Metrics for Main:bigenough2 from A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample584.0ms (14.1%)

Memory

-12.5MiB live, 775.5MiB allocated

Samples

377.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 189.0ms

ival-add: 108.0ms (57% of total)

ival-mult: 74.0ms (39.1% of total)

ival-true: 5.0ms (2.6% of total)

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

Bogosity

explain67.0ms (1.6%)

Memory

8.9MiB live, 127.5MiB 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

22.0ms

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 (57.1% of total)

ival-mult: 3.0ms (34.3% of total)

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

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

preprocess57.0ms (1.4%)

Memory

8.8MiB live, 47.2MiB allocated

Algorithm

1×	egg-herbie

Rules

394×	`distribute-rgt-in`
354×	`unsub-neg`
318×	`sub-neg`
240×	`associate-r`
226×	`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

1.6MiB live, 1.6MiB 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)

simplify6.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB 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

92×	`lower-fma.f64`
92×	`lower-fma.f32`
60×	`lower-*.f32`
58×	`lower-*.f64`
32×	`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

localize18.0ms (0.4%)

Memory

-0.3MiB live, 39.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 z x)
accuracy	0.00390625	(+.f64 x (*.f64 y (+.f64 z x)))
accuracy	0.00390625	(*.f64 y (+.f64 z x))

Samples

13.0ms

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 (48.3% of total)

ival-mult: 2.0ms (48.3% of total)

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

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

series10.0ms (0.2%)

Memory

-28.4MiB live, 17.9MiB 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
3.0ms	y	@	-inf	(+ x (* y (+ z x)))
2.0ms	y	@	inf	(+ x (* y (+ z x)))
0.0ms	x	@	inf	(+ x (* y (+ z x)))
0.0ms	x	@	-inf	(+ x (* y (+ z x)))
0.0ms	z	@	inf	(+ x (* y (+ z x)))

simplify265.0ms (6.4%)

Memory

19.7MiB live, 93.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6 302×	`lower-fma.f64`
6 302×	`lower-fma.f32`
2 346×	`lower-*.f64`
2 346×	`lower-*.f32`
2 102×	`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)

rewrite261.0ms (6.3%)

Memory

-14.7MiB live, 230.0MiB allocated

Rules

4 948×	`lower-fma.f64`
4 948×	`lower-fma.f32`
4 672×	`lower-*.f32`
4 670×	`lower-*.f64`
3 162×	`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)) (-.f64 x (.f64 (+.f64 z x) y))))) #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)) (-.f64 x (*.f64 (+.f64 z x) y)))))
(.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 (.f64 (.f64 (.f64 (+.f64 z x) y) y) (+.f64 z x)) (+.f64 z x)) y) (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 z x) y) y) (+.f64 z x)) (+.f64 z x)) y) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))))
(.f64 (pow.f64 (/.f64 (-.f64 x (.f64 (+.f64 z x) y)) (.f64 (fma.f64 (.f64 (.f64 (+.f64 z x) y) y) (+.f64 z x) (.f64 x x)) (.f64 (-.f64 x (.f64 (+.f64 z x) y)) (fma.f64 (+.f64 z x) y x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (+.f64 z x) y) y) (+.f64 z x) (*.f64 x x))))
(.f64 (pow.f64 (/.f64 (-.f64 x (.f64 (+.f64 z x) y)) (.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)) (-.f64 x (.f64 (+.f64 z x) y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (+.f64 z x) y) y) (+.f64 z x)) (fma.f64 (.f64 (.f64 (+.f64 z x) y) y) (+.f64 z x) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (/.f64 (.f64 (-.f64 x (.f64 (+.f64 z x) y)) (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)) (-.f64 x (.f64 (+.f64 z x) y)))) (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 (-.f64 x (.f64 (+.f64 z x) y)) (fma.f64 (+.f64 z x) y x)) (.f64 (-.f64 x (*.f64 (+.f64 z x) y)) (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) (-.f64 x (.f64 (+.f64 z x) y))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x (.f64 (+.f64 z x) y)) (fma.f64 (+.f64 z x) y x))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 (+.f64 z x) y))) (.f64 (-.f64 x (.f64 (+.f64 z x) y)) (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 (neg.f64 (.f64 (-.f64 x (.f64 (+.f64 z x) y)) (fma.f64 (+.f64 z x) y x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (.f64 (+.f64 z x) y)))))
(.f64 (.f64 (neg.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) (neg.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y) (.f64 x x)))))
(.f64 (.f64 (-.f64 x (.f64 (+.f64 z x) y)) (fma.f64 (+.f64 z x) y x)) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 (+.f64 z x) y))))
(.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 (-.f64 x (.f64 (+.f64 z x) y)) (-.f64 x (*.f64 (+.f64 z x) y))))
(.f64 (fma.f64 (+.f64 z x) y x) (.f64 (-.f64 x (.f64 (+.f64 z x) y)) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 (+.f64 z x) y)))))
(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 (neg.f64 (neg.f64 (*.f64 (-.f64 z x) (+.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 x x) x) (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 z z) z)) (.f64 (.f64 (.f64 z z) z) (.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 x x) x) (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 z z) z)) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)))))
(/.f64 (neg.f64 (*.f64 (-.f64 z x) (+.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 z (/.f64 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 z (/.f64 z (-.f64 z x))) (neg.f64 (.f64 x (/.f64 x (-.f64 z x)))))
(+.f64 z x)
(+.f64 x z)

eval53.0ms (1.3%)

Memory: -4.2MiB live, 66.8MiB allocated
Compiler: Compiled 8 464 to 806 computations (90.5% saved)

prune55.0ms (1.3%)

Memory

9.9MiB live, 119.8MiB 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)
	97.7%	(fma.f64 z y (fma.f64 y x x))
▶	73.5%	(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
▶	63.0%	#s(approx (+ x (* y (+ z x))) (fma.f64 x y x))
▶	65.7%	#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 x z) y))
▶	40.3%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))

Compiler

Compiled 104 to 56 computations (46.2% saved)

simplify8.0ms (0.2%)

Memory

37.7MiB live, 37.7MiB 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

96×	`lower-fma.f32`
92×	`lower-fma.f64`
60×	`lower-*.f32`
56×	`lower-*.f64`
36×	`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

localize72.0ms (1.7%)

Memory

-37.2MiB live, 90.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z y)
accuracy	0.00390625	(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
accuracy	30.16686399297961	#s(approx (* y (+ z x)) (*.f64 z y))
accuracy	0	(+.f64 x z)
accuracy	0.00390625	(*.f64 (+.f64 x z) y)
accuracy	21.972848636351355	#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 x z) y))
accuracy	0	(fma.f64 x y x)
accuracy	23.68140400277667	#s(approx (+ x (* y (+ z x))) (fma.f64 x y x))
accuracy	0	(*.f64 z y)
accuracy	38.23052021800452	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
accuracy	0	(+.f64 z x)
accuracy	0.00390625	(fma.f64 (+.f64 z x) y x)

Samples

25.0ms

256×

valid

Compiler

Compiled 77 to 15 computations (80.5% saved)

Precisions

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

ival-mult: 7.0ms (53.9% of total)

ival-add: 5.0ms (38.5% of total)

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

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

series12.0ms (0.3%)

Memory

13.5MiB live, 13.5MiB 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>) () ())) ())
#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>) () ())) ())
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#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	@	inf	(* z y)
0.0ms	y	@	0	(* z y)
0.0ms	x	@	0	(+ (* x y) x)

simplify267.0ms (6.5%)

Memory

-0.8MiB live, 155.8MiB allocated

Algorithm

1×	egg-herbie

Rules

5 914×	`lower-fma.f64`
5 914×	`lower-fma.f32`
4 242×	`lower-*.f64`
4 242×	`lower-*.f32`
984×	`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)))))
(+ 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)))))
(* 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)
(+ (* x y) (* y z))
(+ (* x y) (* y z))
(+ (* x y) (* y z))
(* x y)
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(* 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)))))
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z
(+ x z)
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x
(* -1 (* x (- (* -1 (/ z x)) 1)))
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x
(+ x z)
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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)))
(* 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)))
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(* 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)
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(* y z)
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(* y z)
(+ (* x y) (* y z))
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(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x)))))
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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)
(* 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 z)
(+.f64 z x)
(+ x z)
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(+ x z)
(+.f64 z x)
z
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(+.f64 z x)
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(+.f64 z x)
(* z (+ 1 (/ x z)))
(+.f64 z x)
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(+.f64 z x)
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(+.f64 z x)
(* -1 (* z (- (* -1 (/ x z)) 1)))
(+.f64 z x)
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)
(* 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)
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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)
(* 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)
(*.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)
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(* y z)
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(* y z)
(*.f64 z y)
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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)
(*.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)
(+ (* 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)
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(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 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)
(* 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)
(* 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)
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(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)
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(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)))))
(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)
(* y z)
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(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
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(* y z)
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(*.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)

rewrite200.0ms (4.8%)

Memory

23.5MiB live, 256.6MiB allocated

Rules

8 474×	`lower-fma.f32`
8 470×	`lower-fma.f64`
5 740×	`lower-*.f32`
5 736×	`lower-*.f64`
4 292×	`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 (neg.f64 (fma.f64 y (+.f64 x z) x)) (-.f64 (.f64 y (+.f64 x z)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 y (+.f64 x z)) x))))
(.f64 (.f64 (neg.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 (neg.f64 (.f64 (fma.f64 (.f64 y (+.f64 x z)) (-.f64 (.f64 y (+.f64 x z)) x) (.f64 x x)) (fma.f64 y (+.f64 x z) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 y (+.f64 x z)) y) (+.f64 x z) (.f64 x (-.f64 x (*.f64 y (+.f64 x z))))))))
(.f64 (neg.f64 (.f64 (fma.f64 (.f64 y (+.f64 x z)) (-.f64 (.f64 y (+.f64 x z)) 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)) (-.f64 (.f64 y (+.f64 x z)) x) (.f64 x x)))))
(.f64 (.f64 (fma.f64 y (+.f64 x z) x) (-.f64 (.f64 y (+.f64 x z)) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (+.f64 x z)) 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 y (+.f64 x z)) y) (+.f64 x z) (.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 y (+.f64 x z)) y) (+.f64 x z) (.f64 x (-.f64 x (.f64 y (+.f64 x z))))))))
(.f64 (fma.f64 (.f64 (.f64 y (+.f64 x z)) y) (+.f64 x z) (.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)) (-.f64 (.f64 y (+.f64 x z)) x) (*.f64 x x)))))
(.f64 (.f64 (fma.f64 (.f64 y (+.f64 x z)) (-.f64 (.f64 y (+.f64 x z)) x) (.f64 x x)) (fma.f64 y (+.f64 x z) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y (+.f64 x z)) y) (+.f64 x z) (.f64 x (-.f64 x (*.f64 y (+.f64 x z)))))))
(.f64 (.f64 (fma.f64 (.f64 y (+.f64 x z)) (-.f64 (.f64 y (+.f64 x z)) x) (.f64 x x)) (fma.f64 y (+.f64 x z) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (+.f64 x z)) (-.f64 (.f64 y (+.f64 x z)) x) (.f64 x x))))
(.f64 (fma.f64 (.f64 y (+.f64 x z)) (-.f64 (.f64 y (+.f64 x z)) x) (.f64 x x)) (.f64 (fma.f64 y (+.f64 x z) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y (+.f64 x z)) y) (+.f64 x z) (.f64 x (-.f64 x (*.f64 y (+.f64 x z))))))))
(.f64 (fma.f64 (.f64 y (+.f64 x z)) (-.f64 (.f64 y (+.f64 x z)) x) (.f64 x x)) (.f64 (fma.f64 y (+.f64 x z) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (+.f64 x z)) (-.f64 (.f64 y (+.f64 x z)) x) (.f64 x x)))))
(.f64 (fma.f64 y (+.f64 x z) x) (.f64 (-.f64 (.f64 y (+.f64 x z)) x) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (+.f64 x z)) 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) (-.f64 (.f64 y (+.f64 x z)) x)) #s(literal 1 binary64)) (-.f64 (.f64 y (+.f64 x z)) 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)) (-.f64 (.f64 y (+.f64 x z)) x) (.f64 x x)) (fma.f64 y (+.f64 x z) x)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 y (+.f64 x z)) y) (+.f64 x z) (.f64 x (-.f64 x (*.f64 y (+.f64 x z))))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 y (+.f64 x z)) (-.f64 (.f64 y (+.f64 x z)) x) (.f64 x x)) (fma.f64 y (+.f64 x z) x)) #s(literal 1 binary64)) (fma.f64 (.f64 y (+.f64 x z)) (-.f64 (.f64 y (+.f64 x z)) x) (.f64 x x)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 y (+.f64 x z)) y) (+.f64 x z)) (-.f64 (.f64 y (+.f64 x z)) x)) (/.f64 (.f64 (.f64 (.f64 y (+.f64 x z)) y) (+.f64 x z)) (-.f64 (.f64 y (+.f64 x z)) x))) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y (+.f64 x z)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 y (+.f64 x z)) x)))) (+.f64 (/.f64 (.f64 (.f64 (.f64 y (+.f64 x z)) y) (+.f64 x z)) (-.f64 (.f64 y (+.f64 x z)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 y (+.f64 x z)) 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 (+.f64 x z)) y) (+.f64 x z)) (-.f64 x (.f64 y (+.f64 x z)))) (/.f64 (.f64 (.f64 (.f64 y (+.f64 x z)) y) (+.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 (+.f64 x z)) y) (+.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 (.f64 y y) 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 (+.f64 x z)) y) (+.f64 x z)) (-.f64 (.f64 y (+.f64 x z)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y (+.f64 x z)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 y (+.f64 x z)) y) (+.f64 x z)) (-.f64 (.f64 y (+.f64 x z)) x)) (/.f64 (.f64 (.f64 (.f64 y (+.f64 x z)) y) (+.f64 x z)) (-.f64 (.f64 y (+.f64 x z)) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y (+.f64 x z)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 y (+.f64 x z)) x)) (.f64 (/.f64 (.f64 (.f64 (.f64 y (+.f64 x z)) y) (+.f64 x z)) (-.f64 (.f64 y (+.f64 x z)) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 y (+.f64 x z)) 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 (+.f64 x z)) y) (+.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 (+.f64 x z)) y) (+.f64 x z)) (-.f64 x (.f64 y (+.f64 x z)))) (/.f64 (.f64 (.f64 (.f64 y (+.f64 x z)) y) (+.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 (+.f64 x z)) y) (+.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 y y) x) (.f64 (.f64 x x) y))) (fma.f64 (+.f64 x (.f64 y z)) (+.f64 x (.f64 y z)) (-.f64 (.f64 (.f64 (.f64 y y) 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 (neg.f64 (fma.f64 y (+.f64 x z) x)) (-.f64 (.f64 y (+.f64 x z)) x))) (neg.f64 (neg.f64 (-.f64 (*.f64 y (+.f64 x z)) x))))
(/.f64 (neg.f64 (.f64 (neg.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 (neg.f64 (.f64 (fma.f64 (.f64 y (+.f64 x z)) (-.f64 (.f64 y (+.f64 x z)) x) (.f64 x x)) (fma.f64 y (+.f64 x z) x)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 y (+.f64 x z)) y) (+.f64 x z) (.f64 x (-.f64 x (.f64 y (+.f64 x z))))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 (.f64 y (+.f64 x z)) (-.f64 (.f64 y (+.f64 x z)) x) (.f64 x x)) (fma.f64 y (+.f64 x z) x)))) (neg.f64 (neg.f64 (fma.f64 (.f64 y (+.f64 x z)) (-.f64 (.f64 y (+.f64 x z)) x) (*.f64 x x)))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 y (+.f64 x z)) y) (+.f64 x z) (.f64 x x)) (.f64 (fma.f64 y (+.f64 x z) x) (-.f64 (.f64 y (+.f64 x z)) x))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y (+.f64 x z)) y) (+.f64 x z) (.f64 x x)) (-.f64 (.f64 y (+.f64 x z)) x)))
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(/.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 (neg.f64 (+.f64 #s(approx ( y (+ z x)) (.f64 y z)) x)) (-.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 (.f64 x x) 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 x x) x) (.f64 (.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 (neg.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)))))
(/.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 (neg.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)))))
(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))

eval92.0ms (2.2%)

Memory: -18.2MiB live, 218.9MiB allocated
Compiler: Compiled 13 896 to 959 computations (93.1% saved)

prune310.0ms (7.5%)

Memory

15.8MiB live, 170.1MiB 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)
✓	73.5%	(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
▶	63.3%	#s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x)))
✓	63.0%	#s(approx (+ x (* y (+ z x))) (fma.f64 x y x))
✓	65.7%	#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 x z) y))
✓	40.3%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
▶	29.1%	#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

11.4MiB live, 11.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

92×	`lower-fma.f32`
90×	`lower-fma.f64`
60×	`lower-*.f32`
58×	`lower-*.f64`
32×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	57
0	16	55
1	27	55
2	36	55
3	42	55
4	48	55
5	48	55
6	61	55
7	61	55
8	73	55
9	75	55
10	79	55
0	79	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 z y (*.f64 y x)))
(fma.f64 z y (*.f64 y x))
z
y
(*.f64 y x)
x

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

localize39.0ms (0.9%)

Memory

-21.4MiB live, 55.3MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	1.4999834856333614	(fma.f64 z y (*.f64 y x))
accuracy	21.972848636351355	#s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x)))
accuracy	0	(*.f64 y x)
accuracy	23.68140400277667	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* x y) x) (*.f64 y x)))
accuracy	31.284372451705288	#s(approx (+ (* x y) x) (*.f64 y x))

Samples

24.0ms

256×

valid

Compiler

Compiled 39 to 13 computations (66.7% saved)

Precisions

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

ival-add: 9.0ms (58.4% of total)

ival-mult: 6.0ms (38.9% of total)

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

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

series5.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

5 → 156

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

Calls

39 calls:

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

simplify153.0ms (3.7%)

Memory

-16.4MiB live, 178.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 154×	`lower-fma.f64`
6 154×	`lower-fma.f32`
2 440×	`lower-*.f64`
2 440×	`lower-*.f32`
1 064×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	908
1	245	800
2	700	800
3	1838	800
4	4713	800
5	6791	800
0	8102	719

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

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)
(* 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 (+ 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)))))
(* 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)))))

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)
(* 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 (+ 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)
(* 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)

rewrite237.0ms (5.7%)

Memory

-25.3MiB live, 285.6MiB allocated

Rules

8 878×	`lower-fma.f32`
8 876×	`lower-fma.f64`
6 594×	`lower-*.f32`
6 592×	`lower-*.f64`
4 472×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
0	16	47
1	77	47
2	587	47
0	8561	43

Stop Event

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

Counts

5 → 84

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

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

eval42.0ms (1%)

Memory: 7.3MiB live, 43.4MiB allocated
Compiler: Compiled 3 308 to 243 computations (92.7% saved)

prune24.0ms (0.6%)

Memory

10.7MiB live, 59.7MiB 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)
✓	73.5%	(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
✓	63.3%	#s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x)))
✓	63.0%	#s(approx (+ x (* y (+ z x))) (fma.f64 x y x))
✓	65.7%	#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 x z) y))
✓	40.3%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
✓	29.1%	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* x y) x) (*.f64 y x)))

Compiler

Compiled 116 to 48 computations (58.6% saved)

regimes16.0ms (0.4%)

Memory

0.4MiB live, 39.4MiB 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 z y (*.f64 y x)))
(+.f64 x (*.f64 y (+.f64 z x)))
(fma.f64 z y (fma.f64 y x x))

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

Calls

4 calls:

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

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

-13.2MiB live, 25.0MiB 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	x
3.0ms	z
2.0ms	y
2.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

Results

Accuracy	Segments	Branch
86.8%	3	`x`
98.5%	3	`y`
84.9%	3	`z`
85.4%	3	`(+.f64 x (*.f64 y (+.f64 z x)))`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes3.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB 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))) (*.f64 (+.f64 x z) y))
#s(approx (+ x (* y (+ z x))) (fma.f64 x y x))
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 x z) y))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
88.4%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.2%)

Memory

17.6MiB live, 17.6MiB 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))) (fma.f64 x y x))
#s(approx (+ x (* y (+ z x))) (*.f64 z y))
#s(approx (+ x (* y (+ z x))) (fma.f64 x y x))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
77.6%	3	`z`
63.0%	1	`(+.f64 x (*.f64 y (+.f64 z x)))`
78.0%	3	`x`
69.5%	4	`y`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes8.0ms (0.2%)

Memory

-23.8MiB live, 15.4MiB 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))) #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)))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
44.1%	2	`(+.f64 x (*.f64 y (+.f64 z x)))`
47.6%	4	`y`
51.1%	3	`z`
53.1%	3	`x`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes6.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB 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:

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

Results

Accuracy	Segments	Branch
29.1%	1	`(+.f64 x (*.f64 y (+.f64 z x)))`
29.1%	1	`y`
29.1%	1	`z`
29.1%	1	`x`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch47.0ms (1.1%)

Memory

-34.8MiB live, 59.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
36.0ms	2.0016447544424086e-9	824.1821498007384
8.0ms	-2.1525227415846384	-0.026252530040749424

Samples

10.0ms

272×

valid

Compiler

Compiled 353 to 216 computations (38.8% saved)

Precisions

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

ival-add: 2.0ms (44.7% of total)

ival-mult: 2.0ms (44.7% of total)

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

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

bsearch23.0ms (0.6%)

Memory

38.1MiB live, 38.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.837240179575798e-132	2.406935622486629e-126
10.0ms	-55142191686.59675	-3311.6139291620057

Samples

11.0ms

288×

valid

Compiler

Compiled 355 to 210 computations (40.8% saved)

Precisions

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

ival-add: 3.0ms (63.4% of total)

ival-mult: 2.0ms (42.3% of total)

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

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

bsearch28.0ms (0.7%)

Memory

-30.3MiB live, 47.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.4262109310399306e-139	8.055681641524882e-122
13.0ms	-8.072265699649288e-106	-1.5896067702474416e-123

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: 4.0ms (60.1% of total)

ival-mult: 2.0ms (30.1% of total)

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

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

bsearch20.0ms (0.5%)

Memory

32.9MiB live, 32.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	3.364617261229206e+121	7.853411486282214e+122
10.0ms	-3.5785850869939177e-65	-6.741242278756705e-71

Samples

10.0ms

256×

valid

Compiler

Compiled 285 to 172 computations (39.6% saved)

Precisions

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

ival-add: 2.0ms (47.6% of total)

ival-mult: 2.0ms (47.6% of total)

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

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

simplify37.0ms (0.9%)

Memory

-29.8MiB live, 11.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	210
1	54	210

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 z x) y x)
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 (+.f64 x z) y)) (if (<=.f64 y #s(literal 1 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 -3400 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 (+.f64 x z) y)) (if (<=.f64 y #s(literal 7316598164803107/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 x y x)) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 x z) y))))
(if (<=.f64 x #s(literal -3188570148238937/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 x y x)) (if (<=.f64 x #s(literal 8559252817305067/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) #s(approx (+ x ( y (+ z x))) (fma.f64 x y x))))
(if (<=.f64 x #s(literal -6877123763982683/474284397516047136454946754595585670566993857190463750305618264096412179005177856 binary64)) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* x y) x) (.f64 y x))) (if (<=.f64 x #s(literal 34999999999999999586808719157555980309760793664156165736173314560112174979158610314632989733610336400169481770103407116288 binary64)) #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))) #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 -1 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 (+.f64 x z) y)) (if (<=.f64 y #s(literal 1 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 -1 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 (+.f64 x z) y)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 #s(approx ( y (+ z x)) (.f64 y z)) x) #s(approx (+ x ( y (+ z x))) (*.f64 (+.f64 x z) y))))
(if (<=.f64 y #s(literal -3400 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 (+.f64 x z) y)) (if (<=.f64 y #s(literal 7316598164803107/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 x y x)) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 x z) y))))
(if (<=.f64 x #s(literal -3188570148238937/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 x y x)) (if (<=.f64 x #s(literal 8559252817305067/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) #s(approx (+ x ( y (+ z x))) (fma.f64 x y x))))
(if (<=.f64 x #s(literal -3188570148238937/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 x y x)) (if (<=.f64 x #s(literal 8559252817305067/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 y z)) #s(approx (+ x ( y (+ z x))) (fma.f64 x y x))))
(if (<=.f64 x #s(literal -6877123763982683/474284397516047136454946754595585670566993857190463750305618264096412179005177856 binary64)) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* x y) x) (.f64 y x))) (if (<=.f64 x #s(literal 34999999999999999586808719157555980309760793664156165736173314560112174979158610314632989733610336400169481770103407116288 binary64)) #s(approx (+ x ( y (+ z x))) (.f64 z y)) #s(approx (+ x ( y (+ z x))) #s(approx (+ (* x y) x) (*.f64 y x)))))
(if (<=.f64 x #s(literal -6877123763982683/474284397516047136454946754595585670566993857190463750305618264096412179005177856 binary64)) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* x y) x) (.f64 y x))) (if (<=.f64 x #s(literal 34999999999999999586808719157555980309760793664156165736173314560112174979158610314632989733610336400169481770103407116288 binary64)) #s(approx (+ x ( y (+ z x))) (.f64 y z)) #s(approx (+ x ( y (+ z x))) #s(approx (+ (* x y) x) (*.f64 y x)))))
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* x y) x) (*.f64 y x)))

soundness1.0s (25.1%)

Memory

9.8MiB live, 358.1MiB allocated

Rules

6 302×	`lower-fma.f64`
6 302×	`lower-fma.f32`
5 914×	`lower-fma.f64`
5 914×	`lower-fma.f32`
4 948×	`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 195 to 86 computations (55.9% saved)

preprocess42.0ms (1%)

Memory: 30.5MiB live, 103.8MiB allocated
Compiler: Compiled 238 to 80 computations (66.4% 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	13	57
0	16	55
1	27	55
2	36	55
3	42	55
4	48	55
5	48	55
6	61	55
7	61	55
8	73	55
9	75	55
10	79	55
0	79	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	13	57
0	16	55
1	27	55
2	36	55
3	42	55
4	48	55
5	48	55
6	61	55
7	61	55
8	73	55
9	75	55
10	79	55
0	79	51

start0.0ms (0%)

analyze0.0ms (0%)

sample584.0ms (14.1%)

explain67.0ms (1.6%)

preprocess57.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize18.0ms (0.4%)

series10.0ms (0.2%)

simplify265.0ms (6.4%)

rewrite261.0ms (6.3%)

eval53.0ms (1.3%)

prune55.0ms (1.3%)

simplify8.0ms (0.2%)

localize72.0ms (1.7%)

series12.0ms (0.3%)

simplify267.0ms (6.5%)

rewrite200.0ms (4.8%)

eval92.0ms (2.2%)

prune310.0ms (7.5%)

simplify7.0ms (0.2%)

localize39.0ms (0.9%)

series5.0ms (0.1%)

simplify153.0ms (3.7%)

rewrite237.0ms (5.7%)

eval42.0ms (1%)

prune24.0ms (0.6%)

regimes16.0ms (0.4%)

regimes12.0ms (0.3%)

regimes3.0ms (0.1%)

regimes8.0ms (0.2%)

regimes8.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch47.0ms (1.1%)

bsearch23.0ms (0.6%)

bsearch28.0ms (0.7%)

bsearch20.0ms (0.5%)

simplify37.0ms (0.9%)

soundness1.0s (25.1%)

preprocess42.0ms (1%)

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	13	57
0	16	55
1	27	55
2	36	55
3	42	55
4	48	55
5	48	55
6	61	55
7	61	55
8	73	55
9	75	55
10	79	55
0	79	51