Metrics for Main:bigenough2 from A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample814.0ms (18.8%)

Memory

-31.2MiB live, 766.6MiB allocated

Samples

606.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 435.0ms

ival-add: 371.0ms (85.4% of total)

ival-mult: 55.0ms (12.7% of total)

ival-true: 5.0ms (1.2% of total)

ival-assert: 4.0ms (0.9% of total)

Bogosity

explain202.0ms (4.7%)

Memory

1.3MiB live, 78.0MiB 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

167.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-mult: 6.0ms (52.5% of total)

ival-add: 5.0ms (43.8% of total)

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

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

preprocess59.0ms (1.4%)

Memory

-1.9MiB live, 38.9MiB 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 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify5.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB 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

localize19.0ms (0.4%)

Memory

-9.1MiB live, 27.6MiB 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	0.015625	(*.f64 y (+.f64 z x))

Samples

15.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 3.0ms (59.1% of total)

ival-add: 2.0ms (39.4% of total)

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

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

series6.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB 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 (+ 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 (* 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 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 (* 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 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 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 (* 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 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 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 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 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 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 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 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 (* 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 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 (* 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 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 (+ 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 (* 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 (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 (* -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 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 -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

9 calls:

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

simplify167.0ms (3.9%)

Memory

16.0MiB live, 90.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 302×	`lower-fma.f64`
6 302×	`lower-fma.f32`
2 346×	`lower-*.f64`
2 346×	`lower-*.f32`
2 030×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	452
1	249	452
2	731	452
3	2093	452
4	4312	452
5	5677	452
6	6804	452
7	7667	452
0	8057	422

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 89

Calls

Call 1

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

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)
(* 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)
x
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z 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)
(* 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)
z
(* z (+ 1 (/ x z)))
(+.f64 z x)
(* z (+ 1 (/ x z)))
(+.f64 z x)
(* z (+ 1 (/ x z)))
(+.f64 z 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)
(* -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)
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)
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))
(*.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 (/ 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)
(* 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)
(* -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)
(* 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 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)
(* 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)
z
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z 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)
(* 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
(* x (+ 1 (/ z x)))
(+.f64 z x)
(* x (+ 1 (/ z x)))
(+.f64 z x)
(* x (+ 1 (/ z x)))
(+.f64 z 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 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
(* -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)

rewrite196.0ms (4.5%)

Memory

-27.8MiB live, 215.2MiB 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 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 z x) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y) (.f64 x x)) (+.f64 (pow.f64 (.f64 (+.f64 z x) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 z x) y) #s(literal 6 binary64))) (pow.f64 (.f64 (*.f64 (+.f64 z x) y) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x (.f64 (+.f64 z x) y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 z x) y) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 (.f64 (+.f64 z x) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x (.f64 (+.f64 z x) y)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 z x) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 (+.f64 z x) y) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (+.f64 z x) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 z x) y) #s(literal 3 binary64)))) (fma.f64 (.f64 (+.f64 z x) y) (fma.f64 (+.f64 z x) y x) (.f64 x x)))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y)) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (*.f64 (+.f64 z x) y))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y)) (-.f64 (.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (+.f64 z x) y) #s(literal 2 binary64))) (-.f64 (.f64 x x) (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64)))) (fma.f64 (+.f64 z x) y x))
(.f64 (-.f64 (pow.f64 (.f64 (+.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 x (.f64 (+.f64 z x) y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (+.f64 z x) y) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 x (.f64 (+.f64 z x) y)) #s(literal -1 binary64)) (-.f64 (.f64 x x) (pow.f64 (.f64 (+.f64 z x) y) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y) (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (.f64 (+.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y) (.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z x) y x))
(.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (+.f64 z x) y) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 x (.f64 (+.f64 z x) y))) #s(literal -1 binary64)))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (+.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y) (.f64 x x))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (+.f64 z x) y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (.f64 (+.f64 z x) y)) #s(literal -1 binary64)))
(.f64 (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) (pow.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y) (.f64 x x)) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 (+.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (fma.f64 (+.f64 z x) y x) (/.f64 (-.f64 x (.f64 (+.f64 z x) y)) (-.f64 x (*.f64 (+.f64 z x) y))))
(.f64 (fma.f64 (+.f64 z x) y x) (.f64 (-.f64 x (.f64 (+.f64 z x) y)) (pow.f64 (-.f64 x (.f64 (+.f64 z x) y)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (-.f64 (pow.f64 (.f64 (+.f64 z x) y) #s(literal 2 binary64)) (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 z x) y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (+.f64 z x) y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 z x) y) #s(literal 4 binary64))) (pow.f64 (-.f64 x (.f64 (+.f64 z x) y)) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (.f64 (+.f64 z x) y) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 z x) y) #s(literal 6 binary64))) (pow.f64 (-.f64 x (.f64 (+.f64 z x) y)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (.f64 (+.f64 z x) y) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 z x) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y) (.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (+.f64 z x) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y) (.f64 x x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 z x) y) #s(literal 6 binary64))) (pow.f64 (.f64 (*.f64 (+.f64 z x) y) x) #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (+.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (.f64 (+.f64 z x) y) (.f64 x x)))
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(+.f64 x z)

eval65.0ms (1.5%)

Memory: 8.0MiB live, 82.7MiB allocated
Compiler: Compiled 6 491 to 817 computations (87.4% saved)

prune203.0ms (4.7%)

Memory

-13.7MiB live, 68.6MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

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

Accuracy

100.0%

Counts

335 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 z x) y x)
	99.6%	(fma.f64 z y (fma.f64 y x x))
▶	77.3%	(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
▶	62.4%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
▶	64.7%	#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
▶	42.3%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))

Compiler

Compiled 68 to 64 computations (5.9% saved)

simplify7.0ms (0.2%)

Memory

15.4MiB live, 15.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (* y (+ z x)) (*.f64 z y))
cost-diff	0	(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
cost-diff	0	(+.f64 z x)
cost-diff	0	(*.f64 (+.f64 z x) y)
cost-diff	0	#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
cost-diff	0	(fma.f64 y x x)
cost-diff	0	#s(approx (+ x (* y (+ z x))) (fma.f64 y x 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	16	96
0	23	93
1	37	93
2	45	93
3	56	93
4	56	93
5	69	93
6	69	93
7	81	93
8	83	93
9	87	93
0	87	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 y x x))
(fma.f64 y x x)
y
x
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
(*.f64 (+.f64 z x) y)
(+.f64 z x)
z
x
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 y x x))
(fma.f64 y x x)
y
x
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
#s(approx (+ x (* y (+ z x))) (*.f64 y (+.f64 x z)))
(*.f64 (+.f64 z x) y)
(*.f64 y (+.f64 x z))
(+.f64 z x)
(+.f64 x z)
z
x
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

localize33.0ms (0.8%)

Memory

14.5MiB live, 51.8MiB 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	28.2985580304592	#s(approx (* y (+ z x)) (*.f64 z y))
accuracy	0	(+.f64 z x)
accuracy	0.015625	(*.f64 (+.f64 z x) y)
accuracy	22.61018814378851	#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
accuracy	0	(fma.f64 y x x)
accuracy	24.089560809663137	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
accuracy	0	(*.f64 z y)
accuracy	36.94694399282858	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
accuracy	0	(+.f64 z x)
accuracy	0.01171875	(fma.f64 (+.f64 z x) y x)

Samples

25.0ms

256×

valid

Compiler

Compiled 77 to 13 computations (83.1% saved)

Precisions

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

ival-add: 7.0ms (52.8% of total)

ival-mult: 6.0ms (45.3% of total)

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

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

series28.0ms (0.7%)

Memory

-25.4MiB live, 12.7MiB allocated

Counts

10 → 324

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

9 calls:

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

simplify168.0ms (3.9%)

Memory

38.2MiB live, 152.2MiB allocated

Algorithm

1×	egg-herbie

Rules

5 914×	`lower-fma.f64`
5 914×	`lower-fma.f32`
4 242×	`lower-*.f64`
4 242×	`lower-*.f32`
982×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	1700
1	273	1700
2	776	1700
3	2154	1700
4	4256	1700
5	5596	1700
6	6614	1700
7	7045	1700
8	7316	1700
9	7510	1700
0	8384	1529

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 312

Calls

Call 1

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

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

rewrite385.0ms (8.9%)

Memory

-5.0MiB live, 301.8MiB allocated

Rules

8 188×	`lower-fma.f32`
8 184×	`lower-fma.f64`
5 220×	`lower-*.f32`
5 216×	`lower-*.f64`
3 648×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	77
0	23	74
1	95	74
2	640	74
0	8020	74

Stop Event

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

Counts

10 → 387

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

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

eval165.0ms (3.8%)

Memory: 2.6MiB live, 139.7MiB allocated
Compiler: Compiled 13 431 to 1 274 computations (90.5% saved)

prune100.0ms (2.3%)

Memory

-7.6MiB live, 157.2MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	797	2	799
Fresh	1	0	1
Picked	0	5	5
Done	0	0	0
Total	798	7	805

Accuracy

100.0%

Counts

805 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 z x) y x)
✓	77.3%	(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
▶	64.3%	#s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x)))
✓	62.4%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
✓	64.7%	#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
✓	42.3%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
▶	27.4%	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 39 to 39 computations (0% saved)

simplify6.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB 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 (+ (* y x) x) (*.f64 y x))
cost-diff	0	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) 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	29	55
2	39	55
3	47	55
4	47	55
5	60	55
6	60	55
7	72	55
8	74	55
9	78	55
0	78	51

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize29.0ms (0.7%)

Memory

-13.2MiB live, 63.9MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0.2578097476055602	(fma.f64 z y (*.f64 y x))
accuracy	22.61018814378851	#s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x)))
accuracy	0	(*.f64 y x)
accuracy	24.089560809663137	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
accuracy	30.94302806407904	#s(approx (+ (* y x) x) (*.f64 y x))

Samples

23.0ms

256×

valid

Compiler

Compiled 39 to 12 computations (69.2% saved)

Precisions

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

ival-add: 7.0ms (58.7% of total)

ival-mult: 5.0ms (42% of total)

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

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

series12.0ms (0.3%)

Memory

-21.2MiB live, 22.2MiB allocated

Counts

5 → 156

Calls

Call 1

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

9 calls:

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

simplify109.0ms (2.5%)

Memory

35.5MiB live, 108.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 266×	`lower-fma.f64`
6 266×	`lower-fma.f32`
2 420×	`lower-*.f64`
2 420×	`lower-*.f32`
1 058×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	800
1	245	800
2	703	800
3	1842	800
4	4687	800
5	6747	800
0	8114	719

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

Calls

Call 1

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

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

rewrite203.0ms (4.7%)

Memory

-7.4MiB live, 241.1MiB allocated

Rules

8 910×	`lower-fma.f32`
8 908×	`lower-fma.f64`
6 626×	`lower-*.f32`
6 624×	`lower-*.f64`
4 518×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
0	16	47
1	72	47
2	593	47
0	8642	43

Stop Event

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

Counts

5 → 83

Calls

Call 1

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

eval38.0ms (0.9%)

Memory: -27.5MiB live, 47.0MiB allocated
Compiler: Compiled 2 944 to 338 computations (88.5% saved)

prune15.0ms (0.4%)

Memory

28.1MiB live, 28.1MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	262	0	262
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	262	7	269

Accuracy

100.0%

Counts

269 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 z x) y x)
✓	77.3%	(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
✓	64.3%	#s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x)))
✓	62.4%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
✓	64.7%	#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
✓	42.3%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
✓	27.4%	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 92 to 60 computations (34.8% saved)

regimes38.0ms (0.9%)

Memory

-11.2MiB live, 27.1MiB allocated

Counts

9 → 1

Calls

Call 1

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

27.0ms	y
4.0ms	x
4.0ms	z
3.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

Results

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

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes11.0ms (0.2%)

Memory

23.5MiB live, 23.5MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
88.4%	3	`x`
99.3%	3	`y`
89.9%	3	`z`
87.2%	4	`(+.f64 x (*.f64 y (+.f64 z x)))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes12.0ms (0.3%)

Memory

-32.5MiB live, 14.7MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
84.1%	3	`x`
80.1%	3	`z`
88.2%	3	`y`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
80.3%	3	`x`
62.4%	1	`(+.f64 x (*.f64 y (+.f64 z x)))`
70.2%	2	`y`

Compiler

Compiled 9 to 12 computations (-33.3% saved)

regimes10.0ms (0.2%)

Memory

-21.2MiB live, 16.2MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	y
2.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
42.3%	1	`(+.f64 x (*.f64 y (+.f64 z x)))`
48.5%	2	`y`
54.8%	3	`z`
53.2%	3	`x`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes5.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB 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 (+ (* y x) x) (*.f64 y x)))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
27.4%	1	`(+.f64 x (*.f64 y (+.f64 z x)))`
27.4%	1	`y`
27.4%	1	`x`
27.4%	1	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch27.0ms (0.6%)

Memory

9.3MiB live, 44.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	4.2228183213232606e-11	9.326878011867105e-7
12.0ms	-255831.69115899468	-1.862059547182996e-9

Samples

14.0ms

288×

valid

Compiler

Compiled 226 to 264 computations (-16.8% saved)

Precisions

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

ival-add: 3.0ms (63.2% of total)

ival-mult: 2.0ms (42.2% of total)

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

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

bsearch21.0ms (0.5%)

Memory

-0.1MiB live, 37.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.2790206661193295e-76	1.6206385883416693e-71
6.0ms	-29644092.65767676	-12215284.373196747

Samples

12.0ms

208×

valid

Compiler

Compiled 153 to 181 computations (-18.3% saved)

Precisions

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

ival-add: 2.0ms (55.6% of total)

ival-mult: 1.0ms (27.8% of total)

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

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

bsearch20.0ms (0.5%)

Memory

-17.5MiB live, 31.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.572660386638662e-74	1.3014377700291943e-73
8.0ms	-3.687471814322042e-152	-1.0961985343976858e-153

Samples

12.0ms

192×

valid

Compiler

Compiled 118 to 156 computations (-32.2% saved)

Precisions

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

ival-add: 2.0ms (63.9% of total)

ival-mult: 1.0ms (32% of total)

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

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

bsearch25.0ms (0.6%)

Memory

9.0MiB live, 46.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.2212621064760486e-46	3.854044752509559e-42
10.0ms	-6.715018164763589e-38	-1.2491684499573664e-45

Samples

10.0ms

272×

valid

Compiler

Compiled 163 to 233 computations (-42.9% saved)

Precisions

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

ival-add: 2.0ms (46.3% of total)

ival-mult: 2.0ms (46.3% of total)

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

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

simplify29.0ms (0.7%)

Memory

23.0MiB live, 60.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`-commutative-binary64-.f64`
4×	`+-commutative-binary64-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	204
1	50	204

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 z x) y)) (if (<=.f64 y #s(literal 8689154328480147/9444732965739290427392 binary64)) (+.f64 x #s(approx ( y (+ z x)) (.f64 z y))) #s(approx (+ x ( y (+ z x))) (*.f64 (+.f64 z x) y))))
(if (<=.f64 y #s(literal -12500000 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 1018517988167243/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x)) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))))
(if (<=.f64 x #s(literal -8609351781624141/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (if (<=.f64 x #s(literal 18649621365367/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x))))
(if (<=.f64 z #s(literal -6106364568184163/1606938044258990275541962092341162602522202993782792835301376 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 z #s(literal 2259756624739205/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (+ x ( y (+ z x))) #s(approx (+ (* y x) x) (.f64 y x))) #s(approx (+ x ( y (+ z x))) (*.f64 z y))))
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) 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 z x) y)) (if (<=.f64 y #s(literal 8689154328480147/9444732965739290427392 binary64)) (+.f64 x #s(approx ( y (+ z x)) (.f64 z y))) #s(approx (+ x ( y (+ z x))) (*.f64 (+.f64 z x) y))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 y (+.f64 x z))) (if (<=.f64 y #s(literal 8689154328480147/9444732965739290427392 binary64)) (+.f64 #s(approx ( y (+ z x)) (.f64 y z)) x) #s(approx (+ x ( y (+ z x))) (*.f64 y (+.f64 x z)))))
(if (<=.f64 y #s(literal -12500000 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 1018517988167243/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x)) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))))
(if (<=.f64 y #s(literal -12500000 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 y (+.f64 x z))) (if (<=.f64 y #s(literal 1018517988167243/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x)) #s(approx (+ x (* y (+ z x))) (*.f64 y (+.f64 x z)))))
(if (<=.f64 x #s(literal -8609351781624141/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (if (<=.f64 x #s(literal 18649621365367/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x))))
(if (<=.f64 x #s(literal -8609351781624141/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (if (<=.f64 x #s(literal 18649621365367/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 y z)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x))))
(if (<=.f64 z #s(literal -6106364568184163/1606938044258990275541962092341162602522202993782792835301376 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 z #s(literal 2259756624739205/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (+ x ( y (+ z x))) #s(approx (+ (* y x) x) (.f64 y x))) #s(approx (+ x ( y (+ z x))) (*.f64 z y))))
(if (<=.f64 z #s(literal -6106364568184163/1606938044258990275541962092341162602522202993782792835301376 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 y z)) (if (<=.f64 z #s(literal 2259756624739205/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (+ x ( y (+ z x))) #s(approx (+ (* y x) x) (.f64 y x))) #s(approx (+ x ( y (+ z x))) (*.f64 y z))))
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

soundness1.0s (23.9%)

Memory

-18.4MiB live, 455.3MiB 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	76	1700
1	273	1700
2	776	1700
3	2154	1700
4	4256	1700
5	5596	1700
6	6614	1700
7	7045	1700
8	7316	1700
9	7510	1700
0	8384	1529
0	70	452
1	249	452
2	731	452
3	2093	452
4	4312	452
5	5677	452
6	6804	452
7	7667	452
0	8057	422
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 155 to 92 computations (40.6% saved)

preprocess51.0ms (1.2%)

Memory: 23.8MiB live, 102.6MiB allocated
Compiler: Compiled 224 to 92 computations (58.9% 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	16	96
0	23	93
1	37	93
2	45	93
3	56	93
4	56	93
5	69	93
6	69	93
7	81	93
8	83	93
9	87	93
0	87	93

Iter	Nodes	Cost
0	13	57
0	16	55
1	29	55
2	39	55
3	47	55
4	47	55
5	60	55
6	60	55
7	72	55
8	74	55
9	78	55
0	78	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	16	96
0	23	93
1	37	93
2	45	93
3	56	93
4	56	93
5	69	93
6	69	93
7	81	93
8	83	93
9	87	93
0	87	93

Iter	Nodes	Cost
0	13	57
0	16	55
1	29	55
2	39	55
3	47	55
4	47	55
5	60	55
6	60	55
7	72	55
8	74	55
9	78	55
0	78	51

start0.0ms (0%)

analyze0.0ms (0%)

sample814.0ms (18.8%)

explain202.0ms (4.7%)

preprocess59.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize19.0ms (0.4%)

series6.0ms (0.1%)

simplify167.0ms (3.9%)

rewrite196.0ms (4.5%)

eval65.0ms (1.5%)

prune203.0ms (4.7%)

simplify7.0ms (0.2%)

localize33.0ms (0.8%)

series28.0ms (0.7%)

simplify168.0ms (3.9%)

rewrite385.0ms (8.9%)

eval165.0ms (3.8%)

prune100.0ms (2.3%)

simplify6.0ms (0.1%)

localize29.0ms (0.7%)

series12.0ms (0.3%)

simplify109.0ms (2.5%)

rewrite203.0ms (4.7%)

eval38.0ms (0.9%)

prune15.0ms (0.4%)

regimes38.0ms (0.9%)

regimes11.0ms (0.2%)

regimes12.0ms (0.3%)

regimes6.0ms (0.1%)

regimes10.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch27.0ms (0.6%)

bsearch21.0ms (0.5%)

bsearch20.0ms (0.5%)

bsearch25.0ms (0.6%)

simplify29.0ms (0.7%)

soundness1.0s (23.9%)

preprocess51.0ms (1.2%)

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	16	96
0	23	93
1	37	93
2	45	93
3	56	93
4	56	93
5	69	93
6	69	93
7	81	93
8	83	93
9	87	93
0	87	93

Iter	Nodes	Cost
0	13	57
0	16	55
1	29	55
2	39	55
3	47	55
4	47	55
5	60	55
6	60	55
7	72	55
8	74	55
9	78	55
0	78	51