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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze46.0ms (0.6%)

Memory

-15.4MiB live, 61.5MiB 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)

sample1.4s (17.8%)

Memory

5.8MiB live, 960.7MiB allocated

Samples

791.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 255.0ms

ival-add: 75.0ms (29.5% of total)

ival-div: 57.0ms (22.4% of total)

ival-sub: 56.0ms (22% of total)

ival-mult: 52.0ms (20.4% of total)

ival-true: 6.0ms (2.4% of total)

exact: 5.0ms (2% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain75.0ms (1%)

Memory

33.9MiB live, 150.3MiB 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

28.0ms	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: 3.0ms (22.8% of total)

ival-mult: 3.0ms (22.8% of total)

ival-sub: 3.0ms (22.8% of total)

ival-add: 2.0ms (15.2% 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)

preprocess365.0ms (4.7%)

Memory

-1.8MiB live, 278.1MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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)

simplify297.0ms (3.8%)

Memory

-21.4MiB live, 135.9MiB 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)

localize19.0ms (0.2%)

Memory

24.9MiB live, 24.9MiB 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

13.0ms	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: 7.0ms

ival-div: 2.0ms (30.7% of total)

ival-mult: 2.0ms (30.7% of total)

ival-add: 1.0ms (15.4% of total)

ival-sub: 1.0ms (15.4% 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)

series14.0ms (0.2%)

Memory

-23.2MiB live, 13.8MiB 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)) (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 (/ (* 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 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 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 (* 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) (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 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 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 (* 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 (* -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 -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 -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>) () ())) ())
#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 (- 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 (- 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 (* -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 (* 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) 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 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 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 (* 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 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 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 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 (* 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)) 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)) (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)) 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)) (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)) 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>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	((* x (+ (- y z) 1)) (/ (* x (+ (- y z) 1)) z) (+ (- y z) 1) (- y z))
1.0ms	y	@	-inf	((* x (+ (- y z) 1)) (/ (* x (+ (- y z) 1)) z) (+ (- y z) 1) (- y z))
1.0ms	z	@	-inf	((* x (+ (- y z) 1)) (/ (* x (+ (- y z) 1)) z) (+ (- y z) 1) (- y z))
1.0ms	x	@	-inf	((* x (+ (- y z) 1)) (/ (* x (+ (- y z) 1)) z) (+ (- y z) 1) (- y z))
1.0ms	z	@	inf	((* x (+ (- y z) 1)) (/ (* x (+ (- y z) 1)) z) (+ (- y z) 1) (- y z))

simplify125.0ms (1.6%)

Memory

6.9MiB live, 121.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 342×	`lower-fma.f64`
7 342×	`lower-fma.f32`
2 540×	`lower-*.f64`
2 540×	`lower-*.f32`
1 510×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	877
1	263	697
2	804	697
3	2502	696
4	5584	695
0	8285	633

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 115

Calls

Call 1

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

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

rewrite190.0ms (2.4%)

Memory

34.1MiB live, 227.9MiB 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))
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eval64.0ms (0.8%)

Memory: -7.9MiB live, 114.6MiB allocated
Compiler: Compiled 10 642 to 1 391 computations (86.9% saved)

prune72.0ms (0.9%)

Memory

6.9MiB live, 124.8MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	484	9	493
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	485	9	494

Accuracy

100.0%

Counts

494 → 9

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)
	69.1%	#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
▶	36.0%	#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
▶	41.8%	#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))

Compiler

Compiled 180 to 106 computations (41.1% saved)

simplify220.0ms (2.8%)

Memory

-8.6MiB live, 106.0MiB 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 x z)
cost-diff	0	(*.f64 (/.f64 x z) y)
cost-diff	0	#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
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`
1 350×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	122
0	36	117
1	70	117
2	105	117
3	220	117
4	427	117
5	1096	117
6	3278	117
7	4153	117
8	4789	117
9	4876	117
10	4885	117
11	4895	117
12	5488	117
13	6535	117
14	7061	117
15	7214	117
16	7256	117
17	7256	117
18	7527	117
19	7904	117
0	8097	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 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
(/.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 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
(/.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

localize49.0ms (0.6%)

Memory

-9.8MiB live, 66.0MiB 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 x z)
accuracy	4.7844463723777295	(*.f64 (/.f64 x z) y)
accuracy	41.24589209979583	#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
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

35.0ms	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: 23.0ms

ival-mult: 8.0ms (35.3% of total)

ival-div: 7.0ms (30.9% of total)

ival-add: 3.0ms (13.2% of total)

ival-sub: 3.0ms (13.2% of total)

ival-neg: 1.0ms (4.4% 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)

series32.0ms (0.4%)

Memory

7.1MiB live, 44.5MiB 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 x z) y)) (patch #s(approx (/ ( x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x z) y) (patch (.f64 (/.f64 x z) y) #<representation binary64>) () ())
#s(alt (/.f64 x z) (patch (/.f64 x 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 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 y) z) (taylor 0 z) (#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 (+ y (* -1 z))) z) (taylor 0 z) (#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 (+ y (* -1 z))) z) (taylor 0 z) (#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 (+ y (* -1 z))) z) (taylor 0 z) (#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 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 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 (/ (* x (+ 1 y)) z) (taylor 0 z) (#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 (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#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 (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#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 (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#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 (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (.f64 (/.f64 x z) y)) (patch #s(approx (/ ( x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (.f64 (/.f64 x z) y)) (patch #s(approx (/ ( x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (.f64 (/.f64 x z) y)) (patch #s(approx (/ ( x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (.f64 (/.f64 x z) y)) (patch #s(approx (/ ( x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (.f64 (/.f64 x z) y) (patch (.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (.f64 (/.f64 x z) y) (patch (.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (.f64 (/.f64 x z) y) (patch (.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (.f64 (/.f64 x z) y) (patch (.f64 (/.f64 x z) y) #<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 (+ 1 y)) z) (taylor 0 z) (#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 (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#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 (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#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 (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#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 (* x (+ 1 y)) (taylor 0 z) (#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 (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#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 (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#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 (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#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 (/ (+ 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 (+ 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) (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 (taylor inf z) (#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 inf z) (#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 (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (.f64 (/.f64 x z) y)) (patch #s(approx (/ ( x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (.f64 (/.f64 x z) y) (patch (.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (.f64 (/.f64 x z) y) (patch (.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (.f64 (/.f64 x z) y) (patch (.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (.f64 (/.f64 x z) y) (patch (.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#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 (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#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 (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#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 (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#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 (* x (- (+ 1 y) z)) (taylor inf x) (#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 (* x (- (+ 1 y) z)) (taylor inf x) (#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 (* x (- (+ 1 y) z)) (taylor inf x) (#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 (* x (- (+ 1 y) z)) (taylor inf x) (#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 (* x (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<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 (* 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 (/ (* 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 #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 (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#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 (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#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 (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#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 (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (.f64 (/.f64 x z) y)) (patch #s(approx (/ ( x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (.f64 (/.f64 x z) y)) (patch #s(approx (/ ( x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (.f64 (/.f64 x z) y)) (patch #s(approx (/ ( x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (.f64 (/.f64 x z) y)) (patch #s(approx (/ ( x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (.f64 (/.f64 x z) y) (patch (.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (.f64 (/.f64 x z) y) (patch (.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (.f64 (/.f64 x z) y) (patch (.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (.f64 (/.f64 x z) y) (patch (.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#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 (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#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 (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#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 (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#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 (* x (- (+ 1 y) z)) (taylor -inf x) (#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 (* x (- (+ 1 y) z)) (taylor -inf x) (#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 (* x (- (+ 1 y) z)) (taylor -inf x) (#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 (* x (- (+ 1 y) z)) (taylor -inf x) (#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 (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<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 (* -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

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x))
4.0ms	x	@	inf	((* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x))
3.0ms	z	@	0	((* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x))
2.0ms	y	@	-inf	((* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x))
2.0ms	z	@	-inf	((* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x))

simplify131.0ms (1.7%)

Memory

3.3MiB live, 123.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 638×	`lower-fma.f64`
8 638×	`lower-fma.f32`
2 858×	`lower-*.f64`
2 858×	`lower-*.f32`
1 262×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	3285
1	468	2655
2	1430	2645
3	4046	2645
4	7074	2645
0	8061	2407

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 414

Calls

Call 1

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

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

rewrite176.0ms (2.2%)

Memory

1.4MiB live, 236.7MiB allocated

Rules

5 012×	`lower-fma.f32`
5 008×	`lower-fma.f64`
3 798×	`lower-*.f32`
3 794×	`lower-*.f64`
3 642×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	105
0	36	100
1	151	100
2	1005	100
0	8613	100

Stop Event

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

Counts

14 → 682

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

eval336.0ms (4.3%)

Memory: 14.5MiB live, 232.3MiB allocated
Compiler: Compiled 18 880 to 1 950 computations (89.7% saved)

prune280.0ms (3.6%)

Memory

-2.3MiB live, 232.2MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	1 164	4	1 168
Fresh	3	1	4
Picked	0	5	5
Done	0	0	0
Total	1 167	10	1 177

Accuracy

100.0%

Counts

1 177 → 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)
▶	32.2%	(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x)
▶	69.1%	#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 x z) x))
✓	36.0%	#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
▶	34.3%	#s(approx (/ (* x (+ (- y z) 1)) z) (.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z)))
✓	41.8%	#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))

Compiler

Compiled 146 to 86 computations (41.1% saved)

simplify215.0ms (2.7%)

Memory

-11.4MiB live, 100.0MiB 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 y z)
cost-diff	0	#s(approx (/ (- (- y z) -1) z) (/.f64 y z))
cost-diff	0	(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x)
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

3 464×	`lower-fma.f64`
3 464×	`lower-fma.f32`
1 752×	`lower-*.f32`
1 742×	`lower-*.f64`
1 436×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	159
0	43	159
1	81	155
2	128	155
3	282	155
4	559	155
5	1491	155
6	3817	155
7	4930	155
8	5486	155
9	5591	155
10	5610	155
11	5623	155
12	6413	155
13	7197	155
14	7626	155
15	7748	155
16	7805	155
17	7861	155
0	8119	151

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

localize83.0ms (1.1%)

Memory

11.6MiB live, 49.7MiB 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 y z)
accuracy	2.209526574563139	(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x)
accuracy	42.45113269365914	#s(approx (/ (- (- y z) -1) z) (/.f64 y 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

69.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 119 to 25 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 38.0ms (68.9% of total)

ival-div: 10.0ms (18.1% of total)

ival-sub: 5.0ms (9.1% of total)

ival-add: 2.0ms (3.6% 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)

series70.0ms (0.9%)

Memory

-11.8MiB live, 71.6MiB allocated

Counts

17 → 480

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

Calls

9 calls:

Time	Variable		Point	Expression
41.0ms	y	@	-inf	((/ (+ (* (- y z) x) x) z) (- (/ x z) x) (/ x z) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (/ y z) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (* y x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (- y -1) (* (* x y) (/ 1 z)) (/ (* x (+ (- y z) 1)) z) (* x y) (/ 1 z))
2.0ms	x	@	-inf	((/ (+ (* (- y z) x) x) z) (- (/ x z) x) (/ x z) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (/ y z) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (* y x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (- y -1) (* (* x y) (/ 1 z)) (/ (* x (+ (- y z) 1)) z) (* x y) (/ 1 z))
2.0ms	z	@	-inf	((/ (+ (* (- y z) x) x) z) (- (/ x z) x) (/ x z) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (/ y z) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (* y x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (- y -1) (* (* x y) (/ 1 z)) (/ (* x (+ (- y z) 1)) z) (* x y) (/ 1 z))
2.0ms	x	@	inf	((/ (+ (* (- y z) x) x) z) (- (/ x z) x) (/ x z) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (/ y z) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (* y x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (- y -1) (* (* x y) (/ 1 z)) (/ (* x (+ (- y z) 1)) z) (* x y) (/ 1 z))
1.0ms	z	@	0	((/ (+ (* (- y z) x) x) z) (- (/ x z) x) (/ x z) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (/ y z) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (* y x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (- y -1) (* (* x y) (/ 1 z)) (/ (* x (+ (- y z) 1)) z) (* x y) (/ 1 z))

simplify155.0ms (2%)

Memory

7.8MiB live, 126.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 540×	`lower-fma.f64`
8 540×	`lower-fma.f32`
3 012×	`lower-*.f64`
3 012×	`lower-*.f32`
1 444×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	3622
1	417	2952
2	1288	2900
3	3871	2900
4	6860	2900
0	8133	2671

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 476

Calls

Call 1

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

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

rewrite170.0ms (2.2%)

Memory

-5.4MiB live, 224.1MiB allocated

Rules

4 372×	`lower-/.f32`
4 362×	`lower-/.f64`
3 810×	`lower-*.f32`
3 800×	`lower-*.f64`
3 554×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	143
0	43	139
1	186	139
2	1266	139
0	8479	135

Stop Event

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

Counts

17 → 261

Calls

Call 1

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

eval189.0ms (2.4%)

Memory: 25.8MiB live, 226.1MiB allocated
Compiler: Compiled 7 585 to 610 computations (92% saved)

prune148.0ms (1.9%)

Memory

15.3MiB live, 166.1MiB allocated

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	736	1	737
Fresh	0	0	0
Picked	0	5	5
Done	0	5	5
Total	736	11	747

Accuracy

100.0%

Counts

747 → 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)
✓	32.2%	(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y 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)))
✓	36.0%	#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
✓	34.3%	#s(approx (/ (* x (+ (- y z) 1)) z) (.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z)))
✓	41.8%	#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))

Compiler

Compiled 105 to 61 computations (41.9% saved)

simplify334.0ms (4.3%)

Memory

-19.1MiB live, 138.1MiB 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

localize62.0ms (0.8%)

Memory

-14.2MiB live, 50.0MiB 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

15.0ms

256×

valid

Compiler

Compiled 21 to 11 computations (47.6% saved)

Precisions

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

ival-div: 3.0ms (35% of total)

ival-sub: 2.0ms (23.3% of total)

ival-mult: 2.0ms (23.3% of total)

ival-add: 1.0ms (11.7% of total)

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

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

series7.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB 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 (* 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 (/ 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 (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 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 (- (/ 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 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 (* -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 (- (/ 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 -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 (* -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 (- (+ 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 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 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 (- (+ 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 (* 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 (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- (* -1 (- 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 (* -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 -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>) () ())) ())

Calls

9 calls:

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

simplify205.0ms (2.6%)

Memory

-21.0MiB live, 91.3MiB 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	636
1	136	524
2	382	524
3	912	480
4	2960	480
5	5287	480
6	6594	480
7	6796	480
8	6823	480
9	6840	480
10	6860	480
11	7042	480
12	7606	480
0	8056	449

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

rewrite129.0ms (1.6%)

Memory

26.4MiB live, 180.8MiB 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)))

eval25.0ms (0.3%)

Memory: -17.5MiB live, 33.7MiB allocated
Compiler: Compiled 816 to 54 computations (93.4% saved)

prune15.0ms (0.2%)

Memory

-3.6MiB live, 34.6MiB allocated

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	0	0	0
Picked	0	1	1
Done	1	9	10
Total	109	12	121

Accuracy

100.0%

Counts

121 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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)
✓	32.2%	(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x)
	95.4%	#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 (fma.f64 y x x) 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)))
✓	36.0%	#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
✓	34.3%	#s(approx (/ (* x (+ (- y z) 1)) z) (.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z)))
✓	41.8%	#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))

Compiler

Compiled 238 to 100 computations (58% saved)

regimes24.0ms (0.3%)

Memory

22.2MiB live, 60.6MiB 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 (/.f64 x z) y))
#s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (*.f64 (/.f64 #s(literal 1 binary64) z) x)))
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y 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)
#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 (fma.f64 y x x) z) x))
(/.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 (-.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
#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 (fma.f64 y x x) z) x))
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.9%	2	`x`
96.5%	1	`y`
99.9%	3	`z`
99.2%	2	`(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes52.0ms (0.7%)

Memory

2.0MiB live, 41.2MiB allocated

Counts

14 → 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))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
#s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (*.f64 (/.f64 #s(literal 1 binary64) z) x)))
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y 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)
#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 (fma.f64 y x x) z) x))
(/.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 (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 (fma.f64 y x x) z) x))

Calls

4 calls:

37.0ms	x
5.0ms	y
5.0ms	z
4.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)

Results

Accuracy	Segments	Branch
95.4%	1	`y`
95.4%	1	`z`
95.4%	1	`(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)`
95.4%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes51.0ms (0.6%)

Memory

-9.1MiB live, 32.9MiB 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 (/.f64 x z) y))
#s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (*.f64 (/.f64 #s(literal 1 binary64) z) x)))
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y 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:

38.0ms	z
4.0ms	x
4.0ms	y
4.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB 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 (/.f64 x z) y))
#s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (*.f64 (/.f64 #s(literal 1 binary64) z) x)))
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y 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:

4.0ms

Results

Accuracy	Segments	Branch
91.3%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes33.0ms (0.4%)

Memory

-24.1MiB live, 13.2MiB 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 (/.f64 x z) y))
#s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (*.f64 (/.f64 #s(literal 1 binary64) z) x)))
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y 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:

29.0ms	z
4.0ms	y

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0%)

Memory

6.5MiB live, 6.5MiB 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 (/.f64 x z) y))
#s(approx (/ (+ (* (- y z) x) x) z) #s(approx (- (/ x z) x) (*.f64 (/.f64 #s(literal 1 binary64) z) x)))
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x)

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
86.8%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
86.8%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes17.0ms (0.2%)

Memory

-21.9MiB live, 16.4MiB 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	x
2.0ms	y
2.0ms	z
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)

regimes7.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB 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:

2.0ms	z
2.0ms	y
2.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
1.0ms	x

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)

regimes5.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB 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	y
1.0ms	x
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)

bsearch70.0ms (0.9%)

Memory

-22.3MiB live, 14.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	3.0218664474152598e+56	2.842656071270489e+57

Samples

5.0ms

96×

valid

Compiler

Compiled 171 to 110 computations (35.7% saved)

Precisions

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

ival-sub: 1.0ms (42.6% of total)

ival-div: 1.0ms (42.6% of total)

ival-mult: 1.0ms (42.6% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch90.0ms (1.2%)

Memory

-2.9MiB live, 44.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
76.0ms	223601043596.61465	3.4246411623448896e+21
12.0ms	-7.467526236127289e+54	-1.0410592019398254e+50

Samples

77.0ms

304×

valid

Compiler

Compiled 376 to 261 computations (30.6% saved)

Precisions

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

ival-sub: 2.0ms (27% of total)

ival-div: 2.0ms (27% of total)

ival-mult: 2.0ms (27% of total)

ival-add: 1.0ms (13.5% 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

3.1MiB live, 3.1MiB 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)

bsearch23.0ms (0.3%)

Memory

4.2MiB live, 42.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	7.980281215165676e+85	1.692759593467131e+86
13.0ms	-20.87039891434732	-1.3746814368765733e-9

Samples

11.0ms

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 (34% of total)

ival-mult: 2.0ms (34% of total)

ival-sub: 1.0ms (17% of total)

ival-add: 1.0ms (17% 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

3.0MiB live, 3.0MiB 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)

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

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

Compiler

Compiled 315 to 194 computations (38.4% saved)

bsearch46.0ms (0.6%)

Memory

-3.3MiB live, 35.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	0.001375209739097957	82.85246969679257
11.0ms	-31.359591636628753	-8.274390443621092e-9

Samples

34.0ms

272×

valid

Compiler

Compiled 287 to 184 computations (35.9% saved)

Precisions

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

ival-div: 2.0ms (30.5% of total)

ival-mult: 2.0ms (30.5% of total)

ival-sub: 1.0ms (15.3% of total)

ival-add: 1.0ms (15.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	371
1	86	371
2	97	371
3	101	371
4	103	371

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 320000000000000003275221446530736367881740420330391863296 binary64)) #s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 (fma.f64 y x x) z) x)) (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x))
#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 (fma.f64 y x x) z) x))
(if (<=.f64 z #s(literal -429999999999999970500448014277182571802393424429056 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 900000000000 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 -429999999999999970500448014277182571802393424429056 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 900000000000 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 80000000000000001170455618453989842477603439029172404742288862973583709140091857272832 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)) (.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) (if (<=.f64 y #s(literal 80000000000000001170455618453989842477603439029172404742288862973583709140091857272832 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 (/.f64 x z) y)) (if (<=.f64 y #s(literal 80000000000000001170455618453989842477603439029172404742288862973583709140091857272832 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))

Outputs
(if (<=.f64 x #s(literal 320000000000000003275221446530736367881740420330391863296 binary64)) #s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 (fma.f64 y x x) z) x)) (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x))
#s(approx (/ (+ (* (- y z) x) x) z) (-.f64 (/.f64 (fma.f64 y x x) z) x))
(if (<=.f64 z #s(literal -429999999999999970500448014277182571802393424429056 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 900000000000 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 -429999999999999970500448014277182571802393424429056 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 900000000000 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 -429999999999999970500448014277182571802393424429056 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 900000000000 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 80000000000000001170455618453989842477603439029172404742288862973583709140091857272832 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)) (.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) (if (<=.f64 y #s(literal 80000000000000001170455618453989842477603439029172404742288862973583709140091857272832 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 (/.f64 x z) y)) (if (<=.f64 y #s(literal 80000000000000001170455618453989842477603439029172404742288862973583709140091857272832 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 (19.2%)

Memory

-9.1MiB live, 834.4MiB allocated

Rules

8 638×	`lower-fma.f64`
8 638×	`lower-fma.f32`
8 540×	`lower-fma.f64`
8 540×	`lower-fma.f32`
7 342×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	877
1	263	697
2	804	697
3	2502	696
4	5584	695
0	8285	633
0	51	636
1	136	524
2	382	524
3	912	480
4	2960	480
5	5287	480
6	6594	480
7	6796	480
8	6823	480
9	6840	480
10	6860	480
11	7042	480
12	7606	480
0	8056	449
0	130	3622
1	417	2952
2	1288	2900
3	3871	2900
4	6860	2900
0	8133	2671
0	145	3285
1	468	2655
2	1430	2645
3	4046	2645
4	7074	2645
0	8061	2407
0	8	24
0	12	24
1	59	24
2	452	24
3	7437	24
0	8532	22

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×	node limit

Compiler

Compiled 445 to 203 computations (54.4% saved)

preprocess209.0ms (2.7%)

Memory: 14.1MiB live, 211.6MiB allocated
Compiler: Compiled 520 to 176 computations (66.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze46.0ms (0.6%)

sample1.4s (17.8%)

explain75.0ms (1%)

preprocess365.0ms (4.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify297.0ms (3.8%)

localize19.0ms (0.2%)

series14.0ms (0.2%)

simplify125.0ms (1.6%)

rewrite190.0ms (2.4%)

eval64.0ms (0.8%)

prune72.0ms (0.9%)

simplify220.0ms (2.8%)

localize49.0ms (0.6%)

series32.0ms (0.4%)

simplify131.0ms (1.7%)

rewrite176.0ms (2.2%)

eval336.0ms (4.3%)

prune280.0ms (3.6%)

simplify215.0ms (2.7%)

localize83.0ms (1.1%)

series70.0ms (0.9%)

simplify155.0ms (2%)

rewrite170.0ms (2.2%)

eval189.0ms (2.4%)

prune148.0ms (1.9%)

simplify334.0ms (4.3%)

localize62.0ms (0.8%)

series7.0ms (0.1%)

simplify205.0ms (2.6%)

rewrite129.0ms (1.6%)

eval25.0ms (0.3%)

prune15.0ms (0.2%)

regimes24.0ms (0.3%)

regimes52.0ms (0.7%)

regimes51.0ms (0.6%)

regimes5.0ms (0.1%)

regimes33.0ms (0.4%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes17.0ms (0.2%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch70.0ms (0.9%)

bsearch90.0ms (1.2%)

bsearch1.0ms (0%)

bsearch23.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch46.0ms (0.6%)

simplify9.0ms (0.1%)

soundness1.5s (19.2%)

preprocess209.0ms (2.7%)

end0.0ms (0%)

Profiling