Metrics for Statistics.Sample:$swelfordMean from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze47.0ms (1.1%)

Memory

2.0MiB live, 60.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample589.0ms (13.3%)

Memory

19.4MiB live, 1 085.1MiB allocated

Samples

359.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 168.0ms

ival-div: 63.0ms (37.4% of total)

ival-sub: 56.0ms (33.2% of total)

ival-add: 40.0ms (23.7% of total)

ival-true: 6.0ms (3.6% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

explain63.0ms (1.4%)

Memory

-19.3MiB live, 103.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 y x)`
-	-	`(/.f64 (-.f64 y x) z)`
-	-	`y`
-	-	`(+.f64 x (/.f64 (-.f64 y x) z))`
-	-	`z`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

24.0ms

512×

valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

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

ival-div: 4.0ms (41% of total)

ival-sub: 3.0ms (30.8% of total)

ival-add: 2.0ms (20.5% of total)

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

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

preprocess126.0ms (2.8%)

Memory

-13.1MiB live, 76.8MiB allocated

Algorithm

1×	egg-herbie

Rules

624×	`lower-fma.f64`
624×	`lower-fma.f32`
480×	`div-sub`
476×	`times-frac`
430×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	78	63
2	229	63
3	682	63
4	1689	63
5	3091	63
6	3495	63
7	3694	63
8	3817	63
9	3865	63
10	3865	63
0	6	7
0	9	7
1	15	7
2	26	7
3	45	7
4	88	7
5	158	7
6	350	7
7	636	7
8	905	7
9	986	7
10	1034	7
11	1073	7
0	1073	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify34.0ms (0.8%)

Memory

-0.5MiB live, 38.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 y x)
cost-diff	0	(/.f64 (-.f64 y x) z)
cost-diff	0	(+.f64 x (/.f64 (-.f64 y x) z))

Rules

624×	`lower-fma.f64`
624×	`lower-fma.f32`
256×	`lower-*.f64`
256×	`lower-*.f32`
160×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	26	18
3	45	18
4	88	18
5	158	18
6	350	18
7	636	18
8	905	18
9	986	18
10	1034	18
11	1073	18
0	1073	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize17.0ms (0.4%)

Memory

20.8MiB live, 20.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y x)
accuracy	0	(+.f64 x (/.f64 (-.f64 y x) z))
accuracy	0.01953125	(/.f64 (-.f64 y x) z)

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 2.0ms (42.8% of total)

ival-sub: 1.0ms (21.4% of total)

ival-add: 1.0ms (21.4% of total)

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

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

series13.0ms (0.3%)

Memory

-25.3MiB live, 13.6MiB allocated

Counts

3 → 96

Calls

Call 1

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

Inputs

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

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

#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())

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

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(/ (- y x) z)
1.0ms	y	@	inf	(/ (- y x) z)
1.0ms	x	@	0	(/ (- y x) z)
1.0ms	y	@	-inf	(+ x (/ (- y x) z))
1.0ms	x	@	inf	(+ x (/ (- y x) z))

simplify213.0ms (4.8%)

Memory

26.7MiB live, 143.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 368×	`lower-fma.f64`
6 368×	`lower-fma.f32`
2 116×	`lower-*.f64`
2 116×	`lower-*.f32`
1 680×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	562
1	198	460
2	553	460
3	1579	460
4	3533	460
5	5023	460
6	6476	460
7	6764	460
8	6866	460
9	6866	460
0	8129	457

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 91

Calls

Call 1

Inputs
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(/ y z)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(* -1 (/ x z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(/ y z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/ y z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/ y z)
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y (* x z)) (/ 1 z)))
(* -1 (/ x z))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(* -1 x)
(- y x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))

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

rewrite302.0ms (6.8%)

Memory

11.1MiB live, 201.5MiB allocated

Rules

3 808×	`lower-*.f64`
3 808×	`lower-*.f32`
3 560×	`lower-fma.f64`
3 560×	`lower-fma.f32`
2 654×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	46	15
2	408	15
3	5406	15
0	8250	15

Stop Event

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

Counts

3 → 338

Calls

Call 1

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

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

eval78.0ms (1.8%)

Memory: -24.2MiB live, 61.3MiB allocated
Compiler: Compiled 9 183 to 1 061 computations (88.4% saved)

prune91.0ms (2.1%)

Memory

0.4MiB live, 79.1MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	424	5	429
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	425	5	430

Accuracy

100.0%

Counts

430 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
▶	76.2%	(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
▶	64.6%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
▶	41.3%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
▶	62.6%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 92 to 52 computations (43.5% saved)

simplify40.0ms (0.9%)

Memory

10.4MiB live, 10.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

688×	`lower-fma.f64`
688×	`lower-fma.f32`
288×	`lower-*.f64`
288×	`lower-*.f32`
184×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	112
0	26	110
1	36	110
2	57	110
3	103	110
4	222	110
5	406	110
6	669	110
7	929	110
8	1253	110
9	1279	110
10	1281	110
0	1281	110

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize91.0ms (2%)

Memory

-0.9MiB live, 37.9MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y z)
accuracy	0	(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
accuracy	31.71542983921109	#s(approx (/ (- y x) z) (/.f64 y z))
accuracy	0	(-.f64 y x)
accuracy	0.01953125	(/.f64 (-.f64 y x) z)
accuracy	22.646676349089372	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
accuracy	0	(/.f64 x z)
accuracy	0	(-.f64 x (/.f64 x z))
accuracy	23.96626202505061	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
accuracy	0	(/.f64 y z)
accuracy	37.585030410130805	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
accuracy	0	(/.f64 y z)
accuracy	0	(/.f64 x z)
accuracy	0	(-.f64 (/.f64 x z) x)
accuracy	1.1562438074906174	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))

Samples

72.0ms

256×

valid

Compiler

Compiled 90 to 13 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 5.0ms (44.8% of total)

ival-sub: 4.0ms (35.9% of total)

ival-add: 1.0ms (9% of total)

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

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

series13.0ms (0.3%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

12 → 372

Calls

Call 1

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

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

Calls

93 calls:

Time	Variable		Point	Expression
0.0ms	z	@	-inf	(- (/ y z) (- (/ x z) x))
0.0ms	y	@	-inf	(/ y z)
0.0ms	x	@	inf	(- (/ x z) x)
0.0ms	z	@	inf	(- (/ y z) (- (/ x z) x))
0.0ms	y	@	inf	(/ y z)

simplify214.0ms (4.8%)

Memory

-8.2MiB live, 81.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 342×	`lower-fma.f64`
6 342×	`lower-fma.f32`
2 518×	`lower-*.f64`
2 518×	`lower-*.f32`
1 396×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	88	1914
1	253	1872
2	662	1872
3	2112	1872
4	5087	1872
5	6901	1872
0	8022	1872

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 357

Calls

Call 1

Inputs
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(/ y z)
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
x
(+ x (* -1 (/ (- (* -1 y) (* -1 x)) z)))
(+ x (* -1 (/ (- (* -1 y) (* -1 x)) z)))
(+ x (* -1 (/ (- (* -1 y) (* -1 x)) z)))
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- 1 (/ 1 z))))
(/ x z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* -1 (* x z))) z)
(* -1 x)
(- (/ x z) x)
(- (/ x z) x)
(- (/ x z) x)
(* -1 x)
(- (/ x z) x)
(- (/ x z) x)
(- (/ x z) x)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(/ y z)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(/ y z)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(* x (- 1 (/ 1 z)))
(* x (- 1 (/ 1 z)))
(* x (- 1 (/ 1 z)))
(* x (- 1 (/ 1 z)))
(* x (- 1 (/ 1 z)))
(* x (- 1 (/ 1 z)))
(* x (- 1 (/ 1 z)))
(* x (- 1 (/ 1 z)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (/ x z))
(/ (- (* x z) x) z)
(/ (- (* x z) x) z)
(/ (- (* x z) x) z)
x
(+ x (* -1 (/ x z)))
(+ x (* -1 (/ x z)))
(+ x (* -1 (/ x z)))
x
(+ x (* -1 (/ x z)))
(+ x (* -1 (/ x z)))
(+ x (* -1 (/ x z)))
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(/ y z)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(* -1 (/ x z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(/ y z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/ y z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/ y z)
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y (* x z)) (/ 1 z)))
(* -1 (/ x z))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(* -1 x)
(- y x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(/ y z)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(* -1 (/ x z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(/ y z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/ y z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/ y z)
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y (* x z)) (/ 1 z)))
(* -1 (/ x z))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)

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

rewrite356.0ms (8%)

Memory

13.7MiB live, 360.2MiB allocated

Rules

4 938×	`lower-*.f64`
4 938×	`lower-*.f32`
4 804×	`lower-/.f32`
4 798×	`lower-/.f64`
2 656×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	90
0	26	88
1	116	88
2	1134	88
0	8146	88

Stop Event

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

Counts

12 → 484

Calls

Call 1

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

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

eval178.0ms (4%)

Memory: -3.6MiB live, 193.7MiB allocated
Compiler: Compiled 17 370 to 1 455 computations (91.6% saved)

prune206.0ms (4.7%)

Memory

-29.8MiB live, 142.1MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	973	2	975
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	974	6	980

Accuracy

100.0%

Counts

980 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.6%	(-.f64 (/.f64 y z) #s(approx (- (/ x z) x) (/.f64 x z)))
✓	76.2%	(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
✓	64.6%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
▶	27.3%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	41.3%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	62.6%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 54 to 30 computations (44.4% saved)

simplify51.0ms (1.2%)

Memory

3.5MiB live, 47.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

752×	`lower-fma.f64`
752×	`lower-fma.f32`
336×	`lower-*.f64`
336×	`lower-*.f32`
200×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	65
0	21	65
1	31	65
2	47	65
3	82	65
4	161	65
5	270	65
6	500	65
7	862	65
8	1192	65
9	1265	65
10	1315	65
11	1336	65
12	1348	65
13	1372	65
14	1381	65
0	1381	65

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize55.0ms (1.2%)

Memory

-10.8MiB live, 67.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y z)
accuracy	0	(/.f64 x z)
accuracy	1.1562438074906174	(-.f64 (/.f64 y z) #s(approx (- (/ x z) x) (/.f64 x z)))
accuracy	32.081131087214175	#s(approx (- (/ x z) x) (/.f64 x z))
accuracy	0	(neg.f64 x)
accuracy	0.01953125	(/.f64 #s(approx (- y x) (neg.f64 x)) z)
accuracy	22.646676349089372	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
accuracy	29.019468270207987	#s(approx (- y x) (neg.f64 x))

Samples

22.0ms

256×

valid

Compiler

Compiled 44 to 13 computations (70.5% saved)

Precisions

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

ival-div: 5.0ms (38.9% of total)

ival-sub: 5.0ms (38.9% of total)

ival-add: 1.0ms (7.8% of total)

ival-neg: 1.0ms (7.8% of total)

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

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

series6.0ms (0.1%)

Memory

16.1MiB live, 16.2MiB allocated

Counts

8 → 216

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+ x (/ (- y x) z))
0.0ms	x	@	inf	(neg x)
0.0ms	x	@	-inf	(- (/ x z) x)
0.0ms	x	@	-inf	(+ x (/ (- y x) z))
0.0ms	x	@	inf	(+ x (/ (- y x) z))

simplify205.0ms (4.6%)

Memory

-0.3MiB live, 268.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 696×	`lower-fma.f64`
7 696×	`lower-fma.f32`
2 420×	`lower-*.f64`
2 420×	`lower-*.f32`
2 048×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	1215
1	248	972
2	651	972
3	2086	972
4	4726	972
5	6001	972
6	6793	972
7	7073	972
8	7089	972
9	7105	972
0	8073	966

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 209

Calls

Call 1

Inputs
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(/ y z)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(* -1 (/ x z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(/ y z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/ y z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/ y z)
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y (* x z)) (/ 1 z)))
(* -1 (/ x z))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(* -1 x)
(- y x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(/ y z)
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
x
(+ x (* -1 (/ (- (* -1 y) (* -1 x)) z)))
(+ x (* -1 (/ (- (* -1 y) (* -1 x)) z)))
(+ x (* -1 (/ (- (* -1 y) (* -1 x)) z)))
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- 1 (/ 1 z))))
(/ x z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* -1 (* x z))) z)
(* -1 x)
(- (/ x z) x)
(- (/ x z) x)
(- (/ x z) x)
(* -1 x)
(- (/ x z) x)
(- (/ x z) x)
(- (/ x z) x)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)

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

rewrite215.0ms (4.9%)

Memory

-0.4MiB live, 482.6MiB allocated

Rules

5 510×	`lower-fma.f64`
5 510×	`lower-fma.f32`
3 896×	`lower-*.f64`
3 896×	`lower-*.f32`
3 674×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	60
0	21	60
1	98	60
2	851	60
0	8846	60

Stop Event

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

Counts

8 → 149

Calls

Call 1

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

Outputs
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (- y x) (neg.f64 x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (- y x) (neg.f64 x)) (neg.f64 z)))
(neg.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) (neg.f64 z)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y x) (neg.f64 x)) (neg.f64 z))))
(/.f64 #s(approx (- y x) (neg.f64 x)) z)
(/.f64 (neg.f64 #s(approx (- y x) (neg.f64 x))) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (- y x) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z #s(approx (- y x) (neg.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z #s(approx (- y x) (neg.f64 x)))))
(pow.f64 (/.f64 z #s(approx (- y x) (neg.f64 x))) #s(literal -1 binary64))
(*.f64 #s(approx (- y x) (neg.f64 x)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (neg.f64 #s(approx (- y x) (neg.f64 x))) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (- y x) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (- y x) (neg.f64 x))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- y x) (neg.f64 x)) (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 z #s(approx (- y x) (neg.f64 x))))))
(*.f64 (pow.f64 (/.f64 z #s(approx (- y x) (neg.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z #s(approx (- y x) (neg.f64 x))) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- y x) (neg.f64 x))))
(neg.f64 (neg.f64 #s(approx (- y x) (neg.f64 x))))
#s(approx (- y x) (neg.f64 x))
(*.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (- y x) (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- y x) (neg.f64 x))))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(neg.f64 x)
(/.f64 (*.f64 x x) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 x (.f64 x (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (.f64 x (.f64 x (neg.f64 x))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (.f64 x (.f64 x (neg.f64 x))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (*.f64 x (neg.f64 x)) x)
(/.f64 (neg.f64 (.f64 x (.f64 x (neg.f64 x)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(*.f64 x #s(literal -1 binary64))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(.f64 (.f64 x (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) x))
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(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 z y))))
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)))
#s(approx (- (/ x z) x) (/.f64 x z))
(*.f64 #s(literal 1 binary64) #s(approx (- (/ x z) x) (/.f64 x z)))
(+.f64 (/.f64 x z) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 x z))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 z)))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64))
(fma.f64 (/.f64 x z) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) z) x #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 z)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 z x))) #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(neg.f64 (/.f64 x (neg.f64 z)))
(neg.f64 (*.f64 (/.f64 x (neg.f64 z)) #s(literal 1 binary64)))
(/.f64 x z)
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 z)) (.f64 z (neg.f64 x))) (*.f64 z z))
(/.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) #s(literal 0 binary64)) (+.f64 (/.f64 (.f64 x x) (.f64 z z)) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x z) #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (neg.f64 z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 x x) (.f64 z z)) (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 z))))))
(/.f64 (-.f64 (/.f64 (.f64 x x) (.f64 z z)) #s(literal 0 binary64)) (-.f64 (/.f64 x z) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 x x) (.f64 z z))) (+.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 z))))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 z x))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)))

eval36.0ms (0.8%)

Memory: 33.8MiB live, 111.6MiB allocated
Compiler: Compiled 4 940 to 391 computations (92.1% saved)

prune52.0ms (1.2%)

Memory

-2.2MiB live, 79.5MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	358	0	358
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	358	6	364

Accuracy

100.0%

Counts

364 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.6%	(-.f64 (/.f64 y z) #s(approx (- (/ x z) x) (/.f64 x z)))
✓	76.2%	(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
✓	64.6%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
✓	27.3%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	41.3%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	62.6%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 109 to 45 computations (58.7% saved)

regimes14.0ms (0.3%)

Memory

-4.2MiB live, 35.3MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
3.0ms	x
3.0ms	y
3.0ms	z

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes11.0ms (0.2%)

Memory

-11.5MiB live, 28.0MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
2.0ms	y
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
86.8%	3	`x`
89.1%	3	`y`
99.1%	3	`z`
86.1%	3	`(+.f64 x (/.f64 (-.f64 y x) z))`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes21.0ms (0.5%)

Memory

-2.6MiB live, 46.9MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

14.0ms	x
2.0ms	z
2.0ms	y
2.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
75.2%	3	`(+.f64 x (/.f64 (-.f64 y x) z))`
82.0%	3	`x`
85.3%	3	`y`
84.9%	3	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes5.0ms (0.1%)

Memory

-24.4MiB live, 14.8MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
66.5%	3	`z`
82.4%	3	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Memory

21.1MiB live, 21.1MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	y
2.0ms	x
1.0ms	z
1.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
44.7%	3	`z`
44.3%	2	`(+.f64 x (/.f64 (-.f64 y x) z))`
51.6%	3	`x`
54.0%	3	`y`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes7.0ms (0.2%)

Memory

-22.3MiB live, 16.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	z
1.0ms	y
1.0ms	x
1.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
41.3%	1	`z`
41.3%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`
41.3%	1	`x`
41.3%	1	`y`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch107.0ms (2.4%)

Memory

14.4MiB live, 53.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
93.0ms	0.0002524097395529916	596978.7104478328
12.0ms	-241.69691046500606	-5.5314761424079044e-17

Samples

95.0ms

304×

valid

Compiler

Compiled 393 to 240 computations (38.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-sub: 84.0ms (95.4% of total)

ival-div: 2.0ms (2.3% of total)

ival-add: 1.0ms (1.1% of total)

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

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

bsearch22.0ms (0.5%)

Memory

4.1MiB live, 45.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	7.1321381276087e-23	2.1118448804747684e-17
8.0ms	-125.33185599578381	-4.12598008104537

Samples

10.0ms

256×

valid

Compiler

Compiled 333 to 204 computations (38.7% saved)

Precisions

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

ival-div: 2.0ms (42.1% of total)

ival-sub: 1.0ms (21.1% of total)

ival-add: 1.0ms (21.1% of total)

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

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

bsearch25.0ms (0.6%)

Memory

-16.9MiB live, 60.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	8.524717122149474e+117	2.0100077863361933e+127
11.0ms	-7.782118525719939e+158	-6.6947447522127e+154

Samples

12.0ms

272×

valid

Compiler

Compiled 319 to 199 computations (37.6% saved)

Precisions

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

ival-sub: 2.0ms (39.3% of total)

ival-div: 2.0ms (39.3% of total)

ival-add: 1.0ms (19.6% of total)

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

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

bsearch16.0ms (0.4%)

Memory

36.0MiB live, 35.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	7.1321381276087e-23	2.1118448804747684e-17
7.0ms	-4.12598008104537	-0.44930146734193344

Samples

8.0ms

192×

valid

Compiler

Compiled 283 to 177 computations (37.5% saved)

Precisions

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

ival-sub: 1.0ms (29.2% of total)

ival-div: 1.0ms (29.2% of total)

ival-add: 1.0ms (29.2% of total)

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

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

simplify40.0ms (0.9%)

Memory

-24.0MiB live, 15.2MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
10×	`sub-neg_binary64`
6×	`*-commutative_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	197
1	55	197
2	64	197
3	69	197
4	72	197
5	73	197

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 z #s(literal -1 binary64)) (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))))
(if (<=.f64 y #s(literal -8 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) (if (<=.f64 y #s(literal 7443676776395529/10633823966279326983230456482242756608 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))))
(if (<=.f64 y #s(literal -9999999999999999833591802231917217145603722750174705363670076144604684175010125545314778769459387417512373883443631050675345073481645737334655103703260856320 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 10999999999999999296253287510930503517949324519083129625799704027454197022504070171933639609315152635032998280324710400 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #s(approx (+ x (/ (- y x) z)) (/.f64 y z))))
(if (<=.f64 y #s(literal -6530219459687219/4503599627370496 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 2764794231232625/10633823966279326983230456482242756608 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z))))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 z #s(literal -1 binary64)) (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))))
(if (<=.f64 y #s(literal -8 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) (if (<=.f64 y #s(literal 7443676776395529/10633823966279326983230456482242756608 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))))
(if (<=.f64 y #s(literal -9999999999999999833591802231917217145603722750174705363670076144604684175010125545314778769459387417512373883443631050675345073481645737334655103703260856320 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 10999999999999999296253287510930503517949324519083129625799704027454197022504070171933639609315152635032998280324710400 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #s(approx (+ x (/ (- y x) z)) (/.f64 y z))))
(if (<=.f64 y #s(literal -6530219459687219/4503599627370496 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 2764794231232625/10633823966279326983230456482242756608 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z))))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

soundness816.0ms (18.4%)

Memory

3.4MiB live, 320.3MiB allocated

Rules

6 368×	`lower-fma.f64`
6 368×	`lower-fma.f32`
6 342×	`lower-fma.f64`
6 342×	`lower-fma.f32`
2 518×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	1914
1	253	1872
2	662	1872
3	2112	1872
4	5087	1872
5	6901	1872
0	8022	1872
0	71	562
1	198	460
2	553	460
3	1579	460
4	3533	460
5	5023	460
6	6476	460
7	6764	460
8	6866	460
9	6866	460
0	8129	457

Stop Event

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

Compiler

Compiled 179 to 81 computations (54.7% saved)

preprocess58.0ms (1.3%)

Memory: -8.2MiB live, 147.8MiB allocated
Compiler: Compiled 240 to 84 computations (65% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze47.0ms (1.1%)

sample589.0ms (13.3%)

explain63.0ms (1.4%)

preprocess126.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify34.0ms (0.8%)

localize17.0ms (0.4%)

series13.0ms (0.3%)

simplify213.0ms (4.8%)

rewrite302.0ms (6.8%)

eval78.0ms (1.8%)

prune91.0ms (2.1%)

simplify40.0ms (0.9%)

localize91.0ms (2%)

series13.0ms (0.3%)

simplify214.0ms (4.8%)

rewrite356.0ms (8%)

eval178.0ms (4%)

prune206.0ms (4.7%)

simplify51.0ms (1.2%)

localize55.0ms (1.2%)

series6.0ms (0.1%)

simplify205.0ms (4.6%)

rewrite215.0ms (4.9%)

eval36.0ms (0.8%)

prune52.0ms (1.2%)

regimes14.0ms (0.3%)

regimes11.0ms (0.2%)

regimes21.0ms (0.5%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.2%)

bsearch107.0ms (2.4%)

bsearch22.0ms (0.5%)

bsearch25.0ms (0.6%)

bsearch16.0ms (0.4%)

simplify40.0ms (0.9%)

soundness816.0ms (18.4%)

preprocess58.0ms (1.3%)

end0.0ms (0%)

Profiling