Metrics for Diagrams.TwoD.Segment.Bernstein:evaluateBernstein from diagrams-lib-1.3.0.3

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze45.0ms (0.6%)

Memory

-4.8MiB live, 75.4MiB 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 10 computations (9.1% saved)

sample1.2s (16%)

Memory

12.6MiB live, 999.2MiB allocated

Samples

943.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 466.0ms

ival-div: 197.0ms (42.3% of total)

ival-add: 137.0ms (29.4% of total)

ival-mult: 59.0ms (12.7% of total)

ival-sub: 58.0ms (12.5% of total)

ival-true: 6.0ms (1.3% of total)

exact: 5.0ms (1.1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain78.0ms (1%)

Memory

19.2MiB live, 179.8MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)`	o/n	39	0
↳	`(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))`	overflow	53

Confusion

	Predicted +	Predicted -
+	39	0
-	0	217

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	39	0	0
-	0	0	217

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	217
1	39

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms	510×	0	valid
0.0ms	2×	2	valid

Compiler

Compiled 72 to 28 computations (61.1% saved)

Precisions

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

ival-div: 4.0ms (30.5% of total)

ival-mult: 3.0ms (22.9% of total)

ival-sub: 3.0ms (22.9% of total)

ival-add: 2.0ms (15.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess383.0ms (5%)

Memory

-8.4MiB live, 233.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14 244×	`lower-fma.f64`
14 244×	`lower-fma.f32`
3 296×	`lower-/.f32`
3 294×	`lower-/.f64`
2 676×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	92
1	135	86
2	419	83
3	1826	81
4	5081	81
5	7500	81
0	8	9
0	12	9
1	28	9
2	57	9
3	147	9
4	333	9
5	750	9
6	1629	9
7	2866	9
8	4292	9
9	5087	9
10	5604	9
11	5681	9
12	5711	9
13	5715	9
14	5807	9
15	5993	9
16	6027	9
17	6043	9
18	6147	9
19	6453	9
20	6465	9
21	6465	9
0	8603	8

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.6%	(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify306.0ms (4%)

Memory

16.1MiB live, 123.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

14 244×	`lower-fma.f64`
14 244×	`lower-fma.f32`
3 296×	`lower-/.f32`
3 294×	`lower-/.f64`
2 676×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
0	12	28
1	28	28
2	57	28
3	147	28
4	333	28
5	750	28
6	1629	28
7	2866	28
8	4292	28
9	5087	28
10	5604	28
11	5681	28
12	5711	28
13	5715	28
14	5807	28
15	5993	28
16	6027	28
17	6043	28
18	6147	28
19	6453	28
20	6465	28
21	6465	28
0	8603	26

Stop Event

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

Calls

Call 1

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

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

localize54.0ms (0.7%)

Memory

-34.1MiB live, 49.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y z)
accuracy	0.00390625	(+.f64 (-.f64 y z) #s(literal 1 binary64))
accuracy	0.0234375	(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
accuracy	9.21752113849527	(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)

Samples

47.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-add: 10.0ms (67.5% of total)

ival-div: 2.0ms (13.5% of total)

ival-mult: 2.0ms (13.5% of total)

ival-sub: 1.0ms (6.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

4 → 120

Calls

Call 1

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

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

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ (* x (+ (- y z) 1)) z)
1.0ms	x	@	0	(* x (+ (- y z) 1))
0.0ms	y	@	-inf	(* x (+ (- y z) 1))
0.0ms	z	@	-inf	(/ (* x (+ (- y z) 1)) z)
0.0ms	x	@	inf	(/ (* x (+ (- y z) 1)) z)

simplify114.0ms (1.5%)

Memory

-11.9MiB live, 143.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 442×	`lower-fma.f64`
7 442×	`lower-fma.f32`
2 644×	`lower-*.f64`
2 644×	`lower-*.f32`
1 508×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	697
1	263	697
2	801	697
3	2493	696
4	5556	695
0	8369	633

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 115

Calls

Call 1

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

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

rewrite162.0ms (2.1%)

Memory

21.2MiB live, 178.5MiB allocated

Rules

3 876×	`lower-*.f32`
3 874×	`lower-*.f64`
3 848×	`lower-fma.f64`
3 848×	`lower-fma.f32`
3 200×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	59	24
2	452	24
3	7437	24
0	8532	22

Stop Event

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

Counts

4 → 378

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64)) x) (fma.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal -1 binary64))) (fma.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) (-.f64 y z) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64)) x) (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64))) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)) x) (.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64)) (-.f64 y z)))) (+.f64 (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64)) (-.f64 y z)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)) x) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) (-.f64 #s(literal 1 binary64) (-.f64 y z))) (-.f64 #s(literal 1 binary64) (-.f64 y z)) (.f64 (.f64 (.f64 (-.f64 y z) (-.f64 y z)) (.f64 (-.f64 y z) (-.f64 y z))) (.f64 (-.f64 y z) (-.f64 y z))))) (fma.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) (.f64 (-.f64 y z) (-.f64 y z))) (.f64 (.f64 (-.f64 y z) (-.f64 y z)) (*.f64 (-.f64 y z) (-.f64 y z)))))
(*.f64 (neg.f64 (neg.f64 x)) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 y z))))
(.f64 (.f64 (fma.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (neg.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64))))
(.f64 (.f64 (fma.f64 (-.f64 y z) x x) (.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (-.f64 y z) (-.f64 y z))) (.f64 (-.f64 y z) x) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (-.f64 y z) (-.f64 y z)) (.f64 x (-.f64 x (*.f64 (-.f64 y z) x))))))
(*.f64 (neg.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (-.f64 y z) x x)))
(*.f64 (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64)) (/.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64))))
(.f64 (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 y z))) x))
(.f64 (fma.f64 (.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)) (/.f64 x (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) x))
(*.f64 (fma.f64 (-.f64 y z) x x) #s(literal 1 binary64))
(*.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) (neg.f64 (neg.f64 x)))
(*.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) x)
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) x x))
(*.f64 x (-.f64 (-.f64 y z) #s(literal -1 binary64)))
(/.f64 (.f64 x (.f64 (-.f64 (+.f64 z y) #s(literal 1 binary64)) (-.f64 (-.f64 y z) #s(literal -1 binary64)))) (-.f64 (+.f64 z y) #s(literal 1 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 y z) (-.f64 y z)))) (-.f64 #s(literal 1 binary64) (-.f64 y z)))
(/.f64 (.f64 x (.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 (+.f64 z y) #s(literal 1 binary64)) (.f64 y y)) (-.f64 (-.f64 y z) #s(literal -1 binary64)))) (fma.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 (+.f64 z y) #s(literal 1 binary64)) (.f64 y y)))
(/.f64 (*.f64 x (neg.f64 (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 y z)))
(/.f64 (.f64 x (neg.f64 (fma.f64 (.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (-.f64 y z) (-.f64 y z)))) (-.f64 x (*.f64 (-.f64 y z) x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64)) x)) (-.f64 #s(literal 1 binary64) (-.f64 y z)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (-.f64 y z) x x) (.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64))))) (neg.f64 (*.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (-.f64 y z) (-.f64 y z))) (.f64 (-.f64 y z) x) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (.f64 x x) (.f64 (-.f64 y z) (-.f64 y z)) (.f64 x (-.f64 x (.f64 (-.f64 y z) x))))))
(/.f64 (.f64 (.f64 (fma.f64 (-.f64 y z) x x) (.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))) #s(literal 1 binary64)) (.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (-.f64 y z) (-.f64 y z))) (.f64 (-.f64 y z) x) (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (.f64 (-.f64 y z) (-.f64 y z)) (.f64 x (-.f64 x (*.f64 (-.f64 y z) x)))))
(/.f64 (.f64 (.f64 (-.f64 (+.f64 z y) #s(literal 1 binary64)) (-.f64 (-.f64 y z) #s(literal -1 binary64))) x) (-.f64 (+.f64 z y) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 y z) (-.f64 y z))) x) (-.f64 #s(literal 1 binary64) (-.f64 y z)))
(/.f64 (.f64 (.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 (+.f64 z y) #s(literal 1 binary64)) (.f64 y y)) (-.f64 (-.f64 y z) #s(literal -1 binary64))) x) (fma.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 (+.f64 z y) #s(literal 1 binary64)) (.f64 y y)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64))) x) (-.f64 #s(literal 1 binary64) (-.f64 y z)))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64))) x) (neg.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64)) x) (-.f64 (-.f64 y z) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (-.f64 y z) x x) (.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))) (*.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (-.f64 y z) (-.f64 y z))) (.f64 (-.f64 y z) x) (.f64 (.f64 x x) x)) (fma.f64 x x (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 y z) (-.f64 y z))) (.f64 (*.f64 (-.f64 y z) x) x))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (-.f64 y z) (-.f64 y z))) (.f64 (-.f64 y z) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 x x) (.f64 (-.f64 y z) (-.f64 y z)) (.f64 x (-.f64 x (.f64 (-.f64 y z) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 y z) (-.f64 y z) #s(literal -1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64))) (.f64 (fma.f64 (-.f64 y z) x x) (*.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 (-.f64 y z) (-.f64 y z)) (.f64 x (-.f64 x (.f64 (-.f64 y z) x)))) (fma.f64 (.f64 (.f64 x x) (.f64 (-.f64 y z) (-.f64 y z))) (.f64 (-.f64 y z) x) (.f64 (.f64 x x) x))))
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))))
(neg.f64 (neg.f64 (fma.f64 (-.f64 y z) x x)))
(fma.f64 (/.f64 (.f64 (.f64 x (+.f64 z y)) (-.f64 y z)) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (fma.f64 z (-.f64 z y) (.f64 y y)) x)
(fma.f64 (/.f64 (.f64 (.f64 x (+.f64 z y)) (-.f64 y z)) (*.f64 (+.f64 z y) (-.f64 y z))) (-.f64 y z) x)
(fma.f64 (/.f64 (.f64 (fma.f64 (+.f64 z y) z (.f64 y y)) (.f64 (-.f64 y z) x)) (.f64 (fma.f64 (+.f64 z y) z (.f64 y y)) (-.f64 (.f64 y y) (.f64 (+.f64 z y) z)))) (-.f64 (.f64 y y) (*.f64 (+.f64 z y) z)) x)
(fma.f64 (/.f64 (.f64 (fma.f64 (+.f64 z y) z (.f64 y y)) (.f64 (-.f64 y z) x)) (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 y y)) y (.f64 (.f64 (.f64 (+.f64 z y) z) (.f64 (+.f64 z y) z)) (.f64 (+.f64 z y) z)))) (fma.f64 (.f64 (+.f64 z y) z) (-.f64 (.f64 (+.f64 z y) z) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) x)
(fma.f64 (*.f64 y #s(literal 1 binary64)) x (fma.f64 (neg.f64 x) z x))
(fma.f64 (.f64 y #s(literal 1 binary64)) x (.f64 (+.f64 (neg.f64 z) #s(literal 1 binary64)) x))
(fma.f64 (.f64 y #s(literal 1 binary64)) x (.f64 x (+.f64 (neg.f64 z) #s(literal 1 binary64))))
(fma.f64 (.f64 (.f64 x (+.f64 z y)) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (+.f64 z y)) x)
(fma.f64 (.f64 (fma.f64 (+.f64 z y) z (.f64 y y)) (.f64 (-.f64 y z) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z y) z (.f64 y y))) x)
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eval54.0ms (0.7%)

Memory: 19.4MiB live, 94.1MiB allocated
Compiler: Compiled 10 642 to 1 394 computations (86.9% saved)

prune74.0ms (1%)

Memory

-33.3MiB live, 125.3MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	483	10	493
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	484	10	494

Accuracy

100.0%

Counts

494 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.6%	(/.f64 (fma.f64 (-.f64 y z) x x) z)
	59.4%	(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z)
▶	59.4%	(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
	34.3%	(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
	85.4%	(*.f64 (fma.f64 (-.f64 y z) x x) (/.f64 #s(literal 1 binary64) z))
▶	96.5%	(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)
	86.4%	(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
	69.1%	#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
▶	32.2%	#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
▶	41.8%	#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))

Compiler

Compiled 204 to 122 computations (40.2% saved)

simplify210.0ms (2.7%)

Memory

16.9MiB live, 94.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

3 944×	`lower-fma.f32`
3 940×	`lower-fma.f64`
1 514×	`lower-*.f32`
1 510×	`lower-*.f64`
1 358×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	122
0	36	117
1	69	117
2	104	117
3	222	117
4	426	117
5	1093	117
6	3255	117
7	4124	117
8	4768	117
9	4855	117
10	4864	117
11	4874	117
12	5467	117
13	6520	117
14	7044	117
15	7197	117
16	7248	117
17	7248	117
18	7520	117
19	7896	117
0	8089	117

Stop Event

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

Calls

Call 1

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

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

localize56.0ms (0.7%)

Memory

1.4MiB live, 77.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y z)
accuracy	0.00390625	(fma.f64 (-.f64 y z) x x)
accuracy	9.21752113849527	(/.f64 (fma.f64 (-.f64 y z) x x) z)
accuracy	0	(fma.f64 y x x)
accuracy	9.21752113849527	(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
accuracy	24.480095812404176	#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))
accuracy	0	(/.f64 y z)
accuracy	5.254156851715155	(*.f64 (/.f64 y z) x)
accuracy	41.24589209979583	#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
accuracy	0	(neg.f64 x)
accuracy	37.22354283555374	#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
accuracy	0	(-.f64 y z)
accuracy	0.00390625	(-.f64 (-.f64 y z) #s(literal -1 binary64))
accuracy	0.01953125	(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)
accuracy	2.209526574563139	(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)

Samples

37.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 108 to 22 computations (79.6% saved)

Precisions

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

ival-mult: 10.0ms (42.3% of total)

ival-div: 7.0ms (29.6% of total)

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

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

ival-neg: 1.0ms (4.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series46.0ms (0.6%)

Memory

14.1MiB live, 53.9MiB allocated

Counts

14 → 420

Calls

Call 1

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

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

Calls

105 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	(/ (+ (* (- y z) x) x) z)
2.0ms	y	@	0	(* (/ y z) x)
1.0ms	x	@	-inf	(/ (+ (* (- y z) x) x) z)
1.0ms	x	@	0	(/ (+ (* (- y z) x) x) z)
0.0ms	z	@	0	(* (/ y z) x)

simplify123.0ms (1.6%)

Memory

8.0MiB live, 118.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 638×	`lower-fma.f64`
8 638×	`lower-fma.f32`
2 858×	`lower-*.f64`
2 858×	`lower-*.f32`
1 264×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	3291
1	468	2991
2	1430	2681
3	4044	2645
4	7078	2645
0	8055	2407

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 414

Calls

Call 1

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

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

rewrite365.0ms (4.8%)

Memory

-3.1MiB live, 204.2MiB allocated

Rules

5 040×	`lower-fma.f32`
5 036×	`lower-fma.f64`
3 792×	`lower-*.f32`
3 788×	`lower-*.f64`
3 656×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	105
0	36	100
1	151	100
2	1006	100
0	8623	100

Stop Event

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

Counts

14 → 671

Calls

Call 1

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

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

eval257.0ms (3.4%)

Memory: 9.4MiB live, 240.5MiB allocated
Compiler: Compiled 18 802 to 1 984 computations (89.4% saved)

prune188.0ms (2.4%)

Memory

-36.1MiB live, 233.7MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	1 156	4	1 160
Fresh	4	1	5
Picked	0	5	5
Done	0	0	0
Total	1 160	10	1 170

Accuracy

100.0%

Counts

1 170 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	85.6%	(/.f64 (fma.f64 (-.f64 y z) x x) z)
▶	59.4%	(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z)
▶	34.3%	(/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z)
✓	59.4%	(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
✓	96.5%	(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)
▶	69.1%	#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 x z) x))
✓	32.2%	#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
▶	34.3%	#s(approx (/ (* x (+ (- y z) 1)) z) (.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z)))
▶	36.0%	#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 y (/.f64 x z)))
✓	41.8%	#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))

Compiler

Compiled 146 to 86 computations (41.1% saved)

simplify304.0ms (4%)

Memory

-2.2MiB live, 72.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) z)
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (/ (* x (+ (- y z) 1)) z) (.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z)))
cost-diff	320	(.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z))
cost-diff	0	(-.f64 y #s(literal -1 binary64))
cost-diff	0	#s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))
cost-diff	0	(*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))))
cost-diff	0	(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z)
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (* (- y z) x) x) (*.f64 y x))
cost-diff	0	(/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z)
cost-diff	0	(/.f64 x z)
cost-diff	0	(*.f64 y (/.f64 x z))
cost-diff	0	#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 y (/.f64 x z)))
cost-diff	0	(/.f64 x z)
cost-diff	0	(-.f64 (/.f64 x z) x)
cost-diff	0	#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 x z) x))

Rules

4 240×	`lower-fma.f64`
4 240×	`lower-fma.f32`
2 256×	`lower-/.f32`
2 248×	`lower-/.f64`
2 032×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	155
0	39	151
1	73	151
2	113	151
3	242	151
4	453	151
5	965	151
6	2203	151
7	4462	151
8	5627	151
9	6097	151
10	6410	151
11	6468	151
12	6522	151
13	6752	151
14	7023	151
15	7136	151
16	7168	151
17	7174	151
18	7182	151
19	7190	151
20	7210	151
21	7270	151
22	7270	151
0	8350	146

Stop Event

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

Calls

Call 1

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

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

localize86.0ms (1.1%)

Memory

27.2MiB live, 104.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) z)
accuracy	0	(*.f64 x y)
accuracy	6.10595429966885	(.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z))
accuracy	41.24589209979583	#s(approx (/ (* x (+ (- y z) 1)) z) (.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z)))
accuracy	0	(-.f64 y #s(literal -1 binary64))
accuracy	0.0234375	(*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))))
accuracy	9.21752113849527	(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z)
accuracy	25.583657857349372	#s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))
accuracy	0	(*.f64 y x)
accuracy	9.21752113849527	(/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z)
accuracy	41.33583036121597	#s(approx (+ (* (- y z) x) x) (*.f64 y x))
accuracy	0	(/.f64 x z)
accuracy	4.7844463723777295	(*.f64 y (/.f64 x z))
accuracy	41.24589209979583	#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 y (/.f64 x z)))
accuracy	0	(/.f64 x z)
accuracy	0.0078125	(-.f64 (/.f64 x z) x)
accuracy	19.797062172182326	#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 x z) x))

Samples

52.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 117 to 22 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-sub: 17.0ms (48.4% of total)

ival-mult: 9.0ms (25.6% of total)

ival-div: 7.0ms (19.9% of total)

ival-add: 2.0ms (5.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series38.0ms (0.5%)

Memory

1.9MiB live, 37.5MiB allocated

Counts

16 → 468

Calls

Call 1

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

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

Calls

117 calls:

Time	Variable		Point	Expression
20.0ms	x	@	inf	(/ (+ (* (- y z) x) x) z)
0.0ms	x	@	0	(- (/ x z) x)
0.0ms	x	@	inf	(- (/ x z) x)
0.0ms	z	@	-inf	(/ 1 z)
0.0ms	x	@	-inf	(/ x z)

simplify128.0ms (1.7%)

Memory

-27.5MiB live, 166.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 440×	`lower-fma.f64`
7 440×	`lower-fma.f32`
2 812×	`lower-*.f64`
2 812×	`lower-*.f32`
1 316×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	3388
1	387	3180
2	1187	2828
3	3615	2828
4	6731	2828
0	8132	2605

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 464

Calls

Call 1

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

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

rewrite330.0ms (4.3%)

Memory

1.3MiB live, 281.7MiB allocated

Rules

5 058×	`lower-fma.f64`
5 058×	`lower-fma.f32`
4 254×	`lower-*.f32`
4 244×	`lower-*.f64`
3 956×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	136
0	39	132
1	160	132
2	1026	132
0	8409	127

Stop Event

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

Counts

16 → 298

Calls

Call 1

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

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

eval89.0ms (1.2%)

Memory: 35.7MiB live, 190.7MiB allocated
Compiler: Compiled 8 526 to 667 computations (92.2% saved)

prune151.0ms (2%)

Memory

-19.8MiB live, 136.5MiB allocated

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	808	1	809
Fresh	0	0	0
Picked	0	5	5
Done	0	5	5
Total	808	11	819

Accuracy

100.0%

Counts

819 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	85.6%	(/.f64 (fma.f64 (-.f64 y z) x x) z)
✓	59.4%	(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z)
✓	34.3%	(/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z)
✓	59.4%	(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
✓	96.5%	(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)
✓	69.1%	#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 x z) x))
▶	30.1%	#s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z)))
✓	32.2%	#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
✓	34.3%	#s(approx (/ (* x (+ (- y z) 1)) z) (.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z)))
✓	36.0%	#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 y (/.f64 x z)))
✓	41.8%	#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))

Compiler

Compiled 105 to 61 computations (41.9% saved)

simplify279.0ms (3.6%)

Memory

11.2MiB live, 131.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

8 088×	`lower-fma.f64`
8 088×	`lower-fma.f32`
2 920×	`lower-*.f64`
2 920×	`lower-*.f32`
1 116×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
0	13	33
1	22	33
2	44	33
3	101	33
4	204	33
5	502	33
6	1031	33
7	2642	33
8	5274	33
9	6772	33
10	7165	33
11	7215	33
12	7235	33
13	7241	33
14	7581	33
15	7828	33
16	7989	33
17	7993	33
18	7997	33
0	8005	32

Stop Event

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

Calls

Call 1

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

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

localize27.0ms (0.4%)

Memory

3.5MiB live, 39.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x z)
accuracy	19.797062172182326	#s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z)))
accuracy	31.034193605128188	#s(approx (- (/ x z) x) (/.f64 x z))

Samples

21.0ms

256×

valid

Compiler

Compiled 21 to 11 computations (47.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-sub: 7.0ms (50.6% of total)

ival-div: 3.0ms (21.7% of total)

ival-mult: 2.0ms (14.5% of total)

ival-add: 1.0ms (7.2% of total)

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

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

series3.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

3 → 84

Calls

Call 1

Inputs

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

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

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

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

Calls

21 calls:

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

simplify194.0ms (2.5%)

Memory

-10.5MiB live, 124.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 004×	`lower-fma.f64`
6 004×	`lower-fma.f32`
2 172×	`lower-*.f64`
2 172×	`lower-*.f32`
1 932×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	606
1	136	584
2	382	524
3	912	480
4	2960	480
5	5306	480
6	6600	480
7	6803	480
8	6830	480
9	6847	480
10	6867	480
11	7048	480
12	7612	480
0	8062	449

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

rewrite163.0ms (2.1%)

Memory

5.8MiB live, 165.2MiB allocated

Rules

5 304×	`lower-fma.f64`
5 304×	`lower-fma.f32`
4 586×	`lower-*.f64`
4 586×	`lower-*.f32`
3 680×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
0	13	31
1	67	31
2	551	31
0	8236	30

Stop Event

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

Counts

3 → 26

Calls

Call 1

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

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

eval17.0ms (0.2%)

Memory: -16.4MiB live, 22.0MiB allocated
Compiler: Compiled 816 to 56 computations (93.1% saved)

prune73.0ms (1%)

Memory

-12.5MiB live, 26.4MiB allocated

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	0	0
Picked	0	1	1
Done	0	10	10
Total	109	12	121

Accuracy

100.0%

Counts

121 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	85.6%	(/.f64 (fma.f64 (-.f64 y z) x x) z)
✓	59.4%	(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z)
✓	34.3%	(/.f64 #s(approx (+ (* (- y z) x) x) (*.f64 y x)) z)
✓	59.4%	(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
✓	96.5%	(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)
✓	69.1%	#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 x z) x))
✓	30.1%	#s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z)))
	30.1%	#s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (*.f64 (/.f64 #s(literal 1 binary64) z) x)))
✓	32.2%	#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
✓	34.3%	#s(approx (/ (* x (+ (- y z) 1)) z) (.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z)))
✓	36.0%	#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 y (/.f64 x z)))
✓	41.8%	#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))

Compiler

Compiled 237 to 100 computations (57.8% saved)

regimes23.0ms (0.3%)

Memory

27.0MiB live, 27.0MiB allocated

Counts

17 → 2

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	z
6.0ms	x
6.0ms	y
5.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)

Results

Accuracy	Segments	Branch
99.8%	2	`x`
96.5%	1	`y`
99.9%	3	`z`
99.1%	2	`(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes100.0ms (1.3%)

Memory

-36.4MiB live, 43.3MiB allocated

Counts

13 → 3

Calls

Call 1

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

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

Calls

4 calls:

53.0ms	x
5.0ms	z
5.0ms	y
4.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)

Results

Accuracy	Segments	Branch
94.0%	3	`y`
96.1%	3	`z`
93.7%	2	`(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)`
91.8%	2	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes17.0ms (0.2%)

Memory

34.0MiB live, 34.0MiB allocated

Counts

11 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
73.2%	3	`x`
88.2%	3	`y`
86.3%	4	`(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)`
91.3%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

-23.6MiB live, 14.0MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
91.3%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

20.2MiB live, 20.1MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
87.3%	3	`y`
73.1%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
86.8%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0.1%)

Memory

-31.1MiB live, 6.7MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
86.8%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

23.5MiB live, 23.5MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	z
2.0ms	y
2.0ms	x
2.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)

Results

Accuracy	Segments	Branch
69.1%	1	`z`
69.1%	1	`x`
69.1%	1	`(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)`
69.1%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (0.1%)

Memory

-17.9MiB live, 20.7MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
2.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
46.4%	3	`y`
55.9%	2	`(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)`
41.8%	1	`x`
68.1%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory

19.8MiB live, 19.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
41.8%	1	`x`
41.8%	1	`y`
41.8%	1	`(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)`
41.8%	1	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch14.0ms (0.2%)

Memory

-8.5MiB live, 34.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	9.273138506515202e-78	2.546424754402771e-75

Samples

8.0ms

128×

valid

Compiler

Compiled 215 to 142 computations (34% saved)

Precisions

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

ival-div: 3.0ms (55.5% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch5.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	1.9853776386247945e-15	3.460700046959016e-14

Samples

2.0ms

48×

valid

Compiler

Compiled 90 to 62 computations (31.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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)

exact: 0.0ms (0% of total)

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

bsearch24.0ms (0.3%)

Memory

-20.9MiB live, 57.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	6.806909412361051e+168	3.268484537267598e+176
9.0ms	-5.456302715776385e+148	-8.775944480489966e+147

Samples

13.0ms

240×

valid

Compiler

Compiled 327 to 203 computations (37.9% saved)

Precisions

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

ival-mult: 3.0ms (40.3% of total)

ival-div: 2.0ms (26.9% of total)

ival-sub: 1.0ms (13.4% of total)

ival-add: 1.0ms (13.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch50.0ms (0.6%)

Memory

5.5MiB live, 44.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	223601043596.61465	3.4246411623448896e+21
12.0ms	-7.467526236127289e+54	-1.0410592019398254e+50

Samples

36.0ms

304×

valid

Compiler

Compiled 376 to 261 computations (30.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 24.0ms (81.6% of total)

ival-sub: 2.0ms (6.8% of total)

ival-mult: 2.0ms (6.8% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	223601043596.61465	3.4246411623448896e+21
1.0ms	-7.467526236127289e+54	-1.0410592019398254e+50

Compiler

Compiled 357 to 223 computations (37.5% saved)

bsearch52.0ms (0.7%)

Memory

-3.6MiB live, 41.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
37.0ms	7.980281215165676e+85	1.692759593467131e+86
13.0ms	-20.87039891434732	-1.3746814368765733e-9

Samples

34.0ms

240×

valid

Compiler

Compiled 315 to 194 computations (38.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (33.8% of total)

ival-mult: 2.0ms (33.8% of total)

ival-sub: 1.0ms (16.9% of total)

ival-add: 1.0ms (16.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	7.980281215165676e+85	1.692759593467131e+86
1.0ms	-20.87039891434732	-1.3746814368765733e-9

Compiler

Compiled 315 to 194 computations (38.4% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	7.980281215165676e+85	1.692759593467131e+86
1.0ms	-20.87039891434732	-1.3746814368765733e-9

Compiler

Compiled 315 to 194 computations (38.4% saved)

bsearch30.0ms (0.4%)

Memory

1.4MiB live, 36.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.001375209739097957	82.85246969679257
17.0ms	-31.359591636628753	-8.274390443621092e-9

Samples

18.0ms

272×

valid

Compiler

Compiled 287 to 184 computations (35.9% saved)

Precisions

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

ival-sub: 2.0ms (29.5% of total)

ival-div: 2.0ms (29.5% of total)

ival-mult: 2.0ms (29.5% of total)

ival-add: 1.0ms (14.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify13.0ms (0.2%)

Memory

-20.2MiB live, 16.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	409
1	93	409
2	103	409
3	107	409
4	109	409

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 4237034830775731/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x))
(if (<=.f64 x #s(literal 6338253001141147/316912650057057350374175801344 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64))))
(if (<=.f64 z #s(literal -15999999999999999647942118490522562789837182231484817292356051919508223027665719878830816790772168223516292294648593239501414916907698342325821374464 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 350000000000000005342765043288059933424985696938039052407744856566531154007429344577740915314833407213802977714564266357756481930988542541874811452277766152294538888085504 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))))
(if (<=.f64 z #s(literal -365000000000000017464066202915732304965629485514752 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 95000000000000 binary64)) (/.f64 (.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) #s(approx (/ ( x (+ (- y z) 1)) z) (neg.f64 x))))
(if (<=.f64 z #s(literal -365000000000000017464066202915732304965629485514752 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 95000000000000 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))))
(if (<=.f64 y #s(literal -41/2 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (.f64 y x)) z) (if (<=.f64 y #s(literal 114999999999999994780783604737046611126799081327409879365931268354140026726357821030400 binary64)) #s(approx (/ ( x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)))
(if (<=.f64 y #s(literal -41/2 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (.f64 (/.f64 y z) x)) (if (<=.f64 y #s(literal 114999999999999994780783604737046611126799081327409879365931268354140026726357821030400 binary64)) #s(approx (/ ( x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 y (/.f64 x z)))))
(if (<=.f64 y #s(literal -41/2 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (.f64 y (/.f64 x z))) (if (<=.f64 y #s(literal 114999999999999994780783604737046611126799081327409879365931268354140026726357821030400 binary64)) #s(approx (/ ( x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 y (/.f64 x z)))))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(if (<=.f64 z #s(literal -1 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))))
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))

Outputs
(if (<=.f64 x #s(literal 4237034830775731/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x))
(if (<=.f64 x #s(literal 6338253001141147/316912650057057350374175801344 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64))))
(if (<=.f64 z #s(literal -15999999999999999647942118490522562789837182231484817292356051919508223027665719878830816790772168223516292294648593239501414916907698342325821374464 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 350000000000000005342765043288059933424985696938039052407744856566531154007429344577740915314833407213802977714564266357756481930988542541874811452277766152294538888085504 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))))
(if (<=.f64 z #s(literal -365000000000000017464066202915732304965629485514752 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 95000000000000 binary64)) (/.f64 (.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) #s(approx (/ ( x (+ (- y z) 1)) z) (neg.f64 x))))
(if (<=.f64 z #s(literal -365000000000000017464066202915732304965629485514752 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 95000000000000 binary64)) (/.f64 (.f64 #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) x) z) #s(approx (/ ( x (+ (- y z) 1)) z) (neg.f64 x))))
(if (<=.f64 z #s(literal -365000000000000017464066202915732304965629485514752 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 95000000000000 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))))
(if (<=.f64 y #s(literal -41/2 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (.f64 y x)) z) (if (<=.f64 y #s(literal 114999999999999994780783604737046611126799081327409879365931268354140026726357821030400 binary64)) #s(approx (/ ( x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)))
(if (<=.f64 y #s(literal -41/2 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (.f64 (/.f64 y z) x)) (if (<=.f64 y #s(literal 114999999999999994780783604737046611126799081327409879365931268354140026726357821030400 binary64)) #s(approx (/ ( x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 y (/.f64 x z)))))
(if (<=.f64 y #s(literal -41/2 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (.f64 (/.f64 y z) x)) (if (<=.f64 y #s(literal 114999999999999994780783604737046611126799081327409879365931268354140026726357821030400 binary64)) #s(approx (/ ( x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))))
(if (<=.f64 y #s(literal -41/2 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (.f64 y (/.f64 x z))) (if (<=.f64 y #s(literal 114999999999999994780783604737046611126799081327409879365931268354140026726357821030400 binary64)) #s(approx (/ ( x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 y (/.f64 x z)))))
(if (<=.f64 y #s(literal -41/2 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 114999999999999994780783604737046611126799081327409879365931268354140026726357821030400 binary64)) #s(approx (/ ( x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(if (<=.f64 z #s(literal -1 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (/.f64 x z))) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))))
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))

soundness1.5s (19%)

Memory

-96.5MiB live, 834.9MiB allocated

Rules

8 638×	`lower-fma.f64`
8 638×	`lower-fma.f32`
7 442×	`lower-fma.f64`
7 442×	`lower-fma.f32`
7 440×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	3291
1	468	2991
2	1430	2681
3	4044	2645
4	7078	2645
0	8055	2407
0	8	24
0	12	24
1	59	24
2	452	24
3	7437	24
0	8532	22
0	82	697
1	263	697
2	801	697
3	2493	696
4	5556	695
0	8369	633
0	119	3388
1	387	3180
2	1187	2828
3	3615	2828
4	6731	2828
0	8132	2605
0	23	105
0	36	100
1	151	100
2	1006	100
0	8623	100

Stop Event

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

Compiler

Compiled 504 to 220 computations (56.3% saved)

preprocess196.0ms (2.6%)

Memory: -10.5MiB live, 222.6MiB allocated
Compiler: Compiled 590 to 196 computations (66.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze45.0ms (0.6%)

sample1.2s (16%)

explain78.0ms (1%)

preprocess383.0ms (5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify306.0ms (4%)

localize54.0ms (0.7%)

series10.0ms (0.1%)

simplify114.0ms (1.5%)

rewrite162.0ms (2.1%)

eval54.0ms (0.7%)

prune74.0ms (1%)

simplify210.0ms (2.7%)

localize56.0ms (0.7%)

series46.0ms (0.6%)

simplify123.0ms (1.6%)

rewrite365.0ms (4.8%)

eval257.0ms (3.4%)

prune188.0ms (2.4%)

simplify304.0ms (4%)

localize86.0ms (1.1%)

series38.0ms (0.5%)

simplify128.0ms (1.7%)

rewrite330.0ms (4.3%)

eval89.0ms (1.2%)

prune151.0ms (2%)

simplify279.0ms (3.6%)

localize27.0ms (0.4%)

series3.0ms (0%)

simplify194.0ms (2.5%)

rewrite163.0ms (2.1%)

eval17.0ms (0.2%)

prune73.0ms (1%)

regimes23.0ms (0.3%)

regimes6.0ms (0.1%)

regimes100.0ms (1.3%)

regimes17.0ms (0.2%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

regimes5.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch14.0ms (0.2%)

bsearch5.0ms (0.1%)

bsearch24.0ms (0.3%)

bsearch50.0ms (0.6%)

bsearch1.0ms (0%)

bsearch52.0ms (0.7%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch30.0ms (0.4%)

simplify13.0ms (0.2%)

soundness1.5s (19%)

preprocess196.0ms (2.6%)

end0.0ms (0%)

Profiling