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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze72.0ms (1%)

Memory

-18.1MiB live, 138.7MiB 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)

sample817.0ms (11.5%)

Memory

27.6MiB live, 841.7MiB allocated

Samples

494.0ms	8 254×	0	valid
0.0ms	1×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 270.0ms

ival-div: 132.0ms (48.9% of total)

ival-add: 73.0ms (27.1% of total)

ival-sub: 50.0ms (18.5% of total)

ival-true: 6.0ms (2.2% of total)

exact: 5.0ms (1.9% of total)

ival-assert: 3.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain103.0ms (1.5%)

Memory

-42.1MiB live, 112.7MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`	n/o	28	0
↳	`(/.f64 y z)`	overflow	28
↳	`(-.f64 #s(literal 1 binary64) (/.f64 y z))`	overflow	28

Confusion

	Predicted +	Predicted -
+	28	0
-	0	228

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	228
1	28

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms

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 (54% of total)

ival-add: 3.0ms (23.1% of total)

ival-sub: 2.0ms (15.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess194.0ms (2.7%)

Memory

16.3MiB live, 93.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.5%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify36.0ms (0.5%)

Memory

-7.2MiB live, 32.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

368×	`lower-fma.f64`
368×	`lower-fma.f32`
240×	`lower-*.f64`
240×	`lower-*.f32`
192×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize22.0ms (0.3%)

Memory

6.3MiB live, 43.3MiB 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	6.710526330167657	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

Samples

15.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-div: 4.0ms (55% of total)

ival-sub: 1.0ms (13.8% of total)

ival-add: 1.0ms (13.8% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

23.2MiB live, 23.2MiB allocated

Counts

4 → 108

Calls

Call 1

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

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

Calls

9 calls:

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

simplify215.0ms (3%)

Memory

-16.5MiB live, 213.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 101

Calls

Call 1

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

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

rewrite126.0ms (1.8%)

Memory

27.6MiB live, 189.4MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 336

Calls

Call 1

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

Outputs
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eval87.0ms (1.2%)

Memory: -12.9MiB live, 189.1MiB allocated
Compiler: Compiled 8 965 to 1 012 computations (88.7% saved)

prune40.0ms (0.6%)

Memory

6.6MiB live, 45.1MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	425	12	437
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	425	13	438

Accuracy

100.0%

Counts

438 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.4%	(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)))
✓	89.5%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	62.8%	(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) (+.f64 y x)))
	73.9%	(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (/.f64 y z) #s(literal 1 binary64)))
	49.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)))
	38.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
▶	53.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
	48.2%	#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))
▶	49.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x))
	47.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x)))
	49.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
▶	47.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
▶	32.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))

Compiler

Compiled 273 to 218 computations (20.1% saved)

simplify285.0ms (4%)

Memory

-7.0MiB live, 113.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 z y)
cost-diff	0	(/.f64 (-.f64 z y) z)
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
cost-diff	384	(/.f64 x (/.f64 (-.f64 z y) z))
cost-diff	0	(/.f64 y z)
cost-diff	0	(fma.f64 (/.f64 y z) (+.f64 y x) y)
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x))
cost-diff	64	(+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)
cost-diff	0	(/.f64 x y)
cost-diff	0	(-.f64 #s(literal -1 binary64) (/.f64 x y))
cost-diff	0	(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	0	(+.f64 x y)
cost-diff	192	(fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))
cost-diff	384	(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)))

Rules

3 792×	`lower-fma.f32`
3 788×	`lower-fma.f64`
1 384×	`lower-*.f32`
1 382×	`lower-*.f64`
980×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	160
0	45	161
1	79	156
2	147	156
3	242	156
4	388	156
5	639	156
6	1589	156
7	3002	156
8	4260	156
9	4800	156
10	4981	156
11	5080	156
12	5080	156
13	5502	156
14	5741	156
15	5929	156
16	6085	156
17	6085	156
18	6085	156
19	6085	156
20	6105	156
21	6113	156
0	6113	156

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize66.0ms (0.9%)

Memory

-21.1MiB live, 136.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z y)
accuracy	0.01171875	(/.f64 (-.f64 z y) z)
accuracy	2.6224077601595637	(/.f64 x (/.f64 (-.f64 z y) z))
accuracy	29.1487221130977	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
accuracy	0	(+.f64 y x)
accuracy	0.01171875	(+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)
accuracy	1.9228453223576314	(fma.f64 (/.f64 y z) (+.f64 y x) y)
accuracy	32.369874358572844	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x))
accuracy	0	(/.f64 x y)
accuracy	0	(-.f64 #s(literal -1 binary64) (/.f64 x y))
accuracy	3.358913612110946	(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
accuracy	31.12680109059921	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
accuracy	0	(neg.f64 z)
accuracy	43.28408586392462	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(+.f64 x y)
accuracy	0.10546875	(fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))
accuracy	6.710526330167657	(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)))

Samples

45.0ms

256×

valid

Compiler

Compiled 136 to 26 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 11.0ms (40.2% of total)

ival-add: 6.0ms (21.9% of total)

ival-sub: 5.0ms (18.3% of total)

ival-mult: 5.0ms (18.3% of total)

ival-neg: 1.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

series62.0ms (0.9%)

Memory

18.4MiB live, 95.6MiB allocated

Counts

19 → 540

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	y	@	-inf	((/ (+ x y) (+ (* (/ -1 z) y) 1)) (+ (* (/ -1 z) y) 1) (+ x y) (/ -1 z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (+ (* (/ y z) (+ y x)) y) x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y z) (+ y x)) y) (/ y z) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x))
4.0ms	z	@	0	((/ (+ x y) (+ (* (/ -1 z) y) 1)) (+ (* (/ -1 z) y) 1) (+ x y) (/ -1 z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (+ (* (/ y z) (+ y x)) y) x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y z) (+ y x)) y) (/ y z) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x))
3.0ms	x	@	-inf	((/ (+ x y) (+ (* (/ -1 z) y) 1)) (+ (* (/ -1 z) y) 1) (+ x y) (/ -1 z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (+ (* (/ y z) (+ y x)) y) x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y z) (+ y x)) y) (/ y z) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x))
3.0ms	x	@	inf	((/ (+ x y) (+ (* (/ -1 z) y) 1)) (+ (* (/ -1 z) y) 1) (+ x y) (/ -1 z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (+ (* (/ y z) (+ y x)) y) x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y z) (+ y x)) y) (/ y z) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x))
3.0ms	x	@	0	((/ (+ x y) (+ (* (/ -1 z) y) 1)) (+ (* (/ -1 z) y) 1) (+ x y) (/ -1 z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (+ (* (/ y z) (+ y x)) y) x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y z) (+ y x)) y) (/ y z) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x))

simplify213.0ms (3%)

Memory

-6.1MiB live, 305.2MiB allocated

Algorithm

1×	egg-herbie

Rules

16 174×	`lower-fma.f64`
16 174×	`lower-fma.f32`
4 618×	`lower-+.f64`
4 618×	`lower-+.f32`
4 530×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 514

Calls

Call 1

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

rewrite304.0ms (4.3%)

Memory

-252.1MiB live, 270.7MiB allocated

Rules

4 894×	`lower-*.f32`
4 892×	`lower-*.f64`
4 730×	`lower-/.f32`
4 718×	`lower-/.f64`
2 640×	`lower--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	144
0	45	145
1	205	140
2	1849	140
0	8296	140

Stop Event

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

Counts

19 → 610

Calls

Call 1

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

Outputs
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eval394.0ms (5.5%)

Memory: -4.2MiB live, 341.8MiB allocated
Compiler: Compiled 18 192 to 2 312 computations (87.3% saved)

prune72.0ms (1%)

Memory

5.2MiB live, 81.3MiB allocated

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	1 113	11	1 124
Fresh	5	2	7
Picked	3	2	5
Done	0	1	1
Total	1 121	16	1 137

Accuracy

100.0%

Counts

1 137 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.5%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	73.9%	(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (/.f64 y z) #s(literal 1 binary64)))
▶	90.2%	(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))
	42.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y)))
	21.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)))
▶	49.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
	47.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (fma.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) z))
▶	46.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z))
✓	47.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
▶	47.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x))) z))
	18.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z))
✓	32.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
▶	32.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
	21.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y))))
	17.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y)))
	2.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))))

Compiler

Compiled 246 to 225 computations (8.5% saved)

simplify273.0ms (3.8%)

Memory

10.2MiB live, 93.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

6 408×	`lower-fma.f32`
6 406×	`lower-fma.f64`
3 296×	`lower-*.f32`
3 290×	`lower-*.f64`
1 816×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	174
0	42	174
1	73	174
2	130	166
3	202	166
4	401	166
5	823	166
6	1533	166
7	2536	166
8	3503	166
9	3952	166
10	4102	166
11	4172	166
12	4186	166
13	4292	166
14	4442	166
15	4910	166
16	5339	166
17	5605	166
18	5740	166
19	6050	166
20	6157	166
21	6217	166
22	7126	166
23	7664	166
0	8042	166

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

localize102.0ms (1.4%)

Memory

-18.7MiB live, 144.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)))
accuracy	0.5975761213925159	(/.f64 #s(literal 1 binary64) (/.f64 y x))
accuracy	3.358913612110946	(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x))) z)
accuracy	31.12680109059921	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x))) z))
accuracy	0	(-.f64 z y)
accuracy	0.01171875	(/.f64 x (-.f64 z y))
accuracy	8.41043709010883	(*.f64 (/.f64 x (-.f64 z y)) z)
accuracy	29.1487221130977	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z))
accuracy	0	(/.f64 x z)
accuracy	3.511395548076335	(fma.f64 (/.f64 x z) y x)
accuracy	29.1487221130977	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
accuracy	32.169897219256754	#s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))
accuracy	0	(+.f64 y x)
accuracy	32.08779905834893	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
accuracy	0	(-.f64 z y)
accuracy	0	(+.f64 y x)
accuracy	0.01171875	(/.f64 z (-.f64 z y))
accuracy	6.250983080373306	(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))

Samples

84.0ms

256×

valid

Compiler

Compiled 133 to 26 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-div: 25.0ms (56.2% of total)

ival-add: 10.0ms (22.5% of total)

ival-mult: 6.0ms (13.5% of total)

ival-sub: 4.0ms (9% of total)

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

exact: 0.0ms (0% of total)

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

series37.0ms (0.5%)

Memory

0.4MiB live, 74.5MiB allocated

Counts

16 → 504

Calls

Call 1

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

Calls

9 calls:

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

simplify204.0ms (2.9%)

Memory

-13.7MiB live, 285.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 562×	`lower-fma.f64`
11 562×	`lower-fma.f32`
5 090×	`lower-*.f64`
5 090×	`lower-*.f32`
2 940×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	486	6166
1	1567	5758
2	4525	5312
0	8165	5025

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 481

Calls

Call 1

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

rewrite176.0ms (2.5%)

Memory

3.6MiB live, 317.6MiB allocated

Rules

5 242×	`lower-/.f32`
5 232×	`lower-/.f64`
4 582×	`lower-fma.f32`
4 580×	`lower-fma.f64`
4 508×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	149
0	42	149
1	186	141
2	1513	141
0	8403	141

Stop Event

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

Counts

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

Outputs
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eval284.0ms (4%)

Memory: 21.8MiB live, 342.4MiB allocated
Compiler: Compiled 25 448 to 2 901 computations (88.6% saved)

prune57.0ms (0.8%)

Memory

-16.3MiB live, 103.2MiB allocated

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	1 380	7	1 387
Fresh	3	5	8
Picked	2	3	5
Done	1	2	3
Total	1 386	17	1 403

Accuracy

100.0%

Counts

1 403 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.7%	(/.f64 (fma.f64 (.f64 y z) (/.f64 (-.f64 z y) z) (.f64 (-.f64 z y) x)) (*.f64 (-.f64 z y) (/.f64 (-.f64 z y) z)))
▶	79.4%	(/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y))
▶	41.6%	(*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) (+.f64 y x))
	42.5%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y)))
	46.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 z (/.f64 (-.f64 z y) x)))
	38.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))
	21.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)))
✓	49.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
✓	46.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z))
	18.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z))
✓	47.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
✓	32.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
✓	32.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
▶	21.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y))))
	17.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y)))
▶	2.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))))
▶	39.5%	#s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y))

Compiler

Compiled 257 to 216 computations (16% saved)

simplify374.0ms (5.3%)

Memory

3.9MiB live, 78.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

4 208×	`lower-fma.f64`
4 208×	`lower-fma.f32`
1 720×	`lower-*.f32`
1 710×	`lower-*.f64`
1 422×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	197
0	55	197
1	112	193
2	201	193
3	306	193
4	476	193
5	628	193
6	1225	193
7	2666	193
8	4167	193
9	5018	193
10	5607	193
11	5638	193
12	5646	193
13	6429	193
14	6789	193
15	6833	193
16	6991	193
17	7087	193
18	7089	193
19	7091	193
20	7095	193
21	7095	193
22	7095	193
23	7171	193
24	7269	193
25	7512	193
26	7512	193
0	7512	193

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize90.0ms (1.3%)

Memory

-3.2MiB live, 115.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 y)
accuracy	0.01171875	(/.f64 z #s(approx (- z y) (neg.f64 y)))
accuracy	6.250983080373306	(*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) (+.f64 y x))
accuracy	31.102039235293923	#s(approx (- z y) (neg.f64 y))
accuracy	0	(-.f64 z y)
accuracy	0.01171875	(/.f64 z (-.f64 z y))
accuracy	6.1970288656172405	(*.f64 (/.f64 z (-.f64 z y)) y)
accuracy	33.29352677118302	#s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y))
accuracy	0	(neg.f64 x)
accuracy	4.6978233632501	(*.f64 (neg.f64 x) (/.f64 z y))
accuracy	29.1487221130977	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y))))
accuracy	31.039525928401105	#s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y)))
accuracy	0	(/.f64 y z)
accuracy	0.14453125	(*.f64 y (/.f64 y z))
accuracy	32.369874358572844	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))))
accuracy	42.36621159059606	#s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))
accuracy	0	(-.f64 z y)
accuracy	0	(+.f64 x y)
accuracy	0.0078125	(*.f64 (+.f64 x y) z)
accuracy	13.194716670425954	(/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y))

Samples

67.0ms

256×

valid

Compiler

Compiled 136 to 27 computations (80.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-div: 29.0ms (55.7% of total)

ival-add: 9.0ms (17.3% of total)

ival-mult: 9.0ms (17.3% of total)

ival-sub: 2.0ms (3.8% of total)

ival-neg: 2.0ms (3.8% of total)

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

exact: 0.0ms (0% of total)

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

series70.0ms (1%)

Memory

16.2MiB live, 53.4MiB allocated

Counts

19 → 540

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
36.0ms	x	@	inf	((/ (* (+ x y) z) (- z y)) (* (+ x y) z) (+ x y) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (+ (* (/ y z) (+ y x)) y) x) (* y (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (* (neg x) (/ z y)) (neg x) (* (/ z (- z y)) (+ y x)) (* (/ z (- z y)) y) (/ z (- z y)) (* (/ z (- z y)) (+ y x)) (/ z (- z y)) (- z y) (neg y))
6.0ms	y	@	0	((/ (* (+ x y) z) (- z y)) (* (+ x y) z) (+ x y) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (+ (* (/ y z) (+ y x)) y) x) (* y (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (* (neg x) (/ z y)) (neg x) (* (/ z (- z y)) (+ y x)) (* (/ z (- z y)) y) (/ z (- z y)) (* (/ z (- z y)) (+ y x)) (/ z (- z y)) (- z y) (neg y))
2.0ms	z	@	-inf	((/ (* (+ x y) z) (- z y)) (* (+ x y) z) (+ x y) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (+ (* (/ y z) (+ y x)) y) x) (* y (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (* (neg x) (/ z y)) (neg x) (* (/ z (- z y)) (+ y x)) (* (/ z (- z y)) y) (/ z (- z y)) (* (/ z (- z y)) (+ y x)) (/ z (- z y)) (- z y) (neg y))
2.0ms	z	@	0	((/ (* (+ x y) z) (- z y)) (* (+ x y) z) (+ x y) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (+ (* (/ y z) (+ y x)) y) x) (* y (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (* (neg x) (/ z y)) (neg x) (* (/ z (- z y)) (+ y x)) (* (/ z (- z y)) y) (/ z (- z y)) (* (/ z (- z y)) (+ y x)) (/ z (- z y)) (- z y) (neg y))
2.0ms	x	@	-inf	((/ (* (+ x y) z) (- z y)) (* (+ x y) z) (+ x y) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (+ (* (/ y z) (+ y x)) y) x) (* y (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (* (neg x) (/ z y)) (neg x) (* (/ z (- z y)) (+ y x)) (* (/ z (- z y)) y) (/ z (- z y)) (* (/ z (- z y)) (+ y x)) (/ z (- z y)) (- z y) (neg y))

simplify185.0ms (2.6%)

Memory

-14.7MiB live, 232.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 608×	`lower-fma.f64`
12 608×	`lower-fma.f32`
5 122×	`lower-*.f64`
5 122×	`lower-*.f32`
3 512×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	493	6279
1	1607	5824
2	4690	5570
0	8474	5327

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 516

Calls

Call 1

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

rewrite159.0ms (2.2%)

Memory

9.3MiB live, 235.6MiB allocated

Rules

5 142×	`lower-/.f32`
5 132×	`lower-/.f64`
5 006×	`lower-*.f32`
4 996×	`lower-*.f64`
2 650×	`lower--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	175
0	55	175
1	215	171
2	1880	171
0	8284	171

Stop Event

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

Counts

19 → 540

Calls

Call 1

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

Outputs
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval171.0ms (2.4%)

Memory: 23.6MiB live, 333.9MiB allocated
Compiler: Compiled 16 856 to 2 156 computations (87.2% saved)

prune45.0ms (0.6%)

Memory

-11.2MiB live, 110.4MiB allocated

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	1 100	6	1 106
Fresh	3	4	7
Picked	2	3	5
Done	0	5	5
Total	1 105	18	1 123

Accuracy

100.0%

Counts

1 123 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.0%	(/.f64 (*.f64 (+.f64 y x) z) #s(approx (- z y) (neg.f64 y)))
	42.5%	(/.f64 #s(approx (* (+ x y) z) (*.f64 x z)) (-.f64 z y))
	40.8%	(.f64 #s(approx (/ z (- z y)) (.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 z y) y)) z)) (+.f64 y x))
	46.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 z (/.f64 (-.f64 z y) x)))
	38.8%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))
	21.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)))
✓	49.9%	#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
✓	46.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z))
	18.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z))
✓	47.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
✓	32.4%	#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
✓	32.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)))
	20.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (/.f64 (*.f64 (neg.f64 x) z) y)))
✓	21.2%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y))))
	17.7%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 (/.f64 y z) y y)))
✓	2.6%	#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))))
✓	39.5%	#s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y))
	18.0%	#s(approx (* (/ z (- z y)) (+ y x)) (*.f64 #s(approx (/ z (- z y)) #s(literal 1 binary64)) y))

Compiler

Compiled 501 to 270 computations (46.1% saved)

regimes53.0ms (0.7%)

Memory

15.0MiB live, 93.0MiB allocated

Counts

37 → 3

Calls

Call 1

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

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

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

Calls

4 calls:

17.0ms	y
10.0ms	z
10.0ms	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
10.0ms	x

Results

Accuracy	Segments	Branch
90.2%	1	`x`
95.4%	3	`y`
97.2%	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)

regimes13.0ms (0.2%)

Memory

-16.6MiB live, 19.8MiB allocated

Counts

29 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

11.0ms

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

Results

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes9.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

28 → 3

Calls

Call 1

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

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:

8.0ms

(/.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)

regimes28.0ms (0.4%)

Memory

10.1MiB live, 46.8MiB allocated

Counts

19 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
71.5%	4	`x`
76.8%	5	`y`
81.2%	3	`z`
74.1%	5	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes28.0ms (0.4%)

Memory

-11.0MiB live, 23.9MiB allocated

Counts

18 → 3

Calls

Call 1

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

Outputs

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

Calls

1 calls:

27.0ms

Results

Accuracy	Segments	Branch
79.3%	3	`z`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

16 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
79.1%	3	`z`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes55.0ms (0.8%)

Memory

-7.9MiB live, 33.5MiB allocated

Counts

12 → 4

Calls

Call 1

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

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

Calls

4 calls:

42.0ms	z
4.0ms	x
4.0ms	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
4.0ms	y

Results

Accuracy	Segments	Branch
59.7%	3	`x`
68.0%	5	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`
68.4%	5	`y`
68.2%	4	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes4.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

8 → 4

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
68.1%	4	`z`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes16.0ms (0.2%)

Memory

-27.8MiB live, 10.9MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs
#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))) (+.f64 y x))

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
65.7%	3	`z`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

21.6MiB live, 21.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
32.4%	1	`x`
32.4%	1	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`
32.4%	1	`y`
32.4%	1	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.2669242774082355e-228
0.0ms	-5.780597903923482e-293	-0.0

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.2669242774082355e-228
0.0ms	-5.780597903923482e-293	-0.0

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.2669242774082355e-228
0.0ms	-5.780597903923482e-293	-0.0

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch41.0ms (0.6%)

Memory

-68.2MiB live, 91.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.631159153496558e-65	2.3575514878931742e-63
17.0ms	-7.879011439371796e-42	-7.823332950850224e-48

Samples

17.0ms

256×

valid

Compiler

Compiled 265 to 272 computations (-2.6% saved)

Precisions

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

ival-div: 7.0ms (67.8% of total)

ival-sub: 1.0ms (9.7% of total)

ival-add: 1.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.631159153496558e-65	2.3575514878931742e-63
1.0ms	-7.879011439371796e-42	-7.823332950850224e-48

Compiler

Compiled 249 to 272 computations (-9.2% saved)

bsearch2.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.631159153496558e-65	2.3575514878931742e-63
1.0ms	-7.879011439371796e-42	-7.823332950850224e-48

Compiler

Compiled 204 to 254 computations (-24.5% saved)

bsearch72.0ms (1%)

Memory

4.5MiB live, 43.3MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
6.0ms	2.631159153496558e-65	2.3575514878931742e-63
49.0ms	3.1778527859082494e-195	1.8994054896317533e-192
14.0ms	-5.544703792299525e-54	-1.5027175852474884e-64

Samples

56.0ms

352×

valid

Compiler

Compiled 269 to 368 computations (-36.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-sub: 40.0ms (84.8% of total)

ival-div: 4.0ms (8.5% of total)

ival-add: 2.0ms (4.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
0.0ms	2.631159153496558e-65	2.3575514878931742e-63
1.0ms	3.1778527859082494e-195	1.8994054896317533e-192
1.0ms	-5.544703792299525e-54	-1.5027175852474884e-64

Compiler

Compiled 269 to 368 computations (-36.8% saved)

bsearch13.0ms (0.2%)

Memory

12.1MiB live, 12.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.631159153496558e-65	2.3575514878931742e-63
11.0ms	-8.22163388756996e-93	-8.417504228489258e-97

Samples

6.0ms

128×

valid

Compiler

Compiled 117 to 194 computations (-65.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 2.0ms (62.7% of total)

ival-sub: 1.0ms (31.4% of total)

ival-add: 1.0ms (31.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify40.0ms (0.6%)

Memory

-24.7MiB live, 50.5MiB allocated

Algorithm

1×	egg-herbie

Rules

40×	`-commutative-binary64-.f64`
34×	`+-commutative-binary64-+.f64`
32×	`sub-neg-binary64-neg.f64-+.f64--.f64`
24×	`neg-sub0-binary64--.f64-neg.f64`
24×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	543
1	109	543
2	146	543
3	176	543
4	191	543
5	194	543

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -2247116418577895/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 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 #s(literal 1 binary64) (/.f64 y x))) 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 -2247116418577895/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 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 -2247116418577895/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 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 z #s(literal -8677465438998547/1606938044258990275541962092341162602522202993782792835301376 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x))) (if (<=.f64 z #s(literal 6669624340069413/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) (/.f64 (*.f64 (+.f64 y x) z) #s(approx (- z y) (neg.f64 y))) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))))
(if (<=.f64 z #s(literal -8677465438998547/1606938044258990275541962092341162602522202993782792835301376 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x))) (if (<=.f64 z #s(literal 6669624340069413/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))))
(if (<=.f64 z #s(literal -8677465438998547/1606938044258990275541962092341162602522202993782792835301376 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 z #s(literal 6669624340069413/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))))
(if (<=.f64 z #s(literal -4594630100936707/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 z #s(literal 80134882875151/10273702932711667006330058365000251299903007427389011444332579888806117488861485980690754953667164943802701111047223081470741078613640241920171513223929454785068796232672743355843093277117817807170494632296448 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (/.f64 (*.f64 (neg.f64 x) z) y))) (if (<=.f64 z #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)))))
(if (<=.f64 z #s(literal -4594630100936707/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 z #s(literal 80134882875151/10273702932711667006330058365000251299903007427389011444332579888806117488861485980690754953667164943802701111047223081470741078613640241920171513223929454785068796232672743355843093277117817807170494632296448 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y)))) (if (<=.f64 z #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)))))
(if (<=.f64 z #s(literal -183186321456359/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 z #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #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))

Outputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -2247116418577895/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 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 #s(literal 1 binary64) (/.f64 y x))) 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 -2247116418577895/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 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 #s(literal 1 binary64) (/.f64 y x))) 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 -2247116418577895/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 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 -2247116418577895/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 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 -2247116418577895/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 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 -2247116418577895/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 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 z #s(literal -8677465438998547/1606938044258990275541962092341162602522202993782792835301376 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x))) (if (<=.f64 z #s(literal 6669624340069413/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) (/.f64 (*.f64 (+.f64 y x) z) #s(approx (- z y) (neg.f64 y))) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))))
(if (<=.f64 z #s(literal -8677465438998547/1606938044258990275541962092341162602522202993782792835301376 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 x z) y x) y)) (if (<=.f64 z #s(literal 6669624340069413/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) (/.f64 (*.f64 (+.f64 y x) z) #s(approx (- z y) (neg.f64 y))) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))))
(if (<=.f64 z #s(literal -8677465438998547/1606938044258990275541962092341162602522202993782792835301376 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x))) (if (<=.f64 z #s(literal 6669624340069413/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))))
(if (<=.f64 z #s(literal -8677465438998547/1606938044258990275541962092341162602522202993782792835301376 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 x z) y x) y)) (if (<=.f64 z #s(literal 6669624340069413/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))))
(if (<=.f64 z #s(literal -8677465438998547/1606938044258990275541962092341162602522202993782792835301376 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 z #s(literal 6669624340069413/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))))
(if (<=.f64 z #s(literal -4594630100936707/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 z #s(literal 80134882875151/10273702932711667006330058365000251299903007427389011444332579888806117488861485980690754953667164943802701111047223081470741078613640241920171513223929454785068796232672743355843093277117817807170494632296448 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (/.f64 (*.f64 (neg.f64 x) z) y))) (if (<=.f64 z #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)))))
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(if (<=.f64 z #s(literal -183186321456359/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 z #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #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))

soundness1.2s (17.5%)

Memory

56.5MiB live, 954.4MiB allocated

Rules

17 244×	`lower-fma.f64`
17 244×	`lower-fma.f32`
16 174×	`lower-fma.f64`
16 174×	`lower-fma.f32`
11 562×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	958
1	589	915
2	1844	852
3	7144	833
0	8245	790
0	28	144
0	45	145
1	205	140
2	1849	140
0	8296	140
0	486	6166
1	1567	5758
2	4525	5312
0	8165	5025
0	8	20
0	12	20
1	56	20
2	432	20
3	7705	20
0	8025	20
0	382	5934
1	1260	5662
2	3750	5064
0	8437	4847
0	38	175
0	55	175
1	215	171
2	1880	171
0	8284	171

Stop Event

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

Compiler

Compiled 555 to 267 computations (51.9% saved)

preprocess124.0ms (1.7%)

Memory: -18.6MiB live, 170.4MiB allocated
Compiler: Compiled 722 to 200 computations (72.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

start0.0ms (0%)

analyze72.0ms (1%)

sample817.0ms (11.5%)

explain103.0ms (1.5%)

preprocess194.0ms (2.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify36.0ms (0.5%)

localize22.0ms (0.3%)

series11.0ms (0.1%)

simplify215.0ms (3%)

rewrite126.0ms (1.8%)

eval87.0ms (1.2%)

prune40.0ms (0.6%)

simplify285.0ms (4%)

localize66.0ms (0.9%)

series62.0ms (0.9%)

simplify213.0ms (3%)

rewrite304.0ms (4.3%)

eval394.0ms (5.5%)

prune72.0ms (1%)

simplify273.0ms (3.8%)

localize102.0ms (1.4%)

series37.0ms (0.5%)

simplify204.0ms (2.9%)

rewrite176.0ms (2.5%)

eval284.0ms (4%)

prune57.0ms (0.8%)

simplify374.0ms (5.3%)

localize90.0ms (1.3%)

series70.0ms (1%)

simplify185.0ms (2.6%)

rewrite159.0ms (2.2%)

eval171.0ms (2.4%)

prune45.0ms (0.6%)

regimes53.0ms (0.7%)

regimes13.0ms (0.2%)

regimes9.0ms (0.1%)

regimes28.0ms (0.4%)

regimes28.0ms (0.4%)

regimes6.0ms (0.1%)

regimes55.0ms (0.8%)

regimes4.0ms (0.1%)

regimes16.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch41.0ms (0.6%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch72.0ms (1%)

bsearch3.0ms (0%)

bsearch13.0ms (0.2%)

simplify40.0ms (0.6%)

soundness1.2s (17.5%)

preprocess124.0ms (1.7%)

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