 y (-.f64 z x) (neg.f64 x))) (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 y (-.f64 z x) x) (fma.f64 y (-.f64 z x) (neg.f64 x))) (fma.f64 y (-.f64 z x) (neg.f64 x)))
(/.f64 (.f64 (.f64 (fma.f64 y (-.f64 z x) x) (fma.f64 (-.f64 z x) (.f64 y (fma.f64 y (-.f64 z x) (neg.f64 x))) (.f64 x x))) (.f64 (fma.f64 (.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) x) (.f64 x x)) (fma.f64 (-.f64 z x) (neg.f64 y) x))) (.f64 (fma.f64 (-.f64 z x) (.f64 y (fma.f64 y (-.f64 z x) (neg.f64 x))) (.f64 x x)) (.f64 (fma.f64 (.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) x) (*.f64 x x)) (fma.f64 (-.f64 z x) (neg.f64 y) x))))
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(fma.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (.f64 z z))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x z) (.f64 z z)))))
(fma.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) (+.f64 x z)) (neg.f64 (.f64 x (/.f64 x (+.f64 x z)))))
(fma.f64 (.f64 z z) (/.f64 z (fma.f64 x (+.f64 x z) (.f64 z z))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x z) (*.f64 z z)))))
(fma.f64 #s(literal 1 binary64) z (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x z)
(fma.f64 #s(literal -1 binary64) (neg.f64 z) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (fma.f64 x (+.f64 x z) (.f64 z z))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x z) (.f64 z z)))))
(fma.f64 (/.f64 (.f64 z z) (.f64 (-.f64 z x) (+.f64 x z))) (-.f64 z x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x z)))))
(fma.f64 (/.f64 (.f64 z z) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))) (fma.f64 x (-.f64 x z) (.f64 z z)) (neg.f64 (.f64 x (/.f64 x (+.f64 x z)))))
(fma.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (+.f64 x z) (+.f64 x z)) (+.f64 x z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) (fma.f64 (.f64 x (+.f64 x z)) (-.f64 (.f64 x (+.f64 x z)) (.f64 z z)) (.f64 z (.f64 z (.f64 z z)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x z) (.f64 z z)))))
(fma.f64 (/.f64 (.f64 z (.f64 z z)) (.f64 (fma.f64 x (+.f64 x z) (.f64 z z)) (-.f64 (.f64 z z) (.f64 x (+.f64 x z))))) (-.f64 (.f64 z z) (.f64 x (+.f64 x z))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x z) (*.f64 z z)))))
(neg.f64 (neg.f64 (-.f64 z x)))
(/.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) (fma.f64 x (+.f64 x z) (.f64 z z)))
(/.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) (fma.f64 x x (-.f64 (.f64 z z) (*.f64 z (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 z x) (+.f64 x z)) (+.f64 x z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))) (neg.f64 (fma.f64 x (+.f64 x z) (.f64 z z))))
(/.f64 (neg.f64 (*.f64 (-.f64 z x) (+.f64 x z))) (neg.f64 (+.f64 x z)))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (fma.f64 x (+.f64 x z) (.f64 z z)) (fma.f64 z (.f64 (.f64 z (.f64 z z)) (.f64 z z)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))) (.f64 (fma.f64 x (+.f64 x z) (.f64 z z)) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))) (.f64 (+.f64 x z) (fma.f64 z (.f64 z (.f64 z z)) (.f64 (.f64 x x) (fma.f64 x x (*.f64 z z))))))
(/.f64 (.f64 (fma.f64 x x (.f64 z z)) (.f64 (-.f64 z x) (+.f64 x z))) (.f64 (+.f64 x z) (fma.f64 x x (*.f64 z z))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (fma.f64 x (+.f64 x z) (.f64 z z))) (.f64 (fma.f64 x (+.f64 x z) (.f64 z z)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x (+.f64 x z) (.f64 z z)) (fma.f64 x (+.f64 x z) (*.f64 z z))))
(/.f64 (-.f64 (.f64 (.f64 z z) (+.f64 x z)) (.f64 (+.f64 x z) (.f64 x x))) (*.f64 (+.f64 x z) (+.f64 x z)))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) #s(literal 1 binary64)) (fma.f64 x (+.f64 x z) (*.f64 z z)))
(/.f64 (.f64 (.f64 (-.f64 z x) (+.f64 x z)) #s(literal 1 binary64)) (+.f64 x z))
(/.f64 (.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (fma.f64 z (.f64 (.f64 z (.f64 z z)) (.f64 z z)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))))) (fma.f64 x (+.f64 x z) (*.f64 z z))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) (fma.f64 x (+.f64 x z) (*.f64 z z))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))) #s(literal 1 binary64)) (.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 (.f64 x x) (fma.f64 x x (.f64 z z)))) (+.f64 x z)))
(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 z z)) (.f64 (-.f64 z x) (+.f64 x z))) #s(literal 1 binary64)) (.f64 (fma.f64 x x (.f64 z z)) (+.f64 x z)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x z) (.f64 z z)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 z x) (+.f64 x z)))) (neg.f64 (neg.f64 (+.f64 x z))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (.f64 (fma.f64 x (+.f64 x z) (.f64 z z)) (fma.f64 x (+.f64 x z) (.f64 z z))) (fma.f64 x (+.f64 x z) (.f64 z z)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 (fma.f64 x (+.f64 x z) (.f64 z z)) (fma.f64 x (+.f64 x z) (.f64 z z))) (fma.f64 x (+.f64 x z) (.f64 z z))))) (fma.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 x (+.f64 x z) (.f64 z z))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 x (+.f64 x z) (.f64 z z))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x z) (.f64 z z))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x z) (.f64 z z))) (.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 x (+.f64 x z) (.f64 z z))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x z) (*.f64 z z)))))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 (+.f64 x z) (+.f64 x z)) (+.f64 x z))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (+.f64 x z) (+.f64 x z)) (+.f64 x z)))) (fma.f64 (/.f64 (.f64 z z) (+.f64 x z)) (/.f64 (.f64 z z) (+.f64 x z)) (fma.f64 (.f64 x (/.f64 x (+.f64 x z))) (.f64 x (/.f64 x (+.f64 x z))) (.f64 (/.f64 (.f64 z z) (+.f64 x z)) (*.f64 x (/.f64 x (+.f64 x z)))))))
(/.f64 (-.f64 (.f64 x x) (.f64 z z)) (-.f64 (neg.f64 x) z))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 x (+.f64 x z) (.f64 z z))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 x (+.f64 x z) (.f64 z z)))) (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x z) (.f64 z z))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x z) (.f64 z z))))) (fma.f64 z (/.f64 (.f64 z z) (fma.f64 x (+.f64 x z) (.f64 z z))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x z) (*.f64 z z)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 z z) (+.f64 x z)) (/.f64 (.f64 z z) (+.f64 x z))) (.f64 (.f64 x (/.f64 x (+.f64 x z))) (.f64 x (/.f64 x (+.f64 x z))))) (fma.f64 z (/.f64 z (+.f64 x z)) (*.f64 x (/.f64 x (+.f64 x z)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (.f64 z z)))) (fma.f64 z (.f64 (.f64 z (.f64 z z)) (.f64 z z)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (.f64 z z)))) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 (.f64 x x) (fma.f64 x x (*.f64 z z)))))
(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 z z)) (.f64 (-.f64 z x) (+.f64 x z))) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (fma.f64 x x (*.f64 z z)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))))
(.f64 (fma.f64 x (+.f64 x z) (.f64 z z)) (.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (.f64 z z)))))
(.f64 (fma.f64 x (+.f64 x z) (.f64 z z)) (/.f64 (-.f64 z x) (fma.f64 x (+.f64 x z) (*.f64 z z))))
(*.f64 #s(literal 1 binary64) (-.f64 z x))
(.f64 (.f64 (-.f64 z x) (+.f64 x z)) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(.f64 (+.f64 x z) (.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))))
(*.f64 (+.f64 x z) (/.f64 (-.f64 z x) (+.f64 x z)))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)))))
(.f64 (neg.f64 (.f64 (-.f64 z x) (+.f64 x z))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x z))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (.f64 z z))) (fma.f64 x (.f64 x x) (.f64 z (*.f64 z z))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (.f64 z z))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) (.f64 z (*.f64 z z)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (.f64 (-.f64 z x) (+.f64 x z)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 z x) (+.f64 x z))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 z x) (+.f64 x z)) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))) (fma.f64 x (-.f64 x z) (.f64 z z)))
(.f64 (/.f64 (.f64 (-.f64 z x) (+.f64 x z)) (*.f64 (-.f64 z x) (+.f64 x z))) (-.f64 z x))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (+.f64 x z) (+.f64 x z)) (+.f64 x z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) (fma.f64 (.f64 x (+.f64 x z)) (-.f64 (.f64 x (+.f64 x z)) (.f64 z z)) (.f64 z (.f64 z (*.f64 z z)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) (.f64 (fma.f64 x (+.f64 x z) (.f64 z z)) (-.f64 (.f64 z z) (.f64 x (+.f64 x z))))) (-.f64 (.f64 z z) (.f64 x (+.f64 x z))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x z) (.f64 z z)) (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 (.f64 z (.f64 z z)) (.f64 z z)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x z) (.f64 z z)) (.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))))
(.f64 (pow.f64 (/.f64 (+.f64 x z) (.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 (.f64 x x) (fma.f64 x x (*.f64 z z))))))
(.f64 (pow.f64 (/.f64 (+.f64 x z) (.f64 (fma.f64 x x (.f64 z z)) (.f64 (-.f64 z x) (+.f64 x z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 z z))))

eval105.0ms (0.9%)

Memory: 7.8MiB live, 143.1MiB allocated
Compiler: Compiled 13 395 to 1 313 computations (90.2% saved)

prune74.0ms (0.6%)

Memory

-10.7MiB live, 181.7MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	491	7	498
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	492	7	499

Accuracy

100.0%

Counts

499 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.4%	(/.f64 (fma.f64 (-.f64 z x) y x) z)
	63.7%	(/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 y z))) z)
▶	57.1%	(/.f64 #s(approx (+ x (* y (- z x))) (-.f64 x (*.f64 y x))) z)
▶	29.9%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 y z)) z)
▶	99.9%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y))
▶	36.4%	#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
▶	65.4%	#s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (/.f64 (*.f64 y x) z)))

Compiler

Compiled 144 to 80 computations (44.4% saved)

simplify455.0ms (3.7%)

Memory

-25.2MiB live, 133.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

3 880×	`lower-fma.f32`
3 878×	`lower-fma.f64`
2 312×	`lower-/.f32`
2 304×	`lower-/.f64`
2 304×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	157
0	34	158
1	55	158
2	92	158
3	166	158
4	305	158
5	657	158
6	1175	154
7	1957	154
8	2769	154
9	3271	154
10	3522	154
11	3712	154
12	3748	154
13	3776	154
14	4464	154
15	5448	154
16	5754	154
17	5826	154
18	5838	154
19	5842	154
20	6001	154
21	6135	154
22	6289	154
23	6289	154
24	7757	154
0	8133	150

Stop Event

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

Calls

Call 1

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

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

localize90.0ms (0.7%)

Memory

14.2MiB live, 153.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0.0078125	(-.f64 x (*.f64 y x))
accuracy	9.982532116440037	(/.f64 #s(approx (+ x (* y (- z x))) (-.f64 x (*.f64 y x))) z)
accuracy	25.20787876806261	#s(approx (+ x (* y (- z x))) (-.f64 x (*.f64 y x)))
accuracy	0	(*.f64 y x)
accuracy	0.0078125	(-.f64 y (/.f64 (*.f64 y x) z))
accuracy	5.556104964772751	(/.f64 (*.f64 y x) z)
accuracy	19.033652052274775	#s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (/.f64 (*.f64 y x) z)))
accuracy	0	(*.f64 y z)
accuracy	9.982532116440037	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 y z)) z)
accuracy	36.22810697931299	#s(approx (+ x (* y (- z x))) (*.f64 y z))
accuracy	0	(/.f64 x z)
accuracy	40.7112107210572	#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
accuracy	0	(/.f64 x z)
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y))
accuracy	0.03515625	(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)

Samples

69.0ms

256×

valid

Compiler

Compiled 119 to 19 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 11.0ms (42.3% of total)

ival-sub: 7.0ms (26.9% of total)

ival-div: 5.0ms (19.2% of total)

ival-add: 2.0ms (7.7% of total)

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

exact: 0.0ms (0% of total)

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

series37.0ms (0.3%)

Memory

13.8MiB live, 55.0MiB allocated

Counts

15 → 468

Calls

Call 1

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

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

Calls

117 calls:

Time	Variable		Point	Expression
10.0ms	y	@	inf	(- y (/ (* y x) z))
3.0ms	y	@	-inf	(* y x)
1.0ms	y	@	-inf	(+ (* (- 1 y) (/ x z)) y)
1.0ms	x	@	inf	(+ (* (- 1 y) (/ x z)) y)
1.0ms	x	@	0	(- y (/ (* y x) z))

simplify582.0ms (4.7%)

Memory

-1.6MiB live, 418.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 778×	`lower-fma.f64`
8 778×	`lower-fma.f32`
3 540×	`lower-*.f64`
3 540×	`lower-*.f32`
2 144×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	3033
1	413	2925
2	1171	2925
3	3845	2925
4	7830	2925
0	8665	2709

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 444

Calls

Call 1

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

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

rewrite483.0ms (3.9%)

Memory

-21.9MiB live, 366.5MiB allocated

Rules

5 832×	`lower-fma.f32`
5 830×	`lower-fma.f64`
4 158×	`lower-/.f32`
4 150×	`lower-/.f64`
4 012×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	137
0	34	137
1	145	137
2	1128	137
0	8435	130

Stop Event

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

Counts

15 → 332

Calls

Call 1

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

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

eval266.0ms (2.2%)

Memory: 8.6MiB live, 152.2MiB allocated
Compiler: Compiled 12 116 to 908 computations (92.5% saved)

prune400.0ms (3.2%)

Memory

16.3MiB live, 161.8MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	847	6	853
Fresh	2	0	2
Picked	3	2	5
Done	0	0	0
Total	852	8	860

Accuracy

100.0%

Counts

860 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.1%	(/.f64 #s(approx (+ x (* y (- z x))) (fma.f64 (neg.f64 y) x x)) z)
✓	29.9%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 y z)) z)
▶	27.8%	(/.f64 #s(approx (+ x (* y (- z x))) #s(approx (- x (* y x)) (*.f64 y (neg.f64 x)))) z)
▶	70.6%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x (neg.f64 z)) y y))
▶	99.9%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) z) x) y))
▶	76.8%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y))
✓	36.4%	#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
▶	36.3%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x))

Compiler

Compiled 150 to 85 computations (43.3% saved)

simplify340.0ms (2.8%)

Memory

2.2MiB live, 341.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 z)
cost-diff	0	(/.f64 x (neg.f64 z))
cost-diff	0	(fma.f64 (/.f64 x (neg.f64 z)) y y)
cost-diff	0	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x (neg.f64 z)) y y))
cost-diff	0	(*.f64 y (neg.f64 x))
cost-diff	0	#s(approx (- x (* y x)) (*.f64 y (neg.f64 x)))
cost-diff	0	#s(approx (+ x (* y (- z x))) #s(approx (- x (* y x)) (*.f64 y (neg.f64 x))))
cost-diff	0	(/.f64 #s(approx (+ x (* y (- z x))) #s(approx (- x (* y x)) (*.f64 y (neg.f64 x)))) z)
cost-diff	0	(/.f64 x z)
cost-diff	0	#s(approx (- 1 y) #s(literal 1 binary64))
cost-diff	0	(fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)
cost-diff	0	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y))
cost-diff	0	(/.f64 #s(literal 1 binary64) z)
cost-diff	0	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) z) x) y)
cost-diff	0	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) z) x) y))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) z) x)

Rules

6 760×	`lower-fma.f32`
6 754×	`lower-fma.f64`
2 512×	`lower-*.f32`
2 508×	`lower-*.f64`
2 400×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	203
0	45	204
1	82	194
2	155	194
3	346	194
4	629	194
5	876	194
6	1329	189
7	2122	189
8	3034	189
9	3613	189
10	3874	189
11	4057	189
12	4091	189
13	4118	189
14	4851	189
15	5815	189
16	6113	189
17	6169	189
18	6181	189
19	6185	189
20	6349	189
21	6497	189
22	6533	189
23	6533	189
0	8169	187

Stop Event

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

Calls

Call 1

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

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

localize111.0ms (0.9%)

Memory

-17.8MiB live, 303.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x (neg.f64 z))
accuracy	0	(neg.f64 z)
accuracy	1.9541954188015602	(fma.f64 (/.f64 x (neg.f64 z)) y y)
accuracy	19.033652052274775	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x (neg.f64 z)) y y))
accuracy	0	(neg.f64 x)
accuracy	9.982532116440037	(/.f64 #s(approx (+ x (* y (- z x))) #s(approx (- x (* y x)) (*.f64 y (neg.f64 x)))) z)
accuracy	25.20787876806261	#s(approx (+ x (* y (- z x))) #s(approx (- x (* y x)) (*.f64 y (neg.f64 x))))
accuracy	27.045748365059026	#s(approx (- x (* y x)) (*.f64 y (neg.f64 x)))
accuracy	0	(/.f64 x z)
accuracy	0	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y))
accuracy	0.03515625	(fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)
accuracy	36.06035583416032	#s(approx (- 1 y) #s(literal 1 binary64))
accuracy	0	(/.f64 #s(literal 1 binary64) z)
accuracy	0.203125	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
accuracy	40.7112107210572	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) z) x) y))
accuracy	0.03515625	(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) z) x) y)
accuracy	0.203125	(*.f64 (/.f64 #s(literal 1 binary64) z) x)

Samples

59.0ms

256×

valid

Compiler

Compiled 141 to 26 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-add: 12.0ms (28.4% of total)

ival-mult: 12.0ms (28.4% of total)

ival-div: 9.0ms (21.3% of total)

ival-sub: 6.0ms (14.2% of total)

ival-neg: 2.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.1%)

Memory

42.9MiB live, 42.9MiB allocated

Counts

19 → 504

Calls

Call 1

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

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

Calls

126 calls:

Time	Variable		Point	Expression
0.0ms	z	@	-inf	(/ 1 z)
0.0ms	x	@	0	(/ x (neg z))
0.0ms	x	@	0	(* y (neg x))
0.0ms	y	@	0	(+ (* (/ x (neg z)) y) y)
0.0ms	z	@	0	(+ (* (/ x (neg z)) y) y)

simplify314.0ms (2.5%)

Memory

-18.1MiB live, 368.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 306×	`lower-fma.f64`
7 306×	`lower-fma.f32`
2 368×	`lower-*.f64`
2 368×	`lower-*.f32`
1 144×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	3095
1	411	3041
2	1166	3041
3	3655	3041
4	6717	3041
0	8078	2825

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 478

Calls

Call 1

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

rewrite318.0ms (2.6%)

Memory

-5.1MiB live, 507.0MiB allocated

Rules

8 696×	`lower-fma.f32`
8 690×	`lower-fma.f64`
4 276×	`lower-/.f32`
4 268×	`lower-/.f64`
4 186×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	178
0	45	170
1	186	170
2	1373	170
0	8593	164

Stop Event

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

Counts

19 → 400

Calls

Call 1

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

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

eval173.0ms (1.4%)

Memory: -15.0MiB live, 294.3MiB allocated
Compiler: Compiled 13 152 to 1 038 computations (92.1% saved)

prune299.0ms (2.4%)

Memory

13.8MiB live, 204.3MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	950	1	951
Fresh	0	1	1
Picked	1	4	5
Done	0	2	2
Total	951	8	959

Accuracy

100.0%

Counts

959 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.1%	(/.f64 #s(approx (+ x (* y (- z x))) (fma.f64 (neg.f64 y) x x)) z)
✓	29.9%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 y z)) z)
✓	27.8%	(/.f64 #s(approx (+ x (* y (- z x))) #s(approx (- x (* y x)) (*.f64 y (neg.f64 x)))) z)
✓	70.6%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x (neg.f64 z)) y y))
▶	70.6%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) x) y y))
✓	76.8%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y))
✓	36.4%	#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
✓	36.3%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x))

Compiler

Compiled 81 to 46 computations (43.2% saved)

simplify571.0ms (4.6%)

Memory

14.7MiB live, 241.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 (neg.f64 y) x x)
cost-diff	0	#s(approx (+ x (* y (- z x))) (fma.f64 (neg.f64 y) x x))
cost-diff	0	(/.f64 #s(approx (+ x (* y (- z x))) (fma.f64 (neg.f64 y) x x)) z)
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	0	(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) x) y y)
cost-diff	0	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) x) y y))
cost-diff	192	(*.f64 (/.f64 #s(literal -1 binary64) z) x)

Rules

4 204×	`lower-fma.f32`
4 200×	`lower-fma.f64`
2 500×	`lower-*.f32`
2 498×	`lower-*.f64`
2 192×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	76
0	24	76
1	47	73
2	87	73
3	153	73
4	238	73
5	474	73
6	787	73
7	1484	73
8	2594	73
9	3352	73
10	3703	73
11	3916	73
12	3934	73
13	3937	73
14	4513	73
15	5431	73
16	5737	73
17	5810	73
18	5822	73
19	5826	73
20	5985	73
21	6175	73
22	6347	73
23	6347	73
24	7793	73
0	8184	70

Stop Event

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

Calls

Call 1

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

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

localize195.0ms (1.6%)

Memory

-19.2MiB live, 135.8MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (neg.f64 y) x x)
accuracy	0	(neg.f64 y)
accuracy	9.982532116440037	(/.f64 #s(approx (+ x (* y (- z x))) (fma.f64 (neg.f64 y) x x)) z)
accuracy	25.20787876806261	#s(approx (+ x (* y (- z x))) (fma.f64 (neg.f64 y) x x))
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0.203125	(*.f64 (/.f64 #s(literal -1 binary64) z) x)
accuracy	1.9541954188015602	(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) x) y y)
accuracy	19.033652052274775	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) x) y y))

Samples

168.0ms

256×

valid

Compiler

Compiled 59 to 17 computations (71.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

ival-div: 137.0ms (91.7% of total)

ival-mult: 6.0ms (4% of total)

ival-add: 3.0ms (2% of total)

ival-sub: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

23.6MiB live, 23.6MiB allocated

Counts

8 → 216

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(/ -1 z)
0.0ms	y	@	inf	(+ (* (neg y) x) x)
0.0ms	y	@	-inf	(+ (* (neg y) x) x)
0.0ms	x	@	-inf	(+ (* (neg y) x) x)
0.0ms	y	@	0	(+ (* (neg y) x) x)

simplify236.0ms (1.9%)

Memory

1.0MiB live, 424.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 386×	`lower-fma.f64`
10 386×	`lower-fma.f32`
3 090×	`lower-*.f64`
3 090×	`lower-*.f32`
1 422×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	1566
1	332	1401
2	936	1293
3	2816	1293
4	5549	1293
5	7744	1293
0	8122	1212

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 205

Calls

Call 1

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

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

rewrite355.0ms (2.9%)

Memory

-8.9MiB live, 569.3MiB allocated

Rules

9 174×	`lower-fma.f32`
9 170×	`lower-fma.f64`
5 842×	`lower-*.f32`
5 840×	`lower-*.f64`
3 678×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	69
0	24	69
1	109	66
2	779	66
0	8605	63

Stop Event

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

Counts

8 → 259

Calls

Call 1

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

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

eval54.0ms (0.4%)

Memory: -10.1MiB live, 183.0MiB allocated
Compiler: Compiled 7 439 to 701 computations (90.6% saved)

prune56.0ms (0.5%)

Memory

-1.9MiB live, 141.4MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	464	0	464
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	464	8	472

Accuracy

100.0%

Counts

472 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.1%	(/.f64 #s(approx (+ x (* y (- z x))) (fma.f64 (neg.f64 y) x x)) z)
✓	29.9%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 y z)) z)
✓	27.8%	(/.f64 #s(approx (+ x (* y (- z x))) #s(approx (- x (* y x)) (*.f64 y (neg.f64 x)))) z)
✓	70.6%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x (neg.f64 z)) y y))
✓	70.6%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) x) y y))
✓	76.8%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y))
✓	36.4%	#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
✓	36.3%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x))

Compiler

Compiled 202 to 85 computations (57.9% saved)

regimes44.0ms (0.4%)

Memory

-3.0MiB live, 43.1MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

4 calls:

29.0ms	x
5.0ms	z
5.0ms	y
4.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory

26.6MiB live, 26.6MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x (neg.f64 z)) y y))

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

#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x (neg.f64 z)) y y))

Calls

4 calls:

4.0ms	x
4.0ms	z
4.0ms	y
3.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Results

Accuracy	Segments	Branch
84.7%	3	`x`
99.0%	3	`y`
89.3%	3	`z`
89.5%	3	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes3.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (/.f64 (*.f64 y x) z)))

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

#s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (/.f64 (*.f64 y x) z)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
94.2%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes28.0ms (0.2%)

Memory

-29.8MiB live, 17.4MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

20.0ms	z
2.0ms	x
2.0ms	y
2.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Results

Accuracy	Segments	Branch
76.8%	1	`x`
76.8%	1	`z`
76.8%	1	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`
76.8%	1	`y`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated

Counts

3 → 3

Calls

Call 1

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

Outputs
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 y z)) z)
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 y z)) z)

Calls

4 calls:

2.0ms	z
2.0ms	y
2.0ms	x
2.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Results

Accuracy	Segments	Branch
50.3%	3	`x`
48.4%	3	`z`
42.3%	3	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`
50.6%	3	`y`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Accuracy

Total -0.1b remaining (-0.1%)

Threshold costs -0.1b (-0.1%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))

Calls

4 calls:

1.0ms	y
1.0ms	x
1.0ms	z
1.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Results

Accuracy	Segments	Branch
36.4%	1	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`
36.4%	1	`z`
36.4%	1	`x`
36.4%	1	`y`

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch43.0ms (0.3%)

Memory

-47.2MiB live, 57.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.00034672849692101213	11190501939.310562
24.0ms	-236564690455.84683	-32139268.47115261

Samples

27.0ms

288×

valid

Compiler

Compiled 447 to 265 computations (40.7% saved)

Precisions

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

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

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

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

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

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

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

bsearch3.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.00034672849692101213	11190501939.310562
2.0ms	-236564690455.84683	-32139268.47115261

Samples

1.0ms

16×

valid

Compiler

Compiled 447 to 265 computations (40.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

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

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

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

bsearch28.0ms (0.2%)

Memory

20.9MiB live, 66.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.1502759863964446e-37	4.4257155659175216e-20
11.0ms	-7.225016630023481e-23	-3.389986289640457e-28

Samples

15.0ms

304×

valid

Compiler

Compiled 357 to 222 computations (37.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sub: 2.0ms (27% of total)

ival-div: 2.0ms (27% of total)

ival-mult: 2.0ms (27% of total)

ival-add: 1.0ms (13.5% of total)

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

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

simplify12.0ms (0.1%)

Memory

-19.1MiB live, 25.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	222
1	56	222
2	71	222
3	86	222
4	93	222
5	95	222

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y))
(if (<=.f64 y #s(literal -32500000 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x (neg.f64 z)) y y)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x (neg.f64 z)) y y))))
(if (<=.f64 y #s(literal -35000000 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (/.f64 (.f64 y x) z))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x ( y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) #s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (/.f64 (*.f64 y x) z)))))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y))
(if (<=.f64 y #s(literal -2439144006089287/348449143727040986586495598010130648530944 binary64)) (/.f64 #s(approx (+ x (* y (- z x))) (.f64 y z)) z) (if (<=.f64 y #s(literal 1595073594941899/1329227995784915872903807060280344576 binary64)) #s(approx (/ (+ x ( y (- z x))) z) (/.f64 x z)) (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 y z)) z)))
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))

Outputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y))
(if (<=.f64 y #s(literal -32500000 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x (neg.f64 z)) y y)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x (neg.f64 z)) y y))))
(if (<=.f64 y #s(literal -35000000 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (/.f64 (.f64 y x) z))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x ( y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) #s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (/.f64 (*.f64 y x) z)))))
(if (<=.f64 y #s(literal -35000000 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (/.f64 (.f64 x y) z))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x ( y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) #s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (/.f64 (*.f64 x y) z)))))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y))
(if (<=.f64 y #s(literal -2439144006089287/348449143727040986586495598010130648530944 binary64)) (/.f64 #s(approx (+ x (* y (- z x))) (.f64 y z)) z) (if (<=.f64 y #s(literal 1595073594941899/1329227995784915872903807060280344576 binary64)) #s(approx (/ (+ x ( y (- z x))) z) (/.f64 x z)) (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 y z)) z)))
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))

soundness892.0ms (7.2%)

Memory

43.5MiB live, 646.9MiB allocated

Rules

8 778×	`lower-fma.f64`
8 778×	`lower-fma.f32`
7 428×	`lower-fma.f64`
7 428×	`lower-fma.f32`
5 832×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	3033
1	413	2925
2	1171	2925
3	3845	2925
4	7830	2925
0	8665	2709
0	106	910
1	346	796
2	1046	742
3	3270	742
4	5774	742
5	7679	742
0	8077	688
0	23	137
0	34	137
1	145	137
2	1128	137
0	8435	130

Stop Event

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

Compiler

Compiled 205 to 92 computations (55.1% saved)

preprocess121.0ms (1%)

Memory: -7.1MiB live, 329.8MiB allocated
Compiler: Compiled 276 to 92 computations (66.7% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze96.0ms (0.8%)

sample3.7s (30.3%)

explain75.0ms (0.6%)

preprocess574.0ms (4.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify389.0ms (3.2%)

localize81.0ms (0.7%)

series10.0ms (0.1%)

simplify250.0ms (2%)

rewrite376.0ms (3.1%)

eval105.0ms (0.9%)

prune74.0ms (0.6%)

simplify455.0ms (3.7%)

localize90.0ms (0.7%)

series37.0ms (0.3%)

simplify582.0ms (4.7%)

rewrite483.0ms (3.9%)

eval266.0ms (2.2%)

prune400.0ms (3.2%)

simplify340.0ms (2.8%)

localize111.0ms (0.9%)

series18.0ms (0.1%)

simplify314.0ms (2.5%)

rewrite318.0ms (2.6%)

eval173.0ms (1.4%)

prune299.0ms (2.4%)

simplify571.0ms (4.6%)

localize195.0ms (1.6%)

series7.0ms (0.1%)

simplify236.0ms (1.9%)

rewrite355.0ms (2.9%)

eval54.0ms (0.4%)

prune56.0ms (0.5%)

regimes44.0ms (0.4%)

regimes15.0ms (0.1%)

regimes3.0ms (0%)

regimes28.0ms (0.2%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch43.0ms (0.3%)

bsearch3.0ms (0%)

bsearch28.0ms (0.2%)

simplify12.0ms (0.1%)

soundness892.0ms (7.2%)

preprocess121.0ms (1%)

end0.0ms (0%)

Profiling