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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze171.0ms (2.6%)

Memory

-12.5MiB live, 104.0MiB 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)

sample808.0ms (12.2%)

Memory

10.6MiB live, 990.9MiB allocated

Samples

546.0ms	8 254×	0	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 340.0ms

ival-div: 223.0ms (65.5% of total)

ival-add: 66.0ms (19.4% of total)

ival-sub: 38.0ms (11.2% of total)

ival-true: 5.0ms (1.5% of total)

exact: 5.0ms (1.5% of total)

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

adjust: 0.0ms (0% of total)

Bogosity

explain81.0ms (1.2%)

Memory

-11.5MiB live, 147.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
27	-	-	`(/.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	27	0
↳	`(/.f64 y z)`	overflow	27
↳	`(-.f64 #s(literal 1 binary64) (/.f64 y z))`	overflow	27

Confusion

	Predicted +	Predicted -
+	27	0
-	0	229

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	27	0	0
-	0	0	229

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	229
1	27

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms

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 (52.6% of total)

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

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

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

exact: 0.0ms (0% of total)

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

preprocess135.0ms (2%)

Memory

12.3MiB live, 89.7MiB 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

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.9%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify30.0ms (0.5%)

Memory

1.5MiB live, 38.5MiB 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

localize22.0ms (0.3%)

Memory

0.4MiB live, 37.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y z)
accuracy	0	(-.f64 #s(literal 1 binary64) (/.f64 y z))
accuracy	0	(+.f64 x y)
accuracy	6.440226271405485	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

Samples

17.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 5.0ms (52.5% of total)

ival-add: 3.0ms (31.5% of total)

ival-sub: 1.0ms (10.5% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

4 → 108

Calls

Call 1

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

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

Calls

9 calls:

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

simplify209.0ms (3.2%)

Memory

-20.6MiB live, 268.1MiB 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)

rewrite168.0ms (2.5%)

Memory

12.5MiB live, 166.7MiB 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: -7.3MiB live, 109.3MiB allocated
Compiler: Compiled 8 965 to 1 012 computations (88.7% saved)

prune19.0ms (0.3%)

Memory

9.9MiB live, 48.7MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	422	15	437
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	422	16	438

Accuracy

100.0%

Counts

438 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.7%	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	51.8%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x)))) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
▶	89.8%	(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)))
✓	89.9%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	38.7%	(/.f64 (+.f64 x y) #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z)))
	70.7%	(/.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
▶	49.1%	(/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 y x)))
	47.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)))
	41.1%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
▶	50.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
	42.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (/.f64 (.f64 z (+.f64 (+.f64 (/.f64 (.f64 z (+.f64 z x)) y) x) z)) (neg.f64 y)) z))
	52.1%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x))
▶	51.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x)))
	52.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
	45.1%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
▶	31.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))

Compiler

Compiled 341 to 272 computations (20.2% saved)

simplify114.0ms (1.7%)

Memory

-4.9MiB live, 153.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 y x)
cost-diff	0	(+.f64 y x)
cost-diff	0	(*.f64 (+.f64 y x) (-.f64 y x))
cost-diff	1408	(/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 y x)))
cost-diff	0	(-.f64 z y)
cost-diff	0	(/.f64 (-.f64 z y) z)
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
cost-diff	384	(/.f64 x (/.f64 (-.f64 z y) z))
cost-diff	0	(/.f64 x z)
cost-diff	0	(fma.f64 (/.f64 x z) y x)
cost-diff	0	(+.f64 y (fma.f64 (/.f64 x z) y x))
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x)))
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	0	(+.f64 x y)
cost-diff	192	(fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))
cost-diff	384	(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	166
0	49	161
1	86	156
2	169	156
3	341	156
4	1292	156
5	7305	156
0	8022	156

Stop Event

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

Calls

Call 1

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

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

localize141.0ms (2.1%)

Memory

2.9MiB live, 172.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y x)
accuracy	0.00390625	(*.f64 (+.f64 y x) (-.f64 y x))
accuracy	0.04296875	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 y x))
accuracy	32.3141089097147	(/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 y x)))
accuracy	0	(-.f64 z y)
accuracy	0.015625	(/.f64 (-.f64 z y) z)
accuracy	1.2763469333711628	(/.f64 x (/.f64 (-.f64 z y) z))
accuracy	31.246844652712245	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
accuracy	0	(/.f64 x z)
accuracy	0	(+.f64 y (fma.f64 (/.f64 x z) y x))
accuracy	3.400389169671355	(fma.f64 (/.f64 x z) y x)
accuracy	30.382082562811206	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x)))
accuracy	0	(neg.f64 z)
accuracy	43.5881243359461	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(+.f64 x y)
accuracy	0.1171875	(fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))
accuracy	6.440226271405485	(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)))

Samples

72.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 152 to 28 computations (81.6% saved)

Precisions

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

ival-div: 12.0ms (40.4% of total)

ival-add: 6.0ms (20.2% of total)

ival-mult: 6.0ms (20.2% of total)

ival-sub: 3.0ms (10.1% of total)

ival-neg: 1.0ms (3.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series62.0ms (0.9%)

Memory

-13.3MiB live, 106.7MiB allocated

Counts

19 → 540

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	z	@	-inf	((/ (+ x y) (+ (* (/ -1 z) y) 1)) (+ (* (/ -1 z) y) 1) (+ x y) (/ -1 z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (+ y (+ (* (/ x z) y) x)) (+ (* (/ x z) y) x) (/ x z) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (/ (* (+ y x) (- y x)) (* (- 1 (/ y z)) (- y x))) (* (+ y x) (- y x)) (+ y x) (- y x) (* (- 1 (/ y z)) (- y x)))
9.0ms	x	@	-inf	((/ (+ x y) (+ (* (/ -1 z) y) 1)) (+ (* (/ -1 z) y) 1) (+ x y) (/ -1 z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (+ y (+ (* (/ x z) y) x)) (+ (* (/ x z) y) x) (/ x z) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (/ (* (+ y x) (- y x)) (* (- 1 (/ y z)) (- y x))) (* (+ y x) (- y x)) (+ y x) (- y x) (* (- 1 (/ y z)) (- y x)))
4.0ms	x	@	0	((/ (+ x y) (+ (* (/ -1 z) y) 1)) (+ (* (/ -1 z) y) 1) (+ x y) (/ -1 z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (+ y (+ (* (/ x z) y) x)) (+ (* (/ x z) y) x) (/ x z) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (/ (* (+ y x) (- y x)) (* (- 1 (/ y z)) (- y x))) (* (+ y x) (- y x)) (+ y x) (- y x) (* (- 1 (/ y z)) (- y x)))
3.0ms	z	@	0	((/ (+ x y) (+ (* (/ -1 z) y) 1)) (+ (* (/ -1 z) y) 1) (+ x y) (/ -1 z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (+ y (+ (* (/ x z) y) x)) (+ (* (/ x z) y) x) (/ x z) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (/ (* (+ y x) (- y x)) (* (- 1 (/ y z)) (- y x))) (* (+ y x) (- y x)) (+ y x) (- y x) (* (- 1 (/ y z)) (- y x)))
2.0ms	x	@	inf	((/ (+ x y) (+ (* (/ -1 z) y) 1)) (+ (* (/ -1 z) y) 1) (+ x y) (/ -1 z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (+ y (+ (* (/ x z) y) x)) (+ (* (/ x z) y) x) (/ x z) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (/ (* (+ y x) (- y x)) (* (- 1 (/ y z)) (- y x))) (* (+ y x) (- y x)) (+ y x) (- y x) (* (- 1 (/ y z)) (- y x)))

simplify283.0ms (4.3%)

Memory

32.9MiB live, 225.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	450	5997
1	1452	5622
2	4220	5446
0	8882	5189

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 509

Calls

Call 1

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

rewrite183.0ms (2.8%)

Memory

1.8MiB live, 191.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	142
0	49	136
1	209	132
2	1837	132
0	8887	132

Stop Event

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

Counts

19 → 1 058

Calls

Call 1

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

Outputs
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eval385.0ms (5.8%)

Memory: -18.7MiB live, 351.8MiB allocated
Compiler: Compiled 34 738 to 3 629 computations (89.6% saved)

prune54.0ms (0.8%)

Memory

-11.9MiB live, 147.9MiB allocated

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	1 611	10	1 621
Fresh	4	6	10
Picked	4	1	5
Done	0	1	1
Total	1 619	18	1 637

Accuracy

100.0%

Counts

1 637 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.7%	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
▶	51.8%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x)))) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	89.9%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	29.8%	(/.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(approx ( (- 1 (/ y z)) (- y x)) (.f64 (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (-.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x z)) y)) (.f64 y y))))
▶	90.6%	(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))
	47.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)))
	41.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y)))
	41.1%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
	50.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))))
▶	18.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)))
	34.3%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x #s(approx (/ (- z y) z) #s(literal 1 binary64))))
▶	52.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
	43.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z))
	39.3%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 (neg.f64 x) y) (/.f64 z y)))
▶	45.1%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
✓	31.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
	32.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
	18.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (/.f64 (neg.f64 z) y) x)))

Compiler

Compiled 338 to 291 computations (13.9% saved)

simplify170.0ms (2.6%)

Memory

-0.5MiB live, 168.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 y x)
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x)))) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
cost-diff	704	(/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))))
cost-diff	0	#s(approx (- z y) (neg.f64 y))
cost-diff	0	(/.f64 #s(approx (- z y) (neg.f64 y)) z)
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)))
cost-diff	384	(/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))
cost-diff	0	(/.f64 x y)
cost-diff	0	(-.f64 #s(literal -1 binary64) (/.f64 x y))
cost-diff	0	(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
cost-diff	0	(+.f64 y x)
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
cost-diff	0	(+.f64 y x)
cost-diff	0	(-.f64 z y)
cost-diff	0	(/.f64 z (-.f64 z y))
cost-diff	0	(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	194
0	48	184
1	82	184
2	172	170
3	472	168
4	1499	168
5	4585	168
0	8279	168

Stop Event

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

Calls

Call 1

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

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

localize83.0ms (1.2%)

Memory

11.2MiB live, 119.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 (+.f64 y x) (-.f64 y x))
accuracy	0.205410009768442	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))))
accuracy	6.440226271405485	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x)))) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
accuracy	29.171103276111122	(/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x)))
accuracy	0.015625	(/.f64 #s(approx (- z y) (neg.f64 y)) z)
accuracy	1.2763469333711628	(/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))
accuracy	31.246844652712245	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)))
accuracy	32.734174934242084	#s(approx (- z y) (neg.f64 y))
accuracy	0	(/.f64 x y)
accuracy	0.014872480164287516	(-.f64 #s(literal -1 binary64) (/.f64 x y))
accuracy	3.2053311933341524	(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
accuracy	32.81412683689692	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
accuracy	0	(+.f64 y x)
accuracy	30.21223201065038	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
accuracy	0	(-.f64 z y)
accuracy	0	(+.f64 y x)
accuracy	0.01953125	(/.f64 z (-.f64 z y))
accuracy	6.035619974010401	(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))

Samples

62.0ms

256×

valid

Compiler

Compiled 164 to 26 computations (84.1% saved)

Precisions

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

ival-div: 32.0ms (70.2% of total)

ival-sub: 5.0ms (11% of total)

ival-mult: 5.0ms (11% of total)

ival-add: 2.0ms (4.4% of total)

ival-neg: 1.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.6%)

Memory

3.8MiB live, 86.7MiB allocated

Counts

18 → 516

Calls

Call 1

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

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

Calls

9 calls:

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

simplify224.0ms (3.4%)

Memory

-19.0MiB live, 297.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	564	5924
1	1803	5515
2	5180	5260
0	8200	5028

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 487

Calls

Call 1

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

rewrite210.0ms (3.2%)

Memory

-5.6MiB live, 248.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	162
0	48	152
1	198	136
2	1752	136
0	8083	136

Stop Event

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

Counts

18 → 801

Calls

Call 1

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

Outputs
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eval261.0ms (3.9%)

Memory: 26.7MiB live, 326.8MiB allocated
Compiler: Compiled 30 848 to 3 733 computations (87.9% saved)

prune52.0ms (0.8%)

Memory

6.6MiB live, 132.7MiB allocated

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	1 491	13	1 504
Fresh	8	3	11
Picked	1	4	5
Done	0	2	2
Total	1 500	22	1 522

Accuracy

100.0%

Counts

1 522 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.9%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
▶	75.6%	(/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y))
	42.7%	(/.f64 (.f64 (.f64 (-.f64 y x) (+.f64 x y)) z) (*.f64 (-.f64 y x) (-.f64 z y)))
✓	90.6%	(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))
▶	39.3%	(*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) (+.f64 y x))
	48.1%	(.f64 (.f64 (/.f64 z (*.f64 (+.f64 y z) (-.f64 z y))) (+.f64 y z)) (+.f64 y x))
	41.1%	#s(approx (/ (/ 1 (/ (- y x) (* (+ y x) (- y x)))) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
	41.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y)))
▶	17.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))))
	50.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))))
✓	18.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)))
▶	34.3%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x #s(approx (/ (- z y) z) #s(literal 1 binary64))))
▶	17.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z y) (neg.f64 y)) (*.f64 x z))))
	45.1%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)))
✓	52.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
	18.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x))
	16.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z))
✓	45.1%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
✓	31.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
	33.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x)))
	50.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (/.f64 z (-.f64 z y)) x)))
	41.7%	#s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y))

Compiler

Compiled 343 to 301 computations (12.2% saved)

simplify299.0ms (4.5%)

Memory

-13.5MiB live, 113.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	197
0	41	193
1	72	193
2	115	193
3	166	193
4	295	193
5	509	193
6	782	193
7	1690	193
8	2891	193
9	3732	193
10	4025	193
11	4158	193
12	4192	193
13	4208	193
14	4258	193
15	4361	193
16	4391	193
17	4405	193
18	4433	193
19	4437	193
20	4493	193
21	4786	193
22	5050	193
23	5235	193
24	5421	193
25	5875	193
26	6793	193
0	8292	193

Stop Event

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

Calls

Call 1

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

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

localize114.0ms (1.7%)

Memory

10.6MiB live, 126.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.5234141403997004	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z y) (neg.f64 y)) (*.f64 x z)))
accuracy	9.655655347555195	(/.f64 #s(approx (- z y) (neg.f64 y)) (*.f64 x z))
accuracy	31.246844652712245	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z y) (neg.f64 y)) (*.f64 x z))))
accuracy	32.734174934242084	#s(approx (- z y) (neg.f64 y))
accuracy	0	(neg.f64 y)
accuracy	0.01953125	(/.f64 z #s(approx (- z y) (neg.f64 y)))
accuracy	6.035619974010401	(*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) (+.f64 y x))
accuracy	32.734174934242084	#s(approx (- z y) (neg.f64 y))
accuracy	0	(neg.f64 y)
accuracy	9.630056158184821	(/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y)))
accuracy	31.246844652712245	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))))
accuracy	32.734174934242084	#s(approx (- z y) (neg.f64 y))
accuracy	1.2763469333711628	(/.f64 x #s(approx (/ (- z y) z) #s(literal 1 binary64)))
accuracy	30.227723736389375	#s(approx (/ (- z y) z) #s(literal 1 binary64))
accuracy	31.246844652712245	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x #s(approx (/ (- z y) z) #s(literal 1 binary64))))
accuracy	0	(-.f64 z y)
accuracy	0	(+.f64 x y)
accuracy	0.01171875	(*.f64 (+.f64 x y) z)
accuracy	15.623963907133762	(/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y))

Samples

67.0ms

256×

valid

Compiler

Compiled 137 to 23 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 16.0ms (58.1% of total)

ival-mult: 5.0ms (18.2% of total)

ival-add: 3.0ms (10.9% of total)

ival-sub: 2.0ms (7.3% of total)

ival-neg: 1.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

series38.0ms (0.6%)

Memory

-12.2MiB live, 98.8MiB allocated

Counts

17 → 516

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	((/ (* (+ x y) z) (- z y)) (* (+ x y) z) (+ x y) (- z y) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (/ (- z y) z) (/ (+ x y) (- 1 (/ y z))) (/ (* x z) (- z y)) (* x z) (- z y) (* (/ z (- z y)) (+ y x)) (/ z (- z y)) (neg y) (/ 1 (/ (- z y) (* x z))) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) (* x z)))
4.0ms	z	@	-inf	((/ (* (+ x y) z) (- z y)) (* (+ x y) z) (+ x y) (- z y) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (/ (- z y) z) (/ (+ x y) (- 1 (/ y z))) (/ (* x z) (- z y)) (* x z) (- z y) (* (/ z (- z y)) (+ y x)) (/ z (- z y)) (neg y) (/ 1 (/ (- z y) (* x z))) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) (* x z)))
2.0ms	x	@	-inf	((/ (* (+ x y) z) (- z y)) (* (+ x y) z) (+ x y) (- z y) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (/ (- z y) z) (/ (+ x y) (- 1 (/ y z))) (/ (* x z) (- z y)) (* x z) (- z y) (* (/ z (- z y)) (+ y x)) (/ z (- z y)) (neg y) (/ 1 (/ (- z y) (* x z))) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) (* x z)))
1.0ms	x	@	inf	((/ (* (+ x y) z) (- z y)) (* (+ x y) z) (+ x y) (- z y) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (/ (- z y) z) (/ (+ x y) (- 1 (/ y z))) (/ (* x z) (- z y)) (* x z) (- z y) (* (/ z (- z y)) (+ y x)) (/ z (- z y)) (neg y) (/ 1 (/ (- z y) (* x z))) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) (* x z)))
1.0ms	x	@	0	((/ (* (+ x y) z) (- z y)) (* (+ x y) z) (+ x y) (- z y) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (/ (- z y) z) (/ (+ x y) (- 1 (/ y z))) (/ (* x z) (- z y)) (* x z) (- z y) (* (/ z (- z y)) (+ y x)) (/ z (- z y)) (neg y) (/ 1 (/ (- z y) (* x z))) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) (* x z)))

simplify207.0ms (3.1%)

Memory

12.2MiB live, 324.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	424	6266
1	1351	5780
2	3986	5223
0	8210	4992

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 490

Calls

Call 1

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

rewrite177.0ms (2.7%)

Memory

12.6MiB live, 224.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	160
0	41	156
1	164	156
2	1226	156
0	8558	156

Stop Event

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

Counts

17 → 779

Calls

Call 1

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

Outputs
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eval230.0ms (3.5%)

Memory: -0.6MiB live, 413.6MiB allocated
Compiler: Compiled 22 994 to 2 612 computations (88.6% saved)

prune65.0ms (1%)

Memory

-17.3MiB live, 120.2MiB allocated

Pruning

21 alts after pruning (13 fresh and 8 done)

	Pruned	Kept	Total
New	1 426	8	1 434
Fresh	6	5	11
Picked	2	3	5
Done	1	5	6
Total	1 435	21	1 456

Accuracy

100.0%

Counts

1 456 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.9%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	36.1%	(/.f64 #s(approx (* (+ x y) z) (*.f64 y z)) (-.f64 z y))
	41.6%	(/.f64 #s(approx (* (+ x y) z) (*.f64 x z)) (-.f64 z y))
✓	90.6%	(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))
✓	39.3%	(*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) (+.f64 y x))
	48.1%	(.f64 (.f64 (/.f64 z (*.f64 (+.f64 y z) (-.f64 z y))) (+.f64 y z)) (+.f64 y x))
	75.5%	(.f64 (.f64 (-.f64 (neg.f64 y) x) z) (/.f64 #s(literal -1 binary64) (-.f64 z y)))
	41.1%	#s(approx (/ (/ 1 (/ (- y x) (* (+ y x) (- y x)))) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
✓	17.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))))
	16.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 z (/.f64 #s(approx (- z y) (neg.f64 y)) x)))
✓	34.3%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x #s(approx (/ (- z y) z) #s(literal 1 binary64))))
	45.1%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)))
✓	52.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
	18.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x))
	16.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z))
	17.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (/.f64 #s(literal -1 binary64) #s(approx (- z y) (neg.f64 y))) (.f64 (neg.f64 z) x)))
✓	45.1%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
✓	31.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
	33.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ (* x z) (- z y)) (fma.f64 (/.f64 y z) x x)))
	50.0%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ (* x z) (- z y)) (*.f64 (/.f64 z (-.f64 z y)) x)))
	41.7%	#s(approx (/ (* (+ x y) z) (- z y)) (*.f64 (/.f64 z (-.f64 z y)) y))

Compiler

Compiled 654 to 321 computations (50.9% saved)

regimes62.0ms (0.9%)

Memory

23.5MiB live, 106.9MiB allocated

Counts

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

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

4 calls:

16.0ms	z
16.0ms	y
14.0ms	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
14.0ms	x

Results

Accuracy	Segments	Branch
90.6%	1	`x`
94.7%	3	`y`
96.3%	3	`z`
99.9%	3	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes31.0ms (0.5%)

Memory

-22.5MiB live, 15.3MiB allocated

Counts

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

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

Calls

1 calls:

29.0ms

(/.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)

regimes32.0ms (0.5%)

Memory

8.1MiB live, 46.4MiB allocated

Counts

22 → 4

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	x
7.0ms	z
7.0ms	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
7.0ms	y

Results

Accuracy	Segments	Branch
68.0%	4	`x`
75.4%	4	`y`
71.3%	3	`z`
69.7%	6	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes11.0ms (0.2%)

Memory

23.1MiB live, 23.1MiB allocated

Counts

14 → 5

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

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

Calls

2 calls:

5.0ms	z
5.0ms	y

Results

Accuracy	Segments	Branch
67.9%	4	`z`
74.3%	5	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes10.0ms (0.2%)

Memory

-24.6MiB live, 10.9MiB allocated

Counts

12 → 5

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
71.9%	5	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB 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 x #s(approx (/ (- z y) z) #s(literal 1 binary64))))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ (* x z) (- z y)) (fma.f64 (/.f64 y z) x x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y))))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
68.1%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB 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	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
31.9%	1	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`
31.9%	1	`z`
31.9%	1	`x`
31.9%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	2.2810108124485994e-269
0.0ms	-1.9923749731929794e-296	0.0

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	2.2810108124485994e-269
0.0ms	-1.9923749731929794e-296	0.0

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch59.0ms (0.9%)

Memory

-14.5MiB live, 100.5MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	1.7552974104969195e+30	3.1425000919996443e+38
17.0ms	-1.8533060716520754e-27	-2.6277150542159186e-35
23.0ms	-6.397193005469639e+162	-4.7266818161673244e+138

Samples

31.0ms	463×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 494 to 516 computations (-4.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-add: 11.0ms (55.7% of total)

ival-div: 6.0ms (30.4% of total)

ival-sub: 2.0ms (10.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch51.0ms (0.8%)

Memory

-14.4MiB live, 69.1MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
20.0ms	2.0630755242264112e+200	3.712964700779765e+200
11.0ms	1.7552974104969195e+30	3.1425000919996443e+38
1.0ms	-1.8533060716520754e-27	-2.6277150542159186e-35
16.0ms	-3.1048624752671514e+206	-8.936783184213137e+188

Samples

17.0ms	351×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 472 to 516 computations (-9.3% saved)

Precisions

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

ival-div: 5.0ms (55.5% of total)

ival-add: 2.0ms (22.2% of total)

ival-sub: 2.0ms (22.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch21.0ms (0.3%)

Memory

31.5MiB live, 31.5MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
0.0ms	2.0630755242264112e+200	3.712964700779765e+200
5.0ms	1.7552974104969195e+30	3.1425000919996443e+38
12.0ms	-1.1858236843909928e-11	-4.666152388573358e-19
1.0ms	-3.1048624752671514e+206	-8.936783184213137e+188

Samples

9.0ms

192×

valid

Compiler

Compiled 382 to 462 computations (-20.9% saved)

Precisions

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

ival-div: 3.0ms (63.6% of total)

ival-sub: 1.0ms (21.2% of total)

ival-add: 1.0ms (21.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch43.0ms (0.7%)

Memory

-5.6MiB live, 31.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	2.0630755242264112e+200	3.712964700779765e+200
39.0ms	-1.93389672695231e+73	-1.2803409158122815e+61

Samples

9.0ms

176×

valid

Compiler

Compiled 110 to 182 computations (-65.5% saved)

Precisions

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

ival-div: 2.0ms (43.7% of total)

ival-sub: 1.0ms (21.9% of total)

ival-add: 1.0ms (21.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify33.0ms (0.5%)

Memory

-12.3MiB live, 60.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	449
1	90	449
2	106	449
3	115	449
4	120	449
5	121	449

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -3681675540198023/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368 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 -3681675540198023/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368 binary64)) (.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))))
(if (<=.f64 y #s(literal -18999999999999999476396525475022027720228264015942097072623425472923996452926663318967571410690324488466571267556391780575977246609468328771584 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (if (<=.f64 y #s(literal -1313067877289483/11417981541647679048466287755595961091061972992 binary64)) #s(approx ( (/ z (- z y)) (+ y x)) (.f64 (/.f64 z (-.f64 z y)) y)) (if (<=.f64 y #s(literal 25999999999999999954050292383744 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (.f64 (/.f64 z (-.f64 z y)) x))) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)))))
(if (<=.f64 y #s(literal -559999999999999977316553317383755162688346379087756229182201893192206678595416228387626190905463553696476383026426323048030861117032024297254011701153892268672091266937499783313646145677295616 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal -1313067877289483/11417981541647679048466287755595961091061972992 binary64)) #s(approx (* (/ z (- z y)) (+ y x)) (.f64 (/.f64 z (-.f64 z y)) y)) (if (<=.f64 y #s(literal 260000000000000006602147139554377728 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (.f64 (/.f64 z (-.f64 z y)) x))) (if (<=.f64 y #s(literal 234999999999999987788358988898970842556461486828231729859274184553808631108888350781487220586878161593904632431337481237890455907799044691575393204995024214665513642847717878595497061249717850104397824 binary64)) #s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))))))
(if (<=.f64 y #s(literal -559999999999999977316553317383755162688346379087756229182201893192206678595416228387626190905463553696476383026426323048030861117032024297254011701153892268672091266937499783313646145677295616 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal -1436010445571041/9903520314283042199192993792 binary64)) #s(approx (* (/ z (- z y)) (+ y x)) (.f64 (/.f64 z (-.f64 z y)) y)) (if (<=.f64 y #s(literal 25000000000000001341540551098368 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 y #s(literal 234999999999999987788358988898970842556461486828231729859274184553808631108888350781487220586878161593904632431337481237890455907799044691575393204995024214665513642847717878595497061249717850104397824 binary64)) #s(approx ( (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))))))
(if (<=.f64 y #s(literal -329999999999999979493003320793870699240199767824385920377574807983620096 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 209999999999999997043238818654485380103010209781354176470703630448732690191106043104395093759337482453497790571012581338074193754150991315960816347176530075750077405346418014244001941289467572398325760 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 -3681675540198023/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368 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 -3681675540198023/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368 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 -3681675540198023/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368 binary64)) (.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -3681675540198023/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368 binary64)) (.f64 (+.f64 y x) (/.f64 z (-.f64 z y))) (if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (*.f64 (+.f64 y x) (/.f64 z (-.f64 z y)))))
(if (<=.f64 y #s(literal -18999999999999999476396525475022027720228264015942097072623425472923996452926663318967571410690324488466571267556391780575977246609468328771584 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (if (<=.f64 y #s(literal -1313067877289483/11417981541647679048466287755595961091061972992 binary64)) #s(approx ( (/ z (- z y)) (+ y x)) (.f64 (/.f64 z (-.f64 z y)) y)) (if (<=.f64 y #s(literal 25999999999999999954050292383744 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (.f64 (/.f64 z (-.f64 z y)) x))) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)))))
(if (<=.f64 y #s(literal -559999999999999977316553317383755162688346379087756229182201893192206678595416228387626190905463553696476383026426323048030861117032024297254011701153892268672091266937499783313646145677295616 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal -1313067877289483/11417981541647679048466287755595961091061972992 binary64)) #s(approx (* (/ z (- z y)) (+ y x)) (.f64 (/.f64 z (-.f64 z y)) y)) (if (<=.f64 y #s(literal 260000000000000006602147139554377728 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (.f64 (/.f64 z (-.f64 z y)) x))) (if (<=.f64 y #s(literal 234999999999999987788358988898970842556461486828231729859274184553808631108888350781487220586878161593904632431337481237890455907799044691575393204995024214665513642847717878595497061249717850104397824 binary64)) #s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))))))
(if (<=.f64 y #s(literal -559999999999999977316553317383755162688346379087756229182201893192206678595416228387626190905463553696476383026426323048030861117032024297254011701153892268672091266937499783313646145677295616 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal -1436010445571041/9903520314283042199192993792 binary64)) #s(approx (* (/ z (- z y)) (+ y x)) (.f64 (/.f64 z (-.f64 z y)) y)) (if (<=.f64 y #s(literal 25000000000000001341540551098368 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 y #s(literal 234999999999999987788358988898970842556461486828231729859274184553808631108888350781487220586878161593904632431337481237890455907799044691575393204995024214665513642847717878595497061249717850104397824 binary64)) #s(approx ( (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))))))
(if (<=.f64 y #s(literal -329999999999999979493003320793870699240199767824385920377574807983620096 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 209999999999999997043238818654485380103010209781354176470703630448732690191106043104395093759337482453497790571012581338074193754150991315960816347176530075750077405346418014244001941289467572398325760 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 (15.8%)

Memory

10.6MiB live, 822.7MiB 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
0	181	958
1	589	915
2	1844	852
3	7144	833
0	8245	790
0	30	142
0	49	136
1	209	132
2	1837	132
0	8887	132
0	450	5997
1	1452	5622
2	4220	5446
0	8882	5189
0	564	5924
1	1803	5515
2	5180	5260
0	8200	5028

Stop Event

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

Compiler

Compiled 513 to 255 computations (50.3% saved)

preprocess90.0ms (1.4%)

Memory: -10.0MiB live, 79.3MiB allocated
Compiler: Compiled 594 to 180 computations (69.7% 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%)

analyze171.0ms (2.6%)

sample808.0ms (12.2%)

explain81.0ms (1.2%)

preprocess135.0ms (2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify30.0ms (0.5%)

localize22.0ms (0.3%)

series11.0ms (0.2%)

simplify209.0ms (3.2%)

rewrite168.0ms (2.5%)

eval66.0ms (1%)

prune19.0ms (0.3%)

simplify114.0ms (1.7%)

localize141.0ms (2.1%)

series62.0ms (0.9%)

simplify283.0ms (4.3%)

rewrite183.0ms (2.8%)

eval385.0ms (5.8%)

prune54.0ms (0.8%)

simplify170.0ms (2.6%)

localize83.0ms (1.2%)

series39.0ms (0.6%)

simplify224.0ms (3.4%)

rewrite210.0ms (3.2%)

eval261.0ms (3.9%)

prune52.0ms (0.8%)

simplify299.0ms (4.5%)

localize114.0ms (1.7%)

series38.0ms (0.6%)

simplify207.0ms (3.1%)

rewrite177.0ms (2.7%)

eval230.0ms (3.5%)

prune65.0ms (1%)

regimes62.0ms (0.9%)

regimes31.0ms (0.5%)

regimes32.0ms (0.5%)

regimes11.0ms (0.2%)

regimes10.0ms (0.2%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch59.0ms (0.9%)

bsearch51.0ms (0.8%)

bsearch21.0ms (0.3%)

bsearch43.0ms (0.7%)

simplify33.0ms (0.5%)

soundness1.0s (15.8%)

preprocess90.0ms (1.4%)

end0.0ms (0%)

Profiling

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