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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze42.0ms (0.5%)

Memory

-5.0MiB live, 85.9MiB 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)

sample706.0ms (8.9%)

Memory

24.7MiB live, 989.2MiB allocated

Samples

439.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 234.0ms

ival-sub: 64.0ms (27.3% of total)

ival-div: 63.0ms (26.9% of total)

ival-mult: 52.0ms (22.2% of total)

ival-add: 47.0ms (20% of total)

ival-true: 6.0ms (2.6% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain80.0ms (1%)

Memory

27.1MiB live, 111.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
37	-	-	`(/.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	37	0
↳	`(+.f64 x (*.f64 y (-.f64 z x)))`	overflow	54
↳	`(*.f64 y (-.f64 z x))`	overflow	54

Confusion

	Predicted +	Predicted -
+	37	0
-	0	219

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	37	0	0
-	0	0	219

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	219
1	37

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 67 to 25 computations (62.7% saved)

Precisions

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

ival-sub: 3.0ms (24% of total)

ival-div: 3.0ms (24% of total)

ival-mult: 3.0ms (24% of total)

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

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

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

preprocess526.0ms (6.6%)

Memory

-41.4MiB live, 201.0MiB 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)
(/.f64 (fma.f64 (-.f64 z x) y x) z)

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.3%	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify281.0ms (3.5%)

Memory

19.0MiB live, 175.6MiB 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)
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 (-.f64 z x) y x)
x
(*.f64 y (-.f64 z x))
(*.f64 (-.f64 z x) y)
y
(-.f64 z x)
z

localize19.0ms (0.2%)

Memory

4.6MiB live, 43.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z x)
accuracy	0.01171875	(+.f64 x (*.f64 y (-.f64 z x)))
accuracy	0.01171875	(*.f64 y (-.f64 z x))
accuracy	8.7867076391425	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Samples

14.0ms

256×

valid

Compiler

Compiled 29 to 9 computations (69% saved)

Precisions

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

ival-div: 2.0ms (29.8% of total)

ival-add: 2.0ms (29.8% of total)

ival-mult: 2.0ms (29.8% of total)

ival-sub: 1.0ms (14.9% of total)

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

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

series22.0ms (0.3%)

Memory

0.4MiB live, 43.5MiB 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 (+ 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 (/ (+ 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 (* -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 (* -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 (* 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 (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) (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 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 (* 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 -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) (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 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 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 (/ 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)) (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 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)) 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)) (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 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 (/ (* 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 (* 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) (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 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 (* 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 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 (* 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 (/ (* 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)) (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) (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 (- 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 (* -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 (* -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 -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

9 calls:

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

simplify116.0ms (1.5%)

Memory

11.1MiB live, 126.6MiB 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	1006
1	346	742
2	1046	742
3	3278	742
4	5788	742
5	7697	742
0	8095	688

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 125

Calls

Call 1

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

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

rewrite194.0ms (2.4%)

Memory

-0.0MiB live, 233.2MiB 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
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eval62.0ms (0.8%)

Memory: -9.2MiB live, 110.4MiB allocated
Compiler: Compiled 10 620 to 1 334 computations (87.4% saved)

prune14.0ms (0.2%)

Memory

2.6MiB live, 41.7MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	489	9	498
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	490	9	499

Accuracy

100.0%

Counts

499 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.7%	(/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z)
	47.2%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z)
	30.0%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
▶	86.0%	(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (-.f64 z x) y x)))
	52.8%	(.f64 (fma.f64 (-.f64 z x) y x) (/.f64 (-.f64 x (.f64 (-.f64 z x) y)) (.f64 (-.f64 x (.f64 (-.f64 z x) y)) z)))
	86.1%	(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x)))
▶	96.5%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))
▶	45.1%	#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
▶	57.7%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))

Compiler

Compiled 176 to 136 computations (22.7% saved)

simplify316.0ms (4%)

Memory

24.1MiB live, 176.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

25 368×	`lower-fma.f32`
25 364×	`lower-fma.f64`
2 704×	`lower-*.f32`
2 700×	`lower-*.f64`
2 520×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	162
0	37	157
1	56	157
2	83	157
3	164	157
4	368	157
5	745	157
6	1450	157
7	3543	157
8	5441	157
9	6536	157
10	6865	157
11	6943	157
12	7037	157
13	7059	157
14	7091	157
15	7191	157
16	7231	157
17	7231	157
0	8207	157

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

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

localize80.0ms (1%)

Memory

-6.3MiB live, 69.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z x)
accuracy	0.01171875	(fma.f64 (-.f64 z x) y x)
accuracy	0.1953125	(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (-.f64 z x) y x)))
accuracy	8.824449237043252	(/.f64 z (fma.f64 (-.f64 z x) y x))
accuracy	0	(*.f64 z y)
accuracy	0.01171875	(+.f64 x #s(approx (* y (- z x)) (*.f64 z y)))
accuracy	8.7867076391425	(/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z)
accuracy	28.051335768362783	#s(approx (* y (- z x)) (*.f64 z y))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.0078125	(/.f64 (-.f64 #s(literal 1 binary64) y) z)
accuracy	2.326614753113977	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
accuracy	26.128989648601145	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
accuracy	0	(/.f64 x z)
accuracy	35.1579416397522	#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))
accuracy	0.0078125	(/.f64 (-.f64 #s(literal 1 binary64) y) z)
accuracy	2.2692767193598846	(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)

Samples

67.0ms

256×

valid

Compiler

Compiled 135 to 20 computations (85.2% saved)

Precisions

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

ival-div: 38.0ms (76.2% of total)

ival-mult: 6.0ms (12% of total)

ival-sub: 3.0ms (6% of total)

ival-add: 3.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.5%)

Memory

9.3MiB live, 56.1MiB allocated

Counts

16 → 504

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ x z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* y (- z x)) (* z y) (/ 1 (/ z (+ (* (- z x) y) x))) (/ z (+ (* (- z x) y) x)) (+ (* (- z x) y) x) (- z x))
4.0ms	x	@	0	((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ x z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* y (- z x)) (* z y) (/ 1 (/ z (+ (* (- z x) y) x))) (/ z (+ (* (- z x) y) x)) (+ (* (- z x) y) x) (- z x))
3.0ms	z	@	0	((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ x z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* y (- z x)) (* z y) (/ 1 (/ z (+ (* (- z x) y) x))) (/ z (+ (* (- z x) y) x)) (+ (* (- z x) y) x) (- z x))
3.0ms	z	@	-inf	((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ x z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* y (- z x)) (* z y) (/ 1 (/ z (+ (* (- z x) y) x))) (/ z (+ (* (- z x) y) x)) (+ (* (- z x) y) x) (- z x))
2.0ms	y	@	inf	((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ x z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* y (- z x)) (* z y) (/ 1 (/ z (+ (* (- z x) y) x))) (/ z (+ (* (- z x) y) x)) (+ (* (- z x) y) x) (- z x))

simplify492.0ms (6.2%)

Memory

-44.5MiB live, 188.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 502×	`lower-fma.f64`
6 502×	`lower-fma.f32`
5 788×	`lower-*.f64`
5 788×	`lower-*.f32`
2 694×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	386	4994
1	1258	4443
2	4455	4416
0	8278	4227

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 481

Calls

Call 1

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

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

rewrite312.0ms (3.9%)

Memory

-1.6MiB live, 228.5MiB allocated

Rules

6 836×	`lower-fma.f32`
6 832×	`lower-fma.f64`
4 648×	`lower-*.f32`
4 644×	`lower-*.f64`
3 810×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	137
0	37	132
1	163	132
2	1126	132
0	8442	132

Stop Event

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

Counts

16 → 790

Calls

Call 1

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

Outputs
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eval292.0ms (3.7%)

Memory: 35.2MiB live, 337.3MiB allocated
Compiler: Compiled 25 375 to 3 049 computations (88% saved)

prune79.0ms (1%)

Memory

-23.6MiB live, 146.2MiB allocated

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	1 436	7	1 443
Fresh	3	1	4
Picked	2	3	5
Done	0	0	0
Total	1 441	11	1 452

Accuracy

100.0%

Counts

1 452 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.7%	(/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z)
	30.0%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
	57.6%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y))
▶	85.5%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
▶	100.0%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
✓	45.1%	#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
▶	63.5%	#s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (*.f64 (/.f64 x z) y)))
✓	57.7%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
	19.6%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
▶	44.9%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
▶	57.7%	#s(approx (/ (+ x (* y (- z x))) z) (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) x))

Compiler

Compiled 150 to 146 computations (2.7% saved)

simplify299.0ms (3.8%)

Memory

-7.6MiB live, 117.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

5 164×	`lower-fma.f32`
5 160×	`lower-fma.f64`
2 576×	`lower-*.f32`
2 568×	`lower-*.f64`
2 184×	`lower-/.f32`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	28	206
0	41	206
1	73	204
2	144	200
3	269	200
4	537	200
5	1161	200
6	2028	200
7	2618	195
8	3257	195
9	3539	195
10	3844	195
11	4046	195
12	4214	195
13	4260	195
14	4501	195
15	5593	195
16	6057	195
17	6242	195
18	6336	195
19	6356	195
20	6364	195
21	6588	195
22	6800	195
23	6860	195
24	6884	195
25	7344	195
0	8338	195

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

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

localize119.0ms (1.5%)

Memory

25.5MiB live, 139.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y #s(literal 1 binary64))
accuracy	0.09375	(*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z))
accuracy	2.326614753113977	(.f64 (.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) x)
accuracy	26.128989648601145	#s(approx (/ (+ x (* y (- z x))) z) (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) x))
accuracy	0	(/.f64 x z)
accuracy	0.00390625	(-.f64 y (*.f64 (/.f64 x z) y))
accuracy	6.392980601524788	(*.f64 (/.f64 x z) y)
accuracy	24.986243954229323	#s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (*.f64 (/.f64 x z) y)))
accuracy	0	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
accuracy	0.0078125	(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)
accuracy	2.2692767193598846	(fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)
accuracy	30.342653917556735	#s(approx (- 1 y) #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)
accuracy	2.326614753113977	(*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)
accuracy	26.128989648601145	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
accuracy	30.342653917556735	#s(approx (- 1 y) #s(literal 1 binary64))
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 x z) (-.f64 #s(literal 1 binary64) y) y))
accuracy	0.01953125	(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)

Samples

69.0ms

256×

valid

Compiler

Compiled 150 to 24 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-sub: 32.0ms (59.8% of total)

ival-div: 9.0ms (16.8% of total)

ival-mult: 8.0ms (14.9% of total)

ival-add: 3.0ms (5.6% of total)

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

exact: 0.0ms (0% of total)

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

series44.0ms (0.6%)

Memory

-23.9MiB live, 96.3MiB allocated

Counts

17 → 504

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	z	@	0	((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (+ x (* y (- z x))) z) (- y (* (/ x z) y)) (* (/ x z) y) (* (- y 1) (/ -1 z)) (/ (+ x (* y (- z x))) z) (* (* (- y 1) (/ -1 z)) x) (- y 1))
4.0ms	x	@	-inf	((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (+ x (* y (- z x))) z) (- y (* (/ x z) y)) (* (/ x z) y) (* (- y 1) (/ -1 z)) (/ (+ x (* y (- z x))) z) (* (* (- y 1) (/ -1 z)) x) (- y 1))
2.0ms	z	@	inf	((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (+ x (* y (- z x))) z) (- y (* (/ x z) y)) (* (/ x z) y) (* (- y 1) (/ -1 z)) (/ (+ x (* y (- z x))) z) (* (* (- y 1) (/ -1 z)) x) (- y 1))
2.0ms	z	@	-inf	((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (+ x (* y (- z x))) z) (- y (* (/ x z) y)) (* (/ x z) y) (* (- y 1) (/ -1 z)) (/ (+ x (* y (- z x))) z) (* (* (- y 1) (/ -1 z)) x) (- y 1))
2.0ms	x	@	0	((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (+ x (* y (- z x))) z) (- y (* (/ x z) y)) (* (/ x z) y) (* (- y 1) (/ -1 z)) (/ (+ x (* y (- z x))) z) (* (* (- y 1) (/ -1 z)) x) (- y 1))

simplify164.0ms (2.1%)

Memory

32.2MiB live, 107.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 204×	`lower-fma.f64`
7 204×	`lower-fma.f32`
2 892×	`lower-*.f64`
2 892×	`lower-*.f32`
1 782×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	3842
1	338	3289
2	911	3289
3	2516	3289
4	5783	3289
0	8185	3100

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 478

Calls

Call 1

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

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

rewrite244.0ms (3.1%)

Memory

-31.4MiB live, 288.7MiB allocated

Rules

5 394×	`lower-fma.f32`
5 390×	`lower-fma.f64`
4 352×	`lower-/.f32`
4 346×	`lower-/.f64`
3 778×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	169
0	41	169
1	167	166
2	1296	163
0	8412	158

Stop Event

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

Counts

17 → 591

Calls

Call 1

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

Outputs
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eval203.0ms (2.6%)

Memory: 21.2MiB live, 366.8MiB allocated
Compiler: Compiled 16 559 to 2 228 computations (86.5% saved)

prune73.0ms (0.9%)

Memory

0.7MiB live, 92.4MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	1 170	2	1 172
Fresh	0	3	3
Picked	1	4	5
Done	0	3	3
Total	1 171	12	1 183

Accuracy

100.0%

Counts

1 183 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.7%	(/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z)
▶	30.0%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
▶	57.6%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y))
✓	85.5%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
✓	100.0%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
▶	85.7%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
▶	59.0%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) z) y))
✓	45.1%	#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
✓	63.5%	#s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (*.f64 (/.f64 x z) y)))
✓	57.7%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
▶	19.6%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
✓	44.9%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))

Compiler

Compiled 132 to 127 computations (3.8% saved)

simplify291.0ms (3.7%)

Memory

6.5MiB live, 159.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

7 264×	`lower-fma.f32`
7 258×	`lower-fma.f64`
2 608×	`lower-*.f32`
2 602×	`lower-*.f64`
1 768×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	207
0	41	207
1	66	207
2	98	207
3	132	207
4	188	205
5	286	205
6	482	205
7	1073	205
8	2297	205
9	3379	205
10	4181	205
11	4571	205
12	4780	205
13	4793	205
14	4795	205
15	5194	205
16	5708	205
17	5886	205
18	6046	205
19	6064	205
20	6064	205
21	6268	205
22	6494	205
23	6560	205
24	6944	205
0	8036	199

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

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

localize102.0ms (1.3%)

Memory

13.6MiB live, 169.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(*.f64 y x)
accuracy	2.8014459813560704	(fma.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) z) y)
accuracy	24.986243954229323	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) z) y))
accuracy	0	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y))
accuracy	0.0078125	(/.f64 #s(approx (- 1 y) (neg.f64 y)) z)
accuracy	2.2692767193598846	(fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)
accuracy	32.275007579961354	#s(approx (- 1 y) (neg.f64 y))
accuracy	0.0078125	(/.f64 #s(approx (- 1 y) (neg.f64 y)) z)
accuracy	2.326614753113977	(*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)
accuracy	26.128989648601145	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
accuracy	32.275007579961354	#s(approx (- 1 y) (neg.f64 y))
accuracy	0	(*.f64 z y)
accuracy	8.7867076391425	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
accuracy	36.38461602717027	#s(approx (+ x (* y (- z x))) (*.f64 z y))
accuracy	0	(/.f64 x z)
accuracy	0	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
accuracy	0.01953125	(fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)
accuracy	30.342653917556735	#s(approx (- 1 y) #s(literal 1 binary64))

Samples

86.0ms

256×

valid

Compiler

Compiled 139 to 24 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 38.0ms (54.5% of total)

ival-neg: 18.0ms (25.8% of total)

ival-div: 7.0ms (10% of total)

ival-add: 4.0ms (5.7% of total)

ival-sub: 3.0ms (4.3% of total)

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

exact: 0.0ms (0% of total)

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

series116.0ms (1.5%)

Memory

-16.5MiB live, 60.0MiB allocated

Counts

17 → 492

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* z y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (+ (* (* y x) (/ -1 z)) y) (/ (+ x (* y (- z x))) z) (* y x) (/ -1 z))
2.0ms	y	@	-inf	((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* z y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (+ (* (* y x) (/ -1 z)) y) (/ (+ x (* y (- z x))) z) (* y x) (/ -1 z))
2.0ms	z	@	-inf	((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* z y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (+ (* (* y x) (/ -1 z)) y) (/ (+ x (* y (- z x))) z) (* y x) (/ -1 z))
1.0ms	z	@	inf	((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* z y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (+ (* (* y x) (/ -1 z)) y) (/ (+ x (* y (- z x))) z) (* y x) (/ -1 z))
1.0ms	y	@	inf	((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* z y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (+ (* (* y x) (/ -1 z)) y) (/ (+ x (* y (- z x))) z) (* y x) (/ -1 z))

simplify164.0ms (2.1%)

Memory

20.6MiB live, 173.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 680×	`lower-fma.f64`
8 680×	`lower-fma.f32`
3 048×	`lower-*.f64`
3 048×	`lower-*.f32`
1 198×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	3958
1	422	3121
2	1239	3121
3	3475	3121
4	6010	3121
0	8110	2905

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 467

Calls

Call 1

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

rewrite419.0ms (5.3%)

Memory

-37.6MiB live, 150.9MiB allocated

Rules

8 954×	`lower-fma.f32`
8 948×	`lower-fma.f64`
5 322×	`lower-*.f32`
5 316×	`lower-*.f64`
3 552×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	173
0	41	173
1	157	173
2	1084	173
0	8796	165

Stop Event

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

Counts

17 → 300

Calls

Call 1

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

Outputs
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eval418.0ms (5.3%)

Memory: 1.7MiB live, 151.7MiB allocated
Compiler: Compiled 10 228 to 1 048 computations (89.8% saved)

prune177.0ms (2.2%)

Memory

-4.5MiB live, 83.0MiB allocated

Pruning

13 alts after pruning (1 fresh and 12 done)

	Pruned	Kept	Total
New	830	1	831
Fresh	0	0	0
Picked	0	5	5
Done	0	7	7
Total	830	13	843

Accuracy

100.0%

Counts

843 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.7%	(/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z)
✓	30.0%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
✓	57.6%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y))
✓	85.5%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
✓	100.0%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
✓	85.7%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
✓	59.0%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) z) y))
✓	45.1%	#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
✓	63.5%	#s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (*.f64 (/.f64 x z) y)))
✓	57.7%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
✓	19.6%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
✓	44.9%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
	23.5%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))))

Compiler

Compiled 281 to 162 computations (42.3% saved)

regimes29.0ms (0.4%)

Memory

-0.2MiB live, 72.5MiB allocated

Counts

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

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

Calls

4 calls:

8.0ms	z
8.0ms	x
6.0ms	y
6.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`

Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes21.0ms (0.3%)

Memory

9.2MiB live, 57.1MiB allocated

Counts

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

Outputs

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

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

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

Calls

4 calls:

8.0ms	y
4.0ms	z
4.0ms	x
4.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Results

Accuracy	Segments	Branch
91.8%	3	`x`
99.6%	3	`y`
85.7%	1	`z`
90.1%	3	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`

Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes8.0ms (0.1%)

Memory

-17.7MiB live, 20.2MiB allocated

Counts

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

Outputs

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

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

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

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
91.8%	3	`x`
85.7%	1	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes9.0ms (0.1%)

Memory

27.6MiB live, 27.6MiB allocated

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
85.7%	1	`y`
85.7%	1	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`
85.7%	1	`x`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes9.0ms (0.1%)

Memory

-11.7MiB live, 25.7MiB 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(approx (- 1 y) #s(literal 1 binary64)) z) x))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)

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

Calls

4 calls:

3.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
2.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
54.9%	3	`x`
57.5%	4	`z`
53.7%	5	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`
60.0%	3	`y`

Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes6.0ms (0.1%)

Memory

24.0MiB live, 24.0MiB allocated

Accuracy

Total -0.1b remaining (-0.2%)

Threshold costs -0.1b (-0.2%)

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(approx (- 1 y) #s(literal 1 binary64)) z) x))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
45.1%	1	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`
45.1%	1	`x`
45.1%	1	`z`
45.1%	1	`y`

Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch32.0ms (0.4%)

Memory

-42.2MiB live, 48.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.0038576942365289e-7	4.602189705376936e-7
22.0ms	-1.3599404566454318e+23	-137100625.48937768

Samples

13.0ms

256×

valid

Compiler

Compiled 268 to 285 computations (-6.3% saved)

Precisions

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

ival-div: 2.0ms (33.8% of total)

ival-mult: 2.0ms (33.8% of total)

ival-sub: 1.0ms (16.9% of total)

ival-add: 1.0ms (16.9% of total)

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

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

bsearch21.0ms (0.3%)

Memory

16.6MiB live, 16.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	17081901436.446075	270662702799226340.0
7.0ms	-1.4315319709030746e+151	-5.282197650939631e+150

Samples

10.0ms

224×

valid

Compiler

Compiled 236 to 265 computations (-12.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sub: 1.0ms (19.4% of total)

ival-div: 1.0ms (19.4% of total)

ival-add: 1.0ms (19.4% of total)

ival-mult: 1.0ms (19.4% of total)

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

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

bsearch27.0ms (0.3%)

Memory

9.3MiB live, 48.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	1.0038576942365289e-7	4.602189705376936e-7
20.0ms	-3.7733852987277115e-59	-6.79245434133157e-76

Samples

17.0ms

224×

valid

Compiler

Compiled 172 to 221 computations (-28.5% saved)

Precisions

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

ival-mult: 8.0ms (66.3% of total)

ival-sub: 1.0ms (8.3% of total)

ival-div: 1.0ms (8.3% of total)

ival-add: 1.0ms (8.3% of total)

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

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

simplify33.0ms (0.4%)

Memory

-26.4MiB live, 91.3MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`-commutative-binary64-.f64`
14×	`+-commutative-binary64-+.f64`
14×	`sub-neg-binary64-neg.f64-+.f64--.f64`
10×	`neg-sub0-binary64--.f64-neg.f64`
10×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	222
1	57	222
2	74	222
3	84	222
4	91	222
5	93	222

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
(if (<=.f64 y #s(literal -140000000 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (.f64 (/.f64 x z) y))) (if (<=.f64 y #s(literal 8689154328480147/18889465931478580854784 binary64)) #s(approx (/ (+ x ( y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) #s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (*.f64 (/.f64 x z) y)))))
(if (<=.f64 x #s(literal -6500000000000000329705577805597241432052660021199906126118421695575438405255285277245493816879139566626970087832372510840261714069215834122642945736704 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (if (<=.f64 x #s(literal 7200000000000 binary64)) #s(approx (/ (+ x ( y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
(if (<=.f64 y #s(literal -5427754182999197/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) (/.f64 #s(approx (+ x (* y (- z x))) (.f64 z y)) z) (if (<=.f64 y #s(literal 2833419889721787/9444732965739290427392 binary64)) #s(approx (/ (+ x ( y (- z x))) z) (/.f64 x z)) (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)))
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))

Outputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
(if (<=.f64 y #s(literal -140000000 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (.f64 (/.f64 x z) y))) (if (<=.f64 y #s(literal 8689154328480147/18889465931478580854784 binary64)) #s(approx (/ (+ x ( y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) #s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (*.f64 (/.f64 x z) y)))))
(if (<=.f64 x #s(literal -6500000000000000329705577805597241432052660021199906126118421695575438405255285277245493816879139566626970087832372510840261714069215834122642945736704 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (if (<=.f64 x #s(literal 7200000000000 binary64)) #s(approx (/ (+ x ( y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
(if (<=.f64 y #s(literal -5427754182999197/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) (/.f64 #s(approx (+ x (* y (- z x))) (.f64 z y)) z) (if (<=.f64 y #s(literal 2833419889721787/9444732965739290427392 binary64)) #s(approx (/ (+ x ( y (- z x))) z) (/.f64 x z)) (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)))
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))

soundness1.1s (13.7%)

Memory

21.0MiB live, 503.5MiB allocated

Rules

7 428×	`lower-fma.f64`
7 428×	`lower-fma.f32`
7 204×	`lower-fma.f64`
7 204×	`lower-fma.f32`
6 836×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	1006
1	346	742
2	1046	742
3	3278	742
4	5788	742
5	7697	742
0	8095	688
0	24	137
0	37	132
1	163	132
2	1126	132
0	8442	132
0	386	4994
1	1258	4443
2	4455	4416
0	8278	4227
0	113	3842
1	338	3289
2	911	3289
3	2516	3289
4	5783	3289
0	8185	3100

Stop Event

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

Compiler

Compiled 191 to 118 computations (38.2% saved)

preprocess156.0ms (2%)

Memory: 7.1MiB live, 165.3MiB allocated
Compiler: Compiled 258 to 108 computations (58.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze42.0ms (0.5%)

sample706.0ms (8.9%)

explain80.0ms (1%)

preprocess526.0ms (6.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify281.0ms (3.5%)

localize19.0ms (0.2%)

series22.0ms (0.3%)

simplify116.0ms (1.5%)

rewrite194.0ms (2.4%)

eval62.0ms (0.8%)

prune14.0ms (0.2%)

simplify316.0ms (4%)

localize80.0ms (1%)

series39.0ms (0.5%)

simplify492.0ms (6.2%)

rewrite312.0ms (3.9%)

eval292.0ms (3.7%)

prune79.0ms (1%)

simplify299.0ms (3.8%)

localize119.0ms (1.5%)

series44.0ms (0.6%)

simplify164.0ms (2.1%)

rewrite244.0ms (3.1%)

eval203.0ms (2.6%)

prune73.0ms (0.9%)

simplify291.0ms (3.7%)

localize102.0ms (1.3%)

series116.0ms (1.5%)

simplify164.0ms (2.1%)

rewrite419.0ms (5.3%)

eval418.0ms (5.3%)

prune177.0ms (2.2%)

regimes29.0ms (0.4%)

regimes21.0ms (0.3%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch32.0ms (0.4%)

bsearch21.0ms (0.3%)

bsearch27.0ms (0.3%)

simplify33.0ms (0.4%)

soundness1.1s (13.7%)

preprocess156.0ms (2%)

end0.0ms (0%)

Profiling