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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze77.0ms (1.2%)

Memory

-27.7MiB live, 98.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
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)

sample986.0ms (14.9%)

Memory

25.8MiB live, 815.2MiB allocated

Samples

664.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 325.0ms

ival-div: 137.0ms (42.2% of total)

ival-add: 99.0ms (30.5% of total)

ival-sub: 74.0ms (22.8% of total)

ival-true: 7.0ms (2.2% of total)

exact: 5.0ms (1.5% of total)

ival-assert: 3.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain105.0ms (1.6%)

Memory

-1.9MiB live, 83.9MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`	n/o	32	0
↳	`(/.f64 y z)`	overflow	32
↳	`(-.f64 #s(literal 1 binary64) (/.f64 y z))`	overflow	32

Confusion

	Predicted +	Predicted -
+	32	0
-	0	224

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	32	0	0
-	0	0	224

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	224
1	32

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

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

ival-div: 7.0ms (54.5% of total)

ival-add: 3.0ms (23.4% of total)

ival-sub: 2.0ms (15.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess134.0ms (2%)

Memory

-16.7MiB live, 58.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.2%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify32.0ms (0.5%)

Memory

6.2MiB live, 44.4MiB 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

localize29.0ms (0.4%)

Memory

13.3MiB live, 56.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y z)
accuracy	0	(-.f64 #s(literal 1 binary64) (/.f64 y z))
accuracy	0	(+.f64 x y)
accuracy	7.565714985054958	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

Samples

16.0ms

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 (48.7% 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)

series12.0ms (0.2%)

Memory

-6.9MiB live, 31.7MiB 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
3.0ms	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))

simplify180.0ms (2.7%)

Memory

-16.1MiB live, 222.0MiB 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 x (.f64 y y)) z (/.f64 z y))) z)
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (/.f64 x (.f64 (.f64 y y) y))) z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z)
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (/.f64 x (.f64 (.f64 y y) y))) (fma.f64 (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) z (/.f64 z (.f64 (.f64 y y) y)))) z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (.f64 y y)))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z)
(* -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)))))
(+.f64 (/.f64 (fma.f64 (+.f64 y x) y (/.f64 (.f64 y (.f64 (+.f64 y x) (fma.f64 y (/.f64 y z) y))) z)) z) (+.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))))
(+.f64 (/.f64 (fma.f64 (+.f64 y x) y (/.f64 (.f64 y (.f64 (+.f64 y x) (fma.f64 y (/.f64 y z) y))) z)) z) (+.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 z (fma.f64 z (/.f64 (-.f64 (neg.f64 x) z) (.f64 y y)) #s(literal -1 binary64)) (.f64 (/.f64 z y) (-.f64 (neg.f64 x) z)))
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y)))
(neg.f64 (+.f64 (/.f64 (fma.f64 z (+.f64 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 (/.f64 y (-.f64 z y)) z)
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(fma.f64 (/.f64 y (-.f64 z y)) z (*.f64 (/.f64 x (-.f64 z y)) z))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(fma.f64 (/.f64 y (-.f64 z y)) z (*.f64 (/.f64 x (-.f64 z y)) z))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(fma.f64 (/.f64 y (-.f64 z y)) z (*.f64 (/.f64 x (-.f64 z y)) z))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(/ x (- 1 (/ y z)))
(*.f64 (/.f64 x (-.f64 z y)) z)
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) z (/.f64 y (.f64 (/.f64 (-.f64 z y) z) x))) x)
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) z (/.f64 y (.f64 (/.f64 (-.f64 z y) z) x))) x)
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) z (/.f64 y (.f64 (/.f64 (-.f64 z y) z) 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 x)))
(fma.f64 (/.f64 y x) x x)
(/ x (- 1 (/ y z)))
(*.f64 (/.f64 x (-.f64 z y)) z)
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) z (/.f64 y (.f64 (/.f64 (-.f64 z y) z) x))) x)
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) z (/.f64 y (.f64 (/.f64 (-.f64 z y) z) x))) x)
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) z (/.f64 y (.f64 (/.f64 (-.f64 z y) z) x))) x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)

rewrite134.0ms (2%)

Memory

25.6MiB live, 229.6MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 336

Calls

Call 1

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

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

eval48.0ms (0.7%)

Memory: -3.5MiB live, 111.1MiB allocated
Compiler: Compiled 10 488 to 995 computations (90.5% saved)

prune58.0ms (0.9%)

Memory

-12.8MiB live, 145.7MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

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

Accuracy

100.0%

Counts

438 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.2%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	36.7%	(/.f64 (+.f64 x y) #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z)))
▶	46.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)))
▶	91.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 y (-.f64 z y)) z (*.f64 (/.f64 x (-.f64 z y)) z)))
	51.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x)))
	52.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
▶	49.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z))
	44.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z))
▶	46.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
▶	33.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))

Compiler

Compiled 216 to 120 computations (44.4% saved)

simplify198.0ms (3%)

Memory

18.5MiB live, 139.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (neg.f64 x) z)
cost-diff	0	(/.f64 z y)
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)))
cost-diff	128	(fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))
cost-diff	0	(-.f64 z y)
cost-diff	0	(/.f64 y (-.f64 z y))
cost-diff	0	(*.f64 (/.f64 y (-.f64 z y)) z)
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z))
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 (/.f64 x (-.f64 z y)) z)))
cost-diff	1088	(fma.f64 (/.f64 y (-.f64 z y)) z (*.f64 (/.f64 x (-.f64 z y)) z))

Rules

2 464×	`lower-fma.f32`
2 460×	`lower-fma.f64`
1 192×	`lower-*.f32`
1 186×	`lower-*.f64`
664×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	190
0	43	188
1	72	188
2	133	180
3	320	178
4	713	178
5	1650	178
6	3117	178
7	3930	178
8	4151	178
9	4173	178
10	4185	178
11	4189	178
12	4193	178
13	4361	178
14	4433	178
15	4433	178
16	4433	178
0	4433	178

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

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

localize74.0ms (1.1%)

Memory

10.3MiB live, 171.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 z)
accuracy	0	(neg.f64 x)
accuracy	1.442184059269562	(fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))
accuracy	33.05571095437139	#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)))
accuracy	0	(-.f64 z y)
accuracy	0.015625	(/.f64 y (-.f64 z y))
accuracy	7.555398160731796	(*.f64 (/.f64 y (-.f64 z y)) z)
accuracy	30.6931117944829	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z))
accuracy	0	(/.f64 x y)
accuracy	0	(-.f64 #s(literal -1 binary64) (/.f64 x y))
accuracy	1.9773999085544132	(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
accuracy	32.94105317561287	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
accuracy	0	(neg.f64 z)
accuracy	42.88206896507649	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
accuracy	0.01171875	(/.f64 x (-.f64 z y))
accuracy	0.015625	(/.f64 y (-.f64 z y))
accuracy	1.4296739713910431	(fma.f64 (/.f64 y (-.f64 z y)) z (*.f64 (/.f64 x (-.f64 z y)) z))
accuracy	9.460850580271346	(*.f64 (/.f64 x (-.f64 z y)) z)

Samples

58.0ms

256×

valid

Compiler

Compiled 149 to 26 computations (82.6% saved)

Precisions

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

ival-div: 11.0ms (35.3% of total)

ival-mult: 8.0ms (25.6% of total)

ival-sub: 6.0ms (19.2% of total)

ival-add: 4.0ms (12.8% of total)

ival-neg: 2.0ms (6.4% of total)

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

exact: 0.0ms (0% of total)

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

series76.0ms (1.2%)

Memory

-18.5MiB live, 99.1MiB allocated

Counts

19 → 552

Calls

Call 1

Inputs
#s(alt (fma.f64 (/.f64 y (-.f64 z y)) z (.f64 (/.f64 x (-.f64 z y)) z)) (patch (fma.f64 (/.f64 y (-.f64 z y)) z (.f64 (/.f64 x (-.f64 z y)) z)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 y (-.f64 z y)) z (.f64 (/.f64 x (-.f64 z y)) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 y (-.f64 z y)) z (.f64 (/.f64 x (-.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 #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 (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) #<representation binary64>) () ())
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())
#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x (-.f64 z y)) z) (patch (.f64 (/.f64 x (-.f64 z y)) z) #<representation binary64>) () ())
#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 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 (/.f64 x (-.f64 z y)) z)) (patch (fma.f64 (/.f64 y (-.f64 z y)) z (.f64 (/.f64 x (-.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 (/.f64 x (-.f64 z y)) z)) (patch (fma.f64 (/.f64 y (-.f64 z y)) z (.f64 (/.f64 x (-.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 (/.f64 x (-.f64 z y)) z)) (patch (fma.f64 (/.f64 y (-.f64 z y)) z (.f64 (/.f64 x (-.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 (/.f64 x (-.f64 z y)) z)) (patch (fma.f64 (/.f64 y (-.f64 z y)) z (.f64 (/.f64 x (-.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 (/.f64 x (-.f64 z y)) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 y (-.f64 z y)) z (.f64 (/.f64 x (-.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 (/.f64 x (-.f64 z y)) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 y (-.f64 z y)) z (.f64 (/.f64 x (-.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 (/.f64 x (-.f64 z y)) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 y (-.f64 z y)) z (.f64 (/.f64 x (-.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 (/.f64 x (-.f64 z y)) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 y (-.f64 z y)) z (.f64 (/.f64 x (-.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 (* -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 (* z (- (* -1 (/ x y)) 1)) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ())
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#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 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) 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))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) 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))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (.f64 (/.f64 x (-.f64 z y)) z) (patch (.f64 (/.f64 x (-.f64 z y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (.f64 (/.f64 x (-.f64 z y)) z) (patch (.f64 (/.f64 x (-.f64 z y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (.f64 (/.f64 x (-.f64 z y)) z) (patch (.f64 (/.f64 x (-.f64 z y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (.f64 (/.f64 x (-.f64 z y)) z) (patch (.f64 (/.f64 x (-.f64 z y)) z) #<representation binary64>) () ())) ())
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z 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
5.0ms	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) (/ (+ x y) (- 1 (/ y z))) (* (/ y (- z y)) z) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (+ x y) (- 1 (/ y z))) (/ z y) (- (neg x) z) (* (/ x (- z y)) z) (/ x (- z y)) (neg 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) (/ (+ x y) (- 1 (/ y z))) (* (/ y (- z y)) z) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (+ x y) (- 1 (/ y z))) (/ z y) (- (neg x) z) (* (/ x (- z y)) z) (/ x (- z y)) (neg x))
4.0ms	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) (/ (+ x y) (- 1 (/ y z))) (* (/ y (- z y)) z) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (+ x y) (- 1 (/ y z))) (/ z y) (- (neg x) z) (* (/ x (- z y)) z) (/ x (- z y)) (neg x))
3.0ms	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) (/ (+ x y) (- 1 (/ y z))) (* (/ y (- z y)) z) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (+ x y) (- 1 (/ y z))) (/ z y) (- (neg x) z) (* (/ x (- z y)) z) (/ x (- z y)) (neg 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) (/ (+ x y) (- 1 (/ y z))) (* (/ y (- z y)) z) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (+ x y) (- 1 (/ y z))) (/ z y) (- (neg x) z) (* (/ x (- z y)) z) (/ x (- z y)) (neg x))

simplify212.0ms (3.2%)

Memory

-2.2MiB live, 227.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 336×	`lower-fma.f64`
9 336×	`lower-fma.f32`
3 666×	`lower-*.f64`
3 666×	`lower-*.f32`
3 488×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	658	7102
1	2142	6581
2	6340	6146
0	8440	5850

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 537

Calls

Call 1

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

rewrite236.0ms (3.6%)

Memory

24.5MiB live, 265.9MiB allocated

Rules

4 988×	`lower-/.f32`
4 980×	`lower-/.f64`
4 862×	`lower-*.f32`
4 856×	`lower-*.f64`
3 296×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	167
0	43	165
1	182	161
2	1594	161
0	8483	161

Stop Event

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

Counts

19 → 558

Calls

Call 1

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

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

eval199.0ms (3%)

Memory: -9.1MiB live, 256.1MiB allocated
Compiler: Compiled 27 052 to 2 201 computations (91.9% saved)

prune152.0ms (2.3%)

Memory

-2.6MiB live, 256.0MiB allocated

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	1 245	12	1 257
Fresh	2	2	4
Picked	3	2	5
Done	1	0	1
Total	1 251	16	1 267

Accuracy

100.0%

Counts

1 267 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) y x))
	43.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (*.f64 (-.f64 (neg.f64 x) z) z) (/.f64 #s(literal 1 binary64) y) (neg.f64 z)))
	42.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))
	48.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
	46.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)))
▶	52.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
▶	44.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z))
✓	46.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
▶	19.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z))
▶	16.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
	42.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 y (/.f64 z (-.f64 z y))))
✓	33.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
▶	41.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (neg.f64 (*.f64 z (+.f64 y (+.f64 x z)))) y)))
	17.1%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (neg.f64 x) (/.f64 z y))))
	48.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (* (/ x (- z y)) z)) (*.f64 (/.f64 z (-.f64 z y)) x)))
	20.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 (/.f64 y z) y y)))

Compiler

Compiled 341 to 193 computations (43.4% saved)

simplify154.0ms (2.3%)

Memory

-7.5MiB live, 145.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

7 144×	`lower-fma.f64`
7 144×	`lower-fma.f32`
3 112×	`lower-*.f32`
3 104×	`lower-*.f64`
1 294×	`div-sub`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	242
0	55	240
1	97	240
2	227	240
3	590	238
4	1191	235
5	2670	235
6	4468	235
7	5482	235
8	6421	235
9	7868	235
0	8201	235

Stop Event

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

Calls

Call 1

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

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

localize99.0ms (1.5%)

Memory

0.0MiB live, 205.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (neg.f64 (*.f64 z (+.f64 y (+.f64 x z)))) y))
accuracy	0.0078125	(*.f64 z (+.f64 y (+.f64 x z)))
accuracy	8.10122924564709	(/.f64 (neg.f64 (*.f64 z (+.f64 y (+.f64 x z)))) y)
accuracy	33.05571095437139	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (neg.f64 (*.f64 z (+.f64 y (+.f64 x z)))) y)))
accuracy	0	(-.f64 z y)
accuracy	0.01171875	(/.f64 x (-.f64 z y))
accuracy	9.460850580271346	(*.f64 (/.f64 x (-.f64 z y)) z)
accuracy	31.60558486044867	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z))
accuracy	0	(neg.f64 x)
accuracy	1.9773999085544132	(*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)
accuracy	31.907581018493033	#s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y))
accuracy	32.94105317561287	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
accuracy	0	(/.f64 y z)
accuracy	7.555398160731796	(*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z)
accuracy	30.293797549772908	#s(approx (/ y (- z y)) (/.f64 y z))
accuracy	30.6931117944829	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z))
accuracy	0	(+.f64 y x)
accuracy	30.254355336759133	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))

Samples

67.0ms

256×

valid

Compiler

Compiled 155 to 32 computations (79.4% saved)

Precisions

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

ival-div: 25.0ms (51.5% of total)

ival-mult: 8.0ms (16.5% of total)

ival-add: 7.0ms (14.4% of total)

ival-sub: 4.0ms (8.2% of total)

ival-neg: 4.0ms (8.2% of total)

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

exact: 0.0ms (0% of total)

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

series64.0ms (1%)

Memory

9.0MiB live, 50.6MiB allocated

Counts

20 → 612

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	x	@	inf	((/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (* (/ y (- z y)) z) (/ y (- z y)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ (neg x) y) (/ (+ x y) (- 1 (/ y z))) (* (/ x (- z y)) z) (/ x (- z y)) (- z y) (/ (neg (* z (+ y (+ x z)))) y) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg (* z (+ y (+ x z)))) (neg x) (* z (+ y (+ x z))))
7.0ms	x	@	0	((/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (* (/ y (- z y)) z) (/ y (- z y)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ (neg x) y) (/ (+ x y) (- 1 (/ y z))) (* (/ x (- z y)) z) (/ x (- z y)) (- z y) (/ (neg (* z (+ y (+ x z)))) y) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg (* z (+ y (+ x z)))) (neg x) (* z (+ y (+ x z))))
3.0ms	x	@	-inf	((/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (* (/ y (- z y)) z) (/ y (- z y)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ (neg x) y) (/ (+ x y) (- 1 (/ y z))) (* (/ x (- z y)) z) (/ x (- z y)) (- z y) (/ (neg (* z (+ y (+ x z)))) y) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg (* z (+ y (+ x z)))) (neg x) (* z (+ y (+ x z))))
2.0ms	z	@	inf	((/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (* (/ y (- z y)) z) (/ y (- z y)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ (neg x) y) (/ (+ x y) (- 1 (/ y z))) (* (/ x (- z y)) z) (/ x (- z y)) (- z y) (/ (neg (* z (+ y (+ x z)))) y) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg (* z (+ y (+ x z)))) (neg x) (* z (+ y (+ x z))))
2.0ms	y	@	inf	((/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (* (/ y (- z y)) z) (/ y (- z y)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ (neg x) y) (/ (+ x y) (- 1 (/ y z))) (* (/ x (- z y)) z) (/ x (- z y)) (- z y) (/ (neg (* z (+ y (+ x z)))) y) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg (* z (+ y (+ x z)))) (neg x) (* z (+ y (+ x z))))

simplify210.0ms (3.2%)

Memory

-10.8MiB live, 190.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 016×	`lower-fma.f64`
9 016×	`lower-fma.f32`
5 078×	`lower-*.f64`
5 078×	`lower-*.f32`
2 324×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	594	7317
1	1935	6917
2	5602	6553
0	8312	6243

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 592

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

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

rewrite178.0ms (2.7%)

Memory

32.7MiB live, 185.2MiB allocated

Rules

5 158×	`lower-/.f32`
5 150×	`lower-/.f64`
4 400×	`lower-*.f32`
4 392×	`lower-*.f64`
2 944×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	221
0	55	219
1	230	219
2	1897	217
0	8670	217

Stop Event

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

Counts

20 → 303

Calls

Call 1

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

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

eval145.0ms (2.2%)

Memory: 2.6MiB live, 192.0MiB allocated
Compiler: Compiled 13 093 to 1 172 computations (91% saved)

prune135.0ms (2%)

Memory

-13.3MiB live, 147.9MiB allocated

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	888	7	895
Fresh	4	5	9
Picked	1	4	5
Done	0	2	2
Total	893	18	911

Accuracy

100.0%

Counts

911 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (*.f64 (-.f64 (neg.f64 x) z) z) (/.f64 #s(literal 1 binary64) y) (neg.f64 z)))
	42.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))
▶	48.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
✓	52.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
✓	44.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z))
✓	46.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
	35.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (.f64 z x) (/.f64 #s(literal 1 binary64) (-.f64 z y))))
✓	19.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z))
✓	16.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
▶	42.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 y (/.f64 z (-.f64 z y))))
	48.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 x (/.f64 z (-.f64 z y))))
✓	33.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
	41.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (neg.f64 #s(approx (* z (+ y (+ x z))) (*.f64 (+.f64 y x) z))) y)))
▶	28.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (neg.f64 #s(approx (* z (+ y (+ x z))) (*.f64 y z))) y)))
	16.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (neg.f64 #s(approx (* z (+ y (+ x z))) (*.f64 x z))) y)))
▶	17.1%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
	20.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 (/.f64 y z) y y)))
▶	34.1%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ x (- z y)) z) (fma.f64 (/.f64 y z) x x)))

Compiler

Compiled 344 to 190 computations (44.8% saved)

simplify246.0ms (3.7%)

Memory

-13.5MiB live, 106.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

2 976×	`lower-fma.f32`
2 974×	`lower-fma.f64`
1 416×	`lower-*.f32`
1 410×	`lower-*.f64`
854×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	285
0	56	281
1	104	281
2	193	281
3	387	277
4	724	277
5	1961	277
6	3602	277
7	4338	277
8	4548	277
9	4584	277
10	4596	277
11	4597	277
12	4963	277
13	5121	277
14	5123	277
15	5123	277
16	5123	277
17	5123	277
0	5123	277

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize90.0ms (1.4%)

Memory

35.4MiB live, 191.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z y)
accuracy	0.015625	(/.f64 z (-.f64 z y))
accuracy	7.191495783302131	(*.f64 y (/.f64 z (-.f64 z y)))
accuracy	30.6931117944829	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 y (/.f64 z (-.f64 z y))))
accuracy	0	#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (neg.f64 #s(approx (* z (+ y (+ x z))) (*.f64 y z))) y))
accuracy	8.10122924564709	(/.f64 (neg.f64 #s(approx (* z (+ y (+ x z))) (*.f64 y z))) y)
accuracy	33.05571095437139	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (neg.f64 #s(approx (* z (+ y (+ x z))) (*.f64 y z))) y)))
accuracy	39.60659063302357	#s(approx (* z (+ y (+ x z))) (*.f64 y z))
accuracy	0	(neg.f64 z)
accuracy	5.284015083080733	(*.f64 (/.f64 (neg.f64 z) y) x)
accuracy	33.05571095437139	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
accuracy	39.059687796722685	#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))
accuracy	0	(/.f64 y z)
accuracy	1.9369684078501854	(fma.f64 (/.f64 y z) x x)
accuracy	30.320582524219773	#s(approx (* (/ x (- z y)) z) (fma.f64 (/.f64 y z) x x))
accuracy	31.60558486044867	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ x (- z y)) z) (fma.f64 (/.f64 y z) x x)))
accuracy	0	(/.f64 y z)
accuracy	0	(-.f64 #s(literal 1 binary64) (/.f64 y z))
accuracy	2.7289140783533172	(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
accuracy	31.60558486044867	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))

Samples

72.0ms

256×

valid

Compiler

Compiled 170 to 32 computations (81.2% saved)

Precisions

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

ival-mult: 16.0ms (33.3% of total)

ival-div: 13.0ms (27.1% of total)

ival-add: 11.0ms (22.9% of total)

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

ival-neg: 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)

series56.0ms (0.8%)

Memory

-16.5MiB live, 101.6MiB allocated

Counts

21 → 660

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((/ (+ x y) (- 1 (/ y z))) (/ x (- 1 (/ y z))) (- 1 (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (* (/ x (- z y)) z) (+ (* (/ y z) x) x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (* (/ (neg z) y) x) (/ (neg z) y) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (neg (* z (+ y (+ x z)))) y) (neg (* z (+ y (+ x z)))) (/ (+ x y) (- 1 (/ y z))) (* y (/ z (- z y))) (/ z (- z y)) (- z y) (neg z) (* z (+ y (+ x z))))
5.0ms	z	@	0	((/ (+ x y) (- 1 (/ y z))) (/ x (- 1 (/ y z))) (- 1 (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (* (/ x (- z y)) z) (+ (* (/ y z) x) x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (* (/ (neg z) y) x) (/ (neg z) y) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (neg (* z (+ y (+ x z)))) y) (neg (* z (+ y (+ x z)))) (/ (+ x y) (- 1 (/ y z))) (* y (/ z (- z y))) (/ z (- z y)) (- z y) (neg z) (* z (+ y (+ x z))))
3.0ms	x	@	inf	((/ (+ x y) (- 1 (/ y z))) (/ x (- 1 (/ y z))) (- 1 (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (* (/ x (- z y)) z) (+ (* (/ y z) x) x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (* (/ (neg z) y) x) (/ (neg z) y) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (neg (* z (+ y (+ x z)))) y) (neg (* z (+ y (+ x z)))) (/ (+ x y) (- 1 (/ y z))) (* y (/ z (- z y))) (/ z (- z y)) (- z y) (neg z) (* z (+ y (+ x z))))
2.0ms	x	@	0	((/ (+ x y) (- 1 (/ y z))) (/ x (- 1 (/ y z))) (- 1 (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (* (/ x (- z y)) z) (+ (* (/ y z) x) x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (* (/ (neg z) y) x) (/ (neg z) y) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (neg (* z (+ y (+ x z)))) y) (neg (* z (+ y (+ x z)))) (/ (+ x y) (- 1 (/ y z))) (* y (/ z (- z y))) (/ z (- z y)) (- z y) (neg z) (* z (+ y (+ x z))))
2.0ms	z	@	inf	((/ (+ x y) (- 1 (/ y z))) (/ x (- 1 (/ y z))) (- 1 (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (* (/ x (- z y)) z) (+ (* (/ y z) x) x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (* (/ (neg z) y) x) (/ (neg z) y) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (neg (* z (+ y (+ x z)))) y) (neg (* z (+ y (+ x z)))) (/ (+ x y) (- 1 (/ y z))) (* y (/ z (- z y))) (/ z (- z y)) (- z y) (neg z) (* z (+ y (+ x z))))

simplify308.0ms (4.7%)

Memory

17.4MiB live, 234.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 568×	`lower-fma.f64`
8 568×	`lower-fma.f32`
4 862×	`lower-*.f64`
4 862×	`lower-*.f32`
2 338×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	518	7875
1	1685	7455
2	4927	7074
0	8100	6753

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 640

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

rewrite196.0ms (3%)

Memory

-15.2MiB live, 322.2MiB allocated

Rules

5 056×	`lower-/.f32`
5 046×	`lower-/.f64`
4 484×	`lower-*.f32`
4 478×	`lower-*.f64`
3 472×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	265
0	56	261
1	227	261
2	1779	257
0	8327	257

Stop Event

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

Counts

21 → 364

Calls

Call 1

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

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

eval165.0ms (2.5%)

Memory: 18.9MiB live, 251.5MiB allocated
Compiler: Compiled 15 231 to 1 299 computations (91.5% saved)

prune154.0ms (2.3%)

Memory

-29.4MiB live, 162.6MiB allocated

Pruning

18 alts after pruning (8 fresh and 10 done)

	Pruned	Kept	Total
New	1 065	3	1 068
Fresh	2	5	7
Picked	0	5	5
Done	1	5	6
Total	1 068	18	1 086

Accuracy

100.0%

Counts

1 086 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (*.f64 (-.f64 (neg.f64 x) z) z) (/.f64 #s(literal 1 binary64) y) (neg.f64 z)))
	42.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))
✓	48.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
✓	52.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
✓	44.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z))
✓	46.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
✓	16.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
✓	42.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 y (/.f64 z (-.f64 z y))))
	21.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 y #s(approx (/ z (- z y)) #s(literal 1 binary64))))
	48.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 x (/.f64 z (-.f64 z y))))
✓	33.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
	16.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)))
	41.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (neg.f64 #s(approx (* z (+ y (+ x z))) (*.f64 (+.f64 y x) z))) y)))
✓	28.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (neg.f64 #s(approx (* z (+ y (+ x z))) (*.f64 y z))) y)))
✓	17.1%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
	17.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 z)) x)))
	20.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 (/.f64 y z) y y)))
✓	34.1%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ x (- z y)) z) (fma.f64 (/.f64 y z) x x)))

Compiler

Compiled 478 to 183 computations (61.7% saved)

regimes57.0ms (0.9%)

Memory

-7.6MiB live, 67.1MiB allocated

Counts

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

Outputs

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

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

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

Calls

4 calls:

25.0ms	x
12.0ms	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
9.0ms	z
9.0ms	y

Results

Accuracy	Segments	Branch
91.7%	1	`x`
99.9%	3	`y`
95.8%	2	`z`
99.9%	3	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes36.0ms (0.5%)

Memory

-5.1MiB live, 32.8MiB allocated

Counts

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

Outputs

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

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

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

Calls

2 calls:

25.0ms	y
9.0ms	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

Results

Accuracy	Segments	Branch
94.9%	3	`y`
99.9%	3	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes50.0ms (0.7%)

Memory

13.8MiB live, 56.0MiB allocated

Counts

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

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

Calls

4 calls:

23.0ms	y
9.0ms	x
8.0ms	z
8.0ms	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

Results

Accuracy	Segments	Branch
76.0%	3	`x`
78.4%	4	`y`
76.6%	3	`z`
74.4%	6	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes12.0ms (0.2%)

Memory

18.0MiB live, 18.0MiB 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))) (*.f64 y #s(approx (/ z (- z y)) #s(literal 1 binary64))))
#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 (* (/ x (- z y)) z) (fma.f64 (/.f64 y z) x 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 (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (neg.f64 x) (/.f64 z y))))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (neg.f64 #s(approx (* z (+ y (+ x z))) (*.f64 x z))) y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (neg.f64 #s(approx (* z (+ y (+ x z))) (*.f64 y z))) y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) 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))) #s(approx (+ (* (/ y (- z y)) z) (* (/ x (- z y)) z)) (*.f64 (/.f64 z (-.f64 z y)) x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 x (/.f64 z (-.f64 z y))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 y (/.f64 z (-.f64 z 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 x (-.f64 z y)) z))

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

2 calls:

6.0ms	z
5.0ms	y

Results

Accuracy	Segments	Branch
76.4%	3	`z`
77.6%	4	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes29.0ms (0.4%)

Memory

2.4MiB live, 39.2MiB allocated

Counts

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

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

Calls

3 calls:

18.0ms	z
5.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
74.2%	4	`x`
71.9%	4	`y`
66.1%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes17.0ms (0.3%)

Memory

-7.7MiB live, 29.1MiB allocated

Counts

14 → 3

Calls

Call 1

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

3 calls:

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

Results

Accuracy	Segments	Branch
67.0%	4	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`
69.0%	3	`y`
67.4%	5	`x`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes6.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
33.0%	1	`x`
33.0%	1	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`
33.0%	1	`z`
33.0%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch11.0ms (0.2%)

Memory

-36.7MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	4.899407613365156e-303
0.0ms	-2.0190057124219188e-283	0.0

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	4.899407613365156e-303
0.0ms	-2.0190057124219188e-283	0.0

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch25.0ms (0.4%)

Memory

34.3MiB live, 34.3MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
12.0ms	6.591889355870521e-136	2.4274256005132994e-127
9.0ms	-8.47652945188587e+23	-8.750536759847779e+21
2.0ms	-5.611614759252237e+104	-5.3745615675518973e+104

Samples

13.0ms

272×

valid

Compiler

Compiled 359 to 221 computations (38.4% saved)

Precisions

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

ival-div: 4.0ms (59.3% of total)

ival-sub: 1.0ms (14.8% of total)

ival-add: 1.0ms (14.8% 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

-25.5MiB live, 20.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	34106.94835086343	7361799.261541558
27.0ms	-2.2567619522008625e-31	-2.9831594027616695e-32

Samples

10.0ms

208×

valid

Compiler

Compiled 275 to 183 computations (33.5% saved)

Precisions

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

ival-div: 3.0ms (57% of total)

ival-sub: 1.0ms (19% of total)

ival-add: 1.0ms (19% of total)

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

exact: 0.0ms (0% of total)

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

bsearch54.0ms (0.8%)

Memory

24.7MiB live, 60.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
7.0ms	4.4510629770579467e-69	1.1375512040496462e-68
30.0ms	9.427090327055196e-169	9.083525166891194e-168
13.0ms	-2.778689287580005e+32	-9.61702829127261e+21

Samples

38.0ms

336×

valid

Compiler

Compiled 490 to 286 computations (41.6% saved)

Precisions

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

ival-add: 24.0ms (78.9% of total)

ival-div: 5.0ms (16.4% of total)

ival-sub: 2.0ms (6.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch29.0ms (0.4%)

Memory

-6.2MiB live, 64.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.8747785888133134e-39	3.95647409070275e-34
12.0ms	-2.6405653071767167e+124	-1.3118686238951292e+122

Samples

18.0ms

256×

valid

Compiler

Compiled 255 to 174 computations (31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sub: 4.0ms (43.5% of total)

ival-div: 3.0ms (32.6% of total)

ival-add: 2.0ms (21.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify16.0ms (0.2%)

Memory

-29.8MiB live, 21.4MiB allocated

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative_binary64`
34×	`+-commutative_binary64`
26×	`sub-neg_binary64`
24×	`neg-sub0_binary64`
24×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	85	417
1	107	416
2	131	416
3	164	416
4	181	416
5	187	416
6	189	416

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -8371160993642713/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (*.f64 (-.f64 (neg.f64 x) z) z) (/.f64 #s(literal 1 binary64) y) (neg.f64 z))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -8371160993642713/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 y #s(literal -550000000000000016967964862267240353891007260694122489348638758544785586407041076359783784210567195000832 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (if (<=.f64 y #s(literal -10000000000000000000000 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 y (/.f64 z (-.f64 z y)))) (if (<=.f64 y #s(literal 5853278531842485/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)))))
(if (<=.f64 z #s(literal -35681192317649/178405961588244985132285746181186892047843328 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 z #s(literal 850000 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 x #s(literal -15000000000000000000000 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (* (/ x (- z y)) z)) (.f64 (/.f64 z (-.f64 z y)) x))) (if (<=.f64 x #s(literal 597530241918863/66392249102095887336198525819058578416199139715878990399930517275050444982606530342395312783153660708611166185780812626918322417206588404926189997345823418992978908854424152378966016 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 y (/.f64 z (-.f64 z y)))) (if (<=.f64 x #s(literal 1068467890724151/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) #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)) x))))))
(if (<=.f64 y #s(literal -134999999999999991853409013921797319449589074698639665563625672822486607097929384393804743005397560200600706512896894435328 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 1646235444289529/1496577676626844588240573268701473812127674924007424 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 -8371160993642713/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (*.f64 (-.f64 (neg.f64 x) z) z) (/.f64 #s(literal 1 binary64) y) (neg.f64 z))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -8371160993642713/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896 binary64)) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (*.f64 (-.f64 (neg.f64 x) z) z) (/.f64 #s(literal 1 binary64) y) (neg.f64 z))) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -8371160993642713/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -8371160993642713/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896 binary64)) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (*.f64 (/.f64 (neg.f64 x) y) z) z)) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 y #s(literal -550000000000000016967964862267240353891007260694122489348638758544785586407041076359783784210567195000832 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (if (<=.f64 y #s(literal -10000000000000000000000 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 y (/.f64 z (-.f64 z y)))) (if (<=.f64 y #s(literal 5853278531842485/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)))))
(if (<=.f64 y #s(literal -550000000000000016967964862267240353891007260694122489348638758544785586407041076359783784210567195000832 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (if (<=.f64 y #s(literal -10000000000000000000000 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (/.f64 z (-.f64 z y)) y)) (if (<=.f64 y #s(literal 5853278531842485/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)))))
(if (<=.f64 z #s(literal -35681192317649/178405961588244985132285746181186892047843328 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 z #s(literal 850000 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 x #s(literal -15000000000000000000000 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (* (/ x (- z y)) z)) (.f64 (/.f64 z (-.f64 z y)) x))) (if (<=.f64 x #s(literal 597530241918863/66392249102095887336198525819058578416199139715878990399930517275050444982606530342395312783153660708611166185780812626918322417206588404926189997345823418992978908854424152378966016 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 y (/.f64 z (-.f64 z y)))) (if (<=.f64 x #s(literal 1068467890724151/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) #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)) x))))))
(if (<=.f64 x #s(literal -15000000000000000000000 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (* (/ x (- z y)) z)) (.f64 (/.f64 z (-.f64 z y)) x))) (if (<=.f64 x #s(literal 597530241918863/66392249102095887336198525819058578416199139715878990399930517275050444982606530342395312783153660708611166185780812626918322417206588404926189997345823418992978908854424152378966016 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (/.f64 z (-.f64 z y)) y)) (if (<=.f64 x #s(literal 1068467890724151/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) #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)) x))))))
(if (<=.f64 y #s(literal -134999999999999991853409013921797319449589074698639665563625672822486607097929384393804743005397560200600706512896894435328 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 1646235444289529/1496577676626844588240573268701473812127674924007424 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))

soundness887.0ms (13.4%)

Memory

56.8MiB live, 663.1MiB allocated

Rules

17 244×	`lower-fma.f64`
17 244×	`lower-fma.f32`
9 336×	`lower-fma.f64`
9 336×	`lower-fma.f32`
4 988×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	167
0	43	165
1	182	161
2	1594	161
0	8483	161
0	181	958
1	589	915
2	1844	852
3	7144	833
0	8245	790
0	658	7102
1	2142	6581
2	6340	6146
0	8440	5850

Stop Event

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

Compiler

Compiled 410 to 174 computations (57.6% saved)

preprocess206.0ms (3.1%)

Memory: -28.0MiB live, 223.8MiB allocated
Compiler: Compiled 568 to 182 computations (68% 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	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

start0.0ms (0%)

analyze77.0ms (1.2%)

sample986.0ms (14.9%)

explain105.0ms (1.6%)

preprocess134.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify32.0ms (0.5%)

localize29.0ms (0.4%)

series12.0ms (0.2%)

simplify180.0ms (2.7%)

rewrite134.0ms (2%)

eval48.0ms (0.7%)

prune58.0ms (0.9%)

simplify198.0ms (3%)

localize74.0ms (1.1%)

series76.0ms (1.2%)

simplify212.0ms (3.2%)

rewrite236.0ms (3.6%)

eval199.0ms (3%)

prune152.0ms (2.3%)

simplify154.0ms (2.3%)

localize99.0ms (1.5%)

series64.0ms (1%)

simplify210.0ms (3.2%)

rewrite178.0ms (2.7%)

eval145.0ms (2.2%)

prune135.0ms (2%)

simplify246.0ms (3.7%)

localize90.0ms (1.4%)

series56.0ms (0.8%)

simplify308.0ms (4.7%)

rewrite196.0ms (3%)

eval165.0ms (2.5%)

prune154.0ms (2.3%)

regimes57.0ms (0.9%)

regimes36.0ms (0.5%)

regimes50.0ms (0.7%)

regimes12.0ms (0.2%)

regimes29.0ms (0.4%)

regimes17.0ms (0.3%)

regimes6.0ms (0.1%)

bsearch11.0ms (0.2%)

bsearch0.0ms (0%)

bsearch25.0ms (0.4%)

bsearch38.0ms (0.6%)

bsearch54.0ms (0.8%)

bsearch29.0ms (0.4%)

simplify16.0ms (0.2%)

soundness887.0ms (13.4%)

preprocess206.0ms (3.1%)

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