Metrics for Diagrams.Backend.Rasterific:rasterificRadialGradient from diagrams-rasterific-1.3.1.3

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze38.0ms (0.4%)

Memory

14.8MiB live, 93.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
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 11 to 9 computations (18.2% saved)

sample773.0ms (8.5%)

Memory

11.0MiB live, 1 240.4MiB allocated

Samples

500.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 283.0ms

ival-mult: 101.0ms (35.7% of total)

ival-add: 68.0ms (24.1% of total)

ival-div: 58.0ms (20.5% of total)

ival-sub: 47.0ms (16.6% of total)

ival-true: 5.0ms (1.8% of total)

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

Bogosity

explain391.0ms (4.3%)

Memory

-39.2MiB live, 147.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
41	-	-	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`
0	-	-	`(+.f64 x (*.f64 y (-.f64 z x)))`
0	-	-	`y`
0	-	-	`(*.f64 y (-.f64 z x))`
0	-	-	`(-.f64 z x)`
0	-	-	`z`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`	o/n	41	0
↳	`(+.f64 x (*.f64 y (-.f64 z x)))`	overflow	63
↳	`(*.f64 y (-.f64 z x))`	overflow	63

Confusion

	Predicted +	Predicted -
+	41	0
-	0	215

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	41	0	0
-	0	0	215

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	215
1	41

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

131.0ms

512×

valid

Compiler

Compiled 67 to 25 computations (62.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sub: 3.0ms (24.5% of total)

ival-div: 3.0ms (24.5% of total)

ival-mult: 3.0ms (24.5% of total)

ival-add: 2.0ms (16.3% of total)

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

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

preprocess799.0ms (8.8%)

Memory

0.1MiB live, 235.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 344×	`lower-fma.f64`
8 344×	`lower-fma.f32`
2 504×	`lower-*.f32`
2 502×	`lower-*.f64`
1 716×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	94
1	80	84
2	199	81
3	727	81
4	2078	81
5	4862	81
6	6285	81
7	6828	81
8	7073	81
9	7124	81
10	7128	81
11	7262	81
12	7598	81
13	7712	81
14	7758	81
15	7772	81
16	7784	81
17	7786	81
18	7786	81
0	7	9
0	11	9
1	15	9
2	26	9
3	50	9
4	86	9
5	135	9
6	239	9
7	484	9
8	1326	9
9	2849	9
10	3795	9
11	4257	9
12	4520	9
13	4651	9
14	4666	9
15	6168	9
16	6644	9
17	6908	9
18	7050	9
19	7172	9
20	7172	9
21	7449	9
22	7555	9
23	7555	9
24	7695	9
0	8143	8

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.9%	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify282.0ms (3.1%)

Memory

23.4MiB live, 180.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 z x)
cost-diff	0	(*.f64 y (-.f64 z x))
cost-diff	0	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
cost-diff	128	(+.f64 x (*.f64 y (-.f64 z x)))

Rules

8 344×	`lower-fma.f64`
8 344×	`lower-fma.f32`
2 504×	`lower-*.f32`
2 502×	`lower-*.f64`
1 352×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	27
0	11	27
1	15	27
2	26	27
3	50	27
4	86	27
5	135	27
6	239	27
7	484	27
8	1326	27
9	2849	27
10	3795	27
11	4257	27
12	4520	27
13	4651	27
14	4666	27
15	6168	27
16	6644	27
17	6908	27
18	7050	27
19	7172	27
20	7172	27
21	7449	27
22	7555	27
23	7555	27
24	7695	27
0	8143	25

Stop Event

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

Calls

Call 1

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

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

localize100.0ms (1.1%)

Memory

-35.2MiB live, 88.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z x)
accuracy	0.00390625	(+.f64 x (*.f64 y (-.f64 z x)))
accuracy	0.0078125	(*.f64 y (-.f64 z x))
accuracy	9.684386964073285	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Samples

69.0ms

256×

valid

Compiler

Compiled 29 to 9 computations (69% saved)

Precisions

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

ival-sub: 57.0ms (91.8% of total)

ival-div: 2.0ms (3.2% of total)

ival-mult: 2.0ms (3.2% of total)

ival-add: 1.0ms (1.6% of total)

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

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

series10.0ms (0.1%)

Memory

32.1MiB live, 32.0MiB allocated

Counts

4 → 132

Calls

Call 1

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

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

Calls

9 calls:

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

simplify156.0ms (1.7%)

Memory

-2.9MiB live, 271.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 428×	`lower-fma.f64`
7 428×	`lower-fma.f32`
2 496×	`lower-*.f64`
2 496×	`lower-*.f32`
1 468×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	1006
1	346	742
2	1046	742
3	3278	742
4	5788	742
5	7697	742
0	8095	688

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 125

Calls

Call 1

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

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

rewrite244.0ms (2.7%)

Memory

-12.0MiB live, 378.9MiB allocated

Rules

4 848×	`lower-fma.f64`
4 848×	`lower-fma.f32`
4 800×	`lower-*.f32`
4 798×	`lower-*.f64`
3 004×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
0	11	24
1	46	24
2	352	24
3	4576	24
0	9115	22

Stop Event

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

Counts

4 → 373

Calls

Call 1

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

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

eval89.0ms (1%)

Memory: 7.7MiB live, 174.1MiB allocated
Compiler: Compiled 10 366 to 1 337 computations (87.1% saved)

prune16.0ms (0.2%)

Memory

-2.9MiB live, 43.6MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	489	9	498
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	490	9	499

Accuracy

100.0%

Counts

499 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.8%	(/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z)
▶	51.9%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z)
	57.0%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
	29.3%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
	84.6%	(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (fma.f64 (-.f64 z x) y x) #s(literal -1 binary64)) (neg.f64 z)))
▶	84.7%	(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x)))
▶	98.3%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))
▶	39.0%	#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
▶	58.7%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))

Compiler

Compiled 150 to 136 computations (9.3% saved)

simplify182.0ms (2%)

Memory

9.1MiB live, 122.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (-.f64 z x) y x)
cost-diff	0	(neg.f64 (fma.f64 (-.f64 z x) y x))
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	448	(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x)))
cost-diff	0	(-.f64 z x)
cost-diff	0	(*.f64 (-.f64 z x) y)
cost-diff	0	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
cost-diff	0	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z)
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) y) z)
cost-diff	0	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
cost-diff	0	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
cost-diff	0	(/.f64 x z)
cost-diff	0	#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) y) z)
cost-diff	0	(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
cost-diff	0	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))

Rules

6 200×	`lower-fma.f32`
6 196×	`lower-fma.f64`
1 640×	`lower-*.f32`
1 634×	`lower-*.f64`
1 182×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	165
0	37	157
1	63	157
2	131	157
3	420	157
4	1176	157
5	2927	157
6	4902	157
7	5446	157
8	5798	157
9	6040	157
10	6221	157
11	6337	157
12	6409	157
13	6981	157
14	7891	157
0	8049	157

Stop Event

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

Calls

Call 1

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

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

localize77.0ms (0.9%)

Memory

-16.3MiB live, 137.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z x)
accuracy	0	(neg.f64 (fma.f64 (-.f64 z x) y x))
accuracy	0.00390625	(fma.f64 (-.f64 z x) y x)
accuracy	9.809386964073287	(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x)))
accuracy	0	(-.f64 z x)
accuracy	0.0078125	(*.f64 (-.f64 z x) y)
accuracy	9.684386964073285	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z)
accuracy	21.988964912177618	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.0078125	(/.f64 (-.f64 #s(literal 1 binary64) y) z)
accuracy	1.1522666710010994	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
accuracy	26.093849655825	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
accuracy	0	(/.f64 x z)
accuracy	39.03985058108466	#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))
accuracy	0.0078125	(/.f64 (-.f64 #s(literal 1 binary64) y) z)
accuracy	1.0598570676170065	(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)

Samples

46.0ms

256×

valid

Compiler

Compiled 138 to 21 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 15.0ms (48.1% of total)

ival-div: 9.0ms (28.9% of total)

ival-sub: 3.0ms (9.6% of total)

ival-add: 3.0ms (9.6% of total)

ival-neg: 1.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

series37.0ms (0.4%)

Memory

-5.7MiB live, 77.9MiB allocated

Counts

16 → 492

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ x z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- z x) y) (- z x) (* (/ -1 z) (neg (+ (* (- z x) y) x))) (/ -1 z) (neg (+ (* (- z x) y) x)) (+ (* (- z x) y) x))
3.0ms	z	@	0	((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ x z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- z x) y) (- z x) (* (/ -1 z) (neg (+ (* (- z x) y) x))) (/ -1 z) (neg (+ (* (- z x) y) x)) (+ (* (- z x) y) x))
2.0ms	z	@	-inf	((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ x z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- z x) y) (- z x) (* (/ -1 z) (neg (+ (* (- z x) y) x))) (/ -1 z) (neg (+ (* (- z x) y) x)) (+ (* (- z x) y) x))
2.0ms	y	@	inf	((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ x z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- z x) y) (- z x) (* (/ -1 z) (neg (+ (* (- z x) y) x))) (/ -1 z) (neg (+ (* (- z x) y) x)) (+ (* (- z x) y) x))
1.0ms	z	@	inf	((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ x z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- z x) y) (- z x) (* (/ -1 z) (neg (+ (* (- z x) y) x))) (/ -1 z) (neg (+ (* (- z x) y) x)) (+ (* (- z x) y) x))

simplify144.0ms (1.6%)

Memory

32.5MiB live, 228.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 300×	`lower-fma.f64`
7 300×	`lower-fma.f32`
2 596×	`lower-*.f64`
2 596×	`lower-*.f32`
1 496×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	182	4037
1	590	3143
2	1695	3116
3	4516	3116
4	6977	3116
0	8182	2900

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 469

Calls

Call 1

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

rewrite227.0ms (2.5%)

Memory

3.8MiB live, 397.2MiB allocated

Rules

9 036×	`lower-fma.f32`
9 032×	`lower-fma.f64`
5 282×	`lower-*.f32`
5 276×	`lower-*.f64`
3 274×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	137
0	37	132
1	151	129
2	1047	129
0	8436	129

Stop Event

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

Counts

16 → 1 001

Calls

Call 1

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

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

eval364.0ms (4%)

Memory: -1.1MiB live, 514.3MiB allocated
Compiler: Compiled 28 647 to 3 529 computations (87.7% saved)

prune45.0ms (0.5%)

Memory

-9.6MiB live, 155.2MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	1 720	7	1 727
Fresh	2	2	4
Picked	3	2	5
Done	0	0	0
Total	1 725	11	1 736

Accuracy

100.0%

Counts

1 736 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.0%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
	24.5%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z)
	29.3%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
	56.9%	(.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (neg (+ ( (- z x) y) x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x)))
	65.5%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y))
▶	77.4%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
✓	39.0%	#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
▶	68.0%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))
✓	58.7%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
▶	26.3%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
▶	38.9%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))

Compiler

Compiled 156 to 155 computations (0.6% saved)

simplify255.0ms (2.8%)

Memory

-18.4MiB live, 188.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

5 744×	`lower-fma.f32`
5 742×	`lower-fma.f64`
2 588×	`lower-*.f32`
2 580×	`lower-*.f64`
2 096×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	213
0	41	213
1	65	213
2	96	213
3	149	213
4	285	213
5	496	213
6	980	213
7	2008	213
8	3976	213
9	5226	213
10	5688	213
11	5787	213
12	5807	213
13	5819	213
14	6087	213
15	6191	213
16	6191	213
17	6191	213
18	7449	213
0	8263	207

Stop Event

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

Calls

Call 1

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

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

localize49.0ms (0.5%)

Memory

29.9MiB live, 112.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.00390625	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy	9.684386964073285	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
accuracy	24.369671205983384	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
accuracy	0	(-.f64 z x)
accuracy	0.01953125	(/.f64 (-.f64 z x) z)
accuracy	2.672602595049126	(*.f64 (/.f64 (-.f64 z x) z) y)
accuracy	21.12330853030571	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))
accuracy	0.0078125	(/.f64 #s(approx (- 1 y) (neg.f64 y)) z)
accuracy	1.1522666710010994	(*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)
accuracy	26.093849655825	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
accuracy	31.20704068852133	#s(approx (- 1 y) (neg.f64 y))
accuracy	0.0078125	(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)
accuracy	1.1522666710010994	(*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)
accuracy	26.093849655825	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
accuracy	31.97879982932016	#s(approx (- 1 y) #s(literal 1 binary64))
accuracy	0	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
accuracy	0.0078125	(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)
accuracy	1.0598570676170065	(fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)
accuracy	31.97879982932016	#s(approx (- 1 y) #s(literal 1 binary64))

Samples

34.0ms

256×

valid

Compiler

Compiled 143 to 18 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 6.0ms (35.7% of total)

ival-div: 5.0ms (29.7% of total)

ival-sub: 3.0ms (17.8% of total)

ival-add: 2.0ms (11.9% of total)

ival-neg: 1.0ms (5.9% of total)

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

exact: 0.0ms (0% of total)

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

series29.0ms (0.3%)

Memory

-13.4MiB live, 64.2MiB allocated

Counts

18 → 516

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (- z x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y))
2.0ms	x	@	-inf	((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (- z x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y))
1.0ms	y	@	-inf	((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (- z x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y))
1.0ms	x	@	inf	((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (- z x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y))
1.0ms	z	@	-inf	((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (- z x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y))

simplify287.0ms (3.2%)

Memory

-5.2MiB live, 189.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 620×	`lower-fma.f64`
8 620×	`lower-fma.f32`
2 878×	`lower-*.f64`
2 878×	`lower-*.f32`
1 714×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	4062
1	495	3261
2	1433	3261
3	4023	3261
4	6521	3261
0	8272	3072

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 490

Calls

Call 1

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

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

rewrite807.0ms (8.9%)

Memory

-3.8MiB live, 242.6MiB allocated

Rules

6 242×	`lower-fma.f32`
6 240×	`lower-fma.f64`
5 244×	`lower-*.f32`
5 236×	`lower-*.f64`
3 578×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	182
0	41	182
1	137	182
2	870	182
0	8511	176

Stop Event

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

Counts

18 → 509

Calls

Call 1

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

Outputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
(.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #s(literal 2 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x (neg.f64 y)))))
(.f64 (neg.f64 (hypot.f64 (pow.f64 (.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 (.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) y) (.f64 (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) y)))))
(.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x (neg.f64 y)) #s(literal -1 binary64)))
(.f64 (-.f64 (hypot.f64 (.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) y) (.f64 (.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) y)) (.f64 (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) (pow.f64 (-.f64 (hypot.f64 (.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) y) (.f64 (.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) y)) #s(literal -1 binary64))))
(.f64 (hypot.f64 (pow.f64 (.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 y (.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) (.f64 (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) y))))
(.f64 (hypot.f64 (pow.f64 (.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 (-.f64 (hypot.f64 (.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) y) (.f64 (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) y)) #s(literal -1 binary64)))
(.f64 (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) (.f64 (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x (neg.f64 y)) (pow.f64 (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x (neg.f64 y)) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x (neg.f64 y))) (/.f64 (pow.f64 (.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x (neg.f64 y)))) (.f64 (/.f64 (.f64 y y) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x (neg.f64 y))) (/.f64 (.f64 y y) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x (neg.f64 y))))) (+.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x (neg.f64 y))) (/.f64 (.f64 y y) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x (neg.f64 y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x (neg.f64 y))) (/.f64 (pow.f64 (.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x (neg.f64 y))) (fma.f64 (/.f64 (.f64 y y) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x (neg.f64 y))) (/.f64 (.f64 y y) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x (neg.f64 y))) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x (neg.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #s(literal 2 binary64)) (.f64 y y)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x (neg.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 (.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 (.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) y) (.f64 (.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) y)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (hypot.f64 (.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) y) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x (neg.f64 y))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #s(literal 4 binary64)) (.f64 (.f64 y y) (hypot.f64 y (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)))) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x (neg.f64 y))))
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(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) y)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (fma.f64 (/.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) y)) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y))) (neg.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 y y) y)) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (.f64 (+.f64 #s(literal 1 binary64) y) (.f64 y y))) (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y)))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))
(-.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 y #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) y)
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y))))
(+.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y))
(+.f64 (neg.f64 y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 y))

eval369.0ms (4.1%)

Memory: 27.1MiB live, 296.4MiB allocated
Compiler: Compiled 13 384 to 2 084 computations (84.4% saved)

prune26.0ms (0.3%)

Memory

11.9MiB live, 89.0MiB allocated

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	1 057	3	1 060
Fresh	2	2	4
Picked	1	4	5
Done	0	2	2
Total	1 060	11	1 071

Accuracy

100.0%

Counts

1 071 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.0%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
▶	29.3%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
▶	65.5%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y))
✓	77.4%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
✓	39.0%	#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
▶	68.0%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) y))
✓	58.7%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
▶	27.8%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y))
✓	26.3%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
✓	38.9%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
▶	41.0%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y))

Compiler

Compiled 117 to 121 computations (-3.4% saved)

simplify283.0ms (3.1%)

Memory

-21.6MiB live, 259.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

13 192×	`lower-fma.f32`
13 188×	`lower-fma.f64`
2 856×	`lower-*.f32`
2 848×	`lower-*.f64`
1 840×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	206
0	45	206
1	72	206
2	104	203
3	160	203
4	314	203
5	465	203
6	963	203
7	2121	203
8	4230	203
9	5716	203
10	6345	203
11	6783	203
12	6910	203
13	6953	203
14	7108	203
15	7339	203
16	7388	203
17	7388	203
0	8723	197

Stop Event

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

Calls

Call 1

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

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

localize61.0ms (0.7%)

Memory

-4.0MiB live, 155.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y))
accuracy	0.0078125	(/.f64 #s(approx (- 1 y) (neg.f64 y)) z)
accuracy	1.0598570676170065	(fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)
accuracy	31.20704068852133	#s(approx (- 1 y) (neg.f64 y))
accuracy	0.01953125	(/.f64 #s(approx (- z x) (neg.f64 x)) z)
accuracy	2.672602595049126	(*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y)
accuracy	21.12330853030571	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y))
accuracy	32.89478086159405	#s(approx (- z x) (neg.f64 x))
accuracy	0	(*.f64 z y)
accuracy	9.684386964073285	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
accuracy	36.69389027497074	#s(approx (+ x (* y (- z x))) (*.f64 z y))
accuracy	2.672602595049126	(*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)
accuracy	21.12330853030571	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y))
accuracy	31.28876409185076	#s(approx (/ (- z x) z) #s(literal 1 binary64))
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0.11166000976844202	(fma.f64 x (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))
accuracy	2.672602595049126	(*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) y)
accuracy	21.12330853030571	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) y))

Samples

39.0ms

256×

valid

Compiler

Compiled 139 to 24 computations (82.7% saved)

Precisions

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

ival-mult: 9.0ms (38.1% of total)

ival-div: 6.0ms (25.4% of total)

ival-sub: 3.0ms (12.7% of total)

ival-add: 3.0ms (12.7% of total)

ival-neg: 2.0ms (8.5% of total)

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

exact: 0.0ms (0% of total)

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

series32.0ms (0.3%)

Memory

1.3MiB live, 77.5MiB allocated

Counts

18 → 528

Calls

Call 1

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

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

Calls

9 calls:

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

simplify185.0ms (2%)

Memory

28.6MiB live, 183.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 664×	`lower-fma.f64`
8 664×	`lower-fma.f32`
2 862×	`lower-*.f64`
2 862×	`lower-*.f32`
1 714×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	4149
1	459	3255
2	1356	3255
3	3994	3255
4	6563	3255
0	8323	3066

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 497

Calls

Call 1

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

rewrite668.0ms (7.4%)

Memory

-176.7MiB live, 224.6MiB allocated

Rules

8 078×	`lower-fma.f32`
8 074×	`lower-fma.f64`
5 114×	`lower-*.f32`
5 106×	`lower-*.f64`
3 252×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	187
0	45	187
1	159	187
2	1046	184
0	8434	178

Stop Event

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

Counts

18 → 378

Calls

Call 1

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

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

eval108.0ms (1.2%)

Memory: 3.6MiB live, 121.2MiB allocated
Compiler: Compiled 10 479 to 1 357 computations (87.1% saved)

prune29.0ms (0.3%)

Memory

5.6MiB live, 78.7MiB allocated

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	875	0	875
Fresh	0	0	0
Picked	0	5	5
Done	0	6	6
Total	875	11	886

Accuracy

100.0%

Counts

886 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.0%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
✓	29.3%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
✓	65.5%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y))
✓	77.4%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
✓	39.0%	#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
✓	68.0%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) y))
✓	58.7%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
✓	27.8%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y))
✓	26.3%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
✓	38.9%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
✓	41.0%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y))

Compiler

Compiled 244 to 154 computations (36.9% saved)

regimes31.0ms (0.3%)

Memory

-6.4MiB live, 80.0MiB allocated

Counts

20 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	x
8.0ms	z
6.0ms	y
6.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Results

Accuracy	Segments	Branch
98.3%	1	`x`
98.3%	1	`y`
98.3%	1	`z`
98.3%	1	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`

Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes22.0ms (0.2%)

Memory

10.5MiB live, 48.6MiB allocated

Counts

14 → 3

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	y
5.0ms	x
5.0ms	z
4.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Results

Accuracy	Segments	Branch
86.8%	3	`x`
99.4%	3	`y`
87.7%	3	`z`
88.1%	3	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`

Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes5.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.3%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.1%)

Memory

-13.6MiB live, 23.9MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

6.0ms	y
4.0ms	z
3.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Results

Accuracy	Segments	Branch
87.3%	3	`z`
79.5%	2	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`
79.2%	2	`y`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes16.0ms (0.2%)

Memory

-8.7MiB live, 28.6MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
3.0ms	z
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
79.2%	2	`y`
77.4%	1	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`
77.4%	1	`x`
77.4%	1	`z`

Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes3.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
79.2%	2	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
77.4%	1	`x`
77.4%	1	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes15.0ms (0.2%)

Memory

-20.0MiB live, 20.3MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

8.0ms	y
2.0ms	z
2.0ms	x
2.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Results

Accuracy	Segments	Branch
62.9%	3	`z`
63.7%	3	`y`
48.2%	4	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`
58.4%	3	`x`

Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes6.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
41.0%	1	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`
41.0%	1	`x`
41.0%	1	`z`
41.0%	1	`y`

Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch28.0ms (0.3%)

Memory

8.7MiB live, 45.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.012776412482190793	0.9778282649058654
17.0ms	-63082935046856.86	-5.706038737971646e-9

Samples

16.0ms

288×

valid

Compiler

Compiled 300 to 301 computations (-0.3% saved)

Precisions

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

ival-sub: 4.0ms (42.6% of total)

ival-div: 2.0ms (21.3% of total)

ival-mult: 2.0ms (21.3% of total)

ival-add: 1.0ms (10.7% of total)

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

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

bsearch10.0ms (0.1%)

Memory

-23.9MiB live, 12.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.012776412482190793	0.9778282649058654
5.0ms	-5.847920624443741e+19	-32354862275306926000.0

Samples

3.0ms

64×

valid

Compiler

Compiled 188 to 200 computations (-6.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

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

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

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

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

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

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

bsearch17.0ms (0.2%)

Memory

31.1MiB live, 31.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	2.072168025020344e-38	1.049453390217205e-37
8.0ms	-1.749288945455676e-20	-3.8593468320526265e-21

Samples

9.0ms

192×

valid

Compiler

Compiled 204 to 229 computations (-12.3% saved)

Precisions

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

ival-sub: 1.0ms (22.9% of total)

ival-div: 1.0ms (22.9% of total)

ival-add: 1.0ms (22.9% of total)

ival-mult: 1.0ms (22.9% of total)

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

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

bsearch15.0ms (0.2%)

Memory

-14.6MiB live, 21.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.069430741317661e+227	4.370319207579035e+231

Samples

9.0ms

128×

valid

Compiler

Compiled 140 to 157 computations (-12.1% saved)

Precisions

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

ival-sub: 1.0ms (32.8% of total)

ival-div: 1.0ms (32.8% of total)

ival-add: 1.0ms (32.8% of total)

ival-mult: 1.0ms (32.8% of total)

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

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

bsearch1.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.069430741317661e+227	4.370319207579035e+231

Compiler

Compiled 140 to 157 computations (-12.1% saved)

bsearch26.0ms (0.3%)

Memory

-21.8MiB live, 28.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.012776412482190793	0.9778282649058654
4.0ms	-1.5211179340232418e-44	-1.0824525579421534e-44

Samples

7.0ms

144×

valid

Compiler

Compiled 102 to 153 computations (-50% saved)

Precisions

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

ival-sub: 1.0ms (30.1% of total)

ival-div: 1.0ms (30.1% of total)

ival-add: 1.0ms (30.1% of total)

ival-mult: 1.0ms (30.1% of total)

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

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

simplify33.0ms (0.4%)

Memory

0.7MiB live, 77.8MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`-commutative-binary64-.f64`
10×	`+-commutative-binary64-+.f64`
8×	`sub-neg-binary64-neg.f64-+.f64--.f64`
4×	`neg-sub0-binary64--.f64-neg.f64`
4×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	384
1	88	384
2	94	384
3	96	384

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))
(if (<=.f64 y #s(literal -7926335344172073/9007199254740992 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (.f64 (/.f64 (-.f64 z x) z) y)) (if (<=.f64 y #s(literal 1080863910568919/1125899906842624 binary64)) (/.f64 (+.f64 x #s(approx ( y (- z x)) (.f64 z y))) z) #s(approx (/ (+ x ( y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))))
(if (<=.f64 y #s(literal -33000000000000000000 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (.f64 (/.f64 (-.f64 z x) z) y)) (if (<=.f64 y #s(literal 1080863910568919/1125899906842624 binary64)) #s(approx (/ (+ x ( y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))))
(if (<=.f64 z #s(literal -5981525981032121/664613997892457936451903530140172288 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) (if (<=.f64 z #s(literal 3974910309120899/47890485652059026823698344598447161988085597568237568 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) #s(approx (/ (+ x ( y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))))
(if (<=.f64 y #s(literal 8200000000000000256261410501946375899365828553601811337240392755383030590886538858844143766625478605609348915756976125424907533110679370169637406025119432206875547024828312992912903645633001358487391002079290217378810431855919104 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z))
(if (<=.f64 y #s(literal 8500000000000000199949277188779359512577094963254905001730310074593019123159953149504518221499450239419513715745029226886421709825381116174235132779840690021238282584913178220042045983454607889306884720770648853553592645491621888 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
(if (<=.f64 y #s(literal -3013008832985607/200867255532373784442745261542645325315275374222849104412672 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) (if (<=.f64 y #s(literal 7493989779944505/576460752303423488 binary64)) #s(approx (/ (+ x ( y (- z x))) z) (/.f64 x z)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y))))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y))

Outputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))
(if (<=.f64 y #s(literal -7926335344172073/9007199254740992 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (.f64 (/.f64 (-.f64 z x) z) y)) (if (<=.f64 y #s(literal 1080863910568919/1125899906842624 binary64)) (/.f64 (+.f64 x #s(approx ( y (- z x)) (.f64 z y))) z) #s(approx (/ (+ x ( y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))))
(if (<=.f64 y #s(literal -7926335344172073/9007199254740992 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (.f64 (/.f64 (-.f64 z x) z) y)) (if (<=.f64 y #s(literal 1080863910568919/1125899906842624 binary64)) (/.f64 (+.f64 #s(approx ( y (- z x)) (.f64 z y)) x) z) #s(approx (/ (+ x ( y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))))
(if (<=.f64 y #s(literal -33000000000000000000 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (.f64 (/.f64 (-.f64 z x) z) y)) (if (<=.f64 y #s(literal 1080863910568919/1125899906842624 binary64)) #s(approx (/ (+ x ( y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))))
(if (<=.f64 z #s(literal -5981525981032121/664613997892457936451903530140172288 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) (if (<=.f64 z #s(literal 3974910309120899/47890485652059026823698344598447161988085597568237568 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) #s(approx (/ (+ x ( y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))))
(if (<=.f64 y #s(literal 8200000000000000256261410501946375899365828553601811337240392755383030590886538858844143766625478605609348915756976125424907533110679370169637406025119432206875547024828312992912903645633001358487391002079290217378810431855919104 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z))
(if (<=.f64 y #s(literal 8500000000000000199949277188779359512577094963254905001730310074593019123159953149504518221499450239419513715745029226886421709825381116174235132779840690021238282584913178220042045983454607889306884720770648853553592645491621888 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y))
(if (<=.f64 y #s(literal -3013008832985607/200867255532373784442745261542645325315275374222849104412672 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) (if (<=.f64 y #s(literal 7493989779944505/576460752303423488 binary64)) #s(approx (/ (+ x ( y (- z x))) z) (/.f64 x z)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y))))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y))

soundness1.6s (17.4%)

Memory

-5.3MiB live, 602.6MiB allocated

Rules

8 620×	`lower-fma.f64`
8 620×	`lower-fma.f32`
7 428×	`lower-fma.f64`
7 428×	`lower-fma.f32`
7 300×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	1006
1	346	742
2	1046	742
3	3278	742
4	5788	742
5	7697	742
0	8095	688
0	182	4037
1	590	3143
2	1695	3116
3	4516	3116
4	6977	3116
0	8182	2900
0	158	4062
1	495	3261
2	1433	3261
3	4023	3261
4	6521	3261
0	8272	3072

Stop Event

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

Compiler

Compiled 282 to 172 computations (39% saved)

preprocess92.0ms (1%)

Memory: 32.4MiB live, 147.0MiB allocated
Compiler: Compiled 400 to 160 computations (60% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze38.0ms (0.4%)

sample773.0ms (8.5%)

explain391.0ms (4.3%)

preprocess799.0ms (8.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify282.0ms (3.1%)

localize100.0ms (1.1%)

series10.0ms (0.1%)

simplify156.0ms (1.7%)

rewrite244.0ms (2.7%)

eval89.0ms (1%)

prune16.0ms (0.2%)

simplify182.0ms (2%)

localize77.0ms (0.9%)

series37.0ms (0.4%)

simplify144.0ms (1.6%)

rewrite227.0ms (2.5%)

eval364.0ms (4%)

prune45.0ms (0.5%)

simplify255.0ms (2.8%)

localize49.0ms (0.5%)

series29.0ms (0.3%)

simplify287.0ms (3.2%)

rewrite807.0ms (8.9%)

eval369.0ms (4.1%)

prune26.0ms (0.3%)

simplify283.0ms (3.1%)

localize61.0ms (0.7%)

series32.0ms (0.3%)

simplify185.0ms (2%)

rewrite668.0ms (7.4%)

eval108.0ms (1.2%)

prune29.0ms (0.3%)

regimes31.0ms (0.3%)

regimes22.0ms (0.2%)

regimes5.0ms (0.1%)

regimes13.0ms (0.1%)

regimes16.0ms (0.2%)

regimes3.0ms (0%)

regimes5.0ms (0.1%)

regimes15.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch28.0ms (0.3%)

bsearch10.0ms (0.1%)

bsearch17.0ms (0.2%)

bsearch15.0ms (0.2%)

bsearch1.0ms (0%)

bsearch26.0ms (0.3%)

simplify33.0ms (0.4%)

soundness1.6s (17.4%)

preprocess92.0ms (1%)

end0.0ms (0%)

Profiling