Metrics for Main:bigenough2 from A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample675.0ms (16.5%)

Memory

12.3MiB live, 828.6MiB allocated

Samples

432.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

ival-add: 128.0ms (67% of total)

ival-mult: 54.0ms (28.3% of total)

ival-true: 6.0ms (3.1% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

explain69.0ms (1.7%)

Memory

-0.1MiB live, 154.6MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

26.0ms

512×

valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

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

ival-add: 5.0ms (55% of total)

ival-mult: 3.0ms (33% of total)

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

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

preprocess59.0ms (1.5%)

Memory

22.6MiB live, 59.9MiB allocated

Algorithm

1×	egg-herbie

Rules

197×	`distribute-rgt-in`
177×	`unsub-neg`
159×	`sub-neg`
120×	`associate-r`
113×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	70
1	94	63
2	290	63
3	708	63
4	1654	63
5	2395	63
6	2500	63
7	2500	63
0	6	7
0	9	7
1	18	7
2	29	7
3	38	7
4	42	7
5	48	7
6	48	7
7	61	7
8	61	7
9	73	7
10	75	7
11	79	7
0	79	6

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 6 computations (40% saved)

simplify10.0ms (0.3%)

Memory

-23.1MiB live, 11.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

46×	`lower-fma.f64`
46×	`lower-fma.f32`
30×	`lower-*.f32`
29×	`lower-*.f64`
16×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	29	18
3	38	18
4	42	18
5	48	18
6	48	18
7	61	18
8	61	18
9	73	18
10	75	18
11	79	18
0	79	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize24.0ms (0.6%)

Memory

0.4MiB live, 44.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 z x)
accuracy	0	(+.f64 x (*.f64 y (+.f64 z x)))
accuracy	0.0234375	(*.f64 y (+.f64 z x))

Samples

16.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-add: 2.0ms (45.9% of total)

ival-mult: 2.0ms (45.9% of total)

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

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

series6.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

3 → 96

Calls

Call 1

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

Inputs

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

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

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

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

Calls

24 calls:

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

simplify141.0ms (3.5%)

Memory

-6.2MiB live, 162.8MiB allocated

Algorithm

1×	egg-herbie

Rules

3 151×	`lower-fma.f64`
3 151×	`lower-fma.f32`
1 173×	`lower-*.f64`
1 173×	`lower-*.f32`
1 051×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	506
1	249	452
2	731	452
3	2098	452
4	4324	452
5	5687	452
6	6812	452
7	7730	452
0	8120	422

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 89

Calls

Call 1

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

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

rewrite262.0ms (6.4%)

Memory

29.6MiB live, 249.3MiB allocated

Rules

2 474×	`lower-fma.f64`
2 474×	`lower-fma.f32`
2 336×	`lower-*.f32`
2 335×	`lower-*.f64`
1 581×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	41	15
2	351	15
3	4269	15
0	8638	14

Stop Event

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

Counts

3 → 245

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y) (.f64 x x)) (.f64 (.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y) (.f64 x x)) (fma.f64 (+.f64 z x) y x)) (.f64 (fma.f64 (.f64 (+.f64 z x) y) (fma.f64 (+.f64 z x) y x) (.f64 x x)) (fma.f64 (neg.f64 y) (+.f64 z x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (+.f64 z x) y) (fma.f64 (+.f64 z x) y x) (*.f64 x x)) (fma.f64 (neg.f64 y) (+.f64 z x) x))))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y) (.f64 x x)) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) (pow.f64 (.f64 (+.f64 z x) y) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (.f64 (.f64 (.f64 (.f64 (+.f64 z x) y) (.f64 (.f64 y y) (+.f64 z x))) (+.f64 z x)) (-.f64 (.f64 (.f64 (.f64 (+.f64 z x) y) (.f64 (.f64 y y) (+.f64 z x))) (+.f64 z x)) (.f64 (.f64 x x) x))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) (+.f64 z x) x) (.f64 (fma.f64 (.f64 (+.f64 z x) y) (.f64 (+.f64 z x) y) (.f64 x x)) (.f64 (fma.f64 (neg.f64 y) (+.f64 z x) x) (fma.f64 (+.f64 z x) y x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (+.f64 z x) y) (.f64 (+.f64 z x) y) (*.f64 x x))))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) (+.f64 z x) x) (.f64 (.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y) (.f64 x x)) (fma.f64 (+.f64 z x) y x)) (.f64 (fma.f64 (.f64 (+.f64 z x) y) (fma.f64 (+.f64 z x) y x) (.f64 x x)) (fma.f64 (neg.f64 y) (+.f64 z x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (+.f64 z x) y) (+.f64 z x)) y) (fma.f64 (.f64 (+.f64 z x) y) (.f64 (+.f64 z x) y) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 y) (+.f64 z x) x) (fma.f64 (+.f64 z x) y x)) (.f64 (fma.f64 (.f64 (+.f64 z x) y) (fma.f64 (+.f64 z x) y x) (.f64 x x)) (fma.f64 (neg.f64 y) (+.f64 z x) x))) (fma.f64 (.f64 (+.f64 z x) y) (fma.f64 (+.f64 z x) y x) (*.f64 x x)))
(.f64 (/.f64 (.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y) (.f64 x x)) (fma.f64 (+.f64 z x) y x)) (.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y) (.f64 x x)) (-.f64 (.f64 x x) (.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y))))) (-.f64 (.f64 x x) (.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (*.f64 (+.f64 z x) y))))
(.f64 (/.f64 (.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y) (.f64 x x)) (fma.f64 (+.f64 z x) y x)) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (.f64 (.f64 (.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y)) (.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y))) (.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y))))) (fma.f64 (.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y)) (-.f64 (.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 y) (+.f64 z x) x) (fma.f64 (+.f64 z x) y x)) (*.f64 (fma.f64 (neg.f64 y) (+.f64 z x) x) (fma.f64 (+.f64 z x) y x))) (fma.f64 (+.f64 z x) y x))
(.f64 (.f64 (fma.f64 (+.f64 z x) y x) (fma.f64 (+.f64 z x) y (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z x) y (neg.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (+.f64 z x) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (neg.f64 y) (+.f64 z x) x) (fma.f64 (+.f64 z x) y x))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (+.f64 z x) x)) (.f64 (fma.f64 (neg.f64 y) (+.f64 z x) x) (fma.f64 (+.f64 z x) y x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y) (.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y) (.f64 x x)) (fma.f64 (+.f64 z x) y x))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y) (.f64 x x))) (.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y) (.f64 x x)) (fma.f64 (+.f64 z x) y x)))
(*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z x) y x))
(.f64 (.f64 (neg.f64 (fma.f64 (+.f64 z x) y x)) (fma.f64 (neg.f64 y) (+.f64 z x) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 y) (+.f64 z x) x))))
(.f64 (.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y) (.f64 x x)) (neg.f64 (fma.f64 (+.f64 z x) y x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y) (.f64 x x)))))
(.f64 (.f64 (fma.f64 (neg.f64 y) (+.f64 z x) x) (fma.f64 (+.f64 z x) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (+.f64 z x) x)))
(.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y) (.f64 x x)) (/.f64 (fma.f64 (+.f64 z x) y x) (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y) (*.f64 x x))))
(.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y) (.f64 x x)) (.f64 (fma.f64 (+.f64 z x) y x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y) (.f64 x x)))))
(.f64 (.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y) (.f64 x x)) (fma.f64 (+.f64 z x) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y) (.f64 x x))))
(*.f64 (fma.f64 (+.f64 z x) y x) (/.f64 (fma.f64 (neg.f64 y) (+.f64 z x) x) (fma.f64 (neg.f64 y) (+.f64 z x) x)))
(.f64 (fma.f64 (+.f64 z x) y x) (.f64 (fma.f64 (neg.f64 y) (+.f64 z x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (+.f64 z x) x))))
(pow.f64 (/.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (*.f64 (fma.f64 (+.f64 z x) y x) (fma.f64 (+.f64 z x) y (neg.f64 x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z x) y x)) #s(literal 1 binary64)) #s(literal -1 binary64))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 z z) (-.f64 z x)) (/.f64 (.f64 z z) (-.f64 z x))) (.f64 (.f64 x (/.f64 x (-.f64 z x))) (.f64 x (/.f64 x (-.f64 z x))))) (fma.f64 z (/.f64 z (-.f64 z x)) (*.f64 x (/.f64 x (-.f64 z x)))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (.f64 (-.f64 z x) (-.f64 z x)) (-.f64 z x))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (-.f64 z x) (-.f64 z x)) (-.f64 z x)))) (fma.f64 (/.f64 (.f64 z z) (-.f64 z x)) (/.f64 (.f64 z z) (-.f64 z x)) (fma.f64 (.f64 x (/.f64 x (-.f64 z x))) (.f64 x (/.f64 x (-.f64 z x))) (.f64 (/.f64 (.f64 z z) (-.f64 z x)) (*.f64 x (/.f64 x (-.f64 z x)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 x z))) (neg.f64 (-.f64 x z)))
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (neg.f64 (-.f64 z x)))) (neg.f64 (neg.f64 (-.f64 z x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x z) x (.f64 z z)))))
(/.f64 (.f64 (.f64 (fma.f64 z z (.f64 x x)) (.f64 (-.f64 z x) (+.f64 z x))) #s(literal 1 binary64)) (.f64 (fma.f64 z z (.f64 x x)) (-.f64 z x)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 x x) x)) (.f64 (fma.f64 (+.f64 z x) x (.f64 z z)) (-.f64 z x))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 z z) (.f64 z z) (.f64 (.f64 x x) (fma.f64 z z (*.f64 x x)))) (-.f64 z x)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 x x) x)) (.f64 (fma.f64 (+.f64 z x) x (.f64 z z)) (-.f64 z x))) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (+.f64 z x) x (.f64 z z)) (-.f64 z x)) (fma.f64 (-.f64 x z) x (*.f64 z z))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (.f64 z z) z))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) z)) z (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 z z) z)))) (fma.f64 (-.f64 x z) x (*.f64 z z))))
(/.f64 (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z)))
(/.f64 (-.f64 (.f64 (.f64 z z) (-.f64 z x)) (.f64 (-.f64 z x) (.f64 x x))) (*.f64 (-.f64 z x) (-.f64 z x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x))))
(/.f64 (.f64 (fma.f64 z z (.f64 x x)) (.f64 (-.f64 z x) (+.f64 z x))) (.f64 (-.f64 z x) (fma.f64 z z (*.f64 x x))))
(/.f64 (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 x x) x)) (.f64 (fma.f64 (+.f64 z x) x (.f64 z z)) (-.f64 z x))) (.f64 (-.f64 z x) (fma.f64 (.f64 z z) (.f64 z z) (.f64 (.f64 x x) (fma.f64 z z (.f64 x x))))))
(/.f64 (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 x x) x)) (.f64 (fma.f64 (+.f64 z x) x (.f64 z z)) (-.f64 z x))) (.f64 (fma.f64 (-.f64 x z) x (.f64 z z)) (.f64 (fma.f64 (+.f64 z x) x (.f64 z z)) (-.f64 z x))))
(/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (-.f64 x z))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 z x) (-.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (.f64 z z) z))) (.f64 (fma.f64 (-.f64 x z) x (.f64 z z)) (fma.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) z)) z (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 z z) z))))))
(/.f64 (*.f64 (+.f64 z x) (neg.f64 (-.f64 z x))) (neg.f64 (-.f64 z x)))
(/.f64 (neg.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (-.f64 x z) x (.f64 z z))))
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) (-.f64 z x))
(/.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 x x) x)) (fma.f64 (-.f64 x z) x (.f64 z z)))
(neg.f64 (neg.f64 (+.f64 z x)))
(fma.f64 (/.f64 (.f64 z z) (.f64 (fma.f64 (+.f64 z x) x (.f64 z z)) (-.f64 z x))) (fma.f64 (+.f64 z x) x (.f64 z z)) (neg.f64 (*.f64 x (/.f64 x (-.f64 z x)))))
(fma.f64 (/.f64 (.f64 z z) (.f64 (-.f64 z x) (+.f64 z x))) (+.f64 z x) (neg.f64 (*.f64 x (/.f64 x (-.f64 z x)))))
(fma.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) (-.f64 z x)) (neg.f64 (.f64 x (/.f64 x (-.f64 z x)))))
(fma.f64 z (/.f64 z (-.f64 z x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 z x)))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x z)) (/.f64 (.f64 z z) (-.f64 x z)))
(-.f64 (/.f64 (.f64 z z) (-.f64 z x)) (.f64 x (/.f64 x (-.f64 z x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x))) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 z z) (-.f64 z x)) (neg.f64 (.f64 x (/.f64 x (-.f64 z x)))))
(+.f64 z x)
(+.f64 x z)

eval42.0ms (1%)

Memory: -25.6MiB live, 58.7MiB allocated
Compiler: Compiled 8 464 to 813 computations (90.4% saved)

prune47.0ms (1.1%)

Memory

4.0MiB live, 80.3MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	328	6	334
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	329	6	335

Accuracy

100.0%

Counts

335 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 z x) y x)
	99.6%	(fma.f64 y x (fma.f64 z y x))
▶	77.8%	(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
▶	57.4%	#s(approx (+ x (* y (+ z x))) (fma.f64 x y x))
▶	68.6%	#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 x z) y))
▶	46.4%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))

Compiler

Compiled 104 to 56 computations (46.2% saved)

simplify7.0ms (0.2%)

Memory

8.4MiB live, 8.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

48×	`lower-fma.f32`
46×	`lower-fma.f64`
30×	`lower-*.f32`
28×	`lower-*.f64`
18×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	96
0	26	93
1	36	93
2	43	93
3	52	93
4	58	93
5	58	93
6	71	93
7	71	93
8	83	93
9	85	93
10	89	93
0	89	93

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize47.0ms (1.2%)

Memory

-8.8MiB live, 73.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
accuracy	0	(*.f64 z y)
accuracy	29.088954063307174	#s(approx (* y (+ z x)) (*.f64 z y))
accuracy	0	(+.f64 x z)
accuracy	0.0234375	(*.f64 (+.f64 x z) y)
accuracy	20.098433590733023	#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 x z) y))
accuracy	0	(fma.f64 x y x)
accuracy	27.271882465330528	#s(approx (+ x (* y (+ z x))) (fma.f64 x y x))
accuracy	0	(*.f64 z y)
accuracy	34.32187623775818	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
accuracy	0	(+.f64 z x)
accuracy	0.01171875	(fma.f64 (+.f64 z x) y x)

Samples

29.0ms

256×

valid

Compiler

Compiled 77 to 15 computations (80.5% saved)

Precisions

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

ival-mult: 10.0ms (60.6% of total)

ival-add: 6.0ms (36.3% of total)

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

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

series26.0ms (0.6%)

Memory

2.5MiB live, 50.4MiB allocated

Counts

11 → 348

Calls

Call 1

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

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

Calls

87 calls:

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

simplify269.0ms (6.6%)

Memory

23.1MiB live, 230.6MiB allocated

Algorithm

1×	egg-herbie

Rules

2 957×	`lower-fma.f64`
2 957×	`lower-fma.f32`
2 121×	`lower-*.f64`
2 121×	`lower-*.f32`
492×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	1760
1	273	1760
2	778	1760
3	2158	1760
4	4288	1760
5	5625	1760
6	6645	1760
7	7076	1760
8	7347	1760
9	7541	1760
0	8416	1589

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 330

Calls

Call 1

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

rewrite237.0ms (5.8%)

Memory

-19.6MiB live, 289.3MiB allocated

Rules

4 237×	`lower-fma.f32`
4 235×	`lower-fma.f64`
2 870×	`lower-*.f32`
2 868×	`lower-*.f64`
2 146×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	80
0	26	77
1	102	77
2	718	77
0	8374	77

Stop Event

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

Counts

11 → 391

Calls

Call 1

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

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

eval83.0ms (2%)

Memory: 21.4MiB live, 179.0MiB allocated
Compiler: Compiled 13 896 to 961 computations (93.1% saved)

prune119.0ms (2.9%)

Memory

-15.3MiB live, 191.5MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	745	2	747
Fresh	1	0	1
Picked	0	5	5
Done	0	0	0
Total	746	7	753

Accuracy

100.0%

Counts

753 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 z x) y x)
✓	77.8%	(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
▶	68.2%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x (*.f64 y z)))
✓	57.4%	#s(approx (+ x (* y (+ z x))) (fma.f64 x y x))
✓	68.6%	#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 x z) y))
✓	46.4%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
▶	26.1%	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* x y) x) (*.f64 y x)))

Compiler

Compiled 60 to 32 computations (46.7% saved)

simplify7.0ms (0.2%)

Memory

14.3MiB live, 14.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

46×	`lower-fma.f32`
45×	`lower-fma.f64`
30×	`lower-*.f32`
28×	`lower-*.f64`
16×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	57
0	17	55
1	28	55
2	37	55
3	43	55
4	49	55
5	49	55
6	62	55
7	62	55
8	74	55
9	76	55
10	80	55
0	80	51

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize43.0ms (1.1%)

Memory

-9.9MiB live, 67.6MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y z)
accuracy	0.24999724760556022	(fma.f64 y x (*.f64 y z))
accuracy	20.098433590733023	#s(approx (+ x (* y (+ z x))) (fma.f64 y x (*.f64 y z)))
accuracy	0	(*.f64 y x)
accuracy	27.271882465330528	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* x y) x) (*.f64 y x)))
accuracy	31.012339826290987	#s(approx (+ (* x y) x) (*.f64 y x))

Samples

28.0ms

256×

valid

Compiler

Compiled 39 to 13 computations (66.7% saved)

Precisions

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

ival-mult: 6.0ms (54.5% of total)

ival-add: 5.0ms (45.5% of total)

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

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

series6.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

6 → 180

Calls

Call 1

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

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

Calls

45 calls:

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

simplify131.0ms (3.2%)

Memory

-7.6MiB live, 148.6MiB allocated

Algorithm

1×	egg-herbie

Rules

3 133×	`lower-fma.f64`
3 133×	`lower-fma.f32`
1 210×	`lower-*.f64`
1 210×	`lower-*.f32`
533×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	980
1	245	872
2	700	872
3	1841	872
4	4659	872
5	6717	872
0	8094	791

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 177

Calls

Call 1

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

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

rewrite385.0ms (9.4%)

Memory

-19.8MiB live, 311.8MiB allocated

Rules

4 428×	`lower-fma.f32`
4 427×	`lower-fma.f64`
3 298×	`lower-*.f32`
3 296×	`lower-*.f64`
2 234×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
0	17	50
1	78	50
2	588	50
0	8566	46

Stop Event

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

Counts

6 → 86

Calls

Call 1

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

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

eval66.0ms (1.6%)

Memory: 16.7MiB live, 53.8MiB allocated
Compiler: Compiled 3 305 to 244 computations (92.6% saved)

prune23.0ms (0.6%)

Memory

14.7MiB live, 51.4MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	263	0	263
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	263	7	270

Accuracy

100.0%

Counts

270 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 z x) y x)
✓	77.8%	(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
✓	68.2%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x (*.f64 y z)))
✓	57.4%	#s(approx (+ x (* y (+ z x))) (fma.f64 x y x))
✓	68.6%	#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 x z) y))
✓	46.4%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
✓	26.1%	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* x y) x) (*.f64 y x)))

Compiler

Compiled 116 to 49 computations (57.8% saved)

regimes19.0ms (0.5%)

Memory

-11.6MiB live, 32.0MiB allocated

Counts

9 → 1

Calls

Call 1

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

Outputs
(fma.f64 (+.f64 z x) y x)

Calls

4 calls:

8.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
4.0ms	z
4.0ms	y
3.0ms	x

Results

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes12.0ms (0.3%)

Memory

-12.1MiB live, 25.8MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	z
3.0ms	y
3.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
2.0ms	x

Results

Accuracy	Segments	Branch
86.8%	3	`x`
99.6%	3	`y`
90.4%	3	`z`
86.9%	3	`(+.f64 x (*.f64 y (+.f64 z x)))`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes9.0ms (0.2%)

Memory

23.2MiB live, 23.2MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
86.1%	3	`x`
74.9%	3	`(+.f64 x (*.f64 y (+.f64 z x)))`
84.5%	3	`z`
83.6%	3	`y`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes8.0ms (0.2%)

Memory

-21.3MiB live, 16.9MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
62.8%	2	`y`
81.1%	3	`z`
80.8%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.2%)

Memory

17.2MiB live, 17.2MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	y
2.0ms	x
2.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
2.0ms	z

Results

Accuracy	Segments	Branch
49.6%	2	`y`
46.4%	1	`(+.f64 x (*.f64 y (+.f64 z x)))`
55.7%	3	`x`
59.1%	3	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes7.0ms (0.2%)

Memory

-22.9MiB live, 14.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	y
1.0ms	z
1.0ms	x
1.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

Results

Accuracy	Segments	Branch
26.1%	1	`(+.f64 x (*.f64 y (+.f64 z x)))`
26.1%	1	`y`
26.1%	1	`x`
26.1%	1	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch29.0ms (0.7%)

Memory

12.7MiB live, 51.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.0170891793790402e-13	0.1599896348086063
10.0ms	-925130.1129979505	-76.48996641071872

Samples

11.0ms

288×

valid

Compiler

Compiled 373 to 228 computations (38.9% saved)

Precisions

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

ival-add: 3.0ms (60% of total)

ival-mult: 2.0ms (40% of total)

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

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

bsearch23.0ms (0.6%)

Memory

16.2MiB live, 52.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	8.67345572379239e-38	3.5696708665752e-25
7.0ms	-1.1397042673284157e+137	-1.0037879890924173e+136

Samples

10.0ms

256×

valid

Compiler

Compiled 317 to 188 computations (40.7% saved)

Precisions

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

ival-add: 2.0ms (44.1% of total)

ival-mult: 2.0ms (44.1% of total)

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

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

bsearch28.0ms (0.7%)

Memory

-16.9MiB live, 59.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.2332412760483035e+53	1.598138820305476e+62
14.0ms	-2.577350591574645e+84	-1.359905142926284e+55

Samples

14.0ms

320×

valid

Compiler

Compiled 353 to 212 computations (39.9% saved)

Precisions

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

ival-add: 3.0ms (44% of total)

ival-mult: 3.0ms (44% of total)

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

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

bsearch26.0ms (0.6%)

Memory

6.3MiB live, 54.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.3513480211233868e-126	5.305455972680235e-102
10.0ms	-3.704184808016339e-40	-6.600671222950593e-43

Samples

12.0ms

304×

valid

Compiler

Compiled 336 to 202 computations (39.9% saved)

Precisions

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

ival-add: 3.0ms (57% of total)

ival-mult: 2.0ms (38% of total)

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

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

simplify7.0ms (0.2%)

Memory

12.4MiB live, 12.4MiB allocated

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	202
1	51	202

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 z x) y x)
(if (<=.f64 y #s(literal -78 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 (+.f64 x z) y)) (if (<=.f64 y #s(literal 5620492334958379/36028797018963968 binary64)) (+.f64 x #s(approx ( y (+ z x)) (.f64 z y))) #s(approx (+ x ( y (+ z x))) (*.f64 (+.f64 x z) y))))
(if (<=.f64 x #s(literal -10199999999999999642940970062598743977881190080060856973864444469607318031750930001655250718889379448631330269723150018080164515772628992 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 x y x)) (if (<=.f64 x #s(literal 3103375186318959/10889035741470030830827987437816582766592 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 (+.f64 x z) y)) #s(approx (+ x ( y (+ z x))) (fma.f64 x y x))))
(if (<=.f64 z #s(literal -80000000000000005802514910522338810092669952771721756441456812438323200 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 z #s(literal 4199999999999999819762048785580282796474100541596446490624 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 x y x)) #s(approx (+ x (* y (+ z x))) (*.f64 z y))))
(if (<=.f64 z #s(literal -6473261164617515/392318858461667547739736838950479151006397215279002157056 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 z #s(literal 920430864747775/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) #s(approx (+ x ( y (+ z x))) #s(approx (+ (* x y) x) (.f64 y x))) #s(approx (+ x ( y (+ z x))) (*.f64 z y))))
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* x y) x) (*.f64 y x)))

Outputs
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 x z) y x)
(if (<=.f64 y #s(literal -78 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 (+.f64 x z) y)) (if (<=.f64 y #s(literal 5620492334958379/36028797018963968 binary64)) (+.f64 x #s(approx ( y (+ z x)) (.f64 z y))) #s(approx (+ x ( y (+ z x))) (*.f64 (+.f64 x z) y))))
(if (<=.f64 y #s(literal -78 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 (+.f64 x z) y)) (if (<=.f64 y #s(literal 5620492334958379/36028797018963968 binary64)) (+.f64 #s(approx ( y (+ z x)) (.f64 y z)) x) #s(approx (+ x ( y (+ z x))) (*.f64 (+.f64 x z) y))))
(if (<=.f64 x #s(literal -10199999999999999642940970062598743977881190080060856973864444469607318031750930001655250718889379448631330269723150018080164515772628992 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 x y x)) (if (<=.f64 x #s(literal 3103375186318959/10889035741470030830827987437816582766592 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 (+.f64 x z) y)) #s(approx (+ x ( y (+ z x))) (fma.f64 x y x))))
(if (<=.f64 z #s(literal -80000000000000005802514910522338810092669952771721756441456812438323200 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 z #s(literal 4199999999999999819762048785580282796474100541596446490624 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 x y x)) #s(approx (+ x (* y (+ z x))) (*.f64 z y))))
(if (<=.f64 z #s(literal -80000000000000005802514910522338810092669952771721756441456812438323200 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 y z)) (if (<=.f64 z #s(literal 4199999999999999819762048785580282796474100541596446490624 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 x y x)) #s(approx (+ x (* y (+ z x))) (*.f64 y z))))
(if (<=.f64 z #s(literal -6473261164617515/392318858461667547739736838950479151006397215279002157056 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 z #s(literal 920430864747775/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) #s(approx (+ x ( y (+ z x))) #s(approx (+ (* x y) x) (.f64 y x))) #s(approx (+ x ( y (+ z x))) (*.f64 z y))))
(if (<=.f64 z #s(literal -6473261164617515/392318858461667547739736838950479151006397215279002157056 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 y z)) (if (<=.f64 z #s(literal 920430864747775/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) #s(approx (+ x ( y (+ z x))) #s(approx (+ (* x y) x) (.f64 y x))) #s(approx (+ x ( y (+ z x))) (*.f64 y z))))
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* x y) x) (*.f64 y x)))

soundness1.1s (25.9%)

Memory

-28.9MiB live, 335.3MiB allocated

Rules

3 151×	`lower-fma.f64`
3 151×	`lower-fma.f32`
2 957×	`lower-fma.f64`
2 957×	`lower-fma.f32`
2 474×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	506
1	249	452
2	731	452
3	2098	452
4	4324	452
5	5687	452
6	6812	452
7	7730	452
0	8120	422
0	76	1760
1	273	1760
2	778	1760
3	2158	1760
4	4288	1760
5	5625	1760
6	6645	1760
7	7076	1760
8	7347	1760
9	7541	1760
0	8416	1589
0	6	15
0	9	15
1	41	15
2	351	15
3	4269	15
0	8638	14

Stop Event

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

Compiler

Compiled 192 to 86 computations (55.2% saved)

preprocess62.0ms (1.5%)

Memory: 18.4MiB live, 92.5MiB allocated
Compiler: Compiled 232 to 80 computations (65.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	29	18
3	38	18
4	42	18
5	48	18
6	48	18
7	61	18
8	61	18
9	73	18
10	75	18
11	79	18
0	79	17

Iter	Nodes	Cost
0	17	96
0	26	93
1	36	93
2	43	93
3	52	93
4	58	93
5	58	93
6	71	93
7	71	93
8	83	93
9	85	93
10	89	93
0	89	93

Iter	Nodes	Cost
0	14	57
0	17	55
1	28	55
2	37	55
3	43	55
4	49	55
5	49	55
6	62	55
7	62	55
8	74	55
9	76	55
10	80	55
0	80	51

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	29	18
3	38	18
4	42	18
5	48	18
6	48	18
7	61	18
8	61	18
9	73	18
10	75	18
11	79	18
0	79	17

Iter	Nodes	Cost
0	17	96
0	26	93
1	36	93
2	43	93
3	52	93
4	58	93
5	58	93
6	71	93
7	71	93
8	83	93
9	85	93
10	89	93
0	89	93

Iter	Nodes	Cost
0	14	57
0	17	55
1	28	55
2	37	55
3	43	55
4	49	55
5	49	55
6	62	55
7	62	55
8	74	55
9	76	55
10	80	55
0	80	51

start0.0ms (0%)

analyze0.0ms (0%)

sample675.0ms (16.5%)

explain69.0ms (1.7%)

preprocess59.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.3%)

localize24.0ms (0.6%)

series6.0ms (0.1%)

simplify141.0ms (3.5%)

rewrite262.0ms (6.4%)

eval42.0ms (1%)

prune47.0ms (1.1%)

simplify7.0ms (0.2%)

localize47.0ms (1.2%)

series26.0ms (0.6%)

simplify269.0ms (6.6%)

rewrite237.0ms (5.8%)

eval83.0ms (2%)

prune119.0ms (2.9%)

simplify7.0ms (0.2%)

localize43.0ms (1.1%)

series6.0ms (0.1%)

simplify131.0ms (3.2%)

rewrite385.0ms (9.4%)

eval66.0ms (1.6%)

prune23.0ms (0.6%)

regimes19.0ms (0.5%)

regimes12.0ms (0.3%)

regimes9.0ms (0.2%)

regimes8.0ms (0.2%)

regimes7.0ms (0.2%)

regimes7.0ms (0.2%)

bsearch29.0ms (0.7%)

bsearch23.0ms (0.6%)

bsearch28.0ms (0.7%)

bsearch26.0ms (0.6%)

simplify7.0ms (0.2%)

soundness1.1s (25.9%)

preprocess62.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	29	18
3	38	18
4	42	18
5	48	18
6	48	18
7	61	18
8	61	18
9	73	18
10	75	18
11	79	18
0	79	17

Iter	Nodes	Cost
0	17	96
0	26	93
1	36	93
2	43	93
3	52	93
4	58	93
5	58	93
6	71	93
7	71	93
8	83	93
9	85	93
10	89	93
0	89	93

Iter	Nodes	Cost
0	14	57
0	17	55
1	28	55
2	37	55
3	43	55
4	49	55
5	49	55
6	62	55
7	62	55
8	74	55
9	76	55
10	80	55
0	80	51