Metrics for Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze71.0ms (1.3%)

Memory

13.4MiB live, 131.0MiB 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
25%	25%	74.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
25%	25%	74.9%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	8
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	9
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	10
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	11
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample650.0ms (12.3%)

Memory

24.4MiB live, 1 358.6MiB allocated

Samples

400.0ms	8 255×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 221.0ms

ival-div: 123.0ms (55.6% of total)

ival-add: 46.0ms (20.8% of total)

ival-sub: 38.0ms (17.2% of total)

ival-true: 6.0ms (2.7% of total)

exact: 5.0ms (2.3% of total)

ival-assert: 3.0ms (1.4% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain139.0ms (2.6%)

Memory

10.4MiB live, 211.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
43	-	-	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`
0	-	-	`(-.f64 #s(literal 1 binary64) (/.f64 y z))`
0	-	-	`y`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(+.f64 x y)`
0	-	-	`z`
0	-	-	`x`
0	-	-	`(/.f64 y z)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`	n/o	43	0
↳	`(/.f64 y z)`	overflow	43
↳	`(-.f64 #s(literal 1 binary64) (/.f64 y z))`	overflow	43

Confusion

	Predicted +	Predicted -
+	43	0
-	0	213

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	43	0	0
-	0	0	213

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	213
1	43

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

92.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 7.0ms (55.1% of total)

ival-add: 3.0ms (23.6% of total)

ival-sub: 2.0ms (15.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess181.0ms (3.4%)

Memory

-8.2MiB live, 111.4MiB allocated

Algorithm

1×	egg-herbie

Rules

702×	`times-frac`
506×	`div-sub`
396×	`unsub-neg`
382×	`distribute-rgt-in`
368×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	90
1	83	82
2	160	81
3	361	81
4	1104	81
5	2058	81
6	2769	81
7	3345	81
8	3484	81
9	3542	81
10	3578	81
11	3606	81
12	3606	81
0	8	9
0	12	9
1	17	9
2	25	9
3	34	9
4	50	9
5	66	9
6	87	9
7	115	9
8	153	9
9	212	9
10	343	9
11	451	9
12	632	9
13	780	9
14	853	9
15	894	9
16	896	9
17	900	9
0	900	9

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.0%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify30.0ms (0.6%)

Memory

-7.4MiB live, 30.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

368×	`lower-fma.f64`
368×	`lower-fma.f32`
240×	`lower-*.f64`
240×	`lower-*.f32`
192×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	17	24
2	25	24
3	34	24
4	50	24
5	66	24
6	87	24
7	115	24
8	153	24
9	212	24
10	343	24
11	451	24
12	632	24
13	780	24
14	853	24
15	894	24
16	896	24
17	900	24
0	900	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize87.0ms (1.6%)

Memory

3.7MiB live, 42.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y z)
accuracy	0	(+.f64 x y)
accuracy	0.0078125	(-.f64 #s(literal 1 binary64) (/.f64 y z))
accuracy	10.23990107914193	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

Samples

15.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-div: 5.0ms (66.7% of total)

ival-sub: 1.0ms (13.3% of total)

ival-add: 1.0ms (13.3% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

19.1MiB live, 19.1MiB allocated

Counts

4 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

simplify217.0ms (4.1%)

Memory

-12.5MiB live, 264.4MiB allocated

Algorithm

1×	egg-herbie

Rules

17 244×	`lower-fma.f64`
17 244×	`lower-fma.f32`
4 624×	`lower-*.f64`
4 624×	`lower-*.f32`
2 932×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	958
1	589	915
2	1842	852
3	7158	833
0	8263	790

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 101

Calls

Call 1

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

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

rewrite143.0ms (2.7%)

Memory

8.6MiB live, 247.0MiB allocated

Rules

3 550×	`lower-*.f64`
3 550×	`lower-*.f32`
3 202×	`lower-/.f32`
3 198×	`lower-/.f64`
2 858×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	12	20
1	56	20
2	432	20
3	7705	20
0	8025	20

Stop Event

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

Counts

4 → 336

Calls

Call 1

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

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

eval50.0ms (0.9%)

Memory: -0.4MiB live, 112.1MiB allocated
Compiler: Compiled 10 488 to 995 computations (90.5% saved)

prune160.0ms (3%)

Memory

-9.5MiB live, 170.9MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	428	9	437
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	428	10	438

Accuracy

100.0%

Counts

438 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.0%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
▶	34.6%	(/.f64 (+.f64 x y) #s(approx (- 1 (/ y z)) (/.f64 y (neg.f64 z))))
	46.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)))
	46.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (/.f64 (.f64 z (+.f64 (+.f64 (/.f64 (.f64 z (+.f64 x z)) y) x) z)) (neg.f64 y)) z))
▶	49.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x)))
▶	51.3%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y))
	49.3%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z))
▶	44.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z))
	48.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 (/.f64 x y) z z)))
▶	33.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))

Compiler

Compiled 224 to 126 computations (43.8% saved)

simplify87.0ms (1.6%)

Memory

-9.6MiB live, 34.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

1 424×	`lower-fma.f32`
1 422×	`lower-fma.f64`
800×	`lower-*.f32`
798×	`lower-*.f64`
634×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	142
0	34	142
1	55	142
2	80	142
3	100	142
4	126	142
5	178	142
6	306	142
7	644	142
8	1302	142
9	1928	142
10	2408	142
11	2668	142
12	2710	142
13	2740	142
14	2768	142
0	2768	142

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize64.0ms (1.2%)

Memory

-11.7MiB live, 103.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x y)
accuracy	0	(neg.f64 z)
accuracy	10.23990107914193	(/.f64 (+.f64 x y) #s(approx (- 1 (/ y z)) (/.f64 y (neg.f64 z))))
accuracy	31.618347093068145	#s(approx (- 1 (/ y z)) (/.f64 y (neg.f64 z)))
accuracy	0	(/.f64 x z)
accuracy	0	(+.f64 y (fma.f64 (/.f64 x z) y x))
accuracy	2.545974865097367	(fma.f64 (/.f64 x z) y x)
accuracy	31.219248168294214	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x)))
accuracy	0	(-.f64 z y)
accuracy	0.0078125	(/.f64 x (-.f64 z y))
accuracy	11.446704079957195	(*.f64 (/.f64 x (-.f64 z y)) z)
accuracy	32.1925747876135	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z))
accuracy	0	(neg.f64 z)
accuracy	42.30594234742104	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
accuracy	0	(+.f64 x y)
accuracy	31.1377336591355	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y))

Samples

35.0ms

256×

valid

Compiler

Compiled 112 to 19 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 8.0ms (42.5% of total)

ival-add: 4.0ms (21.2% of total)

ival-mult: 3.0ms (15.9% of total)

ival-sub: 2.0ms (10.6% of total)

ival-neg: 1.0ms (5.3% of total)

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

exact: 0.0ms (0% of total)

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

series56.0ms (1.1%)

Memory

4.9MiB live, 47.0MiB allocated

Counts

15 → 456

Calls

Call 1

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

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

Calls

114 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	(* (/ x (- z y)) z)
1.0ms	x	@	0	(* (/ x (- z y)) z)
1.0ms	x	@	inf	(* (/ x (- z y)) z)
0.0ms	y	@	0	(* (/ x (- z y)) z)
0.0ms	x	@	0	(/ x (- z y))

simplify226.0ms (4.3%)

Memory

14.0MiB live, 374.0MiB allocated

Algorithm

1×	egg-herbie

Rules

17 066×	`lower-fma.f64`
17 066×	`lower-fma.f32`
4 854×	`lower-*.f64`
4 854×	`lower-*.f32`
4 154×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	396	5480
1	1281	5166
2	3781	4647
0	8283	4437

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 434

Calls

Call 1

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

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

rewrite146.0ms (2.8%)

Memory

17.8MiB live, 242.7MiB allocated

Rules

4 518×	`lower-/.f32`
4 510×	`lower-/.f64`
3 792×	`lower-fma.f32`
3 790×	`lower-fma.f64`
3 588×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	125
0	34	125
1	144	125
2	1079	125
0	8404	125

Stop Event

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

Counts

15 → 499

Calls

Call 1

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

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

eval133.0ms (2.5%)

Memory: 14.2MiB live, 269.6MiB allocated
Compiler: Compiled 18 332 to 1 639 computations (91.1% saved)

prune150.0ms (2.8%)

Memory

-34.9MiB live, 260.0MiB allocated

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	1 017	7	1 024
Fresh	2	2	4
Picked	1	4	5
Done	1	0	1
Total	1 021	13	1 034

Accuracy

100.0%

Counts

1 034 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) (-.f64 z y)))
	44.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 z (/.f64 (-.f64 z y) x)))
✓	49.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x)))
✓	51.3%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y))
▶	49.3%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z))
✓	44.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z))
	17.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z))
▶	29.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ x (- z y)) (/.f64 x z)) z))
	46.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 x (/.f64 z (-.f64 z y))))
▶	48.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 (/.f64 x y) z z)))
✓	33.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
	30.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y (+ (* (/ x z) y) x)) (fma.f64 (/.f64 x z) y x)))
▶	16.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ x (- z y)) z) (*.f64 (/.f64 (neg.f64 z) y) x)))

Compiler

Compiled 232 to 124 computations (46.6% saved)

simplify96.0ms (1.8%)

Memory

23.6MiB live, 61.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

1 104×	`lower-fma.f32`
1 102×	`lower-fma.f64`
832×	`lower-*.f32`
824×	`lower-*.f64`
424×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	202
0	45	202
1	78	202
2	135	202
3	250	202
4	372	202
5	734	202
6	1360	202
7	1936	202
8	2298	202
9	2561	202
10	2612	202
11	2625	202
12	2642	202
13	2654	202
14	2654	202
0	2654	202

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize135.0ms (2.5%)

Memory

11.8MiB live, 88.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z y)
accuracy	0	(*.f64 z x)
accuracy	9.701267768839347	(/.f64 (*.f64 z x) (-.f64 z y))
accuracy	32.1925747876135	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) (-.f64 z y)))
accuracy	0	(/.f64 x y)
accuracy	0	(neg.f64 (fma.f64 (/.f64 x y) z z))
accuracy	1.2594127751399904	(fma.f64 (/.f64 x y) z z)
accuracy	31.598460567337405	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 (/.f64 x y) z z)))
accuracy	0	(neg.f64 z)
accuracy	7.084419440614337	(*.f64 (/.f64 (neg.f64 z) y) x)
accuracy	31.470960462025236	#s(approx (* (/ x (- z y)) z) (*.f64 (/.f64 (neg.f64 z) y) x))
accuracy	32.1925747876135	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ x (- z y)) z) (*.f64 (/.f64 (neg.f64 z) y) x)))
accuracy	0	(/.f64 x z)
accuracy	11.446704079957195	(*.f64 #s(approx (/ x (- z y)) (/.f64 x z)) z)
accuracy	29.99548570562668	#s(approx (/ x (- z y)) (/.f64 x z))
accuracy	32.1925747876135	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ x (- z y)) (/.f64 x z)) z))
accuracy	0	(-.f64 z y)
accuracy	0.02734375	(/.f64 y (-.f64 z y))
accuracy	8.242392751191861	(*.f64 (/.f64 y (-.f64 z y)) z)
accuracy	30.686645053039683	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z))

Samples

46.0ms

256×

valid

Compiler

Compiled 140 to 25 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 13.0ms (47.2% of total)

ival-mult: 7.0ms (25.4% of total)

ival-add: 3.0ms (10.9% of total)

ival-sub: 2.0ms (7.3% of total)

ival-neg: 2.0ms (7.3% of total)

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.7%)

Memory

-18.8MiB live, 53.5MiB allocated

Counts

20 → 612

Calls

Call 1

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

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

Calls

153 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(/ y (- z y))
2.0ms	z	@	-inf	(* (/ y (- z y)) z)
1.0ms	y	@	0	(* (/ (neg z) y) x)
1.0ms	z	@	0	(* (/ (neg z) y) x)
1.0ms	z	@	0	(/ (neg z) y)

simplify201.0ms (3.8%)

Memory

36.4MiB live, 186.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 882×	`lower-fma.f64`
9 882×	`lower-fma.f32`
4 650×	`lower-*.f64`
4 650×	`lower-*.f32`
2 534×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	506	7097
1	1623	6688
2	4682	6374
0	8221	6086

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 589

Calls

Call 1

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

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

rewrite177.0ms (3.3%)

Memory

-26.5MiB live, 223.9MiB allocated

Rules

4 114×	`lower-/.f32`
4 104×	`lower-/.f64`
4 074×	`lower-fma.f32`
4 072×	`lower-fma.f64`
3 518×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	186
0	45	186
1	164	186
2	1063	186
0	8681	186

Stop Event

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

Counts

20 → 489

Calls

Call 1

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

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

eval143.0ms (2.7%)

Memory: 15.6MiB live, 276.5MiB allocated
Compiler: Compiled 17 933 to 1 464 computations (91.8% saved)

prune264.0ms (5%)

Memory

-36.5MiB live, 240.4MiB allocated

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	1 146	5	1 151
Fresh	2	2	4
Picked	1	4	5
Done	0	4	4
Total	1 149	15	1 164

Accuracy

100.0%

Counts

1 164 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.3%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) #s(approx (- z y) (neg.f64 y))))
✓	49.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x)))
✓	51.3%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y))
✓	49.3%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z))
✓	44.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z))
▶	17.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z))
▶	18.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z))
✓	29.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ x (- z y)) (/.f64 x z)) z))
▶	46.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 x (/.f64 z (-.f64 z y))))
✓	48.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 (/.f64 x y) z z)))
✓	33.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
▶	32.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ (* z x) (- z y)) (fma.f64 x (/.f64 y z) x)))
▶	20.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 (/.f64 y z) y y)))
	17.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ x (- z y)) z) (/.f64 (neg.f64 z) (/.f64 y x))))
✓	16.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ x (- z y)) z) (*.f64 (/.f64 (neg.f64 z) y) x)))

Compiler

Compiled 231 to 121 computations (47.6% saved)

simplify119.0ms (2.2%)

Memory

19.0MiB live, 56.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

1 384×	`lower-fma.f32`
1 380×	`lower-fma.f64`
1 048×	`lower-*.f32`
1 042×	`lower-*.f64`
560×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	229
0	44	229
1	75	229
2	97	229
3	126	229
4	197	229
5	307	229
6	510	229
7	1121	229
8	1917	229
9	2515	229
10	2843	229
11	2936	229
12	3176	229
13	3184	229
14	3184	229
15	3204	229
16	3206	229
17	3206	229
0	3206	229

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize122.0ms (2.3%)

Memory

-5.0MiB live, 112.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f64 x #s(approx (- z y) (neg.f64 y)))
accuracy	11.446704079957195	(*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z)
accuracy	31.70217142142929	#s(approx (- z y) (neg.f64 y))
accuracy	32.1925747876135	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z))
accuracy	0	(/.f64 y z)
accuracy	3.8212181308001543	(fma.f64 x (/.f64 y z) x)
accuracy	31.253332527366176	#s(approx (/ (* z x) (- z y)) (fma.f64 x (/.f64 y z) x))
accuracy	32.1925747876135	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ (* z x) (- z y)) (fma.f64 x (/.f64 y z) x)))
accuracy	0	(/.f64 y z)
accuracy	0.078125	(fma.f64 (/.f64 y z) y y)
accuracy	30.686645053039683	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 (/.f64 y z) y y)))
accuracy	31.383859302184987	#s(approx (* (/ y (- z y)) z) (fma.f64 (/.f64 y z) y y))
accuracy	0	(/.f64 y z)
accuracy	8.242392751191861	(*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z)
accuracy	30.686645053039683	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z))
accuracy	31.177041367606602	#s(approx (/ y (- z y)) (/.f64 y z))
accuracy	0	(-.f64 z y)
accuracy	0.0234375	(/.f64 z (-.f64 z y))
accuracy	3.4767901896156292	(*.f64 x (/.f64 z (-.f64 z y)))
accuracy	32.1925747876135	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 x (/.f64 z (-.f64 z y))))

Samples

46.0ms

256×

valid

Compiler

Compiled 141 to 24 computations (83% saved)

Precisions

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

ival-mult: 14.0ms (45.3% of total)

ival-div: 9.0ms (29.1% of total)

ival-add: 4.0ms (12.9% of total)

ival-sub: 2.0ms (6.5% of total)

ival-neg: 1.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.5%)

Memory

9.6MiB live, 46.6MiB allocated

Counts

18 → 552

Calls

Call 1

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

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

Calls

138 calls:

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

simplify196.0ms (3.7%)

Memory

-5.3MiB live, 191.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 842×	`lower-fma.f64`
8 842×	`lower-fma.f32`
4 644×	`lower-*.f64`
4 644×	`lower-*.f32`
2 264×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	539	7227
1	1729	6759
2	4900	6434
0	8347	6066

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 520

Calls

Call 1

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

rewrite181.0ms (3.4%)

Memory

20.9MiB live, 136.4MiB allocated

Rules

5 414×	`lower-fma.f32`
5 410×	`lower-fma.f64`
4 334×	`lower-/.f32`
4 328×	`lower-/.f64`
3 834×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	208
0	44	208
1	164	208
2	1093	208
0	8691	208

Stop Event

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

Counts

18 → 301

Calls

Call 1

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

Outputs
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x))
(.f64 (pow.f64 (/.f64 (-.f64 z y) (.f64 z x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 z y) (*.f64 z x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 z (-.f64 z y)))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 z y)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 z) (-.f64 z y)))
(.f64 (/.f64 z (.f64 (+.f64 z y) (-.f64 z y))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 z y))))
(.f64 (/.f64 z (.f64 (fma.f64 z z (.f64 y (+.f64 z y))) (-.f64 z y))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 y (+.f64 z y))))))
(.f64 (/.f64 x (.f64 (+.f64 z y) (-.f64 z y))) (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 z y))))
(.f64 (/.f64 x (.f64 (fma.f64 z z (.f64 y (+.f64 z y))) (-.f64 z y))) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 y (+.f64 z y))))))
(.f64 (/.f64 (.f64 z x) (*.f64 (+.f64 z y) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y))))
(.f64 (/.f64 (.f64 z x) (*.f64 (+.f64 z y) (-.f64 z y))) (+.f64 z y))
(.f64 (/.f64 (.f64 z x) (.f64 (fma.f64 z z (.f64 y (+.f64 z y))) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y (+.f64 z y))))))
(.f64 (/.f64 (.f64 z x) (.f64 (fma.f64 z z (.f64 y (+.f64 z y))) (-.f64 z y))) (fma.f64 z z (*.f64 y (+.f64 z y))))
(*.f64 (/.f64 z (-.f64 z y)) x)
(*.f64 (/.f64 x (-.f64 z y)) z)
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 z y) (.f64 z x)))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (neg.f64 x) z) (-.f64 z y)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (/.f64 x (/.f64 #s(literal 1 binary64) z)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (.f64 z x))
(.f64 (.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) (-.f64 z y)))
(.f64 (.f64 z x) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(.f64 z (.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) x))
(*.f64 z (/.f64 x (-.f64 z y)))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 z (-.f64 z y)) x))
(*.f64 x (/.f64 z (-.f64 z y)))
(pow.f64 (/.f64 (-.f64 z y) (*.f64 z x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 z y) (*.f64 z x))))
(/.f64 (*.f64 (neg.f64 x) z) (neg.f64 (-.f64 z y)))
(/.f64 (neg.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(/.f64 (*.f64 z x) (-.f64 z y))
(/.f64 z (/.f64 (-.f64 z y) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 z y) (*.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 z x)))
(/.f64 x (/.f64 (-.f64 z y) z))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) z) (-.f64 z y)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 x) z) (-.f64 z y)))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 z y) (.f64 z x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 z y) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 z y) z) #s(literal -1/2 binary64)))
(.f64 (/.f64 z (.f64 (+.f64 z y) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y))))
(.f64 (/.f64 z (.f64 (+.f64 z y) (-.f64 z y))) (+.f64 z y))
(.f64 (/.f64 z (.f64 (fma.f64 z z (.f64 y (+.f64 z y))) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 y (+.f64 z y))))))
(.f64 (/.f64 z (.f64 (fma.f64 z z (.f64 y (+.f64 z y))) (-.f64 z y))) (fma.f64 z z (.f64 y (+.f64 z y))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (*.f64 z z)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (*.f64 z z)))) (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y y) y) (.f64 (*.f64 z z) z)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y y) y) (.f64 (*.f64 z z) z)))) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (*.f64 z z)))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) (-.f64 z y)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) z)
(.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y y) y) (.f64 (*.f64 z z) z)))))
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) (-.f64 z y)))
(*.f64 z (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(*.f64 #s(literal 1 binary64) (/.f64 z (-.f64 z y)))
(pow.f64 (/.f64 (-.f64 z y) z) #s(literal -1 binary64))
(/.f64 (neg.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 z z)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)))))
(/.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 z z))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(/.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z))))
(/.f64 (neg.f64 z) (neg.f64 (-.f64 z y)))
(/.f64 z (-.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) z))
(neg.f64 (/.f64 (neg.f64 z) (-.f64 z y)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) (-.f64 z y)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) z)) #s(literal -1 binary64)))
(.f64 (neg.f64 (.f64 (+.f64 z y) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 z y))))
(.f64 (neg.f64 (.f64 (fma.f64 z z (.f64 y (+.f64 z y))) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z z (.f64 y (+.f64 z y))))))
(.f64 (.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (+.f64 z y)))
(*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 z y)))
(.f64 (.f64 (fma.f64 z z (.f64 y (+.f64 z y))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 (.f64 y y) (*.f64 z (neg.f64 y))))))
(.f64 (.f64 (fma.f64 z z (.f64 y (+.f64 z y))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 y (+.f64 z y)))))
(*.f64 (-.f64 z y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 z y))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 z z) (+.f64 z y)) (/.f64 (.f64 z z) (+.f64 z y))) (.f64 (/.f64 (.f64 y y) (+.f64 z y)) (/.f64 (.f64 y y) (+.f64 z y)))) (+.f64 (/.f64 (.f64 z z) (+.f64 z y)) (/.f64 (.f64 y y) (+.f64 z y))))
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(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) x x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) x x)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 y y) (.f64 z z)) (.f64 x x)) (fma.f64 (/.f64 y z) x (neg.f64 x))) (/.f64 (.f64 (/.f64 (.f64 y y) (.f64 z z)) (.f64 x x)) (fma.f64 (/.f64 y z) x (neg.f64 x)))) (.f64 (/.f64 (.f64 x x) (fma.f64 (/.f64 y z) x (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (/.f64 y z) x (neg.f64 x))))) (+.f64 (/.f64 (.f64 (/.f64 (.f64 y y) (.f64 z z)) (.f64 x x)) (fma.f64 (/.f64 y z) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (/.f64 y z) x (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (/.f64 (.f64 y y) (.f64 z z)) (.f64 x x)) (fma.f64 (/.f64 y z) x (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (fma.f64 (/.f64 y z) x (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (/.f64 (.f64 y y) (.f64 z z)) (.f64 x x)) (fma.f64 (/.f64 y z) x (neg.f64 x))) (/.f64 (.f64 (/.f64 (.f64 y y) (.f64 z z)) (.f64 x x)) (fma.f64 (/.f64 y z) x (neg.f64 x))) (fma.f64 (/.f64 (.f64 x x) (fma.f64 (/.f64 y z) x (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (/.f64 y z) x (neg.f64 x))) (.f64 (/.f64 (.f64 (/.f64 (.f64 y y) (.f64 z z)) (.f64 x x)) (fma.f64 (/.f64 y z) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (/.f64 y z) x (neg.f64 x)))))))
(/.f64 (neg.f64 (fma.f64 x x (.f64 (neg.f64 (/.f64 (.f64 y y) (.f64 z z))) (.f64 x x)))) (neg.f64 (-.f64 x (*.f64 (/.f64 y z) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 z z)) (.f64 x x) (.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)) (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 z z)) (.f64 x x) (.f64 x (-.f64 x (*.f64 (/.f64 y z) x)))))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 y y) (.f64 z z)) (.f64 x x)) (fma.f64 (/.f64 y z) x (neg.f64 x))) (.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)) (.f64 x x))) (.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)) (fma.f64 (/.f64 y z) x (neg.f64 x))))
(/.f64 (fma.f64 x x (.f64 (neg.f64 (/.f64 (.f64 y y) (.f64 z z))) (.f64 x x))) (-.f64 x (*.f64 (/.f64 y z) x)))
(/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 z z)) (.f64 x x) (.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 (/.f64 y z) x (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)) (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 x x (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 (/.f64 y z) x)) (.f64 (*.f64 y x) x)) z))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)) (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 z z)) (.f64 x x) (.f64 x (-.f64 x (*.f64 (/.f64 y z) x))))))
(/.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 z z)) (.f64 x x) (.f64 (neg.f64 x) x)) (fma.f64 (/.f64 y z) x (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) x x))))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)) (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 x x (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 (/.f64 y z) x)) (.f64 (*.f64 y x) x)) z)))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)) (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (/.f64 (.f64 y y) (.f64 z z)) (.f64 x x) (.f64 x (-.f64 x (*.f64 (/.f64 y z) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (/.f64 y z) x)) (fma.f64 x x (.f64 (neg.f64 (/.f64 (.f64 y y) (.f64 z z))) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 (/.f64 y z) x)) (.f64 (.f64 y x) x)) z)) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)) (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) x x)))
(fma.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 x z) x)
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) z) x)
(fma.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 (*.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 (neg.f64 (*.f64 y x)) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (/.f64 y z) x))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 (.f64 (/.f64 (.f64 y y) (.f64 z z)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) x (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 y z) x (neg.f64 x)))))
(fma.f64 (/.f64 y z) x x)
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 y z) x))
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) x) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (/.f64 y z) x))) (/.f64 (.f64 (/.f64 (.f64 y y) (.f64 z z)) (.f64 x x)) (-.f64 x (*.f64 (/.f64 y z) x))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 y y) (.f64 z z)) (.f64 x x)) (fma.f64 (/.f64 y z) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (/.f64 y z) x (neg.f64 x))))
(+.f64 (/.f64 (.f64 (/.f64 (.f64 y y) (.f64 z z)) (.f64 x x)) (fma.f64 (/.f64 y z) x (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 y z) x (neg.f64 x)))))
(+.f64 (*.f64 (/.f64 y z) x) x)
(+.f64 x (*.f64 (/.f64 y z) x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) #s(approx (- z y) (neg.f64 y))))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 z #s(approx (- z y) (neg.f64 y))))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 x) #s(approx (- z y) (neg.f64 y))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 z) #s(approx (- z y) (neg.f64 y))))
(*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- z y) (neg.f64 y))) (/.f64 z (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) #s(approx (- z y) (neg.f64 y))))
(*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z)
(.f64 (.f64 z x) (/.f64 #s(literal 1 binary64) #s(approx (- z y) (neg.f64 y))))
(*.f64 z (/.f64 x #s(approx (- z y) (neg.f64 y))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 z x) #s(approx (- z y) (neg.f64 y))))
(*.f64 x (/.f64 z #s(approx (- z y) (neg.f64 y))))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- z y) (neg.f64 y))) z))
(pow.f64 (/.f64 #s(approx (- z y) (neg.f64 y)) (*.f64 z x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (- z y) (neg.f64 y)) (*.f64 z x))))
(/.f64 (neg.f64 z) (neg.f64 (/.f64 #s(approx (- z y) (neg.f64 y)) x)))
(/.f64 (*.f64 (neg.f64 x) z) (neg.f64 #s(approx (- z y) (neg.f64 y))))
(/.f64 (*.f64 z x) #s(approx (- z y) (neg.f64 y)))
(/.f64 z (/.f64 #s(approx (- z y) (neg.f64 y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (- z y) (neg.f64 y)) x) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (- z y) (neg.f64 y)) (*.f64 z x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z y) (neg.f64 y)) (*.f64 z x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- z y) (neg.f64 y)))) (/.f64 (*.f64 z x) (neg.f64 #s(approx (- z y) (neg.f64 y)))))
(*.f64 (pow.f64 (/.f64 #s(approx (- z y) (neg.f64 y)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (- z y) (neg.f64 y)) x) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(approx (- z y) (neg.f64 y)) x))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) #s(approx (- z y) (neg.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- z y) (neg.f64 y))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- z y) (neg.f64 y))) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (- z y) (neg.f64 y))))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- z y) (neg.f64 y))))
(*.f64 x (/.f64 #s(literal 1 binary64) #s(approx (- z y) (neg.f64 y))))
(pow.f64 (/.f64 #s(approx (- z y) (neg.f64 y)) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (- z y) (neg.f64 y)) x)))
(/.f64 (neg.f64 x) (neg.f64 #s(approx (- z y) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (- z y) (neg.f64 y)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z y) (neg.f64 y)) x))
(/.f64 x #s(approx (- z y) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 x) #s(approx (- z y) (neg.f64 y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- z y) (neg.f64 y)))) (/.f64 (neg.f64 x) #s(approx (- z y) (neg.f64 y))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) #s(approx (- z y) (neg.f64 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (- z y) (neg.f64 y)) x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- z y) (neg.f64 y))))
(*.f64 #s(approx (- z y) (neg.f64 y)) #s(literal 1 binary64))
#s(approx (- z y) (neg.f64 y))
(/.f64 (neg.f64 #s(approx (- z y) (neg.f64 y))) #s(literal -1 binary64))
(/.f64 #s(approx (- z y) (neg.f64 y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- z y) (neg.f64 y))))
(neg.f64 (neg.f64 #s(approx (- z y) (neg.f64 y))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- z y) (neg.f64 y))))

eval167.0ms (3.1%)

Memory: -11.4MiB live, 267.8MiB allocated
Compiler: Compiled 14 758 to 1 110 computations (92.5% saved)

prune114.0ms (2.2%)

Memory

-12.2MiB live, 266.9MiB allocated

Pruning

16 alts after pruning (3 fresh and 13 done)

	Pruned	Kept	Total
New	919	2	921
Fresh	1	1	2
Picked	0	5	5
Done	0	8	8
Total	920	16	936

Accuracy

100.0%

Counts

936 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.3%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) #s(approx (- z y) (neg.f64 y))))
	17.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 z (/.f64 #s(approx (- z y) (neg.f64 y)) x)))
✓	49.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x)))
✓	51.3%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y))
✓	49.3%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z))
✓	44.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z))
✓	17.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z))
✓	18.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z))
✓	29.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ x (- z y)) (/.f64 x z)) z))
✓	46.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 x (/.f64 z (-.f64 z y))))
✓	48.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 (/.f64 x y) z z)))
✓	33.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
✓	32.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ (* z x) (- z y)) (fma.f64 x (/.f64 y z) x)))
✓	20.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 (/.f64 y z) y y)))
	2.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* (/ y z) y) y) (*.f64 (/.f64 y z) y))))
✓	16.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ x (- z y)) z) (*.f64 (/.f64 (neg.f64 z) y) x)))

Compiler

Compiled 367 to 142 computations (61.3% saved)

regimes36.0ms (0.7%)

Memory

24.5MiB live, 99.2MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

10.0ms	y
9.0ms	z
8.0ms	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
7.0ms	x

Results

Accuracy	Segments	Branch
84.0%	1	`x`
95.4%	3	`y`
94.8%	3	`z`
99.8%	3	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes10.0ms (0.2%)

Memory

-17.6MiB live, 20.7MiB allocated

Counts

23 → 3

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

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

Results

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes35.0ms (0.7%)

Memory

13.2MiB live, 69.2MiB allocated

Counts

22 → 3

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	y
7.0ms	x
7.0ms	z
7.0ms	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

Results

Accuracy	Segments	Branch
73.3%	3	`x`
79.6%	3	`z`
80.6%	3	`y`
72.3%	3	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes17.0ms (0.3%)

Memory

-22.2MiB live, 17.4MiB allocated

Counts

14 → 3

Calls

Call 1

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

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
80.0%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes17.0ms (0.3%)

Memory

5.4MiB live, 45.0MiB allocated

Counts

11 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
65.7%	3	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`
54.9%	3	`x`
66.9%	3	`z`
71.1%	3	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
33.9%	1	`x`
33.9%	1	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`
33.9%	1	`z`
33.9%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	1.4786262775836227e-294
0.0ms	-3.6829859162654143e-284	0.0

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	1.4786262775836227e-294
0.0ms	-3.6829859162654143e-284	0.0

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch15.0ms (0.3%)

Memory

-7.8MiB live, 31.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	9.372877180142858e-12	3.9106144837339533e-10
4.0ms	-1438.0032035251304	-1017.5608992826

Samples

7.0ms

160×

valid

Compiler

Compiled 215 to 134 computations (37.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (51.9% of total)

ival-sub: 1.0ms (25.9% of total)

ival-add: 1.0ms (25.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch15.0ms (0.3%)

Memory

-7.0MiB live, 33.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	9.372877180142858e-12	3.9106144837339533e-10
13.0ms	-1017.5608992826	-0.0033330294203659534

Samples

7.0ms

144×

valid

Compiler

Compiled 335 to 206 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (57.1% of total)

ival-sub: 1.0ms (28.5% of total)

ival-add: 1.0ms (28.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch27.0ms (0.5%)

Memory

-11.2MiB live, 67.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.0550009840190073e+93	9.865959752563302e+97
14.0ms	-4.345119920223692e+104	-3.257929077738554e+89

Samples

14.0ms

288×

valid

Compiler

Compiled 285 to 194 computations (31.9% saved)

Precisions

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

ival-div: 4.0ms (57.4% of total)

ival-add: 2.0ms (28.7% of total)

ival-sub: 1.0ms (14.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify13.0ms (0.3%)

Memory

-5.3MiB live, 33.8MiB allocated

Algorithm

1×	egg-herbie

Rules

42×	`+-commutative_binary64`
32×	`*-commutative_binary64`
32×	`sub-neg_binary64`
26×	`neg-sub0_binary64`
26×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	296
1	78	296
2	97	296
3	116	296
4	127	296
5	139	296
6	151	296
7	163	296
8	171	296
9	176	296
10	177	296

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -6696928794914171/334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (/.f64 (.f64 z (+.f64 (+.f64 (/.f64 (.f64 z (+.f64 x z)) y) x) z)) (neg.f64 y)) z)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -6696928794914171/334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 (/.f64 x y) z z))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 y #s(literal -1100 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) (if (<=.f64 y #s(literal 4085202129641755/309485009821345068724781056 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 (/.f64 x y) z z)))))
(if (<=.f64 y #s(literal -3152519739159347/1125899906842624 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 (/.f64 x y) z z))) (if (<=.f64 y #s(literal 4085202129641755/309485009821345068724781056 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 (/.f64 x y) z z)))))
(if (<=.f64 y #s(literal -2900000000000000140268172381060164040488223768446612485854892072279809262312273222718980096 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 900000000000000033018378636816825303935572772004974172242557207789195801548918631435708638691328 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))

Outputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -6696928794914171/334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (/.f64 (.f64 z (+.f64 (+.f64 (/.f64 (.f64 z (+.f64 x z)) y) x) z)) (neg.f64 y)) z)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -6696928794914171/334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168 binary64)) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (+.f64 (/.f64 (.f64 (+.f64 (+.f64 (/.f64 (.f64 (+.f64 z x) z) y) x) z) z) y) z))) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -6696928794914171/334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 (/.f64 x y) z z))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -6696928794914171/334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168 binary64)) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 (/.f64 x y) z z))) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 y #s(literal -1100 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) (if (<=.f64 y #s(literal 4085202129641755/309485009821345068724781056 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 (/.f64 x y) z z)))))
(if (<=.f64 y #s(literal -1100 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) (if (<=.f64 y #s(literal 4085202129641755/309485009821345068724781056 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 (/.f64 x y) z z)))))
(if (<=.f64 y #s(literal -3152519739159347/1125899906842624 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 (/.f64 x y) z z))) (if (<=.f64 y #s(literal 4085202129641755/309485009821345068724781056 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 (/.f64 x y) z z)))))
(if (<=.f64 y #s(literal -3152519739159347/1125899906842624 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 (/.f64 x y) z z))) (if (<=.f64 y #s(literal 4085202129641755/309485009821345068724781056 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 (/.f64 x y) z z)))))
(if (<=.f64 y #s(literal -2900000000000000140268172381060164040488223768446612485854892072279809262312273222718980096 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 900000000000000033018378636816825303935572772004974172242557207789195801548918631435708638691328 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))))
(if (<=.f64 y #s(literal -2900000000000000140268172381060164040488223768446612485854892072279809262312273222718980096 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 900000000000000033018378636816825303935572772004974172242557207789195801548918631435708638691328 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))

soundness450.0ms (8.5%)

Memory

8.4MiB live, 284.3MiB allocated

Rules

17 244×	`lower-fma.f64`
17 244×	`lower-fma.f32`
4 624×	`lower-*.f64`
4 624×	`lower-*.f32`
2 932×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	958
1	589	915
2	1842	852
3	7158	833
0	8263	790

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 241 to 85 computations (64.7% saved)

preprocess77.0ms (1.5%)

Memory: -3.4MiB live, 114.9MiB allocated
Compiler: Compiled 478 to 146 computations (69.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
0	12	24
1	17	24
2	25	24
3	34	24
4	50	24
5	66	24
6	87	24
7	115	24
8	153	24
9	212	24
10	343	24
11	451	24
12	632	24
13	780	24
14	853	24
15	894	24
16	896	24
17	900	24
0	900	24

Iter	Nodes	Cost
0	56	296
1	78	296
2	97	296
3	116	296
4	127	296
5	139	296
6	151	296
7	163	296
8	171	296
9	176	296
10	177	296

Iter	Nodes	Cost
0	8	24
0	12	24
1	17	24
2	25	24
3	34	24
4	50	24
5	66	24
6	87	24
7	115	24
8	153	24
9	212	24
10	343	24
11	451	24
12	632	24
13	780	24
14	853	24
15	894	24
16	896	24
17	900	24
0	900	24

Iter	Nodes	Cost
0	56	296
1	78	296
2	97	296
3	116	296
4	127	296
5	139	296
6	151	296
7	163	296
8	171	296
9	176	296
10	177	296

start0.0ms (0%)

analyze71.0ms (1.3%)

sample650.0ms (12.3%)

explain139.0ms (2.6%)

preprocess181.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify30.0ms (0.6%)

localize87.0ms (1.6%)

series10.0ms (0.2%)

simplify217.0ms (4.1%)

rewrite143.0ms (2.7%)

eval50.0ms (0.9%)

prune160.0ms (3%)

simplify87.0ms (1.6%)

localize64.0ms (1.2%)

series56.0ms (1.1%)

simplify226.0ms (4.3%)

rewrite146.0ms (2.8%)

eval133.0ms (2.5%)

prune150.0ms (2.8%)

simplify96.0ms (1.8%)

localize135.0ms (2.5%)

series39.0ms (0.7%)

simplify201.0ms (3.8%)

rewrite177.0ms (3.3%)

eval143.0ms (2.7%)

prune264.0ms (5%)

simplify119.0ms (2.2%)

localize122.0ms (2.3%)

series25.0ms (0.5%)

simplify196.0ms (3.7%)

rewrite181.0ms (3.4%)

eval167.0ms (3.1%)

prune114.0ms (2.2%)

regimes36.0ms (0.7%)

regimes10.0ms (0.2%)

regimes35.0ms (0.7%)

regimes17.0ms (0.3%)

regimes17.0ms (0.3%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch15.0ms (0.3%)

bsearch15.0ms (0.3%)

bsearch27.0ms (0.5%)

simplify13.0ms (0.3%)

soundness450.0ms (8.5%)

preprocess77.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
0	12	24
1	17	24
2	25	24
3	34	24
4	50	24
5	66	24
6	87	24
7	115	24
8	153	24
9	212	24
10	343	24
11	451	24
12	632	24
13	780	24
14	853	24
15	894	24
16	896	24
17	900	24
0	900	24

Iter	Nodes	Cost
0	56	296
1	78	296
2	97	296
3	116	296
4	127	296
5	139	296
6	151	296
7	163	296
8	171	296
9	176	296
10	177	296