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

analyze90.0ms (1.5%)

Memory

-12.9MiB live, 144.8MiB 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)

sample708.0ms (11.5%)

Memory

5.3MiB live, 1 219.8MiB allocated

Samples

426.0ms	8 252×	0	valid
0.0ms	3×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 223.0ms

ival-div: 117.0ms (52.4% of total)

ival-add: 52.0ms (23.3% of total)

ival-sub: 39.0ms (17.5% of total)

ival-true: 7.0ms (3.1% of total)

exact: 5.0ms (2.2% of total)

ival-assert: 4.0ms (1.8% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain78.0ms (1.3%)

Memory

19.3MiB live, 182.8MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	32	0
-	0	224

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	224
1	32

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms

512×

valid

Compiler

Compiled 85 to 36 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 7.0ms (51.4% of total)

ival-sub: 3.0ms (22% of total)

ival-add: 3.0ms (22% of total)

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

exact: 0.0ms (0% of total)

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

preprocess188.0ms (3.1%)

Memory

-32.0MiB live, 69.5MiB allocated

Algorithm

1×	egg-herbie

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)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.1%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify31.0ms (0.5%)

Memory

-5.2MiB live, 34.1MiB 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)))

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

localize24.0ms (0.4%)

Memory

7.9MiB live, 45.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y z)
accuracy	0	(+.f64 x y)
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (/.f64 y z))
accuracy	7.59614108737798	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

Samples

16.0ms

256×

valid

Compiler

Compiled 50 to 18 computations (64% saved)

Precisions

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

ival-div: 3.0ms (44.9% of total)

ival-add: 2.0ms (29.9% of total)

ival-sub: 1.0ms (15% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

-10.1MiB live, 28.3MiB 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
2.0ms	y	@	inf	((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z))
1.0ms	y	@	-inf	((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z))
1.0ms	z	@	-inf	((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z))
1.0ms	z	@	0	((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z))
1.0ms	z	@	inf	((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z))

simplify222.0ms (3.6%)

Memory

7.6MiB live, 280.9MiB allocated

Algorithm

1×	egg-herbie

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)

rewrite132.0ms (2.1%)

Memory

22.0MiB live, 217.4MiB allocated

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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eval84.0ms (1.4%)

Memory: 5.6MiB live, 167.3MiB allocated
Compiler: Compiled 8 965 to 1 012 computations (88.7% saved)

prune46.0ms (0.7%)

Memory

-11.1MiB live, 33.6MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	428	9	437
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	429	9	438

Accuracy

100.0%

Counts

438 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.0%	(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)))
	52.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)))
	43.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
▶	46.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
▶	46.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x))
	44.3%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x)))
	46.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
▶	52.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
▶	39.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))

Compiler

Compiled 144 to 130 computations (9.7% saved)

simplify270.0ms (4.4%)

Memory

2.9MiB live, 79.6MiB 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 #s(literal -1 binary64) z)
cost-diff	0	(+.f64 x y)
cost-diff	192	(fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))
cost-diff	384	(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	160
0	45	161
1	79	156
2	147	156
3	242	156
4	387	156
5	636	156
6	1588	156
7	2982	156
8	4259	156
9	4805	156
10	4992	156
11	5095	156
12	5095	156
13	5517	156
14	5764	156
15	5952	156
16	6108	156
17	6108	156
18	6108	156
19	6108	156
20	6128	156
21	6136	156
0	6136	156

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize84.0ms (1.4%)

Memory

22.2MiB live, 137.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z y)
accuracy	0.0078125	(/.f64 (-.f64 z y) z)
accuracy	2.1720974814045664	(/.f64 x (/.f64 (-.f64 z y) z))
accuracy	33.91230423003137	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
accuracy	0	(+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)
accuracy	0	(+.f64 y x)
accuracy	0.9825266232247186	(fma.f64 (/.f64 y z) (+.f64 y x) y)
accuracy	34.445506719595826	#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	3.122331364415614	(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
accuracy	29.498903408144255	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
accuracy	0	(neg.f64 z)
accuracy	38.735384633650476	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(+.f64 x y)
accuracy	0.125	(fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))
accuracy	7.59614108737798	(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)))

Samples

64.0ms

256×

valid

Compiler

Compiled 260 to 50 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-div: 17.0ms (51.7% of total)

ival-add: 6.0ms (18.3% of total)

ival-mult: 5.0ms (15.2% of total)

ival-sub: 4.0ms (12.2% of total)

ival-neg: 1.0ms (3% of total)

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

exact: 0.0ms (0% of total)

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

series56.0ms (0.9%)

Memory

-1.6MiB live, 73.8MiB allocated

Counts

19 → 540

Calls

Call 1

Inputs
#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) 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 y z) (patch (/.f64 y z) #<representation binary64>) () ())
#s(alt (/.f64 x (/.f64 (-.f64 z y) z)) (patch (/.f64 x (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())
#s(alt #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 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#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) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<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) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y z)) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ z (* -1 y)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ z (* -1 y)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ z (* -1 y)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ())
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#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (/ x y)))) (taylor 0 z) (#s(alt (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (/ x y)))) (taylor 0 z) (#s(alt (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (/ x y)))) (taylor 0 z) (#s(alt (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (/ x y)))) (taylor 0 z) (#s(alt (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* y (+ x y)) z) (taylor 0 z) (#s(alt (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) (patch (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* y (+ x y)) (* z (+ x y))) z) (taylor 0 z) (#s(alt (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) (patch (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* y (+ x y)) (* z (+ x y))) z) (taylor 0 z) (#s(alt (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) (patch (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* y (+ x y)) (* z (+ x y))) z) (taylor 0 z) (#s(alt (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) (patch (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* y (+ x y)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) y) (patch (fma.f64 (/.f64 y z) (+.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* y z) (* y (+ x y))) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) y) (patch (fma.f64 (/.f64 y z) (+.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* y z) (* y (+ x y))) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) y) (patch (fma.f64 (/.f64 y z) (+.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* y z) (* y (+ x y))) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) y) (patch (fma.f64 (/.f64 y z) (+.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor 0 z) (#s(alt (/.f64 x (/.f64 (-.f64 z y) z)) (patch (/.f64 x (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 x (/.f64 (-.f64 z y) z)) (patch (/.f64 x (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())) ())
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#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y z)) (taylor 0 z) (#s(alt (/.f64 (-.f64 z y) z) (patch (/.f64 (-.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ z (* -1 y)) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 z y) z) (patch (/.f64 (-.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ z (* -1 y)) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 z y) z) (patch (/.f64 (-.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ z (* -1 y)) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 z y) z) (patch (/.f64 (-.f64 z y) z) #<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 (- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) (taylor inf z) (#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt 1 (taylor inf z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#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
7.0ms	x	@	-inf	((/ (+ x y) (+ (* (/ -1 z) y) 1)) (+ (* (/ -1 z) y) 1) (+ x y) (/ -1 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) (/ y z) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x))
5.0ms	y	@	-inf	((/ (+ x y) (+ (* (/ -1 z) y) 1)) (+ (* (/ -1 z) y) 1) (+ x y) (/ -1 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) (/ y z) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x))
4.0ms	z	@	0	((/ (+ x y) (+ (* (/ -1 z) y) 1)) (+ (* (/ -1 z) y) 1) (+ x y) (/ -1 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) (/ y z) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x))
3.0ms	x	@	inf	((/ (+ x y) (+ (* (/ -1 z) y) 1)) (+ (* (/ -1 z) y) 1) (+ x y) (/ -1 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) (/ y z) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x))
2.0ms	x	@	0	((/ (+ x y) (+ (* (/ -1 z) y) 1)) (+ (* (/ -1 z) y) 1) (+ x y) (/ -1 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) (/ y z) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x))

simplify249.0ms (4%)

Memory

-15.8MiB live, 258.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	382	5934
1	1260	5662
2	3750	5064
0	8437	4847

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 514

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

rewrite187.0ms (3%)

Memory

17.8MiB live, 200.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	144
0	45	145
1	205	140
2	1849	140
0	8298	140

Stop Event

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

Counts

19 → 610

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))
(+.f64 x y)
(/.f64 #s(literal -1 binary64) 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 y z)
(/.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
#<batchref>
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eval320.0ms (5.2%)

Memory: 25.6MiB live, 304.3MiB allocated
Compiler: Compiled 18 192 to 2 312 computations (87.3% saved)

prune100.0ms (1.6%)

Memory

-34.8MiB live, 149.9MiB allocated

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	1 115	9	1 124
Fresh	2	2	4
Picked	2	3	5
Done	0	0	0
Total	1 119	14	1 133

Accuracy

100.0%

Counts

1 133 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.0%	(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)))
▶	88.2%	(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))
	36.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y)))
	43.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
	52.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)))
▶	46.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
▶	46.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x))
✓	52.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
	15.1%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z))
✓	39.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
	29.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
▶	16.3%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y))))
▶	16.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y)))
	2.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))))

Compiler

Compiled 193 to 180 computations (6.7% saved)

simplify252.0ms (4.1%)

Memory

9.1MiB live, 89.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	185
0	42	185
1	87	181
2	166	181
3	256	181
4	382	181
5	527	181
6	1081	181
7	2373	181
8	3816	181
9	4399	181
10	4793	181
11	4832	181
12	4864	181
13	4864	181
14	5068	181
15	5198	181
16	5370	181
17	5370	181
18	5370	181
19	5370	181
0	5370	181

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize106.0ms (1.7%)

Memory

7.8MiB live, 161.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z y)
accuracy	0.015625	(/.f64 z (-.f64 z y))
accuracy	2.1760037314045664	(*.f64 (/.f64 z (-.f64 z y)) x)
accuracy	33.91230423003137	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x))
accuracy	0	(neg.f64 x)
accuracy	4.83529494439526	(*.f64 (neg.f64 x) (/.f64 z y))
accuracy	29.432438278606043	#s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y)))
accuracy	33.91230423003137	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y))))
accuracy	0	(/.f64 y z)
accuracy	0.05859375	(fma.f64 y (/.f64 y z) y)
accuracy	28.413257310901415	#s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y))
accuracy	34.445506719595826	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y)))
accuracy	0	(+.f64 y x)
accuracy	34.42786806185802	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
accuracy	0	(-.f64 z y)
accuracy	0	(+.f64 y x)
accuracy	0.015625	(/.f64 z (-.f64 z y))
accuracy	7.533664266081006	(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))

Samples

80.0ms

256×

valid

Compiler

Compiled 241 to 44 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-add: 38.0ms (62.6% of total)

ival-div: 10.0ms (16.5% of total)

ival-mult: 8.0ms (13.2% of total)

ival-sub: 3.0ms (4.9% of total)

ival-neg: 1.0ms (1.6% of total)

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

exact: 0.0ms (0% of total)

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

series38.0ms (0.6%)

Memory

-20.6MiB live, 55.9MiB allocated

Counts

15 → 456

Calls

Call 1

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

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

Calls

9 calls:

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

simplify250.0ms (4.1%)

Memory

-8.6MiB live, 254.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	443	5849
1	1426	5487
2	4177	5061
0	8132	4806

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 432

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

rewrite155.0ms (2.5%)

Memory

11.3MiB live, 240.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	158
0	42	158
1	191	154
2	1742	154
0	8626	154

Stop Event

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

Counts

15 → 557

Calls

Call 1

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

Outputs
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eval214.0ms (3.5%)

Memory: -9.4MiB live, 223.3MiB allocated
Compiler: Compiled 18 149 to 2 217 computations (87.8% saved)

prune85.0ms (1.4%)

Memory

-1.4MiB live, 77.1MiB allocated

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	1 145	6	1 151
Fresh	1	5	6
Picked	1	4	5
Done	0	3	3
Total	1 147	18	1 165

Accuracy

100.0%

Counts

1 165 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.0%	(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)))
▶	77.9%	(/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y))
	42.2%	(*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) (+.f64 y x))
	36.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y)))
	52.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)))
✓	46.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
✓	46.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x))
✓	52.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
	15.1%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z))
✓	39.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
	29.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
▶	14.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (/.f64 (*.f64 (neg.f64 x) z) y)))
✓	16.3%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y))))
✓	16.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y)))
	2.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (/.f64 (*.f64 y y) z)))
▶	2.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))))
▶	38.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)))
▶	43.7%	#s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y))

Compiler

Compiled 229 to 213 computations (7% saved)

simplify148.0ms (2.4%)

Memory

10.6MiB live, 171.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 z y)
cost-diff	0	(/.f64 z (-.f64 z y))
cost-diff	0	(*.f64 (/.f64 z (-.f64 z y)) y)
cost-diff	0	#s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y))
cost-diff	0	(*.f64 (neg.f64 x) z)
cost-diff	0	(/.f64 (*.f64 (neg.f64 x) z) y)
cost-diff	0	#s(approx (/ x (/ (- z y) z)) (/.f64 (*.f64 (neg.f64 x) z) y))
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (/.f64 (*.f64 (neg.f64 x) z) y)))
cost-diff	0	(/.f64 x y)
cost-diff	0	#s(approx (+ y x) (fma.f64 (/.f64 x y) y y))
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)))
cost-diff	896	(fma.f64 (/.f64 x y) y y)
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 x y)
cost-diff	0	(*.f64 (+.f64 x y) z)
cost-diff	0	(/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	205
0	53	202
1	106	198
2	189	196
3	304	192
4	403	192
5	983	192
6	2800	192
7	5552	192
0	8160	192

Stop Event

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

Calls

Call 1

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

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

localize93.0ms (1.5%)

Memory

0.9MiB live, 85.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z y)
accuracy	0.015625	(/.f64 z (-.f64 z y))
accuracy	7.502455204015738	(*.f64 (/.f64 z (-.f64 z y)) y)
accuracy	29.15347438008144	#s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y))
accuracy	0	(neg.f64 x)
accuracy	6.319099799353287	(/.f64 (*.f64 (neg.f64 x) z) y)
accuracy	29.432438278606043	#s(approx (/ x (/ (- z y) z)) (/.f64 (*.f64 (neg.f64 x) z) y))
accuracy	33.91230423003137	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (/.f64 (*.f64 (neg.f64 x) z) y)))
accuracy	0	(/.f64 x y)
accuracy	0	#s(approx (+ y x) (fma.f64 (/.f64 x y) y y))
accuracy	6.355919280251062	(fma.f64 (/.f64 x y) y y)
accuracy	34.42786806185802	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)))
accuracy	0	(/.f64 y z)
accuracy	0.12890625	(*.f64 y (/.f64 y z))
accuracy	34.445506719595826	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))))
accuracy	38.032112433166695	#s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))
accuracy	0	(-.f64 z y)
accuracy	0	(+.f64 x y)
accuracy	0.01171875	(*.f64 (+.f64 x y) z)
accuracy	14.141910532540736	(/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y))

Samples

55.0ms

256×

valid

Compiler

Compiled 263 to 52 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-div: 13.0ms (32.3% of total)

ival-add: 12.0ms (29.8% of total)

ival-mult: 11.0ms (27.3% of total)

ival-sub: 2.0ms (5% of total)

ival-neg: 1.0ms (2.5% of total)

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

exact: 0.0ms (0% of total)

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

series47.0ms (0.8%)

Memory

-5.4MiB live, 65.5MiB allocated

Counts

20 → 576

Calls

Call 1

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

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

Calls

9 calls:

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

simplify195.0ms (3.2%)

Memory

14.7MiB live, 293.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	493	6254
1	1607	5862
2	4695	5620
0	8476	5373

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 543

Calls

Call 1

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

Outputs
(* -1 (/ (* z (+ x y)) y))
(*.f64 (-.f64 (neg.f64 y) x) (/.f64 z y))
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
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(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
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(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
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(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
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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)
(*.f64 (+.f64 y x) (/.f64 (+.f64 y z) z))
(/ (pow y 2) z)
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(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
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(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
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(* -1 (/ (* z (+ x y)) y))
(*.f64 (-.f64 (neg.f64 y) x) (/.f64 z y))
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(* -1 (/ (* x z) y))
(*.f64 (neg.f64 x) (/.f64 z y))
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(* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2))))))
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(* -1 (/ (* x z) y))
(*.f64 (neg.f64 x) (/.f64 z y))
(* -1 (/ (* x z) y))
(*.f64 (neg.f64 x) (/.f64 z y))
(* -1 (/ (* x z) y))
(*.f64 (neg.f64 x) (/.f64 z y))
(* -1 (/ (* x z) y))
(*.f64 (neg.f64 x) (/.f64 z y))
(* -1 (* x z))
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(* -1 (* x z))
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(* -1 (* x z))
(*.f64 (neg.f64 x) z)
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(*.f64 (-.f64 (neg.f64 y) x) (/.f64 z y))
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
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(* -1 z)
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(* z (+ x y))
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z
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(/ (pow y 2) z)
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x
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(* -1 (* x z))
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y
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x
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(/ (* x z) (- z y))
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(/ (* x z) (- z y))
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(.f64 (.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 z (-.f64 z y))) x)
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(.f64 (.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 z (-.f64 z y))) x)
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(.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)
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(/ (* x z) (- z y))
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(.f64 (.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 z (-.f64 z y))) x)
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(.f64 (.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 z (-.f64 z y))) x)
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(.f64 (.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 z (-.f64 z y))) x)
(* -1 x)
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(neg.f64 x)
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rewrite158.0ms (2.6%)

Memory

19.0MiB live, 291.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	190
0	53	190
1	217	186
2	1866	183
0	8127	180

Stop Event

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

Counts

20 → 457

Calls

Call 1

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

Outputs
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eval192.0ms (3.1%)

Memory: 7.2MiB live, 351.7MiB allocated
Compiler: Compiled 15 118 to 2 058 computations (86.4% saved)

prune98.0ms (1.6%)

Memory

-24.1MiB live, 120.8MiB allocated

Pruning

19 alts after pruning (10 fresh and 9 done)

	Pruned	Kept	Total
New	1 043	5	1 048
Fresh	1	5	6
Picked	2	3	5
Done	1	6	7
Total	1 047	19	1 066

Accuracy

100.0%

Counts

1 066 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.0%	(/.f64 #s(approx (* (+ x y) z) (*.f64 y z)) (-.f64 z y))
	36.6%	(/.f64 #s(approx (* (+ x y) z) (*.f64 x z)) (-.f64 z y))
	42.2%	(*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) (+.f64 y x))
	52.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)))
✓	46.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
✓	46.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x))
✓	52.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
	15.1%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z))
✓	39.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
	29.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
✓	14.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (/.f64 (*.f64 (neg.f64 x) z) y)))
✓	16.3%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y))))
✓	16.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y)))
	2.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (/.f64 (*.f64 y y) z)))
✓	2.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))))
✓	38.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)))
	43.9%	#s(approx (* (/ z (- z y)) (+ y x)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 z y))))
	28.7%	#s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) y))
	17.5%	#s(approx (* (/ z (- z y)) (+ y x)) (*.f64 #s(approx (/ z (- z y)) #s(literal 1 binary64)) y))

Compiler

Compiled 386 to 236 computations (38.9% saved)

regimes65.0ms (1.1%)

Memory

-9.1MiB live, 66.4MiB allocated

Counts

30 → 3

Calls

Call 1

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

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

Calls

4 calls:

36.0ms	x
10.0ms	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
9.0ms	z
8.0ms	y

Results

Accuracy	Segments	Branch
88.2%	1	`x`
96.2%	3	`y`
96.0%	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)

regimes28.0ms (0.5%)

Memory

-1.8MiB live, 35.4MiB allocated

Counts

20 → 4

Calls

Call 1

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

Outputs
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
#s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z 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
6.0ms	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
6.0ms	y
6.0ms	z

Results

Accuracy	Segments	Branch
69.3%	3	`x`
74.2%	3	`z`
78.7%	4	`y`
72.7%	6	`(/.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

10.5MiB live, 10.4MiB allocated

Counts

14 → 4

Calls

Call 1

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

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

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
76.9%	4	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.2%)

Memory

20.3MiB live, 20.3MiB allocated

Counts

13 → 4

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	y
4.0ms	z

Results

Accuracy	Segments	Branch
62.5%	3	`z`
72.2%	4	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes9.0ms (0.2%)

Memory

-36.8MiB live, 7.6MiB allocated

Counts

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

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:

9.0ms

Results

Accuracy	Segments	Branch
70.1%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
39.5%	1	`z`
39.5%	1	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`
39.5%	1	`x`
39.5%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0020430389107505e-296	2.4639245142919715e-288
0.0ms	-7.761116333874301e-274	-5.105523313826901e-276

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch37.0ms (0.6%)

Memory

19.0MiB live, 56.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
10.0ms	1.7206354884028884e+69	3.237190706334997e+70
14.0ms	-1.5770991150063754e-36	-1.3016525148750562e-39
10.0ms	-6.2962436248887985e+84	-2.750809152508504e+82

Samples

21.0ms	351×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 364 to 380 computations (-4.4% saved)

Precisions

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

ival-div: 5.0ms (54.1% of total)

ival-add: 2.0ms (21.6% of total)

ival-sub: 2.0ms (21.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch58.0ms (0.9%)

Memory

-30.0MiB live, 43.8MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
11.0ms	2.366511892626383e+105	2.6405624562671736e+109
17.0ms	-3.0090574588457514e-30	-1.5770991150063754e-36
1.0ms	-6.2962436248887985e+84	-2.750809152508504e+82

Samples

14.0ms

272×

valid

Compiler

Compiled 328 to 379 computations (-15.5% saved)

Precisions

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

ival-div: 4.0ms (56.7% of total)

ival-add: 2.0ms (28.4% of total)

ival-sub: 1.0ms (14.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch21.0ms (0.3%)

Memory

18.6MiB live, 18.6MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
4.0ms	2.366511892626383e+105	2.6405624562671736e+109
1.0ms	-3.0090574588457514e-30	-1.5770991150063754e-36
14.0ms	-1.0619539536712109e+100	-2.0251253152194663e+90

Samples

10.0ms

208×

valid

Compiler

Compiled 286 to 376 computations (-31.5% saved)

Precisions

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

ival-div: 3.0ms (55.4% of total)

ival-sub: 1.0ms (18.5% of total)

ival-add: 1.0ms (18.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch18.0ms (0.3%)

Memory

10.9MiB live, 10.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.366511892626383e+105	2.6405624562671736e+109
15.0ms	-3.3911124041414127e+47	-485694301110336960.0

Samples

9.0ms

176×

valid

Compiler

Compiled 145 to 242 computations (-66.9% saved)

Precisions

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

ival-div: 2.0ms (44.7% of total)

ival-sub: 1.0ms (22.3% of total)

ival-add: 1.0ms (22.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify69.0ms (1.1%)

Memory

4.5MiB live, 46.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	338
1	80	338
2	96	338
3	105	338
4	110	338
5	111	338

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -152270531428125/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968 binary64)) (.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 3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184 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 -1699999999999999904091620823312417872540845489521968182879231325206889103882778050560 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (if (<=.f64 y #s(literal -1628276512170007/191561942608236107294793378393788647952342390272950272 binary64)) #s(approx ( (/ z (- z y)) (+ y x)) (.f64 (/.f64 z (-.f64 z y)) y)) (if (<=.f64 y #s(literal 1749999999999999935368071059440054175983776823092765469814477499138048 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (/.f64 z (-.f64 z y)) x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)))))
(if (<=.f64 y #s(literal -1699999999999999904091620823312417872540845489521968182879231325206889103882778050560 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (if (<=.f64 y #s(literal -5612166287350667/93536104789177786765035829293842113257979682750464 binary64)) #s(approx ( (/ z (- z y)) (+ y x)) (.f64 (/.f64 z (-.f64 z y)) y)) (if (<=.f64 y #s(literal 14500000000000001014466589780169394711409729668637830921020654143628871602838367117466366176934831748808704 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 -4600000000000000383980321861012274362559877031177854502084504924906329235488360846198881826327494656 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal -5612166287350667/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y)) (if (<=.f64 y #s(literal 18000000000000000416426397105940178427220758867531861397900787075151874829948131861248744317572878232977408 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 -2100000000000000000000 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 18000000000000000416426397105940178427220758867531861397900787075151874829948131861248744317572878232977408 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 -152270531428125/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968 binary64)) (.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 3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184 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 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -152270531428125/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968 binary64)) (.f64 (+.f64 y x) (/.f64 z (-.f64 z y))) (if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (*.f64 (+.f64 y x) (/.f64 z (-.f64 z y)))))
(if (<=.f64 y #s(literal -1699999999999999904091620823312417872540845489521968182879231325206889103882778050560 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (if (<=.f64 y #s(literal -1628276512170007/191561942608236107294793378393788647952342390272950272 binary64)) #s(approx ( (/ z (- z y)) (+ y x)) (.f64 (/.f64 z (-.f64 z y)) y)) (if (<=.f64 y #s(literal 1749999999999999935368071059440054175983776823092765469814477499138048 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (/.f64 z (-.f64 z y)) x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)))))
(if (<=.f64 y #s(literal -1699999999999999904091620823312417872540845489521968182879231325206889103882778050560 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (if (<=.f64 y #s(literal -5612166287350667/93536104789177786765035829293842113257979682750464 binary64)) #s(approx ( (/ z (- z y)) (+ y x)) (.f64 (/.f64 z (-.f64 z y)) y)) (if (<=.f64 y #s(literal 14500000000000001014466589780169394711409729668637830921020654143628871602838367117466366176934831748808704 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 -4600000000000000383980321861012274362559877031177854502084504924906329235488360846198881826327494656 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal -5612166287350667/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y)) (if (<=.f64 y #s(literal 18000000000000000416426397105940178427220758867531861397900787075151874829948131861248744317572878232977408 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 -2100000000000000000000 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 18000000000000000416426397105940178427220758867531861397900787075151874829948131861248744317572878232977408 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))

soundness812.0ms (13.2%)

Memory

-0.4MiB live, 559.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	443	5849
1	1426	5487
2	4177	5061
0	8132	4806
0	8	20
0	12	20
1	56	20
2	432	20
3	7705	20
0	8025	20
0	28	144
0	45	145
1	205	140
2	1849	140
0	8298	140
0	181	958
1	589	915
2	1844	852
3	7144	833
0	8245	790

Stop Event

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

Compiler

Compiled 445 to 235 computations (47.2% saved)

preprocess89.0ms (1.4%)

Memory: -20.1MiB live, 133.9MiB allocated
Compiler: Compiled 454 to 162 computations (64.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

start0.0ms (0%)

analyze90.0ms (1.5%)

sample708.0ms (11.5%)

explain78.0ms (1.3%)

preprocess188.0ms (3.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify31.0ms (0.5%)

localize24.0ms (0.4%)

series13.0ms (0.2%)

simplify222.0ms (3.6%)

rewrite132.0ms (2.1%)

eval84.0ms (1.4%)

prune46.0ms (0.7%)

simplify270.0ms (4.4%)

localize84.0ms (1.4%)

series56.0ms (0.9%)

simplify249.0ms (4%)

rewrite187.0ms (3%)

eval320.0ms (5.2%)

prune100.0ms (1.6%)

simplify252.0ms (4.1%)

localize106.0ms (1.7%)

series38.0ms (0.6%)

simplify250.0ms (4.1%)

rewrite155.0ms (2.5%)

eval214.0ms (3.5%)

prune85.0ms (1.4%)

simplify148.0ms (2.4%)

localize93.0ms (1.5%)

series47.0ms (0.8%)

simplify195.0ms (3.2%)

rewrite158.0ms (2.6%)

eval192.0ms (3.1%)

prune98.0ms (1.6%)

regimes65.0ms (1.1%)

regimes28.0ms (0.5%)

regimes5.0ms (0.1%)

regimes10.0ms (0.2%)

regimes9.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch37.0ms (0.6%)

bsearch58.0ms (0.9%)

bsearch21.0ms (0.3%)

bsearch18.0ms (0.3%)

simplify69.0ms (1.1%)

soundness812.0ms (13.2%)

preprocess89.0ms (1.4%)

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