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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze38.0ms (0.6%)

Memory

4.2MiB live, 86.3MiB 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)

sample1.2s (18.3%)

Memory

-62.8MiB live, 898.3MiB allocated

Samples

475.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 238.0ms

ival-div: 83.0ms (34.9% of total)

ival-sub: 82.0ms (34.4% of total)

ival-add: 64.0ms (26.9% of total)

ival-true: 6.0ms (2.5% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain95.0ms (1.4%)

Memory

17.7MiB live, 164.1MiB 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

23.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-div: 4.0ms (40.5% of total)

ival-sub: 3.0ms (30.3% of total)

ival-add: 2.0ms (20.2% of total)

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

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

preprocess113.0ms (1.7%)

Memory

8.5MiB live, 84.4MiB 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))
(+.f64 (/.f64 (-.f64 y x) z) x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify31.0ms (0.5%)

Memory

1.1MiB live, 39.9MiB 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))
(+.f64 (/.f64 (-.f64 y x) z) x)
x
(/.f64 (-.f64 y x) z)
(-.f64 y x)
y
z

localize29.0ms (0.4%)

Memory

-24.8MiB live, 55.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y x)
accuracy	0.0078125	(+.f64 x (/.f64 (-.f64 y x) z))
accuracy	0.01171875	(/.f64 (-.f64 y x) z)

Samples

24.0ms

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 (42.3% 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)

series8.0ms (0.1%)

Memory

21.7MiB live, 21.7MiB 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 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 (/ (- 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 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 (/ (- 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 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 (/ (- 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 (- 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 (* -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 (* -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 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 (-.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 (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 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 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 (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 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 (/ 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 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 (* 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 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) (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 (- (/ 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 (* -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 (* -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

9 calls:

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

simplify158.0ms (2.4%)

Memory

-18.1MiB live, 178.3MiB 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	460
1	198	460
2	553	460
3	1590	460
4	3540	460
5	5031	460
6	6478	460
7	6764	460
8	6864	460
9	6864	460
0	8148	457

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 91

Calls

Call 1

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

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

rewrite214.0ms (3.2%)

Memory

-7.0MiB live, 289.3MiB 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 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z)) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 (/.f64 (-.f64 x y) z) (-.f64 (/.f64 (-.f64 y x) z) x))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z)) (-.f64 (.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)))) (+.f64 (/.f64 (-.f64 y x) z) x))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)))) (+.f64 (hypot.f64 (/.f64 (-.f64 x y) z) x) (.f64 (/.f64 (-.f64 y x) z) x)))
(.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (-.f64 (/.f64 (-.f64 y x) z) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))))
(.f64 (pow.f64 (-.f64 (hypot.f64 (/.f64 (-.f64 x y) z) x) (.f64 (/.f64 (-.f64 y x) z) x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))))
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 y x) z) x))
(.f64 (-.f64 (hypot.f64 (/.f64 (-.f64 x y) z) x) (.f64 (/.f64 (-.f64 y x) z) x)) (/.f64 (+.f64 (/.f64 (-.f64 y x) z) x) (-.f64 (hypot.f64 (/.f64 (-.f64 x y) z) x) (*.f64 (/.f64 (-.f64 y x) z) x))))
(.f64 (-.f64 (hypot.f64 (/.f64 (-.f64 x y) z) x) (.f64 (/.f64 (-.f64 y x) z) x)) (.f64 (+.f64 (/.f64 (-.f64 y x) z) x) (pow.f64 (-.f64 (hypot.f64 (/.f64 (-.f64 x y) z) x) (.f64 (/.f64 (-.f64 y x) z) x)) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))) (pow.f64 (neg.f64 (-.f64 (hypot.f64 (/.f64 (-.f64 x y) z) x) (.f64 (/.f64 (-.f64 y x) z) x))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (/.f64 (-.f64 x y) z) x) (.f64 (/.f64 (-.f64 y x) z) x)) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (-.f64 x (/.f64 (-.f64 y x) z))))
(.f64 (+.f64 (/.f64 (-.f64 y x) z) x) (.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (-.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 y x) z) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 y x) z) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -4 binary64))) (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64))) (hypot.f64 (/.f64 (-.f64 x y) z) x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -6 binary64))) (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (hypot.f64 (/.f64 (-.f64 x y) z) x) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -6 binary64))) (pow.f64 (-.f64 (hypot.f64 (/.f64 (-.f64 x y) z) x) (.f64 (/.f64 (-.f64 y x) z) x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))))
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(pow.f64 (-.f64 y x) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (hypot.f64 y x))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (hypot.f64 y x) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64))) (hypot.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 y x) #s(literal 3/2 binary64))))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)) (neg.f64 (+.f64 y x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 y x (hypot.f64 y x))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (+.f64 y x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 y x (hypot.f64 y x))))
(/.f64 (-.f64 (pow.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64))) (fma.f64 y (/.f64 y (+.f64 y x)) (*.f64 x (/.f64 x (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 (pow.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (.f64 (.f64 y (/.f64 y (+.f64 y x))) (*.f64 x (/.f64 x (+.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y x (hypot.f64 y x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 y x (hypot.f64 y x)))
(/.f64 (-.f64 (.f64 (.f64 y y) (+.f64 y x)) (.f64 (+.f64 y x) (.f64 x x))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (.f64 (fma.f64 y x (hypot.f64 y x)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (hypot.f64 y x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (+.f64 y x) (fma.f64 (.f64 x x) (hypot.f64 y x) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 y x (hypot.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 y x (hypot.f64 y x)) (hypot.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 y x) #s(literal 3/2 binary64)))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y x (hypot.f64 y x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 y y) (.f64 (neg.f64 x) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 y x (hypot.f64 y x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y x (hypot.f64 y x)))
(neg.f64 (-.f64 x y))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y x) x) #s(literal 2 binary64)))) (-.f64 (.f64 y y) (*.f64 (+.f64 y x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 y x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 y x) x) (-.f64 (.f64 (+.f64 y x) x) (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(fma.f64 (/.f64 (.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (hypot.f64 y x) (.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x)))))
(fma.f64 (/.f64 (.f64 y y) (fma.f64 (neg.f64 x) x (.f64 y y))) (-.f64 y x) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x)))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 y x (hypot.f64 y x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 y x (hypot.f64 y x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(fma.f64 (.f64 y y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (.f64 x (/.f64 x (+.f64 y x)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 y x (hypot.f64 y x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(fma.f64 y (/.f64 y (+.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x)))))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x #s(literal -1 binary64) y)
(-.f64 (+.f64 y #s(literal 0 binary64)) x)
(-.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 x (/.f64 x (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))))
(-.f64 #s(literal 0 binary64) (-.f64 x y))
(-.f64 y x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 y #s(literal 1 binary64)))
(+.f64 (.f64 y #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) y))
(+.f64 (.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1 binary64) (neg.f64 x)))
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 x))
(+.f64 (.f64 y (/.f64 y (+.f64 y x))) (neg.f64 (.f64 x (/.f64 x (+.f64 y x)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(+.f64 (neg.f64 x) y)
(+.f64 y (neg.f64 x))

eval50.0ms (0.7%)

Memory: 28.3MiB live, 102.1MiB allocated
Compiler: Compiled 7 410 to 1 081 computations (85.4% saved)

prune12.0ms (0.2%)

Memory

-14.9MiB live, 33.3MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	423	6	429
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	424	6	430

Accuracy

100.0%

Counts

430 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 x (/.f64 (.f64 (+.f64 y x) (.f64 (-.f64 y x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) z))
▶	76.6%	(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
	86.1%	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z))
▶	65.6%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
▶	42.6%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
▶	62.9%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 96 to 82 computations (14.6% saved)

simplify250.0ms (3.7%)

Memory

-17.7MiB live, 214.6MiB 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 (.f64 (+.f64 y x) (.f64 (-.f64 y x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) z)
cost-diff	0	(+.f64 x (/.f64 (.f64 (+.f64 y x) (.f64 (-.f64 y x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) z))
cost-diff	1408	(.f64 (+.f64 y x) (.f64 (-.f64 y x) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
cost-diff	6080	(*.f64 (-.f64 y x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))

Rules

15 180×	`lower-fma.f64`
15 180×	`lower-fma.f32`
3 544×	`lower-*.f32`
3 540×	`lower-*.f64`
2 484×	`lower-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	158
0	35	188
1	52	188
2	108	126
3	317	126
4	1481	126
5	3913	126
0	8138	126

Stop Event

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

Calls

Call 1

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

localize90.0ms (1.3%)

Memory

30.1MiB live, 118.1MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y z)
accuracy	0.0078125	(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
accuracy	29.183374885978523	#s(approx (/ (- y x) z) (/.f64 y z))
accuracy	0	(-.f64 y x)
accuracy	0.01171875	(/.f64 (-.f64 y x) z)
accuracy	22.04029415707368	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
accuracy	0	(/.f64 x z)
accuracy	0.00390625	(-.f64 x (/.f64 x z))
accuracy	23.509576872363773	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
accuracy	0	(/.f64 y z)
accuracy	36.572382520387315	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
accuracy	0.0078125	(+.f64 x (/.f64 (.f64 (+.f64 y x) (.f64 (-.f64 y x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) z))
accuracy	0.01171875	(/.f64 (.f64 (+.f64 y x) (.f64 (-.f64 y x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) z)
accuracy	0.015625	(.f64 (+.f64 y x) (.f64 (-.f64 y x) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
accuracy	0.171875	(*.f64 (-.f64 y x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))

Samples

76.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 136 to 18 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-sub: 23.0ms (37.4% of total)

ival-div: 16.0ms (26% of total)

ival-add: 14.0ms (22.8% of total)

ival-pow: 4.0ms (6.5% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series25.0ms (0.4%)

Memory

-8.6MiB live, 31.0MiB allocated

Counts

14 → 432

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	((* (- y x) (pow (+ y x) -1)) (* (+ y x) (* (- y x) (pow (+ y x) -1))) (+ x (/ (* (+ y x) (* (- y x) (pow (+ y x) -1))) z)) (/ (* (+ y x) (* (- y x) (pow (+ y x) -1))) z) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ x (/ (- y x) z)) (/ (- y x) z))
1.0ms	x	@	-inf	((* (- y x) (pow (+ y x) -1)) (* (+ y x) (* (- y x) (pow (+ y x) -1))) (+ x (/ (* (+ y x) (* (- y x) (pow (+ y x) -1))) z)) (/ (* (+ y x) (* (- y x) (pow (+ y x) -1))) z) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ x (/ (- y x) z)) (/ (- y x) z))
1.0ms	y	@	inf	((* (- y x) (pow (+ y x) -1)) (* (+ y x) (* (- y x) (pow (+ y x) -1))) (+ x (/ (* (+ y x) (* (- y x) (pow (+ y x) -1))) z)) (/ (* (+ y x) (* (- y x) (pow (+ y x) -1))) z) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ x (/ (- y x) z)) (/ (- y x) z))
1.0ms	z	@	-inf	((* (- y x) (pow (+ y x) -1)) (* (+ y x) (* (- y x) (pow (+ y x) -1))) (+ x (/ (* (+ y x) (* (- y x) (pow (+ y x) -1))) z)) (/ (* (+ y x) (* (- y x) (pow (+ y x) -1))) z) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ x (/ (- y x) z)) (/ (- y x) z))
1.0ms	x	@	inf	((* (- y x) (pow (+ y x) -1)) (* (+ y x) (* (- y x) (pow (+ y x) -1))) (+ x (/ (* (+ y x) (* (- y x) (pow (+ y x) -1))) z)) (/ (* (+ y x) (* (- y x) (pow (+ y x) -1))) z) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ x (/ (- y x) z)) (/ (- y x) z))

simplify272.0ms (4%)

Memory

8.0MiB live, 235.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 612×	`lower-fma.f64`
12 612×	`lower-fma.f32`
3 714×	`lower-*.f64`
3 714×	`lower-*.f32`
1 864×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	183	2675
1	547	2645
2	1548	2528
3	5890	2246
0	8387	2222

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 414

Calls

Call 1

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

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

rewrite347.0ms (5.2%)

Memory

-9.5MiB live, 306.6MiB allocated

Rules

4 668×	`lower-fma.f64`
4 668×	`lower-fma.f32`
4 098×	`lower-/.f32`
4 092×	`lower-/.f64`
3 626×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	130
0	35	150
1	138	98
2	1226	98
0	8560	98

Stop Event

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

Counts

14 → 890

Calls

Call 1

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

eval344.0ms (5.1%)

Memory: 0.3MiB live, 393.6MiB allocated
Compiler: Compiled 28 460 to 2 948 computations (89.6% saved)

prune37.0ms (0.6%)

Memory

23.1MiB live, 150.3MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1 484	2	1 486
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	1 485	7	1 492

Accuracy

100.0%

Counts

1 492 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 x (/.f64 (.f64 (+.f64 y x) (.f64 (+.f64 x y) (/.f64 (/.f64 (-.f64 y x) (+.f64 x y)) (+.f64 x y)))) z))
✓	76.6%	(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
▶	86.1%	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z))
✓	65.6%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
▶	29.0%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	42.6%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	62.9%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 60 to 49 computations (18.3% saved)

simplify229.0ms (3.4%)

Memory

-41.6MiB live, 268.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

14 546×	`lower-fma.f32`
14 544×	`lower-fma.f64`
3 844×	`lower-*.f32`
3 840×	`lower-*.f64`
2 016×	`lower-+.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	22	178
0	37	155
1	68	155
2	144	155
3	459	131
4	1504	123
5	3952	120
0	8107	120

Stop Event

1×	iter limit
1×	node limit
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
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z))
(/.f64 (fma.f64 z x (-.f64 y x)) z)
(fma.f64 z x (-.f64 y x))
z
x
(-.f64 y x)
y
(+.f64 x (/.f64 (.f64 (+.f64 y x) (.f64 (+.f64 x y) (/.f64 (/.f64 (-.f64 y x) (+.f64 x y)) (+.f64 x y)))) z))
x
(/.f64 (.f64 (+.f64 y x) (.f64 (+.f64 x y) (/.f64 (/.f64 (-.f64 y x) (+.f64 x y)) (+.f64 x y)))) z)
(.f64 (+.f64 y x) (.f64 (+.f64 x y) (/.f64 (/.f64 (-.f64 y x) (+.f64 x y)) (+.f64 x y))))
(+.f64 y x)
y
(*.f64 (+.f64 x y) (/.f64 (/.f64 (-.f64 y x) (+.f64 x y)) (+.f64 x y)))
(+.f64 x y)
(/.f64 (/.f64 (-.f64 y x) (+.f64 x y)) (+.f64 x y))
(/.f64 (-.f64 y x) (+.f64 x y))
(-.f64 y x)
z

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

localize83.0ms (1.2%)

Memory

-11.9MiB live, 71.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.015625	(.f64 (+.f64 y x) (.f64 (+.f64 x y) (/.f64 (/.f64 (-.f64 y x) (+.f64 x y)) (+.f64 x y))))
accuracy	0.017910009768442016	(/.f64 (-.f64 y x) (+.f64 x y))
accuracy	0.021816259768442016	(/.f64 (/.f64 (-.f64 y x) (+.f64 x y)) (+.f64 x y))
accuracy	0.18359375	(*.f64 (+.f64 x y) (/.f64 (/.f64 (-.f64 y x) (+.f64 x y)) (+.f64 x y)))
accuracy	0	(fma.f64 z x (-.f64 y x))
accuracy	0	(-.f64 y x)
accuracy	0	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z))
accuracy	8.894680243662426	(/.f64 (fma.f64 z x (-.f64 y x)) z)
accuracy	0	(neg.f64 x)
accuracy	0.01171875	(/.f64 #s(approx (- y x) (neg.f64 x)) z)
accuracy	22.04029415707368	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
accuracy	30.504277829272276	#s(approx (- y x) (neg.f64 x))

Samples

34.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 158 to 20 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 8.0ms (37.1% of total)

ival-mult: 5.0ms (23.2% of total)

ival-add: 5.0ms (23.2% of total)

ival-sub: 2.0ms (9.3% of total)

ival-neg: 1.0ms (4.6% of total)

adjust: 0.0ms (0% of total)

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

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

series38.0ms (0.6%)

Memory

-6.1MiB live, 31.3MiB allocated

Counts

14 → 408

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

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

Calls

9 calls:

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

simplify324.0ms (4.8%)

Memory

6.4MiB live, 196.1MiB allocated

Algorithm

1×	egg-herbie

Rules

13 360×	`lower-fma.f64`
13 360×	`lower-fma.f32`
4 782×	`lower-+.f64`
4 782×	`lower-+.f32`
4 172×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	389	3658
1	1204	3414
2	3678	3262
0	8474	3103

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 388

Calls

Call 1

Inputs
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(- y x)
(- (+ y (* x z)) x)
(- (+ y (* x z)) x)
(- (+ y (* x z)) x)
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y 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 z)
(* z (- (+ x (/ y z)) (/ x z)))
(* z (- (+ x (/ y z)) (/ x z)))
(* z (- (+ x (/ y z)) (/ x z)))
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y 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 z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z)))))
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(- x (/ x z))
(- (+ 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))
(* -1 x)
(- y x)
(- y x)
(- y x)
(/ (- (* x z) x) z)
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (* x z) x)
(- (+ y (* x z)) x)
(- (+ y (* x z)) x)
(- (+ y (* x z)) x)
(* -1 x)
(- y x)
(- y x)
(- y x)
(* -1 x)
(- y x)
(- y x)
(- y x)
-1
(- (* 2 (/ y x)) 1)
(- (* y (+ (* -2 (/ y (pow x 2))) (* 2 (/ 1 x)))) 1)
(- (* y (+ (* y (- (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) 1)
(- x (/ x z))
(- (+ 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))
(/ -1 x)
(- (* 3 (/ y (pow x 2))) (/ 1 x))
(- (* y (+ (* -5 (/ y (pow x 3))) (* 3 (/ 1 (pow x 2))))) (/ 1 x))
(- (* y (+ (* y (- (* 7 (/ y (pow x 4))) (* 5 (/ 1 (pow x 3))))) (* 3 (/ 1 (pow x 2))))) (/ 1 x))
-1
(- (* 2 (/ y x)) 1)
(- (* y (+ (* -2 (/ y (pow x 2))) (* 2 (/ 1 x)))) 1)
(- (* y (+ (* y (- (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) 1)
(/ 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)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(/ 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)
(* 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
(* y (- (+ 1 (/ (* x z) y)) (/ x y)))
(* y (- (+ 1 (/ (* x z) y)) (/ x y)))
(* y (- (+ 1 (/ (* x z) y)) (/ x y)))
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
1
(- (+ 1 (* -1 (/ x y))) (/ x y))
(- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))))) (/ x y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3)))) (+ (/ x y) (/ (* x (- (* -1 x) x)) (pow y 2))))
(/ 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)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/ 1 y)
(/ (- (+ 1 (* -1 (/ x y))) (* 2 (/ x y))) y)
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* 2 (* x (- (* -1 x) (* 2 x)))) (pow x 2)) (pow y 2))))) (* 2 (/ x y))) y)
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* -2 (* x (+ (* 2 (* x (- (* -1 x) (* 2 x)))) (pow x 2)))) (* (pow x 2) (- (* -1 x) (* 2 x)))) (pow y 3))))) (+ (* 2 (/ x y)) (+ (* 2 (/ (* x (- (* -1 x) (* 2 x))) (pow y 2))) (/ (pow x 2) (pow y 2))))) y)
1
(- (+ 1 (* -1 (/ x y))) (/ x y))
(- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))))) (/ x y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3)))) (+ (/ x y) (/ (* x (- (* -1 x) x)) (pow y 2))))
(/ 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 z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(/ 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 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
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1)))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
1
(- (+ 1 (* -1 (/ x y))) (/ x y))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) x)) (/ (* x (- (* -1 x) x)) y)) y)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) x)) (* -1 (/ (+ (* -1 (* x (- (* -1 x) x))) (/ (* (pow x 2) (- (* -1 x) x)) y)) y))) y)))
(/ 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 z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/ 1 y)
(* -1 (/ (- (/ x y) (+ 1 (* -2 (/ x y)))) y))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- x (* -2 x))) (* -1 (/ (+ (* -2 (* x (- x (* -2 x)))) (pow x 2)) y))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- x (* -2 x))) (* -1 (/ (+ (* -2 (* x (- x (* -2 x)))) (+ (* -1 (/ (+ (* 2 (* x (+ (* -2 (* x (- x (* -2 x)))) (pow x 2)))) (* (pow x 2) (- x (* -2 x)))) y)) (pow x 2))) y))) y)) 1) y))
1
(- (+ 1 (* -1 (/ x y))) (/ x y))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) x)) (/ (* x (- (* -1 x) x)) y)) y)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) x)) (* -1 (/ (+ (* -1 (* x (- (* -1 x) x))) (/ (* (pow x 2) (- (* -1 x) x)) y)) y))) y)))
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(/ y z)
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
y
(+ y (* x (- z 1)))
(+ y (* x (- z 1)))
(+ y (* x (- z 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
1
(+ 1 (* -2 (/ x y)))
(+ 1 (* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y)))))
(+ 1 (* x (- (* x (+ (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))))
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(/ y z)
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(/ 1 y)
(+ (* -3 (/ x (pow y 2))) (/ 1 y))
(+ (* x (- (* 5 (/ x (pow y 3))) (* 3 (/ 1 (pow y 2))))) (/ 1 y))
(+ (* x (- (* x (+ (* -7 (/ x (pow y 4))) (* 5 (/ 1 (pow y 3))))) (* 3 (/ 1 (pow y 2))))) (/ 1 y))
1
(+ 1 (* -2 (/ x y)))
(+ 1 (* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y)))))
(+ 1 (* x (- (* x (+ (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))))
(* 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 z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y (* x z)) (/ 1 z)))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (* x (- z 1)) z)
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 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)))
(* x (- z 1))
(* x (- (+ z (/ y x)) 1))
(* x (- (+ z (/ y x)) 1))
(* x (- (+ z (/ y x)) 1))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
-1
(- (/ y x) (+ 1 (* -1 (/ y x))))
(- (+ (* -1 (/ (* y (- y (* -1 y))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ y x))))
(- (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3))) (+ 1 (+ (* -1 (/ y x)) (/ (* y (- y (* -1 y))) (pow x 2)))))
(* 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 z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y (* x z)) (/ 1 z)))
(/ -1 x)
(/ (- (/ y x) (+ 1 (* -2 (/ y x)))) x)
(/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (* 2 (* y (- y (* -2 y))))) (pow x 2))) (/ y x)) (+ 1 (* -2 (/ y x)))) x)
(/ (- (+ (* -1 (/ (+ (* -2 (* y (+ (* -1 (pow y 2)) (* 2 (* y (- y (* -2 y))))))) (* (pow y 2) (- y (* -2 y)))) (pow x 3))) (/ y x)) (+ 1 (+ (* -2 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ (* y (- y (* -2 y))) (pow x 2))))))) x)
-1
(- (/ y x) (+ 1 (* -1 (/ y x))))
(- (+ (* -1 (/ (* y (- y (* -1 y))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ y x))))
(- (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3))) (+ 1 (+ (* -1 (/ y x)) (/ (* y (- y (* -1 y))) (pow x 2)))))
(* -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)))
(* -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))))
(* -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 (* -1 z))) z))
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z)))))
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z)))))
(* -1 (* x (+ -1 (+ (* -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)))
(* -1 (* x (+ 1 (* -1 z))))
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x))))))
(* -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 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
-1
(- (* -1 (/ (- (* -1 y) y) x)) 1)
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) y)) x))) y) x)) 1)
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) y)) x)) (* -1 (* y (- (* -1 y) y)))) x))) y) x)) 1)
(* -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)))
(* -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))))
(/ -1 x)
(* -1 (/ (+ 1 (* -1 (/ (- y (* -2 y)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (+ (* -2 (/ (* y (- y (* -2 y))) x)) (/ (pow y 2) x))) (* -2 y)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (+ (* 2 (/ (* y (+ (* -2 (* y (- y (* -2 y)))) (pow y 2))) x)) (/ (* (pow y 2) (- y (* -2 y))) x)) (+ (* -2 (* y (- y (* -2 y)))) (pow y 2))) x))) (* -2 y)) x))) x))
-1
(- (* -1 (/ (- (* -1 y) y) x)) 1)
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) y)) x))) y) x)) 1)
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) y)) x)) (* -1 (* y (- (* -1 y) y)))) x))) y) x)) 1)

Outputs
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (fma.f64 z x (-.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)) x) z)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
(- y x)
(-.f64 y x)
(- (+ y (* x z)) x)
(fma.f64 z x (-.f64 y x))
(- (+ y (* x z)) x)
(fma.f64 z x (-.f64 y x))
(- (+ y (* x z)) x)
(fma.f64 z x (-.f64 y x))
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (fma.f64 z x (-.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)
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(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
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(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(/ (- y x) z)
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(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
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(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
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x
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(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(* x z)
(*.f64 z x)
(* z (- (+ x (/ y z)) (/ x z)))
(*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) z)
(* z (- (+ x (/ y z)) (/ x z)))
(*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) z)
(* z (- (+ x (/ y z)) (/ x z)))
(*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) z)
x
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(/ (- 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)
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(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(/ (- 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)
x
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
x
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(* x z)
(*.f64 z x)
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z)))))
(*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z)))))
(*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z)))))
(*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) z)
x
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(/ (- 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)
(- x (/ x z))
(-.f64 x (/.f64 x z))
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
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(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(* -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)
(* -1 x)
(neg.f64 x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(/ (- (* x z) x) z)
(-.f64 x (/.f64 x z))
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- x (/ x z))
(-.f64 x (/.f64 x z))
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (* x z) x)
(fma.f64 z x (neg.f64 x))
(- (+ y (* x z)) x)
(fma.f64 z x (-.f64 y x))
(- (+ y (* x z)) x)
(fma.f64 z x (-.f64 y x))
(- (+ y (* x z)) x)
(fma.f64 z x (-.f64 y x))
(* -1 x)
(neg.f64 x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -1 binary64))
(- (* y (+ (* -2 (/ y (pow x 2))) (* 2 (/ 1 x)))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64))) x))
(- (* y (+ (* y (- (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) 1)
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) y (/.f64 #s(literal 2 binary64) x)) y #s(literal -1 binary64))
(- x (/ x z))
(-.f64 x (/.f64 x z))
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
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(+.f64 (/.f64 (-.f64 y x) z) x)
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(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
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(/.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)
(/.f64 #s(literal -1 binary64) x)
(- (* 3 (/ y (pow x 2))) (/ 1 x))
(/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 y x) #s(literal -1 binary64)) x)
(- (* y (+ (* -5 (/ y (pow x 3))) (* 3 (/ 1 (pow x 2))))) (/ 1 x))
(fma.f64 (fma.f64 #s(literal -5 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 x x))) y (/.f64 #s(literal -1 binary64) x))
(- (* y (+ (* y (- (* 7 (/ y (pow x 4))) (* 5 (/ 1 (pow x 3))))) (* 3 (/ 1 (pow x 2))))) (/ 1 x))
(fma.f64 (*.f64 y y) (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 7 binary64) (/.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 y x) #s(literal -1 binary64)) x))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -1 binary64))
(- (* y (+ (* -2 (/ y (pow x 2))) (* 2 (/ 1 x)))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64))) x))
(- (* y (+ (* y (- (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) 1)
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) y (/.f64 #s(literal 2 binary64) x)) y #s(literal -1 binary64))
(/ y z)
(/.f64 y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(fma.f64 (/.f64 (-.f64 x (/.f64 x z)) y) y (/.f64 y z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(fma.f64 (/.f64 (-.f64 x (/.f64 x z)) y) y (/.f64 y z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(fma.f64 (/.f64 (-.f64 x (/.f64 x z)) y) y (/.f64 y z))
(/ y z)
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(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(fma.f64 (/.f64 (/.f64 (neg.f64 x) z) y) y (/.f64 y z))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
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(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(fma.f64 (/.f64 (/.f64 (neg.f64 x) z) y) y (/.f64 y z))
y
(* y (+ 1 (* -1 (/ x y))))
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(* y (+ 1 (* -1 (/ x y))))
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(* y (+ 1 (* -1 (/ x y))))
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(/ y z)
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(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
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(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(fma.f64 (/.f64 (-.f64 x (/.f64 x z)) y) y (/.f64 y z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
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(/ y z)
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(fma.f64 (/.f64 (fma.f64 z x (neg.f64 x)) y) y y)
y
(* y (+ 1 (* -1 (/ x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(* y (+ 1 (* -1 (/ x y))))
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1
#s(literal 1 binary64)
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(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3)))) (+ (/ x y) (/ (* x (- (* -1 x) x)) (pow y 2))))
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(/ y z)
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(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* -2 (* x (+ (* 2 (* x (- (* -1 x) (* 2 x)))) (pow x 2)))) (* (pow x 2) (- (* -1 x) (* 2 x)))) (pow y 3))))) (+ (* 2 (/ x y)) (+ (* 2 (/ (* x (- (* -1 x) (* 2 x))) (pow y 2))) (/ (pow x 2) (pow y 2))))) y)
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(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(fma.f64 (/.f64 (/.f64 y x) z) x (-.f64 x (/.f64 x z)))
(* -1 (* x (+ 1 (* -1 z))))
(fma.f64 z x (neg.f64 x))
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x))))))
(*.f64 (-.f64 (+.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x))))))
(*.f64 (-.f64 (+.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x))))))
(*.f64 (-.f64 (+.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 y) y) x)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) y)) x))) y) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64))) x))
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) y)) x)) (* -1 (* y (- (* -1 y) y)))) x))) y) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (.f64 (.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 y (/.f64 y x)) y)) x)) x))
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(fma.f64 (/.f64 (/.f64 y x) z) x (-.f64 x (/.f64 x z)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(fma.f64 (/.f64 (/.f64 y x) z) x (-.f64 x (/.f64 x z)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(fma.f64 (/.f64 (/.f64 y x) z) x (-.f64 x (/.f64 x z)))
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(fma.f64 (/.f64 (/.f64 y x) z) x (/.f64 (neg.f64 x) z))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(fma.f64 (/.f64 (/.f64 y x) z) x (/.f64 (neg.f64 x) z))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(fma.f64 (/.f64 (/.f64 y x) z) x (/.f64 (neg.f64 x) z))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* -1 (/ (- y (* -2 y)) x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 y x))) (neg.f64 x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (+ (* -2 (/ (* y (- y (* -2 y))) x)) (/ (pow y 2) x))) (* -2 y)) x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) y (.f64 y (fma.f64 (.f64 #s(literal 3 binary64) (/.f64 y x)) #s(literal -2 binary64) (/.f64 y x)))) x)) (neg.f64 x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (+ (* 2 (/ (* y (+ (* -2 (* y (- y (* -2 y)))) (pow y 2))) x)) (/ (* (pow y 2) (- y (* -2 y))) x)) (+ (* -2 (* y (- y (* -2 y)))) (pow y 2))) x))) (* -2 y)) x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) y) (/.f64 (.f64 y (fma.f64 (.f64 #s(literal 3 binary64) y) #s(literal -2 binary64) y)) x) (fma.f64 (.f64 #s(literal 3 binary64) y) (.f64 y (-.f64 (/.f64 y x) #s(literal -2 binary64))) (.f64 (neg.f64 y) y))) (neg.f64 x))) x)) (neg.f64 x))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 y) y) x)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) y)) x))) y) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64))) x))
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) y)) x)) (* -1 (* y (- (* -1 y) y)))) x))) y) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (.f64 (.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 y (/.f64 y x)) y)) x)) x))

rewrite359.0ms (5.4%)

Memory

31.8MiB live, 437.4MiB allocated

Rules

5 198×	`lower-/.f32`
5 188×	`lower-/.f64`
3 354×	`lower-fma.f32`
3 352×	`lower-fma.f64`
3 278×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	161
0	37	153
1	160	103
2	1711	103
0	8329	103

Stop Event

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

Counts

14 → 1 339

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

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

eval266.0ms (4%)

Memory: 20.3MiB live, 599.8MiB allocated
Compiler: Compiled 52 776 to 7 163 computations (86.4% saved)

prune35.0ms (0.5%)

Memory

-26.7MiB live, 132.2MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	1 932	2	1 934
Fresh	0	0	0
Picked	2	1	3
Done	0	4	4
Total	1 934	7	1 941

Accuracy

100.0%

Counts

1 941 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.9%	(+.f64 x (/.f64 (.f64 (+.f64 y x) (.f64 (+.f64 x y) #s(approx (/ (/ (- y x) (+ x y)) (+ x y)) (/.f64 #s(literal 1 binary64) y)))) z))
✓	76.6%	(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
▶	49.0%	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x #s(approx (- y x) (neg.f64 x))) z))
✓	65.6%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
✓	29.0%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	42.6%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	62.9%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 53 to 50 computations (5.7% saved)

simplify157.0ms (2.3%)

Memory

-3.5MiB live, 229.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

12 038×	`lower-fma.f32`
12 036×	`lower-fma.f64`
3 098×	`lower-*.f32`
3 094×	`lower-*.f64`
1 744×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	171
0	35	171
1	63	171
2	114	171
3	266	171
4	559	171
5	1157	171
6	2404	171
7	4936	171
8	7577	171
0	8006	170

Stop Event

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

Calls

Call 1

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

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

localize64.0ms (1%)

Memory

-10.0MiB live, 127.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(/.f64 (.f64 (+.f64 y x) (.f64 (+.f64 x y) #s(approx (/ (/ (- y x) (+ x y)) (+ x y)) (/.f64 #s(literal 1 binary64) y)))) z)
accuracy	0.015625	(.f64 (+.f64 y x) (.f64 (+.f64 x y) #s(approx (/ (/ (- y x) (+ x y)) (+ x y)) (/.f64 #s(literal 1 binary64) y))))
accuracy	0.18359375	(*.f64 (+.f64 x y) #s(approx (/ (/ (- y x) (+ x y)) (+ x y)) (/.f64 #s(literal 1 binary64) y)))
accuracy	31.789700565203756	#s(approx (/ (/ (- y x) (+ x y)) (+ x y)) (/.f64 #s(literal 1 binary64) y))
accuracy	0	(neg.f64 x)
accuracy	0	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x #s(approx (- y x) (neg.f64 x))) z))
accuracy	8.894680243662426	(/.f64 (fma.f64 z x #s(approx (- y x) (neg.f64 x))) z)
accuracy	30.504277829272276	#s(approx (- y x) (neg.f64 x))

Samples

35.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 134 to 22 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 11.0ms (45.2% of total)

ival-add: 6.0ms (24.7% of total)

ival-mult: 5.0ms (20.6% of total)

ival-sub: 1.0ms (4.1% of total)

ival-neg: 1.0ms (4.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory

4.6MiB live, 43.7MiB allocated

Counts

11 → 312

Calls

Call 1

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

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

Calls

9 calls:

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

simplify205.0ms (3.1%)

Memory

12.8MiB live, 406.9MiB allocated

Algorithm

1×	egg-herbie

Rules

13 502×	`lower-fma.f64`
13 502×	`lower-fma.f32`
4 828×	`lower-+.f64`
4 828×	`lower-+.f32`
4 240×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	400	2733
1	1238	2558
2	3755	2458
0	8568	2327

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 291

Calls

Call 1

Inputs
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(- y x)
(- (+ y (* x z)) x)
(- (+ y (* x z)) x)
(- (+ y (* x z)) x)
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y 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 z)
(* z (- (+ x (/ y z)) (/ x z)))
(* z (- (+ x (/ y z)) (/ x z)))
(* z (- (+ x (/ y z)) (/ x z)))
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y 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 z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z)))))
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ (- (* x z) x) z)
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (* x z) x)
(- (+ y (* x z)) x)
(- (+ y (* x z)) x)
(- (+ y (* x z)) x)
(* -1 x)
(- y x)
(- y x)
(- y x)
(- x (/ x z))
(- (+ 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))
(* -1 x)
(- y x)
(- y x)
(- y x)
x
(+ x y)
(+ x y)
(+ x y)
(/ -1 x)
(- (* 3 (/ y (pow x 2))) (/ 1 x))
(- (* y (+ (* -5 (/ y (pow x 3))) (* 3 (/ 1 (pow x 2))))) (/ 1 x))
(- (* y (+ (* y (- (* 7 (/ y (pow x 4))) (* 5 (/ 1 (pow x 3))))) (* 3 (/ 1 (pow x 2))))) (/ 1 x))
-1
(- (* 2 (/ y x)) 1)
(- (* y (+ (* -2 (/ y (pow x 2))) (* 2 (/ 1 x)))) 1)
(- (* y (+ (* y (- (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) 1)
(/ 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)
(* 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
(* y (- (+ 1 (/ (* x z) y)) (/ x y)))
(* y (- (+ 1 (/ (* x z) y)) (/ x y)))
(* y (- (+ 1 (/ (* x z) y)) (/ x y)))
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(/ 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)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(/ 1 y)
(/ (- (+ 1 (* -1 (/ x y))) (* 2 (/ x y))) y)
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* 2 (* x (- (* -1 x) (* 2 x)))) (pow x 2)) (pow y 2))))) (* 2 (/ x y))) y)
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* -2 (* x (+ (* 2 (* x (- (* -1 x) (* 2 x)))) (pow x 2)))) (* (pow x 2) (- (* -1 x) (* 2 x)))) (pow y 3))))) (+ (* 2 (/ x y)) (+ (* 2 (/ (* x (- (* -1 x) (* 2 x))) (pow y 2))) (/ (pow x 2) (pow y 2))))) y)
1
(- (+ 1 (* -1 (/ x y))) (/ x y))
(- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))))) (/ x y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3)))) (+ (/ x y) (/ (* x (- (* -1 x) x)) (pow y 2))))
(/ 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 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))))
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(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1)))
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(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
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(/ 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))))
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(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
y
(* -1 (* y (- (/ x y) 1)))
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(* -1 (* y (- (/ x y) 1)))
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(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
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(* -1 (/ (- (/ x y) (+ 1 (* -2 (/ x y)))) y))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- x (* -2 x))) (* -1 (/ (+ (* -2 (* x (- x (* -2 x)))) (pow x 2)) y))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- x (* -2 x))) (* -1 (/ (+ (* -2 (* x (- x (* -2 x)))) (+ (* -1 (/ (+ (* 2 (* x (+ (* -2 (* x (- x (* -2 x)))) (pow x 2)))) (* (pow x 2) (- x (* -2 x)))) y)) (pow x 2))) y))) y)) 1) y))
1
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(+ (* x (- 1 (/ 1 z))) (/ y z))
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
y
(+ y (* x (- z 1)))
(+ y (* x (- z 1)))
(+ y (* x (- z 1)))
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(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(/ y z)
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
y
(+ x y)
(+ x y)
(+ x y)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ 1 y)
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(+ (* x (- (* 5 (/ x (pow y 3))) (* 3 (/ 1 (pow y 2))))) (/ 1 y))
(+ (* x (- (* x (+ (* -7 (/ x (pow y 4))) (* 5 (/ 1 (pow y 3))))) (* 3 (/ 1 (pow y 2))))) (/ 1 y))
1
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(* -1 x)
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(* -1 x)
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x
(* x (+ 1 (/ y x)))
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(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ -1 x)
(/ (- (/ y x) (+ 1 (* -2 (/ y x)))) x)
(/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (* 2 (* y (- y (* -2 y))))) (pow x 2))) (/ y x)) (+ 1 (* -2 (/ y x)))) x)
(/ (- (+ (* -1 (/ (+ (* -2 (* y (+ (* -1 (pow y 2)) (* 2 (* y (- y (* -2 y))))))) (* (pow y 2) (- y (* -2 y)))) (pow x 3))) (/ y x)) (+ 1 (+ (* -2 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ (* y (- y (* -2 y))) (pow x 2))))))) x)
-1
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(- (+ (* -1 (/ (* y (- y (* -1 y))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ y x))))
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(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
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(* -1 (* x (+ 1 (* -1 (/ y x)))))
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(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
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(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
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(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ -1 x)
(* -1 (/ (+ 1 (* -1 (/ (- y (* -2 y)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (+ (* -2 (/ (* y (- y (* -2 y))) x)) (/ (pow y 2) x))) (* -2 y)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (+ (* 2 (/ (* y (+ (* -2 (* y (- y (* -2 y)))) (pow y 2))) x)) (/ (* (pow y 2) (- y (* -2 y))) x)) (+ (* -2 (* y (- y (* -2 y)))) (pow y 2))) x))) (* -2 y)) x))) x))
-1
(- (* -1 (/ (- (* -1 y) y) x)) 1)
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) y)) x))) y) x)) 1)
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) y)) x)) (* -1 (* y (- (* -1 y) y)))) x))) y) x)) 1)

Outputs
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
(- y x)
(-.f64 y x)
(- (+ y (* x z)) x)
(fma.f64 z x (-.f64 y x))
(- (+ y (* x z)) x)
(fma.f64 z x (-.f64 y x))
(- (+ y (* x z)) x)
(fma.f64 z x (-.f64 y x))
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (fma.f64 z x (-.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)
x
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
x
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(* x z)
(*.f64 z x)
(* z (- (+ x (/ y z)) (/ x z)))
(*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) z)
(* z (- (+ x (/ y z)) (/ x z)))
(*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) z)
(* z (- (+ x (/ y z)) (/ x z)))
(*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) z)
x
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
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(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(/ (- y x) z)
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(/ (- y x) z)
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(/ (- y x) z)
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(/ (- y x) z)
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(- (+ x (/ y z)) (/ x z))
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(- (+ x (/ y z)) (/ x z))
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(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
x
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(* x z)
(*.f64 z x)
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z)))))
(*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z)))))
(*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z)))))
(*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) z)
x
(- (+ x (/ y z)) (/ x z))
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(- (+ x (/ y z)) (/ x z))
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(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(/ (- 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)
(- x (/ x z))
(-.f64 x (/.f64 x z))
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(/ (- (* x z) x) z)
(-.f64 x (/.f64 x z))
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (* x z) x)
(fma.f64 z x (neg.f64 x))
(- (+ y (* x z)) x)
(fma.f64 z x (-.f64 y x))
(- (+ y (* x z)) x)
(fma.f64 z x (-.f64 y x))
(- (+ y (* x z)) x)
(fma.f64 z x (-.f64 y x))
(* -1 x)
(neg.f64 x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- x (/ x z))
(-.f64 x (/.f64 x z))
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
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(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
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(* -1 x)
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(- y x)
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(- y x)
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(- y x)
(-.f64 y x)
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
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(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (* 3 (/ y (pow x 2))) (/ 1 x))
(/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 y x) #s(literal -1 binary64)) x)
(- (* y (+ (* -5 (/ y (pow x 3))) (* 3 (/ 1 (pow x 2))))) (/ 1 x))
(fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -5 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) y (/.f64 #s(literal -1 binary64) x))
(- (* y (+ (* y (- (* 7 (/ y (pow x 4))) (* 5 (/ 1 (pow x 3))))) (* 3 (/ 1 (pow x 2))))) (/ 1 x))
(fma.f64 (*.f64 y y) (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 7 binary64) (/.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 y x) #s(literal -1 binary64)) x))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -1 binary64))
(- (* y (+ (* -2 (/ y (pow x 2))) (* 2 (/ 1 x)))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64))) x))
(- (* y (+ (* y (- (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) 1)
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) y (/.f64 #s(literal 2 binary64) x)) y #s(literal -1 binary64))
(/ y z)
(/.f64 y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(fma.f64 (/.f64 (-.f64 x (/.f64 x z)) y) y (/.f64 y z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(fma.f64 (/.f64 (-.f64 x (/.f64 x z)) y) y (/.f64 y z))
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(fma.f64 (/.f64 (-.f64 x (/.f64 x z)) y) y (/.f64 y z))
(/ y z)
(/.f64 y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(fma.f64 (/.f64 (-.f64 x (/.f64 x z)) y) y (/.f64 y z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(fma.f64 (/.f64 (-.f64 x (/.f64 x z)) y) y (/.f64 y z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(fma.f64 (/.f64 (-.f64 x (/.f64 x z)) y) y (/.f64 y z))
y
(* y (- (+ 1 (/ (* x z) y)) (/ x y)))
(fma.f64 (/.f64 (fma.f64 z x (neg.f64 x)) y) y y)
(* y (- (+ 1 (/ (* x z) y)) (/ x y)))
(fma.f64 (/.f64 (fma.f64 z x (neg.f64 x)) y) y y)
(* y (- (+ 1 (/ (* x z) y)) (/ x y)))
(fma.f64 (/.f64 (fma.f64 z x (neg.f64 x)) y) y y)
y
(* y (+ 1 (* -1 (/ x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(* y (+ 1 (* -1 (/ x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(* y (+ 1 (* -1 (/ x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(/ y z)
(/.f64 y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(fma.f64 (/.f64 (-.f64 x (/.f64 x z)) y) y (/.f64 y z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(fma.f64 (/.f64 (-.f64 x (/.f64 x z)) y) y (/.f64 y z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(fma.f64 (/.f64 (-.f64 x (/.f64 x z)) y) y (/.f64 y z))
(/ y z)
(/.f64 y z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(fma.f64 (/.f64 (/.f64 (neg.f64 x) y) z) y (/.f64 y z))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(fma.f64 (/.f64 (/.f64 (neg.f64 x) y) z) y (/.f64 y z))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(fma.f64 (/.f64 (/.f64 (neg.f64 x) y) z) y (/.f64 y z))
y
(* y (+ 1 (* -1 (/ x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(* y (+ 1 (* -1 (/ x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(* y (+ 1 (* -1 (/ x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
y
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
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(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (- (+ 1 (* -1 (/ x y))) (* 2 (/ x y))) y)
(/.f64 (fma.f64 (/.f64 x y) #s(literal -3 binary64) #s(literal 1 binary64)) y)
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* 2 (* x (- (* -1 x) (* 2 x)))) (pow x 2)) (pow y 2))))) (* 2 (/ x y))) y)
(/.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal -3 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 x (fma.f64 (.f64 #s(literal 3 binary64) x) #s(literal -2 binary64) x)) y) y)) y)
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* -2 (* x (+ (* 2 (* x (- (* -1 x) (* 2 x)))) (pow x 2)))) (* (pow x 2) (- (* -1 x) (* 2 x)))) (pow y 3))))) (+ (* 2 (/ x y)) (+ (* 2 (/ (* x (- (* -1 x) (* 2 x))) (pow y 2))) (/ (pow x 2) (pow y 2))))) y)
(/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -3 binary64))) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 x y) #s(literal -3 binary64) #s(literal 1 binary64))) (.f64 x (fma.f64 (.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 (/.f64 x y) y)))) y)
1
#s(literal 1 binary64)
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y
(* -1 (* y (- (/ x y) 1)))
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y
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1
#s(literal 1 binary64)
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(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (.f64 x (.f64 x (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 2 binary64)))) y)) y) #s(literal 1 binary64))
(/ y z)
(/.f64 y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(/ y z)
(/.f64 y z)
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(+.f64 (/.f64 (-.f64 y x) z) x)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 (/.f64 (-.f64 y x) z) x)
y
(+ y (* x (- z 1)))
(fma.f64 z x (-.f64 y x))
(+ y (* x (- z 1)))
(fma.f64 z x (-.f64 y x))
(+ y (* x (- z 1)))
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y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(/ y z)
(/.f64 y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(/ 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)
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
y
(+ x y)
(+.f64 x y)
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(neg.f64 x)
(* -1 x)
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(* -1 x)
(neg.f64 x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -3 (/ x (pow y 2))) (/ 1 y))
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(+ (* x (- (* 5 (/ x (pow y 3))) (* 3 (/ 1 (pow y 2))))) (/ 1 y))
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(+ (* x (- (* x (+ (* -7 (/ x (pow y 4))) (* 5 (/ 1 (pow y 3))))) (* 3 (/ 1 (pow y 2))))) (/ 1 y))
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1
#s(literal 1 binary64)
(+ 1 (* -2 (/ x y)))
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y)))))
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(+ 1 (* x (- (* x (+ (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) y) y)) x (/.f64 #s(literal -2 binary64) y)) x #s(literal 1 binary64))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
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(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(fma.f64 (/.f64 (/.f64 y x) z) x (-.f64 x (/.f64 x z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(fma.f64 (/.f64 (/.f64 y x) z) x (-.f64 x (/.f64 x z)))
(/ (* x (- z 1)) z)
(-.f64 x (/.f64 x z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(fma.f64 (/.f64 (/.f64 y x) z) x (-.f64 x (/.f64 x z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(fma.f64 (/.f64 (/.f64 y x) z) x (-.f64 x (/.f64 x z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(fma.f64 (/.f64 (/.f64 y x) z) x (-.f64 x (/.f64 x z)))
(* x (- z 1))
(fma.f64 z x (neg.f64 x))
(* x (- (+ z (/ y x)) 1))
(*.f64 (-.f64 (+.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
(* x (- (+ z (/ y x)) 1))
(*.f64 (-.f64 (+.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
(* x (- (+ z (/ y x)) 1))
(*.f64 (-.f64 (+.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
(* -1 x)
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(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
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(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* x (- (/ y x) 1))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(fma.f64 (/.f64 (/.f64 y x) z) x (-.f64 x (/.f64 x z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(fma.f64 (/.f64 (/.f64 y x) z) x (-.f64 x (/.f64 x z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(fma.f64 (/.f64 (/.f64 y x) z) x (-.f64 x (/.f64 x z)))
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(fma.f64 (/.f64 (/.f64 y x) z) x (/.f64 (neg.f64 x) z))
(* x (- (/ y (* x z)) (/ 1 z)))
(fma.f64 (/.f64 (/.f64 y x) z) x (/.f64 (neg.f64 x) z))
(* x (- (/ y (* x z)) (/ 1 z)))
(fma.f64 (/.f64 (/.f64 y x) z) x (/.f64 (neg.f64 x) z))
(* -1 x)
(neg.f64 x)
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(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* x (- (/ y x) 1))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* x (- (/ y x) 1))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
x
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* x (+ 1 (/ y x)))
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(* -1 x)
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(* -1 x)
(neg.f64 x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (/ y x) (+ 1 (* -2 (/ y x)))) x)
(/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 y x) #s(literal -1 binary64)) x)
(/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (* 2 (* y (- y (* -2 y))))) (pow x 2))) (/ y x)) (+ 1 (* -2 (/ y x)))) x)
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 y (fma.f64 (.f64 #s(literal 3 binary64) y) #s(literal -2 binary64) y)) x) x) (fma.f64 #s(literal 3 binary64) (/.f64 y x) #s(literal -1 binary64))) x)
(/ (- (+ (* -1 (/ (+ (* -2 (* y (+ (* -1 (pow y 2)) (* 2 (* y (- y (* -2 y))))))) (* (pow y 2) (- y (* -2 y)))) (pow x 3))) (/ y x)) (+ 1 (+ (* -2 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ (* y (- y (* -2 y))) (pow x 2))))))) x)
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 (.f64 y (fma.f64 (.f64 #s(literal 3 binary64) y) #s(literal -2 binary64) y)) x) x) (fma.f64 #s(literal 3 binary64) (/.f64 y x) #s(literal -1 binary64))) (/.f64 (.f64 y (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 (.f64 y (-.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 3 binary64) y)) y)) #s(literal -2 binary64)))) (pow.f64 x #s(literal 3 binary64)))) x)
-1
#s(literal -1 binary64)
(- (/ y x) (+ 1 (* -1 (/ y x))))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -1 binary64))
(- (+ (* -1 (/ (* y (- y (* -1 y))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ y x))))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64))) x))
(- (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3))) (+ 1 (+ (* -1 (/ y x)) (/ (* y (- y (* -1 y))) (pow x 2)))))
(+.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 y (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64))) x)) (/.f64 (.f64 (hypot.f64 y y) y) (pow.f64 x #s(literal 3 binary64))))
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(-.f64 x (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
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(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
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(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
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(* -1 (/ (* x (+ 1 (* -1 z))) z))
(-.f64 x (/.f64 x z))
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z)))))
(fma.f64 (/.f64 (/.f64 y x) z) x (-.f64 x (/.f64 x z)))
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z)))))
(fma.f64 (/.f64 (/.f64 y x) z) x (-.f64 x (/.f64 x z)))
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z)))))
(fma.f64 (/.f64 (/.f64 y x) z) x (-.f64 x (/.f64 x z)))
(* -1 (* x (+ 1 (* -1 z))))
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(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x))))))
(*.f64 (-.f64 (+.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x))))))
(*.f64 (-.f64 (+.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x))))))
(*.f64 (-.f64 (+.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
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(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
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(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(fma.f64 (/.f64 (/.f64 y x) z) x (-.f64 x (/.f64 x z)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(fma.f64 (/.f64 (/.f64 y x) z) x (-.f64 x (/.f64 x z)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(fma.f64 (/.f64 (/.f64 y x) z) x (-.f64 x (/.f64 x z)))
(* -1 (/ x z))
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(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(fma.f64 (/.f64 (/.f64 y x) z) x (/.f64 (neg.f64 x) z))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(fma.f64 (/.f64 (/.f64 y x) z) x (/.f64 (neg.f64 x) z))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(fma.f64 (/.f64 (/.f64 y x) z) x (/.f64 (neg.f64 x) z))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* -1 (/ (- y (* -2 y)) x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 y x))) (neg.f64 x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (+ (* -2 (/ (* y (- y (* -2 y))) x)) (/ (pow y 2) x))) (* -2 y)) x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) y (.f64 y (fma.f64 (.f64 #s(literal 3 binary64) (/.f64 y x)) #s(literal -2 binary64) (/.f64 y x)))) x)) (neg.f64 x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (+ (* 2 (/ (* y (+ (* -2 (* y (- y (* -2 y)))) (pow y 2))) x)) (/ (* (pow y 2) (- y (* -2 y))) x)) (+ (* -2 (* y (- y (* -2 y)))) (pow y 2))) x))) (* -2 y)) x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) y) (/.f64 (.f64 y (fma.f64 (.f64 #s(literal 3 binary64) y) #s(literal -2 binary64) y)) x) (fma.f64 (.f64 #s(literal 3 binary64) y) (.f64 y (-.f64 (/.f64 y x) #s(literal -2 binary64))) (.f64 (neg.f64 y) y))) (neg.f64 x))) x)) (neg.f64 x))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 y) y) x)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) y)) x))) y) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64))) x))
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) y)) x)) (* -1 (* y (- (* -1 y) y)))) x))) y) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (.f64 (.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 y (/.f64 y x)) y)) x)) x))

rewrite327.0ms (4.9%)

Memory

-21.0MiB live, 392.7MiB allocated

Rules

5 900×	`lower-/.f32`
5 894×	`lower-/.f64`
4 624×	`lower-*.f32`
4 620×	`lower-*.f64`
3 312×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	159
0	35	159
1	156	143
2	1396	143
0	8403	142

Stop Event

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

Counts

11 → 399

Calls

Call 1

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

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

eval99.0ms (1.5%)

Memory: 10.4MiB live, 201.9MiB allocated
Compiler: Compiled 15 042 to 1 951 computations (87% saved)

prune17.0ms (0.2%)

Memory

14.3MiB live, 61.5MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	690	0	690
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	690	7	697

Accuracy

100.0%

Counts

697 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.9%	(+.f64 x (/.f64 (.f64 (+.f64 y x) (.f64 (+.f64 x y) #s(approx (/ (/ (- y x) (+ x y)) (+ x y)) (/.f64 #s(literal 1 binary64) y)))) z))
✓	76.6%	(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
✓	49.0%	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x #s(approx (- y x) (neg.f64 x))) z))
✓	65.6%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
✓	29.0%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	42.6%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	62.9%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 162 to 95 computations (41.4% saved)

regimes17.0ms (0.3%)

Memory

1.3MiB live, 39.4MiB allocated

Counts

11 → 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))
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x #s(approx (- y x) (neg.f64 x))) z))
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z))
(+.f64 x (/.f64 (.f64 (+.f64 y x) (.f64 (+.f64 x y) #s(approx (/ (/ (- y x) (+ x y)) (+ x y)) (/.f64 #s(literal 1 binary64) y)))) z))
(+.f64 x (/.f64 (.f64 (+.f64 y x) (.f64 (+.f64 x y) (/.f64 (/.f64 (-.f64 y x) (+.f64 x y)) (+.f64 x y)))) z))
(+.f64 x (/.f64 (.f64 (+.f64 y x) (.f64 (-.f64 y x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) z))

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

Calls

4 calls:

5.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
4.0ms	x
4.0ms	y
4.0ms	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 10 to 15 computations (-50% saved)

regimes11.0ms (0.2%)

Memory

-10.4MiB live, 28.3MiB 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:

4.0ms	z
2.0ms	y
2.0ms	x
2.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
88.9%	3	`x`
88.2%	3	`y`
99.4%	3	`z`
86.5%	3	`(+.f64 x (/.f64 (-.f64 y x) z))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes11.0ms (0.2%)

Memory

-12.6MiB live, 25.4MiB 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 x (/.f64 x z)))
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Calls

4 calls:

4.0ms	y
2.0ms	x
2.0ms	z
2.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
76.2%	5	`(+.f64 x (/.f64 (-.f64 y x) z))`
81.4%	3	`y`
84.0%	3	`x`
84.8%	3	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes6.0ms (0.1%)

Memory

22.4MiB live, 22.4MiB 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

3 calls:

2.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
78.6%	3	`y`
77.8%	3	`x`
67.0%	3	`z`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes45.0ms (0.7%)

Memory

-25.6MiB live, 25.6MiB 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 #s(approx (- y x) (neg.f64 x)) z))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))

Calls

4 calls:

28.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
13.0ms	z
2.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
48.9%	3	`z`
44.4%	2	`(+.f64 x (/.f64 (-.f64 y x) z))`
54.8%	3	`x`
54.0%	3	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes5.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB 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:

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

Results

Accuracy	Segments	Branch
42.6%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`
42.6%	1	`z`
42.6%	1	`y`
42.6%	1	`x`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch20.0ms (0.3%)

Memory

-8.4MiB live, 29.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.7730998882921196	13.821383942276805
7.0ms	-387829521515.3534	-42194461161.75632

Samples

12.0ms

208×

valid

Compiler

Compiled 166 to 194 computations (-16.9% saved)

Precisions

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

ival-sub: 1.0ms (25.4% of total)

ival-div: 1.0ms (25.4% of total)

ival-add: 1.0ms (25.4% of total)

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

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

bsearch27.0ms (0.4%)

Memory

1.4MiB live, 39.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	45276260.75694098	1473396904218.447
12.0ms	-4.063326092580952e+82	-8.592349320553082e+71

Samples

15.0ms

288×

valid

Compiler

Compiled 226 to 264 computations (-16.8% saved)

Precisions

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

ival-sub: 2.0ms (36.9% of total)

ival-div: 2.0ms (36.9% of total)

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

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

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

bsearch23.0ms (0.3%)

Memory

-4.2MiB live, 33.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	6.400366586948093e+166	1.6448520304605184e+169
7.0ms	-1.0820098930978968e+173	-1.1189472889071427e+172

Samples

9.0ms

224×

valid

Compiler

Compiled 150 to 194 computations (-29.3% saved)

Precisions

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

ival-div: 2.0ms (48.6% of total)

ival-sub: 1.0ms (24.3% of total)

ival-add: 1.0ms (24.3% of total)

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

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

bsearch113.0ms (1.7%)

Memory

-8.9MiB live, 33.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	3.214133593236793e+23	3.481846265896428e+25
12.0ms	-3.3123784515784815e+93	-2.5189774364086277e+80

Samples

11.0ms

272×

valid

Compiler

Compiled 180 to 250 computations (-38.9% saved)

Precisions

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

ival-sub: 2.0ms (39.9% of total)

ival-div: 2.0ms (39.9% of total)

ival-add: 1.0ms (20% of total)

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

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

simplify26.0ms (0.4%)

Memory

38.6MiB live, 38.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative-binary64-+.f64`
10×	`sub-neg-binary64-neg.f64-+.f64--.f64`
6×	`-commutative-binary64-.f64`
6×	`neg-sub0-binary64--.f64-neg.f64`
6×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	202
1	56	202
2	65	202
3	70	202
4	73	202
5	74	202

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 z #s(literal -43000000000 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 z #s(literal -5099999999999999772237064608102444383652368900576680361834614141338255360 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 540000000000 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))))
(if (<=.f64 y #s(literal -59999999999999998096432111295738427076716862709520194748523905709690618971404681190693206587076991257743515193685039152797269009525540599074865463363995488800445046963830784 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 95999999999999996897810987168298293040791400030290184785631420616259533250586987323431199562638369372611728828867981955331371212630292469298346510037067856181360328704 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #s(approx (+ x (/ (- y x) z)) (/.f64 y z))))
(if (<=.f64 x #s(literal -2250000000000000086164958936640977914149951519559244463810234505649672469744713728 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (if (<=.f64 x #s(literal 33999999999999998355832832 binary64)) #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))

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(if (<=.f64 z #s(literal -43000000000 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 z #s(literal -43000000000 binary64)) (+.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) (+.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x)))
(if (<=.f64 z #s(literal -5099999999999999772237064608102444383652368900576680361834614141338255360 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 540000000000 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))))
(if (<=.f64 y #s(literal -59999999999999998096432111295738427076716862709520194748523905709690618971404681190693206587076991257743515193685039152797269009525540599074865463363995488800445046963830784 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 95999999999999996897810987168298293040791400030290184785631420616259533250586987323431199562638369372611728828867981955331371212630292469298346510037067856181360328704 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #s(approx (+ x (/ (- y x) z)) (/.f64 y z))))
(if (<=.f64 x #s(literal -2250000000000000086164958936640977914149951519559244463810234505649672469744713728 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (if (<=.f64 x #s(literal 33999999999999998355832832 binary64)) #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))

soundness803.0ms (12%)

Memory

-17.6MiB live, 293.5MiB allocated

Rules

12 612×	`lower-fma.f64`
12 612×	`lower-fma.f32`
6 368×	`lower-fma.f64`
6 368×	`lower-fma.f32`
3 714×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	460
1	198	460
2	553	460
3	1590	460
4	3540	460
5	5031	460
6	6478	460
7	6764	460
8	6864	460
9	6864	460
0	8148	457
0	183	2675
1	547	2645
2	1548	2528
3	5890	2246
0	8387	2222

Stop Event

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

Compiler

Compiled 148 to 87 computations (41.2% saved)

preprocess37.0ms (0.6%)

Memory: 8.8MiB live, 84.1MiB allocated
Compiler: Compiled 232 to 96 computations (58.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze38.0ms (0.6%)

sample1.2s (18.3%)

explain95.0ms (1.4%)

preprocess113.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify31.0ms (0.5%)

localize29.0ms (0.4%)

series8.0ms (0.1%)

simplify158.0ms (2.4%)

rewrite214.0ms (3.2%)

eval50.0ms (0.7%)

prune12.0ms (0.2%)

simplify250.0ms (3.7%)

localize90.0ms (1.3%)

series25.0ms (0.4%)

simplify272.0ms (4%)

rewrite347.0ms (5.2%)

eval344.0ms (5.1%)

prune37.0ms (0.6%)

simplify229.0ms (3.4%)

localize83.0ms (1.2%)

series38.0ms (0.6%)

simplify324.0ms (4.8%)

rewrite359.0ms (5.4%)

eval266.0ms (4%)

prune35.0ms (0.5%)

simplify157.0ms (2.3%)

localize64.0ms (1%)

series18.0ms (0.3%)

simplify205.0ms (3.1%)

rewrite327.0ms (4.9%)

eval99.0ms (1.5%)

prune17.0ms (0.2%)

regimes17.0ms (0.3%)

regimes11.0ms (0.2%)

regimes11.0ms (0.2%)

regimes6.0ms (0.1%)

regimes45.0ms (0.7%)

regimes5.0ms (0.1%)

bsearch20.0ms (0.3%)

bsearch27.0ms (0.4%)

bsearch23.0ms (0.3%)

bsearch113.0ms (1.7%)

simplify26.0ms (0.4%)

soundness803.0ms (12%)

preprocess37.0ms (0.6%)

end0.0ms (0%)

Profiling