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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze75.0ms (1.1%)

Memory

-9.3MiB live, 149.6MiB 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)

sample704.0ms (10.3%)

Memory

30.2MiB live, 1 453.0MiB allocated

Samples

430.0ms	8 254×	0	valid
0.0ms	1×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 233.0ms

ival-div: 121.0ms (52% of total)

ival-add: 54.0ms (23.2% of total)

ival-sub: 42.0ms (18% of total)

ival-true: 7.0ms (3% of total)

exact: 5.0ms (2.1% of total)

ival-assert: 4.0ms (1.7% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain79.0ms (1.1%)

Memory

9.2MiB live, 126.2MiB 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

31.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

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

ival-div: 7.0ms (52.5% of total)

ival-add: 3.0ms (22.5% of total)

ival-sub: 2.0ms (15% of total)

ival-true: 1.0ms (7.5% of total)

exact: 0.0ms (0% of total)

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

preprocess127.0ms (1.9%)

Memory

2.5MiB live, 43.3MiB 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)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify33.0ms (0.5%)

Memory

-22.8MiB live, 13.7MiB 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

localize20.0ms (0.3%)

Memory

26.6MiB live, 26.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y z)
accuracy	0	(-.f64 #s(literal 1 binary64) (/.f64 y z))
accuracy	0	(+.f64 x y)
accuracy	7.570614487080385	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

Samples

14.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-div: 3.0ms (45.5% of total)

ival-add: 2.0ms (30.3% of total)

ival-sub: 1.0ms (15.2% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

-21.3MiB live, 15.6MiB 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
6.0ms	y	@	0	((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z))
2.0ms	y	@	inf	((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z))
1.0ms	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))

simplify191.0ms (2.8%)

Memory

3.8MiB live, 193.8MiB 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)

rewrite141.0ms (2.1%)

Memory

30.4MiB live, 188.2MiB 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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eval66.0ms (1%)

Memory: -25.0MiB live, 133.0MiB allocated
Compiler: Compiled 8 965 to 1 012 computations (88.7% saved)

prune17.0ms (0.2%)

Memory

-4.4MiB live, 41.8MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

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

Accuracy

100.0%

Counts

438 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.2%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	87.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))
	53.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (+.f64 y x)))
▶	45.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)))
▶	95.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 y (-.f64 z y)) z (/.f64 x (/.f64 (-.f64 z y) z))))
▶	38.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
	51.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
	45.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (/.f64 (.f64 z (+.f64 (+.f64 (/.f64 (.f64 z (+.f64 z x)) y) x) z)) (neg.f64 y)) z))
	53.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x))
	54.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
▶	47.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
▶	33.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))

Compiler

Compiled 237 to 186 computations (21.5% saved)

simplify256.0ms (3.7%)

Memory

6.6MiB live, 84.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 z y)
cost-diff	0	(/.f64 (-.f64 z y) z)
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
cost-diff	384	(/.f64 y (/.f64 (-.f64 z y) z))
cost-diff	0	(-.f64 (neg.f64 x) z)
cost-diff	0	(/.f64 z y)
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)))
cost-diff	128	(fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))
cost-diff	0	(/.f64 x y)
cost-diff	0	(-.f64 #s(literal -1 binary64) (/.f64 x y))
cost-diff	0	(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
cost-diff	0	(-.f64 z y)
cost-diff	0	(/.f64 y (-.f64 z y))
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 y (-.f64 z y)) z (/.f64 x (/.f64 (-.f64 z y) z))))
cost-diff	1472	(fma.f64 (/.f64 y (-.f64 z y)) z (/.f64 x (/.f64 (-.f64 z y) z)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	190
0	44	190
1	73	188
2	137	188
3	338	178
4	734	178
5	1726	178
6	3443	178
7	4465	178
8	4696	178
9	4896	178
10	4920	178
11	4950	178
12	4950	178
13	5122	178
14	5178	178
15	5178	178
16	5222	178
17	5328	178
18	5402	178
19	5420	178
20	5420	178
0	5420	178

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize81.0ms (1.2%)

Memory

-8.4MiB live, 97.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z y)
accuracy	0.0078125	(/.f64 (-.f64 z y) z)
accuracy	7.497728703578327	(/.f64 y (/.f64 (-.f64 z y) z))
accuracy	32.80614356917512	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
accuracy	0	(neg.f64 z)
accuracy	0	(neg.f64 x)
accuracy	1.1400378434741496	(fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))
accuracy	33.73819209606995	#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)))
accuracy	0	(/.f64 x y)
accuracy	0.00390625	(-.f64 #s(literal -1 binary64) (/.f64 x y))
accuracy	1.4868911340332946	(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
accuracy	33.60500065712747	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
accuracy	0	(neg.f64 z)
accuracy	42.472663865844744	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
accuracy	0.00390625	(/.f64 y (-.f64 z y))
accuracy	0.0078125	(/.f64 (-.f64 z y) z)
accuracy	1.5988697161678813	(fma.f64 (/.f64 y (-.f64 z y)) z (/.f64 x (/.f64 (-.f64 z y) z)))
accuracy	2.9049030524363584	(/.f64 x (/.f64 (-.f64 z y) z))

Samples

63.0ms

256×

valid

Compiler

Compiled 149 to 27 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 23.0ms (59.8% of total)

ival-sub: 5.0ms (13% of total)

ival-mult: 5.0ms (13% of total)

ival-add: 4.0ms (10.4% of total)

ival-neg: 2.0ms (5.2% of total)

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

exact: 0.0ms (0% of total)

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

series57.0ms (0.8%)

Memory

-22.9MiB live, 52.4MiB allocated

Counts

19 → 540

Calls

Call 1

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

Calls

9 calls:

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

simplify204.0ms (3%)

Memory

18.8MiB live, 205.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	602	6706
1	1963	6237
2	5889	5851
0	8306	5588

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 525

Calls

Call 1

Inputs
(* z (- (* -1 (/ x y)) 1))
(* z (- (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ x y))) 1))
(* z (- (+ (* -1 (/ x y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))) 1))
(* z (- (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))) 1))
(* -1 (/ (* z (+ x y)) y))
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
-1
(- (* -1 (/ z y)) 1)
(- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1)
(- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)
(* -1 y)
(- z y)
(- z y)
(- z y)
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rewrite238.0ms (3.5%)

Memory

5.6MiB live, 244.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	167
0	44	167
1	193	157
2	1900	157
0	8550	157

Stop Event

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

Counts

19 → 708

Calls

Call 1

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

Outputs
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eval258.0ms (3.8%)

Memory: 13.3MiB live, 333.0MiB allocated
Compiler: Compiled 28 156 to 3 612 computations (87.2% saved)

prune132.0ms (1.9%)

Memory

8.3MiB live, 134.3MiB allocated

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	1 455	12	1 467
Fresh	3	3	6
Picked	3	2	5
Done	1	0	1
Total	1 462	17	1 479

Accuracy

100.0%

Counts

1 479 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))
	45.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z)))
	45.1%	#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (*.f64 (-.f64 (neg.f64 x) z) z) (pow.f64 y #s(literal -1 binary64)) (neg.f64 z)))
	17.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))))
	51.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
▶	54.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
▶	88.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)))
	38.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) y))
▶	46.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z))
✓	47.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
	16.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
▶	95.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 z (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y)))))
✓	33.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
	17.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y)))
	41.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) (+.f64 y (+.f64 x z))) y)))
▶	15.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (neg.f64 x) (/.f64 z y))))
	51.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 (/.f64 z (-.f64 z y)) x)))

Compiler

Compiled 283 to 253 computations (10.6% saved)

simplify193.0ms (2.8%)

Memory

7.5MiB live, 114.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 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)) (+.f64 x y))
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)))
cost-diff	0	(-.f64 z y)
cost-diff	0	(/.f64 y (-.f64 z y))
cost-diff	0	(*.f64 (/.f64 y (-.f64 z y)) z)
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) (/.f64 z y))
cost-diff	0	#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (neg.f64 x) (/.f64 z y)))
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (neg.f64 x) (/.f64 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 (-.f64 z y))
cost-diff	0	(*.f64 z (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y))))
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 z (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y)))))
cost-diff	896	(+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y)))

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	33	217
0	46	223
1	88	207
2	161	207
3	317	205
4	629	205
5	1555	205
6	3129	201
7	4036	201
8	4269	201
9	4291	201
10	4303	201
11	4307	201
12	4311	201
13	4479	201
14	4551	201
15	4551	201
16	4551	201
0	4551	201

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize135.0ms (2%)

Memory

-7.2MiB live, 119.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x y)
accuracy	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)))
accuracy	0.01171875	(/.f64 z (-.f64 z y))
accuracy	7.383331120448712	(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
accuracy	0	(-.f64 z y)
accuracy	0.00390625	(/.f64 y (-.f64 z y))
accuracy	9.332296487041827	(*.f64 (/.f64 y (-.f64 z y)) z)
accuracy	32.80614356917512	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z))
accuracy	0	(neg.f64 x)
accuracy	6.09888600004561	(*.f64 (neg.f64 x) (/.f64 z y))
accuracy	33.73819209606995	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (neg.f64 x) (/.f64 z y))))
accuracy	39.52921417386959	#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (neg.f64 x) (/.f64 z y)))
accuracy	0	(+.f64 y x)
accuracy	29.43353296759038	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
accuracy	0.00390625	(/.f64 y (-.f64 z y))
accuracy	0.00390625	(/.f64 x (-.f64 z y))
accuracy	0.0078125	(+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y)))
accuracy	3.1670332223533553	(*.f64 z (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y))))

Samples

107.0ms

256×

valid

Compiler

Compiled 157 to 26 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-div: 10.0ms (28.2% of total)

ival-neg: 9.0ms (25.4% of total)

ival-mult: 7.0ms (19.8% of total)

ival-add: 5.0ms (14.1% of total)

ival-sub: 4.0ms (11.3% of total)

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

exact: 0.0ms (0% of total)

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

series50.0ms (0.7%)

Memory

-30.9MiB live, 61.0MiB allocated

Counts

18 → 552

Calls

Call 1

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

Outputs
#s(alt (- (* -1 (/ x y)) 1) (taylor 0 z) (#s(alt (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y))) (patch (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ x y))) 1) (taylor 0 z) (#s(alt (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y))) (patch (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ x y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))) 1) (taylor 0 z) (#s(alt (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y))) (patch (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))) 1) (taylor 0 z) (#s(alt (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y))) (patch (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 z (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y))))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 z (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 z (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y))))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 z (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 z (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y))))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 z (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 z (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y))))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 z (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* -1 (/ x y)) 1)) (taylor 0 z) (#s(alt (.f64 z (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y)))) (patch (.f64 z (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ x y))) 1)) (taylor 0 z) (#s(alt (.f64 z (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y)))) (patch (.f64 z (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* -1 (/ x y)) (* z (+ (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (* -1 (+ (/ 1 y) (/ x (pow y 2))))))) 1)) (taylor 0 z) (#s(alt (.f64 z (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y)))) (patch (.f64 z (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* -1 (/ x y)) (* z (+ (* -1 (+ (/ 1 y) (/ x (pow y 2)))) (* z (+ (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (* -1 (+ (/ 1 (pow y 2)) (/ x (pow y 3))))))))) 1)) (taylor 0 z) (#s(alt (.f64 z (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y)))) (patch (.f64 z (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 z) (#s(alt (/.f64 y (-.f64 z y)) (patch (/.f64 y (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ z y)) 1) (taylor 0 z) (#s(alt (/.f64 y (-.f64 z y)) (patch (/.f64 y (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1) (taylor 0 z) (#s(alt (/.f64 y (-.f64 z y)) (patch (/.f64 y (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1) (taylor 0 z) (#s(alt (/.f64 y (-.f64 z y)) (patch (/.f64 y (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (.f64 (neg.f64 x) (/.f64 z y)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ ( (/ z y) (- (neg x) z)) (neg z)) (*.f64 (neg.f64 x) (/.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (.f64 (neg.f64 x) (/.f64 z y)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ ( (/ z y) (- (neg x) z)) (neg z)) (*.f64 (neg.f64 x) (/.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (.f64 (neg.f64 x) (/.f64 z y)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ ( (/ z y) (- (neg x) z)) (neg z)) (*.f64 (neg.f64 x) (/.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (.f64 (neg.f64 x) (/.f64 z y)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ ( (/ z y) (- (neg x) z)) (neg z)) (*.f64 (neg.f64 x) (/.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* -1 (/ x y)) 1)) (taylor 0 z) (#s(alt #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (.f64 (neg.f64 x) (/.f64 z y))) (patch #s(approx (+ ( (/ z y) (- (neg x) z)) (neg z)) (*.f64 (neg.f64 x) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) (taylor 0 z) (#s(alt #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (.f64 (neg.f64 x) (/.f64 z y))) (patch #s(approx (+ ( (/ z y) (- (neg x) z)) (neg z)) (*.f64 (neg.f64 x) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) (taylor 0 z) (#s(alt #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (.f64 (neg.f64 x) (/.f64 z y))) (patch #s(approx (+ ( (/ z y) (- (neg x) z)) (neg z)) (*.f64 (neg.f64 x) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) (taylor 0 z) (#s(alt #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (.f64 (neg.f64 x) (/.f64 z y))) (patch #s(approx (+ ( (/ z y) (- (neg x) z)) (neg z)) (*.f64 (neg.f64 x) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor 0 z) (#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 0 z) (#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 0 z) (#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 0 z) (#s(alt (.f64 (neg.f64 x) (/.f64 z y)) (patch (.f64 (neg.f64 x) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (/.f64 y (-.f64 z y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (/.f64 y (-.f64 z y)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (/.f64 y (-.f64 z y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (/.f64 y (-.f64 z y)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (/.f64 y (-.f64 z y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (/.f64 y (-.f64 z y)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (/.f64 y (-.f64 z y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (/.f64 y (-.f64 z y)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (.f64 (/.f64 y (-.f64 z y)) z) (patch (.f64 (/.f64 y (-.f64 z y)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* -1 (/ z y)) 1)) (taylor 0 z) (#s(alt (.f64 (/.f64 y (-.f64 z y)) z) (patch (.f64 (/.f64 y (-.f64 z y)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1)) (taylor 0 z) (#s(alt (.f64 (/.f64 y (-.f64 z y)) z) (patch (.f64 (/.f64 y (-.f64 z y)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)) (taylor 0 z) (#s(alt (.f64 (/.f64 y (-.f64 z y)) z) (patch (.f64 (/.f64 y (-.f64 z y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 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))) (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (* x z) y)) (taylor -inf x) (#s(alt #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (.f64 (neg.f64 x) (/.f64 z y))) (patch #s(approx (+ ( (/ z y) (- (neg x) z)) (neg z)) (*.f64 (neg.f64 x) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) x)) (/ z y)))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (.f64 (neg.f64 x) (/.f64 z y))) (patch #s(approx (+ ( (/ z y) (- (neg x) z)) (neg z)) (*.f64 (neg.f64 x) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) x)) (/ z y)))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (.f64 (neg.f64 x) (/.f64 z y))) (patch #s(approx (+ ( (/ z y) (- (neg x) z)) (neg z)) (*.f64 (neg.f64 x) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) x)) (/ z y)))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (.f64 (neg.f64 x) (/.f64 z y))) (patch #s(approx (+ ( (/ z y) (- (neg x) z)) (neg 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 y (-.f64 z y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (/.f64 y (-.f64 z y)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* 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 y (-.f64 z y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (/.f64 y (-.f64 z y)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* 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 y (-.f64 z y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (/.f64 y (-.f64 z y)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* 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 y (-.f64 z y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (/.f64 y (-.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 (/.f64 z (-.f64 z y)) (+.f64 x y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) (patch (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y))))))) (taylor -inf x) (#s(alt (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) (patch (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y))))))) (taylor -inf x) (#s(alt (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) (patch (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y))))))) (taylor -inf x) (#s(alt (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) (patch (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt 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
9.0ms	x	@	inf	((+ (/ y (- z y)) (/ x (- z y))) (/ (+ x y) (- 1 (/ y z))) (* z (+ (/ y (- z y)) (/ x (- z y)))) (/ y (- z y)) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (* (neg x) (/ z y)) (neg x) (/ (+ x y) (- 1 (/ y z))) (* (/ y (- z y)) z) (- z y) (/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) (+ x y)) (/ z (- z y)) (/ x (- z y)) (+ x y))
7.0ms	x	@	0	((+ (/ y (- z y)) (/ x (- z y))) (/ (+ x y) (- 1 (/ y z))) (* z (+ (/ y (- z y)) (/ x (- z y)))) (/ y (- z y)) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (* (neg x) (/ z y)) (neg x) (/ (+ x y) (- 1 (/ y z))) (* (/ y (- z y)) z) (- z y) (/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) (+ x y)) (/ z (- z y)) (/ x (- z y)) (+ x y))
3.0ms	x	@	-inf	((+ (/ y (- z y)) (/ x (- z y))) (/ (+ x y) (- 1 (/ y z))) (* z (+ (/ y (- z y)) (/ x (- z y)))) (/ y (- z y)) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (* (neg x) (/ z y)) (neg x) (/ (+ x y) (- 1 (/ y z))) (* (/ y (- z y)) z) (- z y) (/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) (+ x y)) (/ z (- z y)) (/ x (- z y)) (+ x y))
2.0ms	y	@	inf	((+ (/ y (- z y)) (/ x (- z y))) (/ (+ x y) (- 1 (/ y z))) (* z (+ (/ y (- z y)) (/ x (- z y)))) (/ y (- z y)) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (* (neg x) (/ z y)) (neg x) (/ (+ x y) (- 1 (/ y z))) (* (/ y (- z y)) z) (- z y) (/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) (+ x y)) (/ z (- z y)) (/ x (- z y)) (+ x y))
2.0ms	z	@	-inf	((+ (/ y (- z y)) (/ x (- z y))) (/ (+ x y) (- 1 (/ y z))) (* z (+ (/ y (- z y)) (/ x (- z y)))) (/ y (- z y)) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (* (neg x) (/ z y)) (neg x) (/ (+ x y) (- 1 (/ y z))) (* (/ y (- z y)) z) (- z y) (/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) (+ x y)) (/ z (- z y)) (/ x (- z y)) (+ x y))

simplify233.0ms (3.4%)

Memory

14.1MiB live, 242.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	750	7952
1	2413	7233
2	7304	7142
0	8286	6822

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 527

Calls

Call 1

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

Outputs
(- (* -1 (/ x y)) 1)
(fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64))
(- (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ x y))) 1)
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(- (+ (* -1 (/ x y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))) 1)
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(- (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))) 1)
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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)) (* z (+ (* -1 (+ (/ 1 y) (/ x (pow y 2)))) (* z (+ (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (* -1 (+ (/ 1 (pow y 2)) (/ x (pow y 3))))))))) 1))
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-1
#s(literal -1 binary64)
(- (* -1 (/ z y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 z y))
(- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1)
(fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z y) (/.f64 #s(literal -1 binary64) y)) z #s(literal -1 binary64))
(- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)
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(* -1 (/ (* z (+ x y)) y))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
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(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
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(* -1 (/ (* z (+ x y)) y))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
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(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
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(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
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(* -1 z)
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(* z (- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z y) (/.f64 #s(literal -1 binary64) y)) z #s(literal -1 binary64)) z)
(* z (- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1))
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(* -1 y)
(neg.f64 y)
(- z y)
(-.f64 z y)
(- z y)
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(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) 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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(* -1 (/ (* z (+ x y)) y))
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(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
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(* -1 (/ z y))
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(/ (+ x y) z)
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rewrite234.0ms (3.4%)

Memory

27.0MiB live, 218.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	190
0	46	196
1	198	178
2	1912	178
0	8930	178

Stop Event

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

Counts

18 → 832

Calls

Call 1

Inputs
(+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 z (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y)))))
(*.f64 z (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y))))
(/.f64 y (-.f64 z y))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
(+.f64 y x)
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (neg.f64 x) (/.f64 z y))))
#s(approx (+ (* (/ z y) (- (neg x) z)) (neg 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 y (-.f64 z y)) z))
(*.f64 (/.f64 y (-.f64 z y)) z)
(-.f64 z y)
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)))
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
(/.f64 z (-.f64 z y))
(/.f64 x (-.f64 z y))
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Outputs
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eval282.0ms (4.1%)

Memory: -6.1MiB live, 461.5MiB allocated
Compiler: Compiled 30 266 to 3 520 computations (88.4% saved)

prune109.0ms (1.6%)

Memory

-11.0MiB live, 151.5MiB allocated

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	1 564	5	1 569
Fresh	4	6	10
Picked	2	3	5
Done	0	2	2
Total	1 570	16	1 586

Accuracy

100.0%

Counts

1 586 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z)))
▶	17.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))))
▶	74.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 x y) z))))
✓	54.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
✓	88.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)))
▶	38.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) y))
✓	46.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z))
✓	47.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
	16.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
	74.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 z (fma.f64 (/.f64 x (.f64 (+.f64 z y) (-.f64 z y))) (+.f64 z y) (/.f64 y (-.f64 z y)))))
	50.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 z #s(approx (+ (/ y (- z y)) (/ x (- z y))) (/.f64 x (-.f64 z y)))))
✓	33.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
	17.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y)))
▶	15.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 x) z) y)))
	15.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 x) z)))))
▶	51.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 (/.f64 z (-.f64 z y)) x)))

Compiler

Compiled 249 to 219 computations (12% saved)

simplify181.0ms (2.6%)

Memory

37.0MiB live, 114.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 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 (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) y))
cost-diff	0	(/.f64 z (-.f64 z y))
cost-diff	0	(*.f64 (/.f64 z (-.f64 z y)) x)
cost-diff	0	#s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 (/.f64 z (-.f64 z y)) x))
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 (/.f64 z (-.f64 z y)) x)))
cost-diff	0	(*.f64 (neg.f64 x) z)
cost-diff	0	(/.f64 (*.f64 (neg.f64 x) z) y)
cost-diff	0	#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 x) z) y))
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 x) z) y)))
cost-diff	0	#s(approx (/ (- z y) z) #s(literal 1 binary64))
cost-diff	0	(/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))))
cost-diff	0	(*.f64 (+.f64 x y) z)
cost-diff	0	(-.f64 z y)
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 x y) z))))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 x y) z)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	262
0	53	260
1	97	256
2	182	244
3	414	242
4	949	242
5	2175	242
6	4629	242
7	5378	242
8	5874	242
9	6126	242
10	6211	242
11	6262	242
12	6878	242
13	7316	242
0	8015	242

Stop Event

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

Calls

Call 1

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

localize282.0ms (4.1%)

Memory

-42.3MiB live, 96.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z y)
accuracy	0.01171875	(/.f64 z (-.f64 z y))
accuracy	7.340803289711078	(*.f64 (/.f64 z (-.f64 z y)) y)
accuracy	32.80614356917512	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) y))
accuracy	0	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 (/.f64 z (-.f64 z y)) x)))
accuracy	0.01171875	(/.f64 z (-.f64 z y))
accuracy	2.7329683831805722	(*.f64 (/.f64 z (-.f64 z y)) x)
accuracy	30.424662013886177	#s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 (/.f64 z (-.f64 z y)) x))
accuracy	0	(neg.f64 x)
accuracy	3.5432722926636373	(/.f64 (*.f64 (neg.f64 x) z) y)
accuracy	33.73819209606995	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 x) z) y)))
accuracy	39.52921417386959	#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 x) z) y))
accuracy	7.497728703578327	(/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))
accuracy	29.465582275320724	#s(approx (/ (- z y) z) #s(literal 1 binary64))
accuracy	32.80614356917512	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))))
accuracy	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 x y) z))))
accuracy	0.0078125	(*.f64 (+.f64 x y) z)
accuracy	0.19921875	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 x y) z)))
accuracy	16.299729327866082	(/.f64 (-.f64 z y) (*.f64 (+.f64 x y) z))

Samples

103.0ms

256×

valid

Compiler

Compiled 172 to 31 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-div: 16.0ms (45.4% of total)

ival-mult: 9.0ms (25.5% of total)

ival-sub: 4.0ms (11.4% of total)

ival-add: 4.0ms (11.4% of total)

ival-neg: 2.0ms (5.7% of total)

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

exact: 0.0ms (0% of total)

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

series269.0ms (3.9%)

Memory

7.5MiB live, 79.5MiB allocated

Counts

19 → 588

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
97.0ms	x	@	0	((/ 1 (/ (- z y) (* (+ x y) z))) (/ (+ x y) (- 1 (/ y z))) (- z y) (* (+ x y) z) (/ (+ x y) (- 1 (/ y z))) (/ y (/ (- z y) z)) (/ (- z y) z) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (* (neg x) z) y) (* (neg x) z) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (* (/ z (- z y)) x) (/ z (- z y)) (/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) y) (/ (- z y) (* (+ x y) z)) (neg x))
4.0ms	x	@	inf	((/ 1 (/ (- z y) (* (+ x y) z))) (/ (+ x y) (- 1 (/ y z))) (- z y) (* (+ x y) z) (/ (+ x y) (- 1 (/ y z))) (/ y (/ (- z y) z)) (/ (- z y) z) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (* (neg x) z) y) (* (neg x) z) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (* (/ z (- z y)) x) (/ z (- z y)) (/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) y) (/ (- z y) (* (+ x y) z)) (neg x))
3.0ms	x	@	-inf	((/ 1 (/ (- z y) (* (+ x y) z))) (/ (+ x y) (- 1 (/ y z))) (- z y) (* (+ x y) z) (/ (+ x y) (- 1 (/ y z))) (/ y (/ (- z y) z)) (/ (- z y) z) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (* (neg x) z) y) (* (neg x) z) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (* (/ z (- z y)) x) (/ z (- z y)) (/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) y) (/ (- z y) (* (+ x y) z)) (neg x))
2.0ms	z	@	inf	((/ 1 (/ (- z y) (* (+ x y) z))) (/ (+ x y) (- 1 (/ y z))) (- z y) (* (+ x y) z) (/ (+ x y) (- 1 (/ y z))) (/ y (/ (- z y) z)) (/ (- z y) z) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (* (neg x) z) y) (* (neg x) z) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (* (/ z (- z y)) x) (/ z (- z y)) (/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) y) (/ (- z y) (* (+ x y) z)) (neg x))
2.0ms	z	@	0	((/ 1 (/ (- z y) (* (+ x y) z))) (/ (+ x y) (- 1 (/ y z))) (- z y) (* (+ x y) z) (/ (+ x y) (- 1 (/ y z))) (/ y (/ (- z y) z)) (/ (- z y) z) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (* (neg x) z) y) (* (neg x) z) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (* (/ z (- z y)) x) (/ z (- z y)) (/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) y) (/ (- z y) (* (+ x y) z)) (neg x))

simplify206.0ms (3%)

Memory

32.7MiB live, 418.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	726	8270
1	2356	7657
2	7183	7501
0	8168	7196

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 569

Calls

Call 1

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

Outputs
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(*.f64 (neg.f64 (fma.f64 (/.f64 z x) y z)) (neg.f64 x))
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(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
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(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) x)) (/ z y))))
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(* -1 (/ (+ (* -1 (/ (- z y) z)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (- z y)) (* x z)) (/ (* (pow y 2) (- z y)) z)) x)) (/ (* y (- z y)) z)) x))) x))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 (-.f64 z y) z) (/.f64 (.f64 (/.f64 (-.f64 z y) z) (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (.f64 y y))) (neg.f64 x))) (neg.f64 x)) (/.f64 (-.f64 z y) z)) (neg.f64 x))
(* -1 x)
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(neg.f64 x)
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rewrite225.0ms (3.3%)

Memory

-34.0MiB live, 335.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	234
0	53	232
1	219	224
2	1889	222
0	8304	222

Stop Event

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

Counts

19 → 583

Calls

Call 1

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

Outputs
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eval189.0ms (2.8%)

Memory: 43.6MiB live, 409.7MiB allocated
Compiler: Compiled 22 145 to 3 490 computations (84.2% saved)

prune162.0ms (2.4%)

Memory

-38.0MiB live, 152.3MiB allocated

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	1 311	4	1 315
Fresh	3	3	6
Picked	2	3	5
Done	0	5	5
Total	1 316	15	1 331

Accuracy

100.0%

Counts

1 331 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 x y) z))))
	93.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (-.f64 z y) (neg.f64 (+.f64 x y))))))
✓	54.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
✓	88.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)))
✓	38.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) y))
✓	46.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z))
✓	47.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
	17.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ z (- z y)) #s(literal 1 binary64)) y))
	16.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
✓	33.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
	17.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y)))
✓	15.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 x) z) y)))
	15.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 x) z)))))
	45.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 (/.f64 z y) x z))))
	37.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (/.f64 (*.f64 x z) (-.f64 z y))))

Compiler

Compiled 459 to 247 computations (46.2% saved)

regimes59.0ms (0.9%)

Memory

31.0MiB live, 106.1MiB allocated

Counts

33 → 2

Calls

Call 1

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

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

Calls

4 calls:

25.0ms	z
12.0ms	y
10.0ms	x
10.0ms	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

Results

Accuracy	Segments	Branch
95.6%	1	`x`
99.9%	3	`y`
97.8%	2	`z`
98.7%	2	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes19.0ms (0.3%)

Memory

-25.6MiB live, 50.5MiB allocated

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.0%	3	`y`
99.9%	3	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes8.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

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

Results

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes25.0ms (0.4%)

Memory

-16.6MiB live, 30.7MiB allocated

Counts

16 → 3

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	z
5.0ms	x
5.0ms	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
5.0ms	y

Results

Accuracy	Segments	Branch
79.7%	3	`y`
77.8%	3	`x`
80.0%	3	`z`
73.7%	3	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes9.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB 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 (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ z (- z y)) #s(literal 1 binary64)) y))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (neg.f64 x) (/.f64 z y))))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 x) z) y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (*.f64 (/.f64 z (-.f64 z y)) x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ y (- z y)) z) (/ x (/ (- z y) z))) (/.f64 (*.f64 x z) (-.f64 z y))))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 (/.f64 z y) x z))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 z #s(approx (+ (/ y (- z y)) (/ x (- z y))) (/.f64 x (-.f64 z y)))))

Outputs

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

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

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

Calls

2 calls:

4.0ms	z
4.0ms	y

Results

Accuracy	Segments	Branch
77.6%	3	`y`
78.7%	3	`z`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes43.0ms (0.6%)

Memory

-17.8MiB live, 21.2MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

Calls

4 calls:

31.0ms	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
4.0ms	x
4.0ms	y
4.0ms	z

Results

Accuracy	Segments	Branch
67.2%	3	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`
71.9%	3	`y`
66.5%	3	`x`
67.7%	3	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes6.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
33.6%	1	`x`
33.6%	1	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`
33.6%	1	`z`
33.6%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.203833058776434e-268

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.203833058776434e-268
0.0ms	-1.8386179368984708e-257	-8.516728208891027e-303

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.203833058776434e-268
0.0ms	-1.8386179368984708e-257	-8.516728208891027e-303

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch30.0ms (0.4%)

Memory

5.3MiB live, 42.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	10174783.985415952	1068967837894.8611
11.0ms	-5.564165645316231e-18	-6.4573438426087455e-21

Samples

14.0ms

272×

valid

Compiler

Compiled 216 to 269 computations (-24.5% saved)

Precisions

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

ival-div: 4.0ms (56.5% of total)

ival-add: 2.0ms (28.3% of total)

ival-sub: 1.0ms (14.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	10174783.985415952	1068967837894.8611
1.0ms	-5.564165645316231e-18	-6.4573438426087455e-21

Compiler

Compiled 233 to 269 computations (-15.5% saved)

bsearch20.0ms (0.3%)

Memory

-4.8MiB live, 31.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	9.408558967383278e+20	1.1543367930962245e+21
14.0ms	-6.498710726710249e+118	-1.2656239435898297e+116

Samples

12.0ms

176×

valid

Compiler

Compiled 89 to 146 computations (-64% saved)

Precisions

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

ival-div: 5.0ms (67.1% of total)

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

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

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

exact: 0.0ms (0% of total)

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

simplify29.0ms (0.4%)

Memory

6.4MiB live, 52.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	353
1	81	353
2	99	353
3	109	353
4	114	353
5	115	353

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 z (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y))))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1352433999707303/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1352433999707303/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)))))
(if (<=.f64 z #s(literal -2326148992623603/166153499473114484112975882535043072 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 z #s(literal 12800000 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))))
(if (<=.f64 z #s(literal -2326148992623603/166153499473114484112975882535043072 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 z #s(literal 12800000 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 (/.f64 z y) x z)))) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))))
(if (<=.f64 y #s(literal -10999999999999999296253287510930503517949324519083129625799704027454197022504070171933639609315152635032998280324710400 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 1150000000000000000000 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 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 z (+.f64 (/.f64 y (-.f64 z y)) (/.f64 x (-.f64 z y))))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (+.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) z)) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1352433999707303/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1352433999707303/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016 binary64)) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1352433999707303/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)))))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1352433999707303/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016 binary64)) #s(approx (/ (+ x y) (- 1 (/ 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 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)))))
(if (<=.f64 z #s(literal -2326148992623603/166153499473114484112975882535043072 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 z #s(literal 12800000 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))))
(if (<=.f64 z #s(literal -2326148992623603/166153499473114484112975882535043072 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 z #s(literal 12800000 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 (/.f64 z y) x z)))) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))))
(if (<=.f64 y #s(literal -10999999999999999296253287510930503517949324519083129625799704027454197022504070171933639609315152635032998280324710400 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 1150000000000000000000 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))

soundness1.0s (14.9%)

Memory

10.6MiB live, 747.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	181	958
1	589	915
2	1844	852
3	7144	833
0	8245	790
0	602	6706
1	1963	6237
2	5889	5851
0	8306	5588
0	726	8270
1	2356	7657
2	7183	7501
0	8168	7196
0	33	190
0	46	196
1	198	178
2	1912	178
0	8930	178
0	28	167
0	44	167
1	193	157
2	1900	157
0	8550	157

Stop Event

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

Compiler

Compiled 317 to 150 computations (52.7% saved)

preprocess145.0ms (2.1%)

Memory: 0.7MiB live, 253.0MiB allocated
Compiler: Compiled 498 to 158 computations (68.3% 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%)

analyze75.0ms (1.1%)

sample704.0ms (10.3%)

explain79.0ms (1.1%)

preprocess127.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify33.0ms (0.5%)

localize20.0ms (0.3%)

series16.0ms (0.2%)

simplify191.0ms (2.8%)

rewrite141.0ms (2.1%)

eval66.0ms (1%)

prune17.0ms (0.2%)

simplify256.0ms (3.7%)

localize81.0ms (1.2%)

series57.0ms (0.8%)

simplify204.0ms (3%)

rewrite238.0ms (3.5%)

eval258.0ms (3.8%)

prune132.0ms (1.9%)

simplify193.0ms (2.8%)

localize135.0ms (2%)

series50.0ms (0.7%)

simplify233.0ms (3.4%)

rewrite234.0ms (3.4%)

eval282.0ms (4.1%)

prune109.0ms (1.6%)

simplify181.0ms (2.6%)

localize282.0ms (4.1%)

series269.0ms (3.9%)

simplify206.0ms (3%)

rewrite225.0ms (3.3%)

eval189.0ms (2.8%)

prune162.0ms (2.4%)

regimes59.0ms (0.9%)

regimes19.0ms (0.3%)

regimes8.0ms (0.1%)

regimes25.0ms (0.4%)

regimes9.0ms (0.1%)

regimes43.0ms (0.6%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch30.0ms (0.4%)

bsearch2.0ms (0%)

bsearch20.0ms (0.3%)

simplify29.0ms (0.4%)

soundness1.0s (14.9%)

preprocess145.0ms (2.1%)

end0.0ms (0%)

Profiling

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