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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze97.0ms (1.5%)

Memory

-4.1MiB live, 70.3MiB 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)

sample1.0s (16.2%)

Memory

13.3MiB live, 925.0MiB allocated

Samples

631.0ms	8 254×	0	valid
0.0ms	1×	3	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 317.0ms

ival-div: 126.0ms (39.8% of total)

ival-add: 116.0ms (36.6% of total)

ival-sub: 59.0ms (18.6% of total)

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

exact: 5.0ms (1.6% of total)

ival-assert: 4.0ms (1.3% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain86.0ms (1.4%)

Memory

-17.8MiB live, 220.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
28	-	-	`(/.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	28	0
↳	`(/.f64 y z)`	overflow	28
↳	`(-.f64 #s(literal 1 binary64) (/.f64 y z))`	overflow	28

Confusion

	Predicted +	Predicted -
+	28	0
-	0	228

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	28	0	0
-	0	0	228

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	228
1	28

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

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

ival-div: 7.0ms (52.8% of total)

ival-add: 3.0ms (22.6% of total)

ival-sub: 2.0ms (15.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess127.0ms (2%)

Memory

14.9MiB live, 96.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.6%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify81.0ms (1.3%)

Memory

-12.3MiB live, 27.2MiB 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

localize21.0ms (0.3%)

Memory

20.7MiB live, 59.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y z)
accuracy	0	(+.f64 x y)
accuracy	0.0078125	(-.f64 #s(literal 1 binary64) (/.f64 y z))
accuracy	6.6619674150773225	(/.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: 7.0ms

ival-div: 3.0ms (40.3% of total)

ival-add: 2.0ms (26.8% of total)

ival-sub: 1.0ms (13.4% of total)

ival-true: 1.0ms (13.4% of total)

exact: 0.0ms (0% of total)

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

series20.0ms (0.3%)

Memory

-38.6MiB live, 44.3MiB 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
7.0ms	z	@	inf	((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z))
3.0ms	z	@	0	((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z))
2.0ms	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	y	@	-inf	((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z))

simplify207.0ms (3.3%)

Memory

27.5MiB live, 308.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	958
1	589	915
2	1844	852
3	7144	833
0	8245	790

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 101

Calls

Call 1

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

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

rewrite124.0ms (2%)

Memory

-7.1MiB live, 225.8MiB 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
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eval51.0ms (0.8%)

Memory: 3.1MiB live, 120.5MiB allocated
Compiler: Compiled 8 965 to 1 012 computations (88.7% saved)

prune14.0ms (0.2%)

Memory

8.9MiB live, 47.8MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	426	11	437
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	426	12	438

Accuracy

100.0%

Counts

438 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.6%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
▶	89.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))
	72.2%	(.f64 (+.f64 y x) (/.f64 (-.f64 x y) (.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
	47.3%	#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)))
	42.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
▶	49.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
	43.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (/.f64 (.f64 z (+.f64 (+.f64 (/.f64 (.f64 z (+.f64 z x)) y) x) z)) (neg.f64 y)) z))
▶	50.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x))
	48.1%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x)))
	51.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
▶	47.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
▶	34.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))

Compiler

Compiled 227 to 186 computations (18.1% saved)

simplify164.0ms (2.6%)

Memory

2.2MiB live, 158.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 z y)
cost-diff	0	(/.f64 (-.f64 z y) z)
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
cost-diff	384	(/.f64 x (/.f64 (-.f64 z y) z))
cost-diff	0	(/.f64 y z)
cost-diff	0	(fma.f64 (/.f64 y z) (+.f64 y x) y)
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x))
cost-diff	64	(+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)
cost-diff	0	(/.f64 x y)
cost-diff	0	(-.f64 #s(literal -1 binary64) (/.f64 x y))
cost-diff	0	(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
cost-diff	0	(/.f64 y z)
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 y z))
cost-diff	384	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))

Rules

6 174×	`lower-fma.f32`
6 172×	`lower-fma.f64`
2 250×	`lower-*.f32`
2 248×	`lower-*.f64`
1 706×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	168
0	42	168
1	75	166
2	158	164
3	285	164
4	548	164
5	1308	164
6	2767	164
7	4653	164
8	6856	164
9	7457	164
10	7947	164
0	8029	164

Stop Event

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

Calls

Call 1

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

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

localize77.0ms (1.2%)

Memory

29.6MiB live, 138.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z y)
accuracy	0.01171875	(/.f64 (-.f64 z y) z)
accuracy	3.172619108718387	(/.f64 x (/.f64 (-.f64 z y) z))
accuracy	31.042787956855584	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
accuracy	0	(+.f64 y x)
accuracy	0.0078125	(+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)
accuracy	1.0408030040468461	(fma.f64 (/.f64 y z) (+.f64 y x) y)
accuracy	31.719438971586406	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x))
accuracy	0	(/.f64 x y)
accuracy	0	(-.f64 #s(literal -1 binary64) (/.f64 x y))
accuracy	3.149608336410071	(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
accuracy	32.32349332408981	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
accuracy	0	(neg.f64 z)
accuracy	41.83449516701654	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
accuracy	0	(+.f64 y x)
accuracy	0.0078125	(-.f64 #s(literal 1 binary64) (/.f64 y z))
accuracy	0.1875	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))
accuracy	6.67878178345487	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))

Samples

54.0ms

256×

valid

Compiler

Compiled 142 to 24 computations (83.1% saved)

Precisions

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

ival-div: 11.0ms (36% of total)

ival-add: 11.0ms (36% of total)

ival-sub: 3.0ms (9.8% of total)

ival-mult: 3.0ms (9.8% of total)

ival-neg: 1.0ms (3.3% of total)

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

exact: 0.0ms (0% of total)

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

series55.0ms (0.9%)

Memory

-17.1MiB live, 103.0MiB allocated

Counts

18 → 540

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (- 1 (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (+ (* (/ y z) (+ y x)) y) x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y z) (+ y x)) y) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x))
5.0ms	y	@	-inf	((/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (- 1 (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (+ (* (/ y z) (+ y x)) y) x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y z) (+ y x)) y) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x))
4.0ms	z	@	0	((/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (- 1 (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (+ (* (/ y z) (+ y x)) y) x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y z) (+ y x)) y) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x))
3.0ms	y	@	inf	((/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (- 1 (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (+ (* (/ y z) (+ y x)) y) x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y z) (+ y x)) y) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x))
3.0ms	x	@	-inf	((/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (- 1 (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (+ (* (/ y z) (+ y x)) y) x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y z) (+ y x)) y) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x))

simplify193.0ms (3.1%)

Memory

24.5MiB live, 248.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 340×	`lower-fma.f64`
11 340×	`lower-fma.f32`
5 002×	`lower-*.f64`
5 002×	`lower-*.f32`
3 558×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	507	6529
1	1645	6223
2	5075	5954
0	8538	5688

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 520

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

rewrite221.0ms (3.5%)

Memory

-23.9MiB live, 239.8MiB allocated

Rules

4 988×	`lower-*.f32`
4 986×	`lower-*.f64`
4 698×	`lower-/.f32`
4 686×	`lower-/.f64`
2 602×	`lower--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	147
0	42	145
1	193	143
2	1744	143
0	8141	143

Stop Event

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

Counts

18 → 695

Calls

Call 1

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

Outputs
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eval227.0ms (3.6%)

Memory: -5.1MiB live, 256.8MiB allocated
Compiler: Compiled 22 834 to 3 008 computations (86.8% saved)

prune40.0ms (0.6%)

Memory

7.3MiB live, 93.1MiB allocated

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	1 309	11	1 320
Fresh	4	2	6
Picked	2	3	5
Done	1	0	1
Total	1 316	16	1 332

Accuracy

100.0%

Counts

1 332 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (/.f64 (/.f64 (-.f64 z y) z) x)))
▶	89.6%	(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
▶	47.3%	#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)))
	40.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y)))
✓	49.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
▶	51.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
	49.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x))
▶	45.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z))
✓	47.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
	15.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
✓	34.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
▶	32.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
	15.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y))))
	17.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y)))
	2.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))))
	41.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (- -1 (/ x y)) z) (*.f64 (neg.f64 x) (+.f64 (/.f64 z x) (/.f64 z y)))))

Compiler

Compiled 237 to 216 computations (8.9% saved)

simplify300.0ms (4.8%)

Memory

-10.7MiB live, 65.6MiB 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 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 x z)
cost-diff	0	(fma.f64 (/.f64 x z) y x)
cost-diff	0	#s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
cost-diff	0	(+.f64 y x)
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
cost-diff	0	(+.f64 x y)
cost-diff	0	(-.f64 z y)
cost-diff	0	(/.f64 z (-.f64 z y))
cost-diff	0	(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))

Rules

2 664×	`lower-fma.f32`
2 660×	`lower-fma.f64`
1 344×	`lower-*.f32`
1 340×	`lower-*.f64`
1 266×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	170
0	46	170
1	83	170
2	151	170
3	310	168
4	635	168
5	1486	168
6	3399	168
7	4664	168
8	4912	168
9	5101	168
10	5129	168
11	5159	168
12	5551	168
13	5813	168
14	5827	168
15	5827	168
16	5871	168
17	5977	168
18	6066	168
19	6084	168
20	6134	168
21	6138	168
22	6138	168
23	6138	168
24	6138	168
0	6138	168

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize88.0ms (1.4%)

Memory

-12.3MiB live, 91.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 z)
accuracy	0	(neg.f64 x)
accuracy	1.3244253838457685	(fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))
accuracy	32.47203745827916	#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	0.01171875	(/.f64 x (-.f64 z y))
accuracy	10.625955781844207	(*.f64 (/.f64 x (-.f64 z y)) z)
accuracy	31.042787956855584	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z))
accuracy	0	(/.f64 x z)
accuracy	4.994811578697847	(fma.f64 (/.f64 x z) y x)
accuracy	31.042787956855584	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
accuracy	31.402607275242804	#s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))
accuracy	0	(+.f64 y x)
accuracy	31.382009191971438	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
accuracy	0	(-.f64 z y)
accuracy	0	(+.f64 x y)
accuracy	0.00390625	(/.f64 z (-.f64 z y))
accuracy	6.638529915077324	(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))

Samples

73.0ms

256×

valid

Compiler

Compiled 129 to 27 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-add: 29.0ms (50.1% of total)

ival-div: 16.0ms (27.6% of total)

ival-mult: 6.0ms (10.4% of total)

ival-sub: 4.0ms (6.9% of total)

ival-neg: 2.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

series43.0ms (0.7%)

Memory

15.2MiB live, 52.4MiB allocated

Counts

19 → 552

Calls

Call 1

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

Outputs
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) (patch (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) (patch (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) (patch (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) (patch (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z y)) (taylor 0 z) (#s(alt (/.f64 z (-.f64 z y)) (patch (/.f64 z (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) (taylor 0 z) (#s(alt (/.f64 z (-.f64 z y)) (patch (/.f64 z (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 z) (#s(alt (/.f64 z (-.f64 z y)) (patch (/.f64 z (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* z (- (* z (- (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 z) (#s(alt (/.f64 z (-.f64 z y)) (patch (/.f64 z (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 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>) () ())) ())
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#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
12.0ms	x	@	0	((* (/ z (- z y)) (+ x y)) (/ z (- z y)) (- z y) (+ x y) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ x z) y) x) (/ x z) (/ (+ x y) (- 1 (/ y z))) (* (/ x (- z y)) z) (/ x (- z y)) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (+ x y) (- 1 (/ y z))) (/ z y) (- (neg x) z) (neg x) (neg z))
3.0ms	x	@	-inf	((* (/ z (- z y)) (+ x y)) (/ z (- z y)) (- z y) (+ x y) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ x z) y) x) (/ x z) (/ (+ x y) (- 1 (/ y z))) (* (/ x (- z y)) z) (/ x (- z y)) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (+ x y) (- 1 (/ y z))) (/ z y) (- (neg x) z) (neg x) (neg z))
3.0ms	x	@	inf	((* (/ z (- z y)) (+ x y)) (/ z (- z y)) (- z y) (+ x y) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ x z) y) x) (/ x z) (/ (+ x y) (- 1 (/ y z))) (* (/ x (- z y)) z) (/ x (- z y)) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (+ x y) (- 1 (/ y z))) (/ z y) (- (neg x) z) (neg x) (neg z))
2.0ms	z	@	-inf	((* (/ z (- z y)) (+ x y)) (/ z (- z y)) (- z y) (+ x y) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ x z) y) x) (/ x z) (/ (+ x y) (- 1 (/ y z))) (* (/ x (- z y)) z) (/ x (- z y)) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (+ x y) (- 1 (/ y z))) (/ z y) (- (neg x) z) (neg x) (neg z))
2.0ms	z	@	0	((* (/ z (- z y)) (+ x y)) (/ z (- z y)) (- z y) (+ x y) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ x z) y) x) (/ x z) (/ (+ x y) (- 1 (/ y z))) (* (/ x (- z y)) z) (/ x (- z y)) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (+ x y) (- 1 (/ y z))) (/ z y) (- (neg x) z) (neg x) (neg z))

simplify185.0ms (3%)

Memory

6.3MiB live, 243.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 294×	`lower-fma.f64`
10 294×	`lower-fma.f32`
4 852×	`lower-*.f64`
4 852×	`lower-*.f32`
2 706×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	517	6504
1	1659	6049
2	4851	5776
0	8264	5470

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 523

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

rewrite190.0ms (3%)

Memory

-33.8MiB live, 287.8MiB allocated

Rules

5 660×	`lower-/.f32`
5 652×	`lower-/.f64`
4 746×	`lower-*.f32`
4 742×	`lower-*.f64`
3 752×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	153
0	46	153
1	192	153
2	1696	153
0	8433	153

Stop Event

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

Counts

19 → 1 022

Calls

Call 1

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

Outputs
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eval276.0ms (4.4%)

Memory: 27.4MiB live, 366.3MiB allocated
Compiler: Compiled 31 638 to 3 720 computations (88.2% saved)

prune40.0ms (0.6%)

Memory

28.3MiB live, 105.7MiB allocated

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	1 588	5	1 593
Fresh	1	7	8
Picked	3	2	5
Done	0	3	3
Total	1 592	17	1 609

Accuracy

100.0%

Counts

1 609 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (/.f64 (/.f64 (-.f64 z y) z) x)))
	39.1%	(*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) (+.f64 x y))
	40.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y)))
✓	49.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
✓	51.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
▶	49.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x))
✓	45.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z))
▶	15.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z))
✓	47.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
✓	34.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
▶	35.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x)))
	15.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y))))
	17.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y)))
▶	2.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))))
▶	34.3%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z))))
	41.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (- -1 (/ x y)) z) (*.f64 (neg.f64 x) (+.f64 (/.f64 z x) (/.f64 z y)))))
	42.0%	#s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) y))

Compiler

Compiled 237 to 218 computations (8% saved)

simplify261.0ms (4.2%)

Memory

-21.5MiB live, 61.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

5 240×	`lower-fma.f32`
5 236×	`lower-fma.f64`
2 124×	`lower-*.f32`
2 118×	`lower-*.f64`
1 602×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	254
0	57	252
1	112	248
2	213	248
3	445	246
4	946	246
5	1973	246
6	4080	246
7	5251	246
8	5791	246
9	6043	246
10	6056	246
11	6056	246
12	6620	246
13	7119	246
14	7419	246
15	7625	246
16	7721	246
17	7823	246
0	8105	246

Stop Event

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

Calls

Call 1

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

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

localize106.0ms (1.7%)

Memory

9.3MiB live, 135.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 (fma.f64 z (/.f64 z y) z))
accuracy	0.08203125	(fma.f64 z (/.f64 z y) z)
accuracy	20.939437900577563	#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z)))
accuracy	32.47203745827916	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z))))
accuracy	0.01171875	(/.f64 x #s(approx (- z y) (neg.f64 y)))
accuracy	10.625955781844207	(*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z)
accuracy	31.042787956855584	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z))
accuracy	32.23374124433653	#s(approx (- z y) (neg.f64 y))
accuracy	0	(/.f64 y z)
accuracy	2.1761748723843946	(fma.f64 (/.f64 y z) x x)
accuracy	31.042787956855584	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x)))
accuracy	31.402607275242804	#s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x))
accuracy	0	(/.f64 y z)
accuracy	0.13671875	(*.f64 y (/.f64 y z))
accuracy	31.719438971586406	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))))
accuracy	39.34298231721162	#s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))
accuracy	0	(-.f64 z y)
accuracy	0.00390625	(/.f64 z (-.f64 z y))
accuracy	3.1335566087183873	(*.f64 (/.f64 z (-.f64 z y)) x)
accuracy	31.042787956855584	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x))

Samples

62.0ms

256×

valid

Compiler

Compiled 157 to 34 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-div: 19.0ms (41.4% of total)

ival-mult: 10.0ms (21.8% of total)

ival-add: 8.0ms (17.4% of total)

ival-sub: 4.0ms (8.7% of total)

ival-neg: 4.0ms (8.7% of total)

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

exact: 0.0ms (0% of total)

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

series52.0ms (0.8%)

Memory

-14.2MiB live, 57.7MiB allocated

Counts

19 → 600

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	z	@	-inf	((/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) x) (/ z (- z y)) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (+ (* (/ y z) (+ y x)) y) x) (* y (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ y z) x) x) (/ (+ x y) (- 1 (/ y z))) (* (/ x (- z y)) z) (/ x (- z y)) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg (+ (* z (/ z y)) z)) (+ (* z (/ z y)) z))
2.0ms	x	@	-inf	((/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) x) (/ z (- z y)) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (+ (* (/ y z) (+ y x)) y) x) (* y (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ y z) x) x) (/ (+ x y) (- 1 (/ y z))) (* (/ x (- z y)) z) (/ x (- z y)) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg (+ (* z (/ z y)) z)) (+ (* z (/ z y)) z))
2.0ms	z	@	0	((/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) x) (/ z (- z y)) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (+ (* (/ y z) (+ y x)) y) x) (* y (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ y z) x) x) (/ (+ x y) (- 1 (/ y z))) (* (/ x (- z y)) z) (/ x (- z y)) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg (+ (* z (/ z y)) z)) (+ (* z (/ z y)) z))
2.0ms	y	@	-inf	((/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) x) (/ z (- z y)) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (+ (* (/ y z) (+ y x)) y) x) (* y (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ y z) x) x) (/ (+ x y) (- 1 (/ y z))) (* (/ x (- z y)) z) (/ x (- z y)) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg (+ (* z (/ z y)) z)) (+ (* z (/ z y)) z))
2.0ms	x	@	inf	((/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) x) (/ z (- z y)) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (+ (* (/ y z) (+ y x)) y) x) (* y (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ y z) x) x) (/ (+ x y) (- 1 (/ y z))) (* (/ x (- z y)) z) (/ x (- z y)) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg (+ (* z (/ z y)) z)) (+ (* z (/ z y)) z))

simplify195.0ms (3.1%)

Memory

24.9MiB live, 306.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 132×	`lower-fma.f64`
10 132×	`lower-fma.f32`
4 692×	`lower-*.f64`
4 692×	`lower-*.f32`
2 636×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	533	7526
1	1712	7034
2	5040	6732
0	8127	6392

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 573

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

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

rewrite221.0ms (3.5%)

Memory

-12.4MiB live, 215.5MiB allocated

Rules

5 750×	`lower-*.f32`
5 744×	`lower-*.f64`
4 850×	`lower-/.f32`
4 842×	`lower-/.f64`
2 642×	`lower--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	233
0	57	231
1	250	227
2	2200	227
0	9096	227

Stop Event

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

Counts

19 → 334

Calls

Call 1

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

Outputs
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eval148.0ms (2.4%)

Memory: 13.5MiB live, 226.3MiB allocated
Compiler: Compiled 13 994 to 2 066 computations (85.2% saved)

prune52.0ms (0.8%)

Memory

0.5MiB live, 75.1MiB allocated

Pruning

18 alts after pruning (8 fresh and 10 done)

	Pruned	Kept	Total
New	972	4	976
Fresh	3	4	7
Picked	0	5	5
Done	0	5	5
Total	975	18	993

Accuracy

100.0%

Counts

993 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (/.f64 (/.f64 (-.f64 z y) z) x)))
	39.1%	(*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) (+.f64 x y))
	40.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) (-.f64 z y)))
	15.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) #s(approx (- z y) (neg.f64 y))))
✓	49.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
✓	51.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
✓	49.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x))
	15.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x))
✓	45.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z))
✓	15.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z))
✓	47.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
✓	34.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
✓	35.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x)))
	17.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 (/.f64 y z) y y)))
✓	2.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))))
✓	34.3%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z))))
	41.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (- -1 (/ x y)) z) (*.f64 (neg.f64 x) (+.f64 (/.f64 z x) (/.f64 z y)))))
	42.0%	#s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) y))

Compiler

Compiled 428 to 242 computations (43.5% saved)

regimes66.0ms (1%)

Memory

-12.5MiB live, 69.4MiB 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))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 (/.f64 y z) y y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) #s(approx (- z y) (neg.f64 y))))
#s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) y))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z))))
#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 z (-.f64 z y)) x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) (-.f64 z y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x)))
(*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) (+.f64 x y))
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (- -1 (/ x y)) z) (*.f64 (neg.f64 x) (+.f64 (/.f64 z x) (/.f64 z y)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (/.f64 (/.f64 (-.f64 z y) z) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))
(.f64 (+.f64 y x) (/.f64 (-.f64 x y) (.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (/.f64 (.f64 z (+.f64 (+.f64 (/.f64 (.f64 z (+.f64 z x)) y) x) z)) (neg.f64 y)) z))

Outputs

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

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

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

Calls

4 calls:

32.0ms	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
14.0ms	x
9.0ms	z
9.0ms	y

Results

Accuracy	Segments	Branch
89.6%	1	`x`
95.9%	3	`y`
93.3%	3	`z`
99.9%	3	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes10.0ms (0.2%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

31 → 3

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

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

Results

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes31.0ms (0.5%)

Memory

-13.8MiB live, 59.5MiB allocated

Counts

21 → 3

Calls

Call 1

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

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 x))

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

Calls

4 calls:

9.0ms	x
8.0ms	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
6.0ms	z
6.0ms	y

Results

Accuracy	Segments	Branch
70.8%	3	`x`
69.8%	3	`z`
83.0%	3	`y`
71.0%	5	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes5.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB 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))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 (/.f64 y z) y y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) #s(approx (- z y) (neg.f64 y))))
#s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) y))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z))))

Outputs

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

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
74.8%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

13 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
74.6%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes42.0ms (0.7%)

Memory

-28.2MiB live, 10.3MiB 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:

38.0ms	y
1.0ms	z
1.0ms	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
1.0ms	x

Results

Accuracy	Segments	Branch
34.6%	1	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`
34.6%	1	`z`
34.6%	1	`x`
34.6%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	9.510900286250643e-292
0.0ms	-1.2560639890392637e-290	-0.0

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	9.510900286250643e-292
0.0ms	-1.2560639890392637e-290	-0.0

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch20.0ms (0.3%)

Memory

14.3MiB live, 14.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	1.7158689967637643e+48	2.8639720454151394e+48
12.0ms	-7.236922449992992e-62	-1.419978769510883e-68

Samples

10.0ms

208×

valid

Compiler

Compiled 168 to 209 computations (-24.4% saved)

Precisions

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

ival-div: 3.0ms (57.1% 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)

bsearch17.0ms (0.3%)

Memory

12.0MiB live, 12.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	1.7158689967637643e+48	2.8639720454151394e+48
13.0ms	-4.7373795159761754e+35	-5.942129534380056e+25

Samples

8.0ms

176×

valid

Compiler

Compiled 170 to 212 computations (-24.7% saved)

Precisions

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

ival-div: 2.0ms (45.6% of total)

ival-sub: 1.0ms (22.8% of total)

ival-add: 1.0ms (22.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.7158689967637643e+48	2.8639720454151394e+48
1.0ms	-4.7373795159761754e+35	-5.942129534380056e+25

Compiler

Compiled 110 to 182 computations (-65.5% saved)

simplify45.0ms (0.7%)

Memory

-23.1MiB live, 59.5MiB allocated

Algorithm

1×	egg-herbie

Rules

46×	`+-commutative-binary64-+.f64`
36×	`-commutative-binary64-.f64`
36×	`sub-neg-binary64-neg.f64-+.f64--.f64`
28×	`neg-sub0-binary64--.f64-neg.f64`
28×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	303
1	90	303
2	115	303
3	138	303
4	152	303
5	164	303
6	174	303
7	184	303
8	191	303
9	196	303
10	197	303

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -3511119404027961/351111940402796075728379920075981393284761128699669252487168127261196632432619068618571244770327218791250222421623815151677323767215657465806342637967722899175327916845440400930277772658683777577056802640791026892262013051450122815378736544025053197584668966180832613749896964723593195907881555331297312768 binary64)) (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (/.f64 (.f64 z (+.f64 (+.f64 (/.f64 (.f64 z (+.f64 z x)) y) x) z)) (neg.f64 y)) z)) (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -3511119404027961/351111940402796075728379920075981393284761128699669252487168127261196632432619068618571244770327218791250222421623815151677323767215657465806342637967722899175327916845440400930277772658683777577056802640791026892262013051450122815378736544025053197584668966180832613749896964723593195907881555331297312768 binary64)) (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))))
(if (<=.f64 y #s(literal -7114265962740707/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (if (<=.f64 y #s(literal 2599999999999999951739915087984749730470513606656 binary64)) #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))))
(if (<=.f64 y #s(literal -359999999999999968877868109266944 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z)))) (if (<=.f64 y #s(literal 2750000000000000080011249166656201877349128470528 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))))
(if (<=.f64 y #s(literal -359999999999999968877868109266944 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 2750000000000000080011249166656201877349128470528 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 -3511119404027961/351111940402796075728379920075981393284761128699669252487168127261196632432619068618571244770327218791250222421623815151677323767215657465806342637967722899175327916845440400930277772658683777577056802640791026892262013051450122815378736544025053197584668966180832613749896964723593195907881555331297312768 binary64)) (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (/.f64 (.f64 z (+.f64 (+.f64 (/.f64 (.f64 z (+.f64 z x)) y) x) z)) (neg.f64 y)) z)) (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -3511119404027961/351111940402796075728379920075981393284761128699669252487168127261196632432619068618571244770327218791250222421623815151677323767215657465806342637967722899175327916845440400930277772658683777577056802640791026892262013051450122815378736544025053197584668966180832613749896964723593195907881555331297312768 binary64)) (.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) (if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (+.f64 (/.f64 (.f64 (+.f64 (+.f64 (/.f64 (.f64 (+.f64 z x) z) y) x) z) z) y) z))) (.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -3511119404027961/351111940402796075728379920075981393284761128699669252487168127261196632432619068618571244770327218791250222421623815151677323767215657465806342637967722899175327916845440400930277772658683777577056802640791026892262013051450122815378736544025053197584668966180832613749896964723593195907881555331297312768 binary64)) (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -3511119404027961/351111940402796075728379920075981393284761128699669252487168127261196632432619068618571244770327218791250222421623815151677323767215657465806342637967722899175327916845440400930277772658683777577056802640791026892262013051450122815378736544025053197584668966180832613749896964723593195907881555331297312768 binary64)) (.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) (if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))))
(if (<=.f64 y #s(literal -7114265962740707/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (if (<=.f64 y #s(literal 2599999999999999951739915087984749730470513606656 binary64)) #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))))
(if (<=.f64 y #s(literal -359999999999999968877868109266944 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z)))) (if (<=.f64 y #s(literal 2750000000000000080011249166656201877349128470528 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))))
(if (<=.f64 y #s(literal -359999999999999968877868109266944 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 2750000000000000080011249166656201877349128470528 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))

soundness932.0ms (14.9%)

Memory

0.9MiB live, 641.0MiB allocated

Rules

17 244×	`lower-fma.f64`
17 244×	`lower-fma.f32`
10 294×	`lower-fma.f64`
10 294×	`lower-fma.f32`
4 988×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	958
1	589	915
2	1844	852
3	7144	833
0	8245	790
0	517	6504
1	1659	6049
2	4851	5776
0	8264	5470
0	8	20
0	12	20
1	56	20
2	432	20
3	7705	20
0	8025	20
0	27	147
0	42	145
1	193	143
2	1744	143
0	8141	143

Stop Event

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

Compiler

Compiled 343 to 161 computations (53.1% saved)

preprocess111.0ms (1.8%)

Memory: -3.1MiB live, 204.6MiB allocated
Compiler: Compiled 452 to 162 computations (64.2% 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	66	303
1	90	303
2	115	303
3	138	303
4	152	303
5	164	303
6	174	303
7	184	303
8	191	303
9	196	303
10	197	303

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	66	303
1	90	303
2	115	303
3	138	303
4	152	303
5	164	303
6	174	303
7	184	303
8	191	303
9	196	303
10	197	303

start0.0ms (0%)

analyze97.0ms (1.5%)

sample1.0s (16.2%)

explain86.0ms (1.4%)

preprocess127.0ms (2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify81.0ms (1.3%)

localize21.0ms (0.3%)

series20.0ms (0.3%)

simplify207.0ms (3.3%)

rewrite124.0ms (2%)

eval51.0ms (0.8%)

prune14.0ms (0.2%)

simplify164.0ms (2.6%)

localize77.0ms (1.2%)

series55.0ms (0.9%)

simplify193.0ms (3.1%)

rewrite221.0ms (3.5%)

eval227.0ms (3.6%)

prune40.0ms (0.6%)

simplify300.0ms (4.8%)

localize88.0ms (1.4%)

series43.0ms (0.7%)

simplify185.0ms (3%)

rewrite190.0ms (3%)

eval276.0ms (4.4%)

prune40.0ms (0.6%)

simplify261.0ms (4.2%)

localize106.0ms (1.7%)

series52.0ms (0.8%)

simplify195.0ms (3.1%)

rewrite221.0ms (3.5%)

eval148.0ms (2.4%)

prune52.0ms (0.8%)

regimes66.0ms (1%)

regimes10.0ms (0.2%)

regimes31.0ms (0.5%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes42.0ms (0.7%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch20.0ms (0.3%)

bsearch17.0ms (0.3%)

bsearch2.0ms (0%)

simplify45.0ms (0.7%)

soundness932.0ms (14.9%)

preprocess111.0ms (1.8%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	66	303
1	90	303
2	115	303
3	138	303
4	152	303
5	164	303
6	174	303
7	184	303
8	191	303
9	196	303
10	197	303