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

analyze109.0ms (1.7%)

Memory

7.9MiB live, 83.4MiB 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)

sample860.0ms (13.3%)

Memory

31.5MiB live, 814.2MiB allocated

Samples

557.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 304.0ms

ival-div: 156.0ms (51.2% of total)

ival-sub: 76.0ms (25% of total)

ival-add: 58.0ms (19.1% of total)

ival-true: 6.0ms (2% of total)

exact: 5.0ms (1.6% of total)

ival-assert: 3.0ms (1% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain74.0ms (1.1%)

Memory

4.3MiB live, 126.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
35	-	-	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`
1	-	-	`(-.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	35	0
↳	`(/.f64 y z)`	overflow	35
↳	`(-.f64 #s(literal 1 binary64) (/.f64 y z))`	overflow	35
`-.f64`	`(-.f64 #s(literal 1 binary64) (/.f64 y z))`	cancellation	1	0

Confusion

	Predicted +	Predicted -
+	36	0
-	0	220

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	36	0	0
-	0	0	220

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	220
1	36

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

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

ival-div: 7.0ms (55.7% of total)

ival-add: 3.0ms (23.9% of total)

ival-sub: 2.0ms (15.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess124.0ms (1.9%)

Memory

-16.9MiB live, 60.5MiB 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 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.9%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify35.0ms (0.5%)

Memory

2.8MiB live, 42.6MiB 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

localize19.0ms (0.3%)

Memory

-5.8MiB live, 32.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y z)
accuracy	0	(+.f64 x y)
accuracy	0.026064161492076153	(-.f64 #s(literal 1 binary64) (/.f64 y z))
accuracy	8.335887637465307	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

Samples

13.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-div: 3.0ms (48.5% of total)

ival-sub: 1.0ms (16.2% of total)

ival-add: 1.0ms (16.2% 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

24.5MiB live, 24.5MiB 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 (* -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 (* -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 (/ 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 (+ 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 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 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 (+ 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 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 -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 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 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 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 (/ 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 (* -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 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 (* -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 (/ 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 (* -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 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 (/ 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 (/ 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 (- 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 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 (- 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 (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 (- 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 -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>) () ())) ())

Calls

9 calls:

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

simplify172.0ms (2.7%)

Memory

3.5MiB live, 232.7MiB 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	1844	852
3	7144	833
0	8245	790

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 101

Calls

Call 1

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

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

rewrite165.0ms (2.5%)

Memory

-7.6MiB live, 238.3MiB 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 (fma.f64 (neg.f64 y) y (.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (fma.f64 (neg.f64 y) y (*.f64 x x))) (+.f64 y x))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (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) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (neg.f64 y) x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 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 (neg.f64 y) x)) (pow.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))) (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 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 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)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.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 (fma.f64 (neg.f64 y) y (.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) (-.f64 x y)) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (+.f64 y x)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) (+.f64 y x)))
(.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (neg.f64 y) x))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.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) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (-.f64 x y)))
(.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64))))
(.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (-.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) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))))
(.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 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (-.f64 (neg.f64 y) x) (pow.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.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) (pow.f64 (-.f64 #s(literal 1 binary64) (/.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 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) (-.f64 x y))) (-.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(/.f64 (.f64 (.f64 (-.f64 (neg.f64 y) x) (-.f64 x y)) (pow.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 x y))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (-.f64 y x) y (.f64 x x)))
(/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (pow.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x y))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x))))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64))) (-.f64 y x))
(/.f64 (.f64 (.f64 (-.f64 (neg.f64 y) x) (-.f64 x y)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x y))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x))))
(/.f64 (*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #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) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z)) #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (/.f64 y z)))
(/.f64 (.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z)) #s(literal 3 binary64)) #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 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(/.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (.f64 (-.f64 (neg.f64 y) x) (-.f64 x y))) (fma.f64 #s(literal -1 binary64) x y))
(/.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (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 (fma.f64 (neg.f64 y) y (.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (-.f64 x y))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.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 (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)))))))
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(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (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) (pow.f64 (/.f64 y z) #s(literal 3 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) (pow.f64 (/.f64 y z) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 4 binary64))) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (+.f64 (/.f64 y z) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #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) (pow.f64 (/.f64 y z) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 6 binary64))) (pow.f64 (/.f64 y z) #s(literal 3 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) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) #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)) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (*.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)) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (*.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) (pow.f64 (/.f64 y z) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 6 binary64))) (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 4 binary64))) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 6 binary64))) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (*.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) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (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) (pow.f64 (/.f64 y z) #s(literal 3 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 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (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 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.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) (pow.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z)) #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (/.f64 y z)) (neg.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z)) #s(literal 3 binary64)) #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 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 y z) (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y z)) (neg.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64)))))
(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 (pow.f64 z #s(literal -1 binary64)) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 (neg.f64 y) (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 y z) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)))))
(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 (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))))
(-.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 (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)))))
(+.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 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) 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 (pow.f64 z #s(literal -1 binary64)))
(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 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.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)))

eval51.0ms (0.8%)

Memory: 5.3MiB live, 123.9MiB allocated
Compiler: Compiled 8 965 to 1 012 computations (88.7% saved)

prune15.0ms (0.2%)

Memory

7.6MiB live, 46.4MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	425	12	437
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	425	13	438

Accuracy

100.0%

Counts

438 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.9%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	86.7%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))
	47.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (+.f64 y x)))
	48.1%	#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)))
▶	93.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 y (-.f64 z y)) z (/.f64 x (/.f64 (-.f64 z y) z))))
	42.1%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
▶	46.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
	46.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (/.f64 (.f64 z (+.f64 (+.f64 (/.f64 (.f64 z (+.f64 z x)) y) x) z)) (neg.f64 y)) z))
▶	48.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x))
	46.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x)))
	48.3%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
▶	50.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
▶	32.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))

Compiler

Compiled 255 to 200 computations (21.6% saved)

simplify267.0ms (4.1%)

Memory

5.0MiB live, 83.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 z y)
cost-diff	0	(/.f64 (-.f64 z y) z)
cost-diff	0	(/.f64 x (/.f64 (-.f64 z y) z))
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
cost-diff	0	(/.f64 y z)
cost-diff	0	(fma.f64 (/.f64 y z) (+.f64 y x) y)
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x))
cost-diff	64	(+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)
cost-diff	0	(/.f64 x y)
cost-diff	0	(-.f64 #s(literal -1 binary64) (/.f64 x y))
cost-diff	0	(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x 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 z y)
cost-diff	0	(/.f64 y (-.f64 z y))
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 y (-.f64 z y)) z (/.f64 x (/.f64 (-.f64 z y) z))))
cost-diff	1472	(fma.f64 (/.f64 y (-.f64 z y)) z (/.f64 x (/.f64 (-.f64 z y) z)))

Rules

3 792×	`lower-fma.f32`
3 788×	`lower-fma.f64`
1 384×	`lower-*.f32`
1 382×	`lower-*.f64`
1 010×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	194
0	42	194
1	74	190
2	149	190
3	245	182
4	391	182
5	670	182
6	1710	182
7	3306	182
8	4520	182
9	4874	182
10	4906	182
11	4942	182
12	4942	182
13	5316	182
14	5538	182
15	5726	182
16	5882	182
17	5882	182
18	5882	182
19	5882	182
20	5882	182
0	5882	182

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize106.0ms (1.6%)

Memory

1.9MiB live, 157.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z y)
accuracy	0.0078125	(/.f64 (-.f64 z y) z)
accuracy	3.22733017732262	(/.f64 x (/.f64 (-.f64 z y) z))
accuracy	31.85523644020212	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
accuracy	0	(+.f64 y x)
accuracy	0.00390625	(+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)
accuracy	0.7569853422806325	(fma.f64 (/.f64 y z) (+.f64 y x) y)
accuracy	33.05451038284916	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x))
accuracy	0	(/.f64 x y)
accuracy	0	(-.f64 #s(literal -1 binary64) (/.f64 x y))
accuracy	1.9414758214004517	(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
accuracy	30.853999420250574	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
accuracy	0	(neg.f64 z)
accuracy	42.91671110063033	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
accuracy	0.0078125	(/.f64 (-.f64 z y) z)
accuracy	0.0078125	(/.f64 y (-.f64 z y))
accuracy	1.8599558668125493	(fma.f64 (/.f64 y (-.f64 z y)) z (/.f64 x (/.f64 (-.f64 z y) z)))
accuracy	3.22733017732262	(/.f64 x (/.f64 (-.f64 z y) z))

Samples

74.0ms

256×

valid

Compiler

Compiled 154 to 25 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-neg: 22.0ms (45.9% of total)

ival-div: 10.0ms (20.9% of total)

ival-add: 8.0ms (16.7% of total)

ival-mult: 4.0ms (8.3% of total)

ival-sub: 3.0ms (6.3% of total)

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

exact: 0.0ms (0% of total)

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

series105.0ms (1.6%)

Memory

-46.9MiB live, 96.2MiB allocated

Counts

18 → 540

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
42.0ms	z	@	inf	((+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (/ (+ x y) (- 1 (/ y z))) (/ y (- z y)) (- z y) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (+ (* (/ y z) (+ y x)) y) x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y z) (+ y x)) y) (/ y z) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (/ (- z y) z) (+ y x))
5.0ms	y	@	inf	((+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (/ (+ x y) (- 1 (/ y z))) (/ y (- z y)) (- z y) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (+ (* (/ y z) (+ y x)) y) x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y z) (+ y x)) y) (/ y z) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (/ (- z y) z) (+ y x))
4.0ms	z	@	0	((+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (/ (+ x y) (- 1 (/ y z))) (/ y (- z y)) (- z y) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (+ (* (/ y z) (+ y x)) y) x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y z) (+ y x)) y) (/ y z) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (/ (- z y) z) (+ y x))
3.0ms	y	@	-inf	((+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (/ (+ x y) (- 1 (/ y z))) (/ y (- z y)) (- z y) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (+ (* (/ y z) (+ y x)) y) x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y z) (+ y x)) y) (/ y z) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (/ (- z y) z) (+ y x))
3.0ms	x	@	inf	((+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (/ (+ x y) (- 1 (/ y z))) (/ y (- z y)) (- z y) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (+ (* (/ y z) (+ y x)) y) x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y z) (+ y x)) y) (/ y z) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (/ (- z y) z) (+ y x))

simplify197.0ms (3%)

Memory

32.0MiB live, 275.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 726×	`lower-fma.f64`
10 726×	`lower-fma.f32`
4 598×	`lower-*.f64`
4 598×	`lower-*.f32`
2 836×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	575	6799
1	1886	6298
2	5778	5990
0	8407	5700

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 519

Calls

Call 1

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

rewrite305.0ms (4.7%)

Memory

-8.7MiB live, 308.3MiB allocated

Rules

4 818×	`lower-/.f32`
4 808×	`lower-/.f64`
4 588×	`lower-fma.f32`
4 584×	`lower-fma.f64`
3 642×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	165
0	42	165
1	198	161
2	1926	161
0	8192	161

Stop Event

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

Counts

18 → 539

Calls

Call 1

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

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

eval234.0ms (3.6%)

Memory: 12.6MiB live, 420.7MiB allocated
Compiler: Compiled 26 093 to 3 089 computations (88.2% saved)

prune75.0ms (1.2%)

Memory

15.0MiB live, 105.6MiB allocated

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	1 331	11	1 342
Fresh	5	2	7
Picked	3	2	5
Done	1	0	1
Total	1 340	15	1 355

Accuracy

100.0%

Counts

1 355 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 y (-.f64 z y)) z (/.f64 x #s(approx (/ (- z y) z) #s(literal 1 binary64)))))
	45.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (/.f64 x (-.f64 z y)) (pow.f64 z #s(literal -1 binary64))))
	42.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y)))
▶	42.1%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
	46.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
▶	48.3%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
✓	50.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
	21.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
✓	32.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
▶	28.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
	19.3%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y))))
	20.1%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 (/.f64 y z) y y)))
	2.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y)))
▶	87.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))))
▶	42.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 (/.f64 z (-.f64 z y)) y)))

Compiler

Compiled 229 to 213 computations (7% saved)

simplify110.0ms (1.7%)

Memory

1.9MiB live, 38.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 z y)
cost-diff	0	(/.f64 (-.f64 z y) z)
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
cost-diff	384	(/.f64 y (/.f64 (-.f64 z y) z))
cost-diff	0	(/.f64 z (-.f64 z y))
cost-diff	0	(*.f64 (/.f64 z (-.f64 z y)) y)
cost-diff	0	#s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 (/.f64 z (-.f64 z y)) y))
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 (/.f64 z (-.f64 z y)) y)))
cost-diff	0	(/.f64 x z)
cost-diff	0	(fma.f64 (/.f64 x z) y x)
cost-diff	0	#s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
cost-diff	0	(+.f64 y x)
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
cost-diff	0	(/.f64 z (-.f64 z y))
cost-diff	0	(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))
cost-diff	0	#s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)))
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))))

Rules

1 232×	`lower-fma.f32`
1 230×	`lower-fma.f64`
768×	`lower-*.f32`
764×	`lower-*.f64`
446×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	258
0	42	264
1	73	234
2	113	234
3	132	234
4	160	234
5	253	234
6	446	234
7	1000	234
8	2438	234
9	3209	234
10	3305	234
11	3398	234
12	3441	234
13	3445	234
14	3449	234
15	3461	234
16	3463	234
0	3463	234

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize76.0ms (1.2%)

Memory

-22.8MiB live, 75.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z y)
accuracy	0.0078125	(/.f64 (-.f64 z y) z)
accuracy	8.231474849726396	(/.f64 y (/.f64 (-.f64 z y) z))
accuracy	30.91993048550092	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
accuracy	0	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 (/.f64 z (-.f64 z y)) y)))
accuracy	0.015625	(/.f64 z (-.f64 z y))
accuracy	7.826675327148293	(*.f64 (/.f64 z (-.f64 z y)) y)
accuracy	30.91993048550092	#s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 (/.f64 z (-.f64 z y)) y))
accuracy	0	(/.f64 x z)
accuracy	3.274432675285982	(fma.f64 (/.f64 x z) y x)
accuracy	31.85523644020212	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
accuracy	32.79784501280702	#s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))
accuracy	0	(+.f64 y x)
accuracy	33.092343156578245	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
accuracy	0	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))))
accuracy	0	#s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)))
accuracy	0.015625	(/.f64 z (-.f64 z y))
accuracy	7.915495678218167	(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))

Samples

61.0ms

256×

valid

Compiler

Compiled 159 to 24 computations (84.9% saved)

Precisions

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

ival-div: 12.0ms (40.1% of total)

ival-add: 9.0ms (30% of total)

ival-mult: 6.0ms (20% of total)

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

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.6%)

Memory

-10.7MiB live, 62.8MiB allocated

Counts

17 → 528

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	y	@	-inf	((/ (+ x y) (- 1 (/ y z))) (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (* (/ z (- z y)) (+ y x)) (/ z (- z y)) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ x z) y) x) (/ x z) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (* (/ z (- z y)) y) (/ y (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y))
2.0ms	x	@	-inf	((/ (+ x y) (- 1 (/ y z))) (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (* (/ z (- z y)) (+ y x)) (/ z (- z y)) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ x z) y) x) (/ x z) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (* (/ z (- z y)) y) (/ y (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y))
2.0ms	x	@	inf	((/ (+ x y) (- 1 (/ y z))) (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (* (/ z (- z y)) (+ y x)) (/ z (- z y)) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ x z) y) x) (/ x z) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (* (/ z (- z y)) y) (/ y (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y))
2.0ms	x	@	0	((/ (+ x y) (- 1 (/ y z))) (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (* (/ z (- z y)) (+ y x)) (/ z (- z y)) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ x z) y) x) (/ x z) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (* (/ z (- z y)) y) (/ y (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y))
1.0ms	z	@	-inf	((/ (+ x y) (- 1 (/ y z))) (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (* (/ z (- z y)) (+ y x)) (/ z (- z y)) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ x z) y) x) (/ x z) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (* (/ z (- z y)) y) (/ y (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y))

simplify224.0ms (3.5%)

Memory

9.1MiB live, 250.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 514×	`lower-fma.f64`
10 514×	`lower-fma.f32`
4 404×	`lower-*.f64`
4 404×	`lower-*.f32`
2 740×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	557	7541
1	1811	6917
2	5385	6634
0	8225	6296

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 499

Calls

Call 1

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

rewrite206.0ms (3.2%)

Memory

30.2MiB live, 291.6MiB allocated

Rules

6 164×	`lower-/.f32`
6 156×	`lower-/.f64`
4 804×	`lower-fma.f32`
4 802×	`lower-fma.f64`
3 538×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	232
0	42	208
1	178	208
2	1763	208
0	8240	208

Stop Event

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

Counts

17 → 789

Calls

Call 1

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

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

eval279.0ms (4.3%)

Memory: 3.1MiB live, 363.3MiB allocated
Compiler: Compiled 27 985 to 4 120 computations (85.3% saved)

prune52.0ms (0.8%)

Memory

-8.1MiB live, 152.6MiB allocated

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	1 500	5	1 505
Fresh	3	5	8
Picked	2	3	5
Done	0	2	2
Total	1 505	15	1 520

Accuracy

100.0%

Counts

1 520 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y)))
	46.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
✓	48.3%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
▶	49.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z))
▶	39.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 (neg.f64 x) y) (/.f64 z y)))
✓	50.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
▶	21.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
✓	32.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
▶	20.1%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y)))
✓	28.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
	19.3%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y))))
	2.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y)))
	47.1%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (.f64 (/.f64 (.f64 (+.f64 y x) z) (*.f64 (+.f64 z y) (-.f64 z y))) (+.f64 z y))))
✓	42.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 (/.f64 z (-.f64 z y)) y)))
▶	20.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 #s(approx (/ z (- z y)) #s(literal 1 binary64)) y)))

Compiler

Compiled 210 to 193 computations (8.1% saved)

simplify237.0ms (3.7%)

Memory

15.9MiB live, 89.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

3 568×	`lower-fma.f32`
3 566×	`lower-fma.f64`
2 376×	`lower-*.f32`
2 368×	`lower-*.f64`
2 080×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	252
0	53	252
1	86	248
2	130	248
3	232	240
4	408	238
5	1206	238
6	2848	238
7	3993	238
8	4644	238
9	5258	238
10	5427	238
11	5513	238
12	5538	238
13	6742	238
14	7095	238
15	7215	238
16	7307	238
17	7353	238
18	7353	238
19	7561	238
20	7921	238
0	8699	238

Stop Event

1×	iter limit
1×	node limit
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))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 #s(approx (/ z (- z y)) #s(literal 1 binary64)) y)))
#s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 #s(approx (/ z (- z y)) #s(literal 1 binary64)) y))
(*.f64 #s(approx (/ z (- z y)) #s(literal 1 binary64)) y)
#s(approx (/ z (- z y)) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#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))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
(*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)
#s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
z
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 (neg.f64 x) y) (/.f64 z y)))
(*.f64 (-.f64 (neg.f64 x) y) (/.f64 z y))
(-.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
(/.f64 z y)
z

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

localize132.0ms (2%)

Memory

-13.0MiB live, 149.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 (neg.f64 x) y)
accuracy	0	(neg.f64 x)
accuracy	10.292940587977892	(*.f64 (-.f64 (neg.f64 x) y) (/.f64 z y))
accuracy	30.853999420250574	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 (neg.f64 x) y) (/.f64 z y)))
accuracy	0	(neg.f64 x)
accuracy	1.9414758214004517	(*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)
accuracy	30.853999420250574	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
accuracy	32.13180430215253	#s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y))
accuracy	0	(/.f64 y z)
accuracy	0.0546875	(fma.f64 (/.f64 y z) y y)
accuracy	30.91993048550092	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y)))
accuracy	32.94586013153294	#s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y))
accuracy	0	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 #s(approx (/ z (- z y)) #s(literal 1 binary64)) y)))
accuracy	7.826675327148293	(*.f64 #s(approx (/ z (- z y)) #s(literal 1 binary64)) y)
accuracy	30.91993048550092	#s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 #s(approx (/ z (- z y)) #s(literal 1 binary64)) y))
accuracy	32.879554213222406	#s(approx (/ z (- z y)) #s(literal 1 binary64))
accuracy	0	(-.f64 z y)
accuracy	0.0078125	(/.f64 y (-.f64 z y))
accuracy	7.209367990545315	(*.f64 (/.f64 y (-.f64 z y)) z)
accuracy	30.91993048550092	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z))

Samples

115.0ms

256×

valid

Compiler

Compiled 153 to 30 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-mult: 49.0ms (49.3% of total)

ival-div: 38.0ms (38.2% of total)

ival-sub: 7.0ms (7% of total)

ival-add: 4.0ms (4% of total)

ival-neg: 1.0ms (1% of total)

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

exact: 0.0ms (0% of total)

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

series51.0ms (0.8%)

Memory

-21.9MiB live, 97.8MiB allocated

Counts

20 → 564

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

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	((/ (+ x y) (- 1 (/ y z))) (* (/ y (- z y)) z) (/ y (- z y)) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (* (/ z (- z y)) y) (/ z (- z y)) (/ (+ x y) (- 1 (/ y z))) (/ y (/ (- z y) z)) (+ (* (/ y z) y) y) (/ y z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ (neg x) y) (* (- (neg x) y) (/ z y)) (/ (+ x y) (- 1 (/ y z))) (- (neg x) y) (neg x))
4.0ms	z	@	-inf	((/ (+ x y) (- 1 (/ y z))) (* (/ y (- z y)) z) (/ y (- z y)) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (* (/ z (- z y)) y) (/ z (- z y)) (/ (+ x y) (- 1 (/ y z))) (/ y (/ (- z y) z)) (+ (* (/ y z) y) y) (/ y z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ (neg x) y) (* (- (neg x) y) (/ z y)) (/ (+ x y) (- 1 (/ y z))) (- (neg x) y) (neg x))
2.0ms	z	@	0	((/ (+ x y) (- 1 (/ y z))) (* (/ y (- z y)) z) (/ y (- z y)) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (* (/ z (- z y)) y) (/ z (- z y)) (/ (+ x y) (- 1 (/ y z))) (/ y (/ (- z y) z)) (+ (* (/ y z) y) y) (/ y z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ (neg x) y) (* (- (neg x) y) (/ z y)) (/ (+ x y) (- 1 (/ y z))) (- (neg x) y) (neg x))
2.0ms	y	@	inf	((/ (+ x y) (- 1 (/ y z))) (* (/ y (- z y)) z) (/ y (- z y)) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (* (/ z (- z y)) y) (/ z (- z y)) (/ (+ x y) (- 1 (/ y z))) (/ y (/ (- z y) z)) (+ (* (/ y z) y) y) (/ y z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ (neg x) y) (* (- (neg x) y) (/ z y)) (/ (+ x y) (- 1 (/ y z))) (- (neg x) y) (neg x))
2.0ms	y	@	-inf	((/ (+ x y) (- 1 (/ y z))) (* (/ y (- z y)) z) (/ y (- z y)) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (* (/ z (- z y)) y) (/ z (- z y)) (/ (+ x y) (- 1 (/ y z))) (/ y (/ (- z y) z)) (+ (* (/ y z) y) y) (/ y z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ (neg x) y) (* (- (neg x) y) (/ z y)) (/ (+ x y) (- 1 (/ y z))) (- (neg x) y) (neg x))

simplify374.0ms (5.8%)

Memory

-170.6MiB live, 353.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 940×	`lower-fma.f64`
9 940×	`lower-fma.f32`
4 102×	`lower-*.f64`
4 102×	`lower-*.f32`
2 590×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	528	6925
1	1718	6466
2	5097	6117
0	8230	5814

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 543

Calls

Call 1

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

rewrite277.0ms (4.3%)

Memory

-10.0MiB live, 341.1MiB allocated

Rules

6 298×	`lower-fma.f32`
6 296×	`lower-fma.f64`
5 170×	`lower-/.f32`
5 162×	`lower-/.f64`
4 024×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	235
0	53	235
1	210	223
2	1879	223
0	8252	223

Stop Event

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

Counts

20 → 394

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

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

eval198.0ms (3.1%)

Memory: 33.3MiB live, 219.0MiB allocated
Compiler: Compiled 14 211 to 2 074 computations (85.4% saved)

prune49.0ms (0.8%)

Memory

-16.0MiB live, 104.1MiB allocated

Pruning

16 alts after pruning (6 fresh and 10 done)

	Pruned	Kept	Total
New	959	2	961
Fresh	1	4	5
Picked	0	5	5
Done	0	5	5
Total	960	16	976

Accuracy

100.0%

Counts

976 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y)))
	46.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
✓	48.3%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
✓	49.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z))
✓	39.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 (neg.f64 x) y) (/.f64 z y)))
✓	50.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
	17.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z))
	19.3%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- (neg x) y) (neg.f64 x)) (/.f64 z y)))
✓	21.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
✓	32.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
✓	20.1%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y)))
✓	28.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
	2.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y)))
	47.1%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (.f64 (/.f64 (.f64 (+.f64 y x) z) (*.f64 (+.f64 z y) (-.f64 z y))) (+.f64 z y))))
✓	42.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 (/.f64 z (-.f64 z y)) y)))
✓	20.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 #s(approx (/ z (- z y)) #s(literal 1 binary64)) y)))

Compiler

Compiled 422 to 233 computations (44.8% saved)

regimes65.0ms (1%)

Memory

-28.2MiB live, 71.3MiB allocated

Counts

31 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

35.0ms	x
10.0ms	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
9.0ms	z
9.0ms	y

Results

Accuracy	Segments	Branch
93.6%	1	`x`
98.4%	4	`y`
95.8%	2	`z`
99.8%	3	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes10.0ms (0.2%)

Memory

17.6MiB live, 17.6MiB allocated

Counts

29 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

9.0ms

(/.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 9 to 8 computations (11.1% saved)

regimes67.0ms (1%)

Memory

-13.9MiB live, 60.6MiB allocated

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

33.0ms	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
22.0ms	x
6.0ms	z
5.0ms	y

Results

Accuracy	Segments	Branch
72.3%	3	`x`
77.4%	4	`y`
78.9%	3	`z`
73.8%	6	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes6.0ms (0.1%)

Memory

12.8MiB live, 12.9MiB allocated

Counts

15 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
78.7%	3	`z`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes21.0ms (0.3%)

Memory

-0.1MiB live, 36.9MiB allocated

Counts

12 → 4

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
64.1%	4	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`
63.1%	4	`x`
68.2%	4	`y`
66.4%	5	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes5.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

11 → 4

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
67.3%	4	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
65.1%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.1%)

Memory

-31.6MiB live, 13.9MiB 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:

4.0ms	y
1.0ms	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
32.9%	1	`x`
32.9%	1	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`
32.9%	1	`z`
32.9%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	4.603739330060236e-299
0.0ms	-7.07728758333182e-236	-6.418706492420932e-288

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	4.603739330060236e-299
0.0ms	-7.07728758333182e-236	-6.418706492420932e-288

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch21.0ms (0.3%)

Memory

4.2MiB live, 41.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	8.679051673067555e+53	1.3622427187303562e+54
13.0ms	-1.210889463103515e+21	-2077902764835738.5

Samples

10.0ms

208×

valid

Compiler

Compiled 233 to 235 computations (-0.9% saved)

Precisions

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

ival-div: 3.0ms (58.4% of total)

ival-sub: 1.0ms (19.5% of total)

ival-add: 1.0ms (19.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch15.0ms (0.2%)

Memory

15.9MiB live, 15.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	8.679051673067555e+53	1.3622427187303562e+54
13.0ms	-109987.71314551009	-1.3441257559824726e-5

Samples

7.0ms

160×

valid

Compiler

Compiled 180 to 224 computations (-24.4% saved)

Precisions

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

ival-div: 2.0ms (51.2% of total)

ival-sub: 1.0ms (25.6% of total)

ival-add: 1.0ms (25.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch77.0ms (1.2%)

Memory

-13.2MiB live, 24.8MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	6.231506088427591e+189	4.4174084395216093e+192
10.0ms	7.994118204792648e-33	2.3582944067029032e-29
52.0ms	-3.229622416540056e+47	-1.775154205671292e+35

Samples

58.0ms

416×

valid

Compiler

Compiled 282 to 374 computations (-32.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 44.0ms (89.8% of total)

ival-sub: 2.0ms (4.1% of total)

ival-add: 2.0ms (4.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch38.0ms (0.6%)

Memory

-13.8MiB live, 23.9MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.898326054077927e+92	9.121705557454837e+95
10.0ms	9.103132575815851e+38	2.4557301530647854e+42
1.0ms	-3.229622416540056e+47	-1.775154205671292e+35

Samples

12.0ms

256×

valid

Compiler

Compiled 266 to 374 computations (-40.6% saved)

Precisions

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

ival-div: 3.0ms (49% of total)

ival-sub: 1.0ms (16.3% of total)

ival-add: 1.0ms (16.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch11.0ms (0.2%)

Memory

26.2MiB live, 26.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	5055670065372.689	232251521125977.22
1.0ms	-3.229622416540056e+47	-1.775154205671292e+35

Samples

5.0ms

112×

valid

Compiler

Compiled 131 to 218 computations (-66.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 2.0ms (70.9% of total)

ival-add: 1.0ms (35.4% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify46.0ms (0.7%)

Memory

8.3MiB live, 50.1MiB allocated

Algorithm

1×	egg-herbie

Rules

46×	`+-commutative-binary64-+.f64`
38×	`-commutative-binary64-.f64`
34×	`sub-neg-binary64-neg.f64-+.f64--.f64`
26×	`neg-sub0-binary64--.f64-neg.f64`
26×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	555
1	122	555
2	145	555
3	166	555
4	178	555
5	189	555
6	199	555
7	209	555
8	216	555
9	221	555
10	222	555

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -357986298980937/7159725979618740301104695983418709622680434793042663132360362425577766001338226039836321066456157093857339877304749930018599215189268344175111256510391144905128218576994803025566700315369744694061260002057936311868982638401684395903839696776618573824 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)))) (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 z x)) y) x) z)) (neg.f64 y)) z)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ ( (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -357986298980937/7159725979618740301104695983418709622680434793042663132360362425577766001338226039836321066456157093857339877304749930018599215189268344175111256510391144905128218576994803025566700315369744694061260002057936311868982638401684395903839696776618573824 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)))) (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 #s(literal -1 binary64) (/.f64 x y)) z)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))))))
(if (<=.f64 z #s(literal -430000000000000000000 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x))) (if (<=.f64 z #s(literal 1149999999999999970936443042957218206470051743750160384 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x)))))
(if (<=.f64 z #s(literal -8116567392432203/4611686018427387904 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 z #s(literal 1149999999999999970936443042957218206470051743750160384 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))))
(if (<=.f64 y #s(literal -43499999999999997697109616452807685205655552 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 4453012801242595/11417981541647679048466287755595961091061972992 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 y #s(literal 91999999999999997177956370386113501291494696293412532636984959166008683169248985517705583181214126615863958235458889034133696970085713575605294047797115297734583789655227121353689490647941120 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 (/.f64 z (-.f64 z y)) y))) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)))))
(if (<=.f64 y #s(literal -43499999999999997697109616452807685205655552 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 2050000000000000022381583780252988947300352 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 y #s(literal 30000000000000000606566373814678409657282889696430732234133305686240120149944929280760934825984 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)))))
(if (<=.f64 y #s(literal -43499999999999997697109616452807685205655552 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 230000000000000 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))

Outputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -357986298980937/7159725979618740301104695983418709622680434793042663132360362425577766001338226039836321066456157093857339877304749930018599215189268344175111256510391144905128218576994803025566700315369744694061260002057936311868982638401684395903839696776618573824 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)))) (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 z x)) y) x) z)) (neg.f64 y)) z)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ ( (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))))))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -357986298980937/7159725979618740301104695983418709622680434793042663132360362425577766001338226039836321066456157093857339877304749930018599215189268344175111256510391144905128218576994803025566700315369744694061260002057936311868982638401684395903839696776618573824 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (.f64 (+.f64 y x) (/.f64 z (-.f64 z y))))) (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))) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ ( (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 (+.f64 y x) (/.f64 z (-.f64 z y)))))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -357986298980937/7159725979618740301104695983418709622680434793042663132360362425577766001338226039836321066456157093857339877304749930018599215189268344175111256510391144905128218576994803025566700315369744694061260002057936311868982638401684395903839696776618573824 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)))) (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 #s(literal -1 binary64) (/.f64 x y)) z)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))))))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -357986298980937/7159725979618740301104695983418709622680434793042663132360362425577766001338226039836321066456157093857339877304749930018599215189268344175111256510391144905128218576994803025566700315369744694061260002057936311868982638401684395903839696776618573824 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (.f64 (+.f64 y x) (/.f64 z (-.f64 z y))))) (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))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 (+.f64 y x) (/.f64 z (-.f64 z y)))))))
(if (<=.f64 z #s(literal -430000000000000000000 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x))) (if (<=.f64 z #s(literal 1149999999999999970936443042957218206470051743750160384 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x)))))
(if (<=.f64 z #s(literal -430000000000000000000 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 x z) y x) y)) (if (<=.f64 z #s(literal 1149999999999999970936443042957218206470051743750160384 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 x z) y x) y))))
(if (<=.f64 z #s(literal -8116567392432203/4611686018427387904 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 z #s(literal 1149999999999999970936443042957218206470051743750160384 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))))
(if (<=.f64 y #s(literal -43499999999999997697109616452807685205655552 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 4453012801242595/11417981541647679048466287755595961091061972992 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 y #s(literal 91999999999999997177956370386113501291494696293412532636984959166008683169248985517705583181214126615863958235458889034133696970085713575605294047797115297734583789655227121353689490647941120 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 (/.f64 z (-.f64 z y)) y))) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)))))
(if (<=.f64 y #s(literal -43499999999999997697109616452807685205655552 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 2050000000000000022381583780252988947300352 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 y #s(literal 30000000000000000606566373814678409657282889696430732234133305686240120149944929280760934825984 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)))))
(if (<=.f64 y #s(literal -43499999999999997697109616452807685205655552 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 230000000000000 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))

soundness744.0ms (11.5%)

Memory

16.1MiB live, 520.3MiB allocated

Rules

17 244×	`lower-fma.f64`
17 244×	`lower-fma.f32`
10 726×	`lower-fma.f64`
10 726×	`lower-fma.f32`
4 624×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	958
1	589	915
2	1844	852
3	7144	833
0	8245	790
0	575	6799
1	1886	6298
2	5778	5990
0	8407	5700

Stop Event

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

Compiler

Compiled 357 to 186 computations (47.9% saved)

preprocess112.0ms (1.7%)

Memory: 2.1MiB live, 197.2MiB allocated
Compiler: Compiled 602 to 214 computations (64.5% 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	94	555
1	122	555
2	145	555
3	166	555
4	178	555
5	189	555
6	199	555
7	209	555
8	216	555
9	221	555
10	222	555

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	94	555
1	122	555
2	145	555
3	166	555
4	178	555
5	189	555
6	199	555
7	209	555
8	216	555
9	221	555
10	222	555

start0.0ms (0%)

analyze109.0ms (1.7%)

sample860.0ms (13.3%)

explain74.0ms (1.1%)

preprocess124.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify35.0ms (0.5%)

localize19.0ms (0.3%)

series10.0ms (0.2%)

simplify172.0ms (2.7%)

rewrite165.0ms (2.5%)

eval51.0ms (0.8%)

prune15.0ms (0.2%)

simplify267.0ms (4.1%)

localize106.0ms (1.6%)

series105.0ms (1.6%)

simplify197.0ms (3%)

rewrite305.0ms (4.7%)

eval234.0ms (3.6%)

prune75.0ms (1.2%)

simplify110.0ms (1.7%)

localize76.0ms (1.2%)

series39.0ms (0.6%)

simplify224.0ms (3.5%)

rewrite206.0ms (3.2%)

eval279.0ms (4.3%)

prune52.0ms (0.8%)

simplify237.0ms (3.7%)

localize132.0ms (2%)

series51.0ms (0.8%)

simplify374.0ms (5.8%)

rewrite277.0ms (4.3%)

eval198.0ms (3.1%)

prune49.0ms (0.8%)

regimes65.0ms (1%)

regimes10.0ms (0.2%)

regimes67.0ms (1%)

regimes6.0ms (0.1%)

regimes21.0ms (0.3%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch21.0ms (0.3%)

bsearch15.0ms (0.2%)

bsearch77.0ms (1.2%)

bsearch38.0ms (0.6%)

bsearch11.0ms (0.2%)

simplify46.0ms (0.7%)

soundness744.0ms (11.5%)

preprocess112.0ms (1.7%)

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	94	555
1	122	555
2	145	555
3	166	555
4	178	555
5	189	555
6	199	555
7	209	555
8	216	555
9	221	555
10	222	555